Apparatus for locating and aligning golf club shaft spine

Golf club ridge positioning and correcting device

Apparatus for Locating and Aligning Golf Club Shaft Spine

New field

This creation is about how to position and align the ridge of a golf club shaft. In particular, the present invention relates to a technique and apparatus for recognizing the position of a ridge of a golf club shaft in an automatic and reliable manner and aligning the ridge with a desired orientation.

New background

The shaft of the golf club will bend or twist during the player's swing, especially during the lower stroke. The direction in which the shaft is bent or twisted depends on how the golfer applies or accelerates the club, but the direction and magnitude of the bend or twist depends on the rigidity of the shaft. If the shaft is soft, the bending or distortion during the lower stroke is large. In addition, if the shaft exhibits different lateral stiffness in different planes (ie, rigidity, roundness, and straightness of the shaft and is asymmetrical), the bending or twisting manner of the shaft will also be different. It depends on the plane (direction) of the force.

When the head of a golf club is about to hit a golf ball, the shaft of the club will be in the upper/lower direction of the toe (ie, in the plane perpendicular to the direction of the ball striking), and the front/rear The direction (i.e., in a plane parallel to the direction of the shot) produces significant vibration. According to research, when the club head is about to hit a golf ball, the shaft of the golf club will vibrate up and down along the top/bottom of the toe. This up and down vibration is called "vertical deflection" or "sagging" and its amplitude can reach ±1.5 inches (±3.8 cm). Since the inconsistent bending or twisting caused by the asymmetrical behavior of the shaft at the moment before the impact is not corrected by the golfer's swing, it can be improved as long as the vertical deflection or sagging caused by the moment before the impact can be reduced. Players' shots can be repetitive and are true for golfers of different skill levels. Inconsistent bending or twisting will make it more difficult for the golfer to cause the same number of clubs to bend or twist when they are in the lower shot. Therefore, the same set of clubs can be inconsistent in the shot.

In addition, the golf club will "bounce" forward in the direction of the shot at the moment before the shot. This movement is generally referred to as the "bounce" of the shaft. We can analyze and adjust the direction of the shaft to make the shaft vibrate in a stable rebound direction. This position of the shaft can enhance the ability of a golfer to repeat a hitting point. In other words, the shaft will not "swing" up and down at the moment before hitting the ball, thus improving the repeatability of the shot.

If the shaft is absolutely symmetrical, the club head will not move due to inconsistent bending or twisting. Therefore, the manufacturer of the golf club shaft tries to create a shaft with symmetrical rigidity to reduce the swing. The resulting inconsistencies are curved or distorted. However, limited by the limitations of manufacturing, it is not easy to create an absolutely symmetrical golf club shaft. In particular, we all know that the shaft of a golf club often has an optimal angular orientation or "ridge" due to process or material irregularities or changes. (See, for example, U.S. Patent Nos. 4,958,834 and 5,040,279, the entireties of each of which are incorporated herein by reference. This asymmetry will cause some degree of inconsistent bending or distortion during the swing.

Reasons for the rigidity of the golf club shaft include: asymmetry in the profile (the section of the shaft is not circular, or the wall thickness is not uniform), the shaft is not straight, or the material properties of the shaft are around the shaft section. And change. Since it is generally impossible to create an absolutely symmetrical golf club shaft, our goal is to reduce the inconsistency of different numbers of clubs in the same golf club and to reduce the inconsistency of different clubs in the same brand. Sex, therefore, if possible, it is reasonable to analyze each of a set of golf clubs to understand their asymmetrical bending or twisting behavior, thereby improving the same set of golf balls during manufacturing. The consistency of each club in the pole and the consistency of each set of golf clubs in the same brand.

It is known (for example, as described in Japanese Patent No. 5,040,279), although substantially all of the golf club shafts exhibit some degree of asymmetry, generally each golf ball The rods all exhibit at least a certain orientation. When the person grips the base end (handle end) of the shaft and causes the tip to be displaced, the vibration generated by the shaft along the orientation is substantially planar vibration. In other words, the shaft will remain substantially in a single plane, and the tip of the shaft will vibrate in front and rear generally along a straight line.

It is also believed that the planar vibration plane (POP) of each of a set of golf clubs forms the same angle with the ball striking surface of each of the clubs, as disclosed in Japanese Patent No. 4,958,834. The inconsistency of the club's shaft during bending or twisting during the lower rod will be lower than a set of randomly or randomly made golf clubs. In particular, in order to optimize the function of a set of golf clubs, it is usually necessary to align the best angular orientation of each club shaft with the "heading direction" (ie, substantially perpendicular to the ball striking surface of each club). ).

However, there has not been any convenient automation technology so far for us to determine the optimal angular orientation of a golf club shaft. It would be desirable to provide a technique and apparatus that can determine the optimal angular orientation of a golf club shaft in a fast and reliable manner. Preferably, it is also possible to provide a technique and apparatus for automatically assembling golf clubs using the determination of the optimum angular orientation, and for the shaft of each golf club to be relative to the ball striking surface of each of the clubs. alignment.

New summary

One of the purposes of this creation is to provide a technique and apparatus that can determine the optimal angular orientation of a golf club shaft in a fast and reliable manner.

Another object of the present invention is to provide a technique and apparatus for automatically assembling golf clubs using the determination of the optimal angular orientation (e.g., plane vibration plane) and for making each golf club shaft relatively Aligned on the ball striking surface of each of the clubs.

According to the present invention, there is provided a technique for determining a preferred angular orientation of a golf club shaft that is oriented with one of the longitudinal axes of the golf club shaft; wherein the golf club The shaft has a base end and an end, the former being gripped by a golfer and the latter being attached to a golf club head. According to this technique, the native end of the golf club shaft must be fixed and the end of the golf club shaft vibrated in such a direction that the vibration is not parallel to the longitudinal axis. The vibration must also be analyzed to calculate the optimal angular orientation. The golf club shaft can then be marked to indicate the best angular orientation. In another technique in accordance with the present teaching, the indicia used to indicate the optimal angular orientation on the shaft can be used for automated assembly of the golf club such that the shaft of the golf club forms a predetermined alignment relationship with the club head.

Means for determining the optimal angular orientation and for assembling the golf club are also provided herein.

Simple illustration

BRIEF DESCRIPTION OF THE DRAWINGS The above and other objects and advantages of the present invention will be understood from the following description and the appended claims. The body is simulated as a shaft with a spring; Figure 2 is the relationship between the horizontal and vertical displacement (from the end) and time in the two vibration cycles after the shaft of Figure 1 is vibrated by a force. Figure 3 shows the motion shown in Figure 2 in a phase diagram; Figure 4 shows the motion of the shaft after fourteen vibration cycles in a phase diagram; Figure 5 shows the motion shown in Figure 4 as Figure 6 is a perspective view of the device for determining the optimal orientation of a golf club shaft; Figure 7 is a perspective view of a shaft test assembly in the device shown in Figure 6; Figure 8 is a diagram 6 is a perspective view of a shaft fixing and rotating assembly in the device shown in FIG. 7; FIG. 9 is a perspective view of a measuring assembly in the device shown in FIG. 6 to FIG. 8; FIG. 10 is a device shown in FIG. A perspective view of the first-stage quality and sensor assembly; Figure 11 is similar to Figure 7, in which a golf club shaft Installed in the device; Figure 12 is an elevational view taken along line 12-12 of Figure 11, but the golf club shaft has been flexed for vibration according to the present creation; Figure 13 is shown in Figures 6-10 A perspective view of the device, wherein the device includes an indicator assembly; and FIG. 14 is a flow chart of a preferred embodiment of the technique for positioning the optimal orientation of a golf club shaft; FIG. 15 is based on the present creation. A flow chart for performing one of the load tests, which is part of the technique shown in FIG. 14; FIG. 16 is a flow chart for performing a "flag up" control test according to the present creation, which is one of the techniques shown in FIG. Figure 17 is a flow chart of a plane vibration plane positioning test performed according to the present invention, which is a part of the technique shown in Figure 14; Figure 18 shows the creation of the golf club in a schematic manner. The device; and Figure 19 is a close-up of an assembly station in the device of Figure 18.

Detailed description of the preferred embodiment

If the handle end of a golf club shaft is fixed and the shaft is displaced perpendicular to its longitudinal axis, then if the direction of displacement is in the plane vibration plane of the shaft, the shaft will be The vibration in the plane, if viewed from the end, the end of the shaft vibrates back and forth along a straight line. For convenience, this line is called the x-axis. However, if the plane of the displacement direction is not the plane vibration plane, the vibration at the end of the shaft has a component perpendicular to the x-axis in addition to the x-axis component, which is perpendicular to the x-axis for convenience. It is called the y-axis direction. This movement can be called a "track" movement. The tip of the shaft does not move through a single ellipse or other closed curve, but moves inside an envelope, assuming that the motion does not diminish (actually weakens) and the tip will eventually pass through the envelope. Every point in the line.

By observing the vibration of the tip, we can mathematically calculate the orientation of the plane vibration plane, as explained below. After finding the plane vibration plane, we can assemble a golf club. When assembling, we can adjust the direction of the shaft relative to the golf club head so that the plane vibration plane is aligned with the "bashing direction". That is, it is substantially perpendicular to the ball striking face of the club head. After finding the plane vibration plane of a golf club shaft, we can also adjust the direction of the plane vibration plane relative to the golf club head so that it is not aligned with the hitting direction, but is aligned with another predetermined direction. . For example, there may be a need to align the shaft for a particular golfer in order to correct or trigger a hook or cut.

According to the experimental observation, the golf club shaft must have a greater rigidity in one direction in any plane vibration plane, and the rigidity in the other opposite direction in the plane vibration plane is smaller. The former corresponds to one side of the plane vibration plane of the shaft which is relatively rigid, and may be referred to as the "hard" side or the "front" side of the plane vibration plane; and the direction of the hard side is opposite (180 degrees apart) The side with less rigidity can be referred to as the "soft" side or the "back" side of the plane vibration plane. We can also learn from observation that if the plane vibration plane is perpendicular to the ball striking surface of the club head, the effect is obviously better than that of random or random alignment, but the plane vibration plane is perpendicular to the club shaft. When the head hits the ball surface, if the hard side of the plane vibration plane is directed toward the ball striking face of the club head, the effect is better than when the soft side of the plane vibration plane faces the club head face. The effect. In addition, if each of a set of golf clubs is aligned in a similar manner, the users of the clubs are more likely to achieve more use of each of the clubs. The uniform effect of the club can also be improved.

Further, according to experimental observations, a golf club shaft may have a plurality of plane vibration planes. However, we have found that one of the principal plane vibration planes (PPOP) corresponding to the "ridge" of the golf club shaft can also be called a uniform repetitive plane (PURE). The performance of golf clubs that are aligned with the main plane vibration plane is expected to be maximized.

The optimal direction of the plane plane of vibration (the "hard" side of the ridge of the golf club shaft in terms of the plane of vibration of the main plane) cannot be mathematically determined solely by observing the tip of the shaft. Therefore, in one specific example of the present invention, the person fixes the handle end of a golf club shaft and causes the tip end of the shaft to be displaced perpendicular to its longitudinal axis, and while rotating the shaft (by The handle end is rotated, at least 360°), and its restoring force is measured, that is, the force to move the tip back to its neutral position. The angle at which the maximum restoring force is produced is one of the indicators of the hard side of the shaft. The angle is generally not precisely aligned with the orientation of the plane of vibration of the principal plane, but it can be pointed out which of the two possible orientations of the plane of vibration of the principal plane corresponds to the hard side of the plane of vibration of the principal plane. In addition, if the angle of maximum load is used as the starting angle of the analysis, the plane vibration plane we find is usually the plane of the main plane vibration, not the plane vibration plane of the shaft.

Although we can make the tip of the shaft displacement, and let the shaft vibrate, so as to collect data, and then mathematically accurately derive the plane vibration plane orientation, but if the iterative method is used to derive the orientation, the calculation The method is simpler and will be explained below. If the iterative method is used, the starting position can be arbitrarily selected, but the starting position is preferably the angle at which the restoring force is maximum (which can be obtained according to the above technique), so that the plane vibration plane that we find is the main plane. The possibility of a vibration plane is greatly increased.

Once the optimal angular orientation of the golf club shaft is determined, it may be desirable to make a mark on the shaft to indicate the optimal orientation. The mark may be indicated at a position where the plane of vibration of the plane is located, or may be marked at a predetermined position relative to the plane of vibration of the plane. The mark can be marked with ink or paint, or it can be etched onto the shaft surface using mechanical, electrostatic, or laser marking techniques. After the marking is completed, we can use this mark when assembling a golf club to align the shaft with respect to the head of a golf club, and make the shaft of the golf club substantially perpendicular to the club The ball striking face of the club head, or the other to form the other desired angle.

The shaft can be manually aligned to the club head. For ease of alignment, it is preferred to provide a marking on the club head adjacent to the shaft of the club for alignment with the markings on the shaft to form a suitable "ridge alignment" golf club. In another preferred embodiment, another method is used in which an assembly machine can engage the head of a golf club to a golf club shaft and align the alignment marks with one another during the engagement process. In this specific example, once the optimal angular orientation of the shaft is determined, the head of the golf club can be attached to the shaft immediately, and the shaft is still located in the chuck of the ridge positioning station (at In this case, it is not necessary to mark the visible mark on the outside of the shaft. However, this mark is still useful when the repair work is performed in the future and the club is to be disassembled. In another variant of one of the specific examples, another approach is taken in which we can move the shaft from the spine positioning station to a club assembly station. This variant is more responsive to the speed difference between the ridge positioning step and the club assembly step. Assuming that the speed of the ridge positioning step is greater than the speed of the club assembly step, we can set up more club assembly stations than the ridge positioning station. Assuming that the speed of the club assembly step is greater than the speed of the ridge positioning step, we can set more ridge positioning stations than the club assembly station. Regardless of the condition of the former or the condition of the latter, it is preferred to have a funnel or other intermediate station for receiving the shaft that has been aligned between the ridge positioning station and the club assembly station. In general, we all hope that the less the shaft in the funnel, the better, but if for some reason the club assembly station or downstream of it creates a fault or other bottleneck, the funnel can be used as a container before being filled. For accommodating the shaft from the ridge positioning station.

This creation will be explained below with reference to Figs. 1 to 19 .

If the handle end of a golf club shaft is clamped in a clamp that can fix the shaft horizontally, and the gaze is directed toward the tip end of the shaft, we can establish a model of the rigidity of the shaft, as shown in Figure 1. Show. The shaft 10 in the figure can be regarded as a mass m, two different spring coefficients (k₁With k₂The spring connects the mass to the two different surfaces 11 and 12 in two orthogonal directions. If the shaft 10 is rigidly symmetrical, then k₁With k₂equal. But usually k₁With k₂different. In fact, if we hold the shaft in a variety of different orientations and measure the horizontal and vertical resilience of each time, we will be able to have a different set of k₁With k₂value. The force F in the figure is the force applied to the tip end of the clamped shaft 10 and causes the tip to be displaced (for example, to vibrate).

In general, k₁With k₂The difference is within 5% of each other. Figure 2 shows the normalized horizontal displacement and normalized vertical displacement versus time for the vibrating tip of the shaft 10. A total of two vibration cycles are shown, where the horizontal displacement (x) is represented by the solid line 20 and the vertical displacement (y) is indicated by the dashed line. 21 indicates that the angle of the urging force θ of the initial displacement force is assumed to be 40° from the horizontal. 3 shows the same motion of the tip end of the shaft 10 as a phase diagram 30 in the x and y directions. The figure shows two cycles in total, that is, if the observer looks at the tip along the longitudinal axis of the shaft 10 and With the gaze toward the handle end, the two path cycles shown in Figure 3 are the path taken by the tip. Figure 4 shows the phase diagram 40 after fourteen cycles. After observing and analyzing the motions, the position of the plane vibration plane, that is, the angular orientation of the shaft 10, can be obtained. If the initial displacement force F is applied in the direction, the shaft 10 will generally only follow the direction. The direction vibrates and the tip will generally move back and forth along a straight line.

As shown in Figure 4, the phase map 40 of the tip motion is substantially rectangular after experiencing a sufficient number of cycles. The orientation of the plane vibration plane is the orientation of one of the two orthogonal axes of the rectangle, wherein each axis of a rectangle is defined as "a line located at a center of a pair of sides of the rectangle and parallel to one of the pair of sides "." If it is a true rectangle, we only need to determine the orientation of the side, because according to the above definition, the orientation of the side is exactly the same as the orientation of the axis. However, the phase diagram 40 of the tip end motion of a golf club shaft may not be a true rectangle unless an infinite number of cycles are observed. However, it is not feasible to observe an infinite number of cycles. First, it may be unacceptable by commercial considerations. Secondly, the vibration of the golf club shaft usually weakens before forming a true rectangle. Therefore, we can assume that the straight line passing through the four vertices of the quasi-rectangular shape in the phase diagram is the diagonal of the rectangle, and then calculate the orientation of each of the two axes.

After finding the two axes of the rectangle, we need to determine which is the primary axis (which may correspond to the primary plane vibration plane) and which is the secondary axis (that is, one of the one or more unstable planar vibration planes). If you want to make an accurate judgment, we can measure the vibration frequency on the two axes, as explained below. If we first measure the relationship between the weight of the flexed shaft and the angle, and then select the angle of the maximum load as the direction of vibration of the shaft and vibrate the shaft in this direction, it is determined by this "load test" The main axis can be expected to correspond to the plane of vibration of the main plane. In carrying out the "load test", the tip end (end end) or the handle end (the end end) of the shaft can be clamped, and one end of the un-clamped end is deflected, and the relationship between the load and the angle is measured. In addition, in the subsequent step of positioning the plane vibration plane, either one of the ends can be clamped and the one end of the un-clamped end is deflected. However, it is preferable to clamp the handle end (the present end) in the subsequent step of positioning the plane vibration plane. Therefore, in the load test, it is preferable to clamp the handle end (the present end) as well. It should be noted that a plane vibration plane can be found without carrying out a load test, but the plane vibration plane may not be the principal plane vibration plane.

Figure 5 is a graph 50 of tip vibration versus time, wherein the vibrations measured along the horizontal (x) axis are represented by independent trajectories 51 and the vibrations measured along the vertical (y) axis are represented by independent trajectories 52. We can find the frequency based on these trajectories. For example, we can calculate the number of intersections from zero to positive on the surface. However, there is a bias angle between the horizontal and vertical axes x, y and the plane of vibration of the plane, which angle can be found in the manner described above. If the angle is indicated as θ, we can convert the frequency from the x and y axes to the coordinate system of the golf club shaft, and the x' and y' axes correspond to a stable One of a plane vibration plane and one or more unstable plane vibration planes (described below), where f₁The frequency in the direction of the angle θ with the x-axis (that is, the frequency along the x' axis), f₂The frequency in the direction of the θ angle (that is, θ+90° from the x-axis) (that is, the frequency along the y' axis) is formed with the y-axis:<maths><img file="TWM313008U_D0001.tif" /></maths>

If f₁Greater than f₂The stable plane vibration plane of the golf club shaft is separated from the x-axis by an angle θ. If f₁Less than f₂The stable plane vibration plane of the golf club shaft is separated from the y-axis by an angle θ, that is, θ+90° from the x-axis. If a load test has been carried out and the initial vibration angle is determined by the test, the stable plane vibration plane positioned in this way is expected to be the main plane vibration plane.

Although this mathematical method can accurately determine which of the plane vibration planes previously found is the main plane vibration plane, the calculation amount is greater than the calculation amount required to achieve the target. Therefore, in another preferred embodiment of the present invention (described above, as will be explained in more detail below), the position of the plane of vibration of the principal plane is located in a one-time approximation manner, that is, at least the correct quadrant is found. The method is to find out the direction in which the golf club shaft exhibits the greatest resistance to bending or twisting. This approach has the advantage of quickly identifying the "front" side of the plane of vibration of the main plane (as described above).

The apparatus 60 shown in Figures 6 through 13 is a preferred embodiment of the present invention. While the apparatus 60 can be implemented to perform the precise mathematical calculations described above, in practice, a simpler iterative method (as described below) can achieve acceptable results with less effort. Thus, in a particularly preferred embodiment, device 60 uses this relatively simple technique.

In the preferred embodiment, device 60 includes shaft test assembly 70 and processing unit 61. The processing unit 61 can be any system that can process input data from sensors such as the dynamometer test assembly 70 (eg, the dynamometer 91 and the accelerometers 103, 104) and perform the precise mathematical calculations described above or as described below. A relatively simple iterative calculation. As shown in FIG. 6, the processor 61 is preferably a general purpose computer such as a personal computer, for example, the PENTIUM provided by Intel Corporation of Santa Clara, California.<img file="TWM313008U_D0002.tif" />Based on the Central Processing Unit (CPU) 62, a version of WINDOWS is provided by Microsoft Corporation of Redmond, Washington.<img file="TWM313008U_D0003.tif" />The operating system contains the software described later. However, the processor 61 can also be a hardwired circuit or more than one programmed programmable logic device dedicated to positioning a golf club shaft ridge. In any event, processor 61 preferably also includes memory 63 and a plurality of storage devices 64.

The shaft test assembly 70 preferably includes an elongate base 71 having a length that is at least the length of a golf club shaft. At one end of the base 71 is provided a measuring assembly 72 comprising a flexure assembly 73 and a flexing load sensor 91. At the other end of the base 71 is provided a shaft fixing and turning assembly 75, which includes a rotatable chuck 76 for fixing the shaft of a golf club. The device 60 also includes a tip mass and sensor assembly 77 that is mounted to the end of the golf club shaft during testing of a golf club shaft and that can cooperate with the flexure assembly 73.

As shown in Figure 8, the shaft securing and turning assembly 75 preferably includes a rotatable collet 76, preferably a conventional collet, and preferably substantially uniformly applies a path around a golf club shaft. Inward force is applied to fix the shaft. The collet 76 is preferably mounted to the end of the shaft 80 which is preferably rotatable within the bearing 81. The bearing 81 is preferably mounted to the support member 82 such that the axis of rotation of the shaft 80 and the collet 76 and the axis of rotation of the shaft of the golf club under test are both at a predetermined height above the base 71. Preferably, the shaft 80 is remote from one end of the collet 76 and is coupled to a voltage divider 84 by a universal joint 83 which is used as an angular position sensor as will be described below. The universal joint 83 prevents damage to the voltage divider 84 from any slight misalignment between the shaft 80 and the voltage divider 84. Similarly, a movable nut 85 is preferably provided on the shaft 80 as a rotational stop member to limit rotation of the shaft 80 and to prevent damage caused by excessive rotation of the voltage divider 84. A motor 86 can be provided as needed to rotate the collet 76, but can also be rotated manually. In addition, a pliers 87 is preferably provided to minimize vibrations when the collet 76 is rotated. The pliers 87 preferably provide a frictional engagement to the collet 76 with an engagement force that permits rotation of the collet 76. A screw 88 can be provided to adjust the jaws of the jaw 87.

As shown in FIG. 9, the measuring assembly 72 includes a bottom plate 90 mounted to the base 71. A load cell 91 is mounted on the base plate 90, such as the LCAE-2KG type load cell provided by Omega Engineering, Inc. of Stamford, Connecticut. A shaft tip restricting arm 92 is attached to the dynamometer 91 on the opposite side of the bottom plate 90, and its use will be described later. Preferably, the metrology assembly 72 also includes a flexure arm 93 pivotally coupled to the base plate 90. Preferably, the flexure arm 93 is mounted in a manner such that at least one side 930 thereof is substantially perpendicular to the bottom plate 90 and the flexure arm is pivotable about a shaft 94 substantially parallel to the bottom plate 90.

The flexure arm 93 preferably has a projection 931 that preferably extends from the side 930 of the flexure arm. Preferably, the projection 931 has a surface 932 facing away from the shaft 94. The angular relationship between the projection 931 and the side surface 930 is substantially the same as the angular relationship between the side surfaces 100 and 101 of the tip end mass sensor assembly 77. The reason for this will be described later.

As shown in Figure 10, the tip mass and sensor assembly 77 preferably has a body 102 having a mass between about 190 grams and 220 grams, preferably about 200 grams, to simulate the end of a golf club shaft. The quality of the golf club head. In another embodiment, different tip qualities can be provided to more accurately simulate different types of club heads of different qualities. However, the cost of this specific example is higher because each of the different qualities requires the use of a dedicated signal electrical transducer for collecting displacement data, and different calculations are also required based on such data.

In the test of this creation, we need to make a golf club shaft flex and let it vibrate (as explained below). In the process, the body 102 needs to be placed at the end of the shaft. It not only simulates the effect of a club head on the swing, but also provides "reaction quality" so that the vibration of the shaft is weakened before we have collected enough information. Preferably, the signal electrical transducer for collecting displacement data is two accelerometers 103 and 104 each aligned to a different axis, such as Kistler Instrument, Amherst, NY. COrp.) The 8303A accelerometer is available. The two axes are preferably orthogonal to each other, but are not necessary. As long as the angular relationship between the two axes is known, the motion recorded by the accelerometers 103 and 104 can be decomposed into two orthogonal components by calculation. Preferably, the two axes are parallel and perpendicular to the base 71, respectively, but are not necessary.

The tip mass and sensor assembly 77 preferably has an attachment structure for attachment to the tip end of a golf club shaft. Preferably, the attachment structure includes a hole 105 in the body 102 having a diameter slightly larger than a diameter of a general golf club shaft for a shaft to pass through; and a fixing screw 106 for fixing the body 102 to the rod body. Another approach is to provide some kind of quick release pliers that is particularly suitable for use in an automated system as described below.

As before, the relationship between the orientation of the sides 100 and 101 of the tip mass and sensor assembly 77 is preferably the same as the relationship between the orientation of the surfaces of the flexure arm 93 and its surfaces 930 and 932. In this way, at each test, we only need to place the sides 100 and 101 against the surfaces 930 and 932, and the tip quality and sensor assembly 77 can be repeatedly aligned in the same manner.

To test a golf club shaft, the shaft 110 must first be mounted to the collet 76, as shown in FIG. Then, the tip end (end) of the shaft 110 is flexed and restrained below the lip 120 of the shaft tip limiting arm 92, as shown by the broken line in FIG. 11, to measure the force measuring device 91. The resilience of the shaft 110 is straightened. The chuck 76 can then be rotated (either manually or by the motor 86, preferably under the control of the processor 61), and the relationship between the restoring force and the angle is recorded by the computer 61, wherein the angle is accepted Determined by a voltage divider 84 of known voltage. The changing resistance can be converted to an ever-changing voltage and converted to an angle by well-known voltage divider technology.

Or some people think that when the upward restoring force reaches the maximum value, the maximum asymmetry point of the shaft representing the hard side of the vibration plane of the main plane faces upward. However, we learned from experiments that this is not the case; only when we measure the maximum force, the hard side is indeed in the upward quadrant. Therefore, in the static part of the test, we have to record the angle at which the maximum force occurs and then the other part of the test, that is, the power section.

In the power section of this test, the tip quality and sensor assembly 77 is placed in position and the tip (end) of the golf club shaft 110 is vibrated. In the static part of the test, it is best to cause the tip to produce vertical deflection; however, in the dynamic part of the test it is best to have horizontal deflection, although in any part of the test. The deflection can be used in either direction. The reason for the horizontal deflection in the dynamic part of the test is to reduce the influence of the gravity of the tip quality on the result, and to facilitate the vibration of the shaft so that it does not hit the base 71. Therefore, before the power portion of the test has been started, it is preferable to rotate the collet 76 by about 90° to shift the estimated ridge orientation (the orientation of the main plane vibration plane) from the original vertical direction to the horizontal direction.

In the above apparatus, how is the tip quality and sensor assembly 77 mounted to one and a horizontal impulse applied to a golf club shaft 110? The following will be explained. First, the front end (handle end) 111 of the golf club shaft 110 is fixed to the collet 76, and the flexure arm 93 is erected, and the hole 105 of the body of the tip mass and sensor assembly 77 is placed. The golf club shaft 110 is above its end (tip) 112. The tip mass and sensor assembly 77 is then operated until the surfaces 100 and 101 of the body 102 are seated securely on the surfaces 930 and 932 of the flexure arm 93 and the accelerometers 103 and 104 are in their desired predetermined orientation. (The portion of surface 100 that is not occupied by accelerometer 103 can be used for this purpose, and therefore, accelerometer 103 does not interfere with the action of body 102 in place). The accelerometers 103 and 104 in the figure are connected to the processor 61 by wires 62, but may be connected wirelessly (not shown).

As for how to make the cutting-edge quality cum sensor assembly 77 have a best roughly horizontal impulse? This is accomplished by flexing the tip 112 of the golf club shaft 110 to the side 120 of the flexure arm 93 opposite the side 930, as shown in Figure 12, and then preferably pivoting the flexure arm 93 abruptly. Deviating from its upright position to cause a level of force on the restoring force of the flexed golf club shaft 110 such that the tip 112 of the golf club shaft 110 begins to vibrate with the tip mass and sensor assembly 77, vibrating The method is as shown in FIG. 2 to FIG. 5 .

While the initial flexing of the golf club shaft 110 behind the flexure arm 93 and the pivoting of the flexure arm 93 can be accomplished manually, it can also be accomplished in an automated manner. Therefore, in order to move the tip end 112 of the golf club shaft 110 from the neutral position 1200 to the rear of the flexure arm 93, we may also use an arm 121 provided with a finger 122 which is suitably driven by a motor 123. Driven by a transmission or link 124 that provides the desired horizontal and vertical motion components. In this practice, the finger 122 can either cause the tip 110 to produce vertical and horizontal motion, or the finger 122 can only move horizontally, and the motor 125 can pivot the flexure arm 93 to temporarily deviate, and then It is restored to an upright position. Similarly, we can replace the manpower with the motor 125 to pivot the flexure arm 93 to induce vibration.

Alternatively, it is not necessary to deflect the shaft 110 to the flexure arm 93 after applying a force to release the arm 93. We can use a horizontal striker or ram (not shown) to quickly move in a short time. Impact tip quality and sensor assembly 77.

Accelerometers 103 and 104 can respectively record accelerations in one of their directions, which are preferably orthogonal to one another, and preferably horizontal and vertical, respectively. However, any two known directions can also be used, and the horizontal and vertical components can be calculated in a computational manner. It is best to integrate the acceleration over time to obtain horizontal and vertical displacement. Another method is to directly measure the displacement. For example, the accelerometers 103 and 104 can be replaced by a light source (for example, a laser device or a light-emitting diode, not shown), which is set at the tip quality and sensing. At the end of the assembly 77, the light source can illuminate along the longitudinal axis of the golf club shaft 110. A photodetector array (also not shown) is provided to be substantially perpendicular to the beam of light emitted by the source, which beam can depict the displacement of the tip 112 on the detector array, thereby recording the displacement directly. Regardless of the manner in which the data is collected, the resulting data can be plotted as a function of time and used to derive displacement and frequency data. We can use these displacement and frequency data to mathematically determine the best angular orientation of the plane vibration plane, as described above. We can regard the direction of the plane vibration plane closer to the "predicted orientation determined by the force measuring device 91" as the "hard" side of the main plane vibration plane or ridge of the golf club shaft 110, the "hard" side Preferably, it should be aligned vertically and aligned toward the ball striking face of the club head or in any other predetermined orientation relative to the ball striking face. However, the dynamometer test can also be omitted because, when aligning the golf club shaft 110, the plane vibration plane can be brought to a desired orientation relative to the club head hitting surface, regardless of the plane vibration plane. The hard side is facing or facing away from the ball striking face, the effect is better than the plane vibrating plane is in a random orientation relative to the club face of the club head; as long as any plane vibration plane can be compared with The club head is aligned with the ball striking face, and even if the plane vibration plane is not the main plane vibration plane, the effect is better than adopting any random orientation. However, it should be borne in mind that if we have found a random plane vibration plane for the shaft of each of a set of golf clubs, it is not the plane of the main plane vibration, even if the plane vibration plane of each shaft is made They all form a similar angle with their corresponding club heads, and we still cannot assume that the entire set of clubs have a consistent orientation.

Once the ridge is positioned, it is preferred to indicate the shaft 110 to indicate the orientation of the ridge (or at least the plane of vibration). A pigment such as a paint or ink may be applied to the surface of the shaft 110 when marked. For example, an ink marker 130 can be mounted to a frame 132, as shown in FIG. 13, having an indicator end 131. The shaft 110 can be rotated after determining the optimal orientation so that the optimal orientation is aligned with the indexing end 131 so that the marking end 131 applies a marking to the shaft 110. Or 130 may represent a paint reservoir and 131 represents a paint brush. Another method of indicating the shaft 110 is to etch a mark on the surface of the shaft 110 using a directed energy beam or particle beam. In this alternative, 130 may represent a high energy laser device, 131 represents a laser beam; or 130 represents an electron gun, and 131 represents an electron beam. Optionally, the shaft 110 or the indicator assembly can be moved parallel to the longitudinal axis of the shaft so that the body is marked in a line rather than a dot shape to increase its visibility.

14 through 17 illustrate the preferred technique 140 for locating the optimal orientation (i.e., any plane vibration plane, or principal plane vibration plane, or "ridge") by the authoring device 60. The technique 140 is preferably the load test 141 described above. The test can estimate the orientation of the plane of vibration of the principal plane by the load cell 91, and at least recognize the two sides of the plane of vibration of the principal plane as the plane of the plane vibration plane. Hard side. The load test 141 can also be omitted, but it should be noted that the plane vibration plane found may be any plane vibration plane rather than the main plane vibration plane. If the load test 141 has been performed, the result can be used as a starting point for the plane vibration plane positioning step 143, as will be described below. The load test 141 can also be implemented separately to measure the symmetry of the shaft.

After the load test 141 is completed, a "flag up" test 142 can be performed as needed. When the traditional golf club is assembled, the manufacturer's logo printed on the shaft is basically directed toward the ball striking face of the club head, which is the "mark up" structure (some manufacturers make the sign off the club pole) The head hits the spherical surface 180° to form a "mark down" structure, or other configuration). Since the logo is printed at a random location around the shaft, the alignment of the "mark up" is purely random. The mark up test 142 is only for collecting vibration data of a golf club shaft in a factory mounted orientation.

As before, the next step is the plane vibration plane positioning step 143. After completion of step 143, a selective report printing step 144 is performed; after finding the optimal orientation of a golf club shaft, part or all of various related parameters may be printed in this step. . Finally, the different data from steps 141 through 144 can be stored (e.g., stored in a plurality of storage devices 64) in the optional storage step 145.

Figure 15 is a detailed view of the load test 141. Step 150 is to place a golf club shaft 110 (which may have been removed from a golf club) into the collet 76 at an arbitrary starting angle. The tip end 112 of the golf club shaft 110 is then flexed and restrained below the shaft tip restraining arm 92 to facilitate the force measuring device 91 to measure the restoring force of the shaft 110 after flexing. The flexing and fixing of the shaft can be carried out manually or automatically. Therefore, in order to move the tip end 112 of the golf club shaft 110 from the neutral position 1200 to the position 1201 below the shaft tip restraining arm 92, we may also use an arm 126 provided with a finger 127, which is a motor 128 is driven via a suitable transmission or linkage 129 that provides the desired horizontal and vertical motion components.

When the tip 112 has been positioned below the shaft tip limiting arm 92, step 151 is entered. This step preferably rotates the collet 76 about 200 in a certain direction (which may be referred to as a rotational negative direction). Then in step 152 the collet 76 is rotated at least 360° in the opposite direction (which may be referred to as the rotational forward direction), while at the same time, the person can read the data from the load cell 91 and record it as a function of angle. Preferably, in step 152, the collet 76 is rotated about 400°, with 40° (preferably the initial and last 20°) being discarded. However, another method may omit the reversal of step 151, as long as at least 360° of data can be continuously recorded; if the data of 360° or more is to be continuously recorded, the rotation amplitude may be any angle greater than 360°, and may be discarded. Any part of the data may be provided as 360°, and the discarded portion may be all of the starting part, all of the final part, or any combination of the initial part and the final part.

Step 153 is to check the data obtained in step 152 and find the angle A corresponding to the maximum load measured by the force measuring device 91. If necessary, the relationship between load and angle can be plotted for inspection. Step 154 sets the starting angle S for the plane vibration plane positioning test 143 to A-90. This step is to take into account the change from the vertical to the horizontal direction between the load test 141 and the plane vibration plane positioning test 143, as described above.

After the load test 141 is completed, the "flag up" test 142 can be performed, and FIG. 16 is a detailed view thereof. The main purpose of the "Mark Up" test is to provide a "pre-existing" comparison of the "post-event" results obtained after the completion of the Planar Vibration Plane Positioning Test 143. Therefore, as mentioned above, the "flag up" test 142 is not necessary. In particular, the "Mark Up" test 142 can be used primarily as a promotional tool for golf clubs during after-sales maintenance (ie, when re-installed) to show that they have been realigned to a golf club shaft according to the creation. Improvement; however, for golf club manufacturers who manufacture "ridge-aligned" golf clubs, the "flag up" test 142 may not be applicable since no comparison data is required at all.

In the initial step 160 of the "Mark Up" test 142, a golf club shaft 110 (which may also have been removed from a golf club) is placed in the collet 76. If the shaft 110 is originally a part of a complete golf club, the orientation of the shaft 110 in the collet 76 should be a golfer 110 when the golf club is close to a ball before starting the swing, the shaft 110 The orientation in the golf club. In most cases, when the shaft is in this orientation, the manufacturer's logo is up, but sometimes the sign is facing down, or in any random direction. If the golf club shaft tested in Test 142 is not part of any golf club, it is best to have the logo facing up when testing. The tip mass and sensor assembly 77 can then be mounted to the tip end 112 of the shaft 110.

In the subsequent step 161, a momentum must be applied to the tip mass and sensor assembly 77 in one of the foregoing manners, and the acceleration in the orthogonal direction (preferably horizontal and vertical) is collected, preferably in a time interval. Four seconds. Preferably, the data can be integrated in step 162 to determine the relationship between the orthogonal direction (preferably horizontal and vertical) displacement and time, and the relationships can preferably be stored in step 163 to The result of the alignment of the shaft 110 after the ridge alignment is completed, and such information is preferably also mapped in step 163 for viewing by the owner of the golf club formed by the shaft 110. Preferably, in step 163, the maximum out-of-plane displacement (preferably the maximum vertical displacement) is also stored for viewing by the owner. Test 142 was completed here.

The next step in the system is the plane vibration plane positioning test 143. As shown in Figure 17, the initial step 170 of test 143 resets a counter J to zero. Subsequent step 171 rotates the collet 76, still holding the shaft 110, to the previously calculated starting angle S. If there is no calculation of the starting angle S, the test 143 can take any angle as the starting angle.

In step 172, if the tip quality and sensor assembly 77 is not attached to the tip 112, it may be attached at this time, but in any case, a force must be applied to the tip quality sensor in one of the foregoing manners. Assembly 77, and collect the acceleration in the orthogonal direction (preferably horizontal and vertical), preferably about four seconds. Preferably, the data can be integrated in step 173 to determine the relationship between the orthogonal direction (preferably horizontal and vertical) displacement and time. Step 174 adds 1 to the counter J. In test step 175, the system will test if J=1 is true. If J=1 (the first time this step is taken, this is also the case here), the system will jump directly to step 177.

In step 177, the system will cause a variable YMAX(J) to be equal to the maximum out-of-plane offset obtained in step 173. The system will proceed to test step 178 to test if J=1 is established, that is, whether it is the first time through the loop. The number of passes through the loop is preferably at least three. If J=1 is established in test step 178, then step 179 will increase the angle S by 10°. In step 1700, to make S between +180° and -180°, if S&gt;180°, let S=S-360°. The frequency of the horizontal and vertical vibrations is then calculated in step 1701 (the displacement obtained in step 173 is determined from the time relationship). Frequency data can often be used to measure the rigidity of a golf club shaft. This information can be used for comparison.

After completing step 1701, the system will return to step 172 and perform steps 172 through 174 again. This time, due to J1 in test step 175, step 176 will store the data and angle S of step 173, and the system will proceed to step 177. In step 177, the variable YMAX(J) is also equal to the maximum out-of-plane offset obtained in step 173. This time, due to J1 in test step 178, the system will proceed to test step 1702 to test if J=2 is true. This is the second pass, so J=2, the system will go to test step 1703 to test if YMAX(J)&gt;YMAX(J-1) is true. If not, it means that the out-of-plane offset during the iteration is small, that is, the angle S is closer to the optimal orientation (that is, closer to the plane vibration plane). Therefore, step 1704 will make the variable SIGN=+1, and let the variable Y =YMAX(J), and the variable AMP=1.0, and the system proceeds to step 1706. In test step 1703, if YMAX(J)&gt;YMAX(J-1) is established, it represents that the out-of-plane offset during the iteration is large, that is, the angle S is farther from the plane vibration plane, therefore, step 1705 will The variable SIGN=-1, let the variable S(J)=S(J-1), let the variable Y=YMAX(J) and let the variable YMAx(J)=YMAX(J-1), and let the variable AMP=1.0, The system will proceed to step 1706. Please note that whether in step 1704 or step 1705, AMP can be equal to a larger value in order to generate convergence earlier, but the accuracy will decrease; if AMP is equal to a smaller value, the accuracy will increase, but convergence The number of previous iterations will also increase. We need to strike a balance between speed and accuracy.

In step 1706, the system will calculate the variable POP=SIGN(45-(90/π)cos^－¹(Y/AMP)), and in step 1707 it will be S=S+POP. In step 1708, to make S between +180° and -180°, if S&gt;180°, let S=S-360°. Similarly, in step 1709, to make S between +180° and -180°, if S&lt;-180°, let S=S+360°. The system will then return to step 1701 to calculate the frequency and return to step 172 again. This is the third pass, so in test step 178, J1, in test step 1702, J2, the system will proceed to test step 1710 to determine if YMAX(J)&gt;YMAX(J-1) is true. If so, the value has begun to converge and the system will proceed to test step 1711 to determine if the out-of-plane offset (YMAX(J-1)) at the last iteration is less than the maximum out-of-plane offset in the "flag up" test 142. the amount. If so, the current orientation is the best orientation, so step 1712 will make the variable representing the best orientation POP = S, S representing the current orientation. In step 1713, the shaft frequency will be calculated again (same step 1701), and trial 143 will end at step 1714.

In test step 1711, if the out-of-plane offset (YMAX(J-1)) at the last iteration is not less than the maximum out-of-plane offset in the "flag up" test 142, then step 1715 will represent the best orientation. The variable POP is equal to the "flag up" angle. The shaft frequency will be calculated again in step 1713 (same step 1701), and test 143 will also end at step 1714.

In test step 1710, if YMAX(J) &gt; YMAX(J-1) does not hold, the value does not begin to converge, so in step 1716, let Y = YMAX(J). The system will recalculate the POP at step 1706 and pass through the loop at least once from there.

If the selective "flag up" test 142 is not performed and test step 1710 indicates that convergence has begun, then the system will not perform test step 1711 and proceed directly from test step 1710 to step 1712.

After completion of the plane vibration plane positioning test 143, the system will proceed to a report printing step 144 where it is preferred to print (and optionally determine) the values of the following data: the relationship between the load and the angle, which can be determined from the load test 141 Load symmetry index (LSI), which is a measure of the degree of rigidity of the shaft, LSI = 100 (1-((P_m_a_x- P_m_i_n)/P_m_a_x)), where P_m_a_xWith P_m_i_nMaximum and minimum load, respectively, can be measured from step 152; displacement map with "mark up" angle; displacement map with POP angle; "mark up" angle, and "hard", "soft" The displacement map of the POP angle (the latter two angles should be exactly 180° difference); the horizontal and vertical frequencies and the maximum out-of-plane offset when using the "flag up" angle and the POP angle; and a frequency index, which is equal to " The ratio of the horizontal frequency when using the POP angle to the horizontal frequency when using the "mark up" angle is the structure of the golf club in the direction of the ball in the original "mark up" and the ridge pair. The comparison between the quasi-structures is in the form of a modified percentage.

In the next step 145, the storage of the data will be carried out. For complete storage, all data will be stored. It is preferable to have a "quick storage" function for storing all the information printed in step 144, except for the complete load-to-angle data and the complete displacement data when using the "mark up" angle and the POP angle. After step 145 is completed, technique 140 will also end at step 146.

The technology and apparatus according to the present invention can be used as part of a larger technology or device for assembling golf clubs to create a "ridge aligned" golf club. Thus, when we have indicated a reference mark to a predetermined position of a golf club shaft 110 relative to the ridge, the best orientation, or the plane vibration plane (whether or not the marker indicates the "hard" side), Sending the shaft to a golf club assembly station that recognizes the indicia and assembles a golf club with the indicia such that the ridge or planar vibration plane is preferably substantially perpendicular to the ball striking surface of the golf club . The number of plane vibration plane positioning devices or assembly stations can be appropriately increased or decreased according to the relative speed of the plane vibration plane positioning device 60 and the golf club assembly station. Thus, a single golf club assembly station can accept the feed of a plurality of planar vibration plane positioning devices 60. A funnel may be provided at the golf club assembly station as a cushioning device, and the buffer may be unacceptable once the speed of the assembly station is slowed down or stopped, or when the assembly station is unable to accept the shaft when the new golf club shaft 110 arrives. The device will work.

Preferably, the golf club assembly station is provided with a scanner for identifying indicia on the golf club shaft 110 for indicating the location of the planar vibration. After the identification of the mark is completed, the shaft 110 can be rotated to make the mark a predetermined position, so that the golf club head of the type is attached to the shaft 110, and the golf club head is assembled with the shaft 110. The time is fixed at a predetermined orientation.

Another approach is to provide an alignment mark for each golf club head that must be aligned with the indicia on the golf club shaft 110. A scanner can scan the shaft 110 and the indicia on the golf club head and continue to rotate the shaft 110 until the two indicia are aligned. In this way, the golf club head fixing mechanism does not need to "know" the specific orientation required to fix each type of club head when fixing different types of golf club heads to align the marked shafts. We can fix each golf club head in the same orientation. When the shaft 110 is close to it for assembly, the shaft 110 is rotated until the marking on the shaft 110 is aligned with the marking of the golf club head. The shaft 110 is then joined to the golf club head.

Figures 18 and 19 show the apparatus 180 for creating a golf club. The device 180 includes: at least one device 60 (one of which is shown); a conveyor 181 for removing the completed shaft 110 from the device 60 and placed in a funnel 182; a feeding mechanism 183 for Each of the shafts 110 in the funnel 182 is fed to the assembly station 184; and the assembly station 184 itself.

In the assembly station 184, a feeder 183 (which includes an arm 185 coupled to a motor (not shown)) can send the shaft 110 to the collet 190 (similar to the collet 76), which will The home end of the shaft 110 is fixed in a rotatable manner. The gripper 191 can fix a golf club head 192, which may or may not have an alignment mark 193; if there is no alignment mark 193, the golf club head 192 is fixed by the gripper 191 to a Knowing the position, this position can vary depending on the type of golf club head. A scanner 194 can scan the indicia 195 on the shaft 110 as the collet 190 rotates. When the scanner 194 recognizes the indicia 195, the processor 61 will command the collet 190 to align the indicia 195 with the alignment indicia 193 positioned by the scanner 196, or to align the indicia 195 with the golf club head 192. a predetermined orientation. The collet 190 and/or the gripper 191 can then be moved closer to each other and the shaft 110 can be joined in other conventional manners than may be used (any adhesive, ferrule, etc. may be used as desired). On the golf club head 192.

There has been provided a technique and apparatus for determining the optimal angular orientation of a golf club shaft in a fast and reliable manner and utilizing the determination of the optimal angular orientation for automatic assembly of the golf club for each golf The club shafts can be aligned relative to the ball striking face of each of the clubs. It will be apparent to those skilled in the art that the present invention may be practiced otherwise than the specific examples described above. The specific examples described above are for illustrative purposes and are not limiting. This creation is limited only by the scope of the following patent application.

<p>F. . . force</p><p>k₁. . . Spring coefficient</p><p>k₂. . . Spring coefficient</p><p>M. . . quality</p><p>θ. . . Shili</p><p>10. . . Shaft</p><p>11. . . surface</p><p>12. . . surface</p><p>20. . . Horizontal displacement curve</p><p>twenty one. . . Vertical displacement curve</p><p>30. . . Phase diagram</p><p>40. . . Phase diagram</p><p>50. . . Tip vibration versus time</p><p>51. . . Horizontal displacement curve</p><p>52. . . Vertical displacement curve</p><p>60. . . Device</p><p>61. . . Processing unit</p><p>62. . . Central processing unit</p><p>63. . . Memory</p><p>64. . . Mass storage device</p><p>70. . . Shaft test assembly</p><p>71. . . Long base</p><p>72. . . Measuring assembly</p><p>73. . . Flexer assembly</p><p>74. . . Flexing load sensor</p><p>75. . . Shaft fixing and turning assembly</p><p>76. . . Rotating chuck</p><p>77. . . Cutting-edge quality and sensor assembly</p><p>80. . . axis</p><p>81. . . Bearing</p><p>82. . . supporting item</p><p>83. . . Universal joint</p><p>84. . . Voltage divider</p><p>85. . . Mobile nut</p><p>86. . . motor</p><p>87. . . clamp</p><p>88. . . Screw</p><p>90. . . Bottom plate</p><p>91. . . Force measurer</p><p>92. . . Shaft tip restraint arm</p><p>93. . . Flexer arm</p><p>94. . . axis</p><p>100. . . Side of the cutting-edge quality and sensor assembly</p><p>101. . . Side of the cutting-edge quality and sensor assembly</p><p>102. . . Ontology</p><p>103. . . Accelerometer</p><p>104. . . Accelerometer</p><p>105. . . hole</p><p>106. . . Fixing screw</p><p>110. . . Shaft</p><p>112. . . Cutting edge</p><p>120. . . lip</p><p>121. . . arm</p><p>122. . . Means</p><p>123. . . motor</p><p>124. . . link</p><p>125. . . motor</p><p>126. . . arm</p><p>127. . . Means</p><p>128. . . motor</p><p>129. . . link</p><p>130. . . Ink marker</p><p>131. . . Marker end</p><p>132. . . frame</p><p>140. . . technology</p><p>141. . . Load test</p><p>142. . . Mark up test</p><p>143. . . Plane vibration plane positioning step</p><p>144. . . Report printing step</p><p>145. . . Steps to save data</p><p>146. . . End step</p><p>150. . . Steps to place the golf club shaft in the collet and limit the tip to the lower end of the shaft</p><p>151. . . Step of rotating the chuck 200° in the negative direction</p><p>152. . . Steps to rotate the chuck at least 360° in the forward direction and read the data from the dynamometer</p><p>153. . . Step of determining the angle A at the maximum load</p><p>154. . . Steps to set the starting angle S=A-90°</p><p>160. . . Steps to place the golf club shaft in the collet with the sign up and install the tip quality and sensor assembly</p><p>161. . . Steps to apply momentum to the tip quality and collect acceleration data</p><p>162. . . The step of integrating the acceleration data to determine the displacement</p><p>163. . . Store displacement data, including maximum out-of-plane displacement steps</p><p>170. . . First step</p><p>171. . . Steps to turn the collet to the corner S</p><p>172. . . If necessary, install the tip quality and sensor assembly, apply momentum, and collect acceleration data.</p><p>173. . . The step of integrating the acceleration data to obtain the displacement data</p><p>174. . . Step of adding counter J to 1</p><p>175. . . Test procedure</p><p>176. . . Steps to store data</p><p>177. . . The step of making a variable YMAX(J) equal to the maximum out-of-plane offset obtained in step 173</p><p>178. . . Test procedure</p><p>179. . . Step 10 of increasing angle S</p><p>180. . . Device for assembling golf clubs</p><p>181. . . Conveyor</p><p>182. . . funnel</p><p>183. . . Feeding mechanism</p><p>184. . . Assembly station</p><p>185. . . arm</p><p>190. . . Chuck</p><p>191. . . Gripper</p><p>192. . . Golf club head</p><p>193. . . Alignment mark</p><p>194. . . scanner</p><p>195. . . mark</p><p>196. . . scanner</p><p>930. . . Side of the flexure arm</p><p>931. . . Protrusion</p><p>932. . . Protruding surface</p><p>1200. . . Neutral position</p><p>1201. . . The tip of the shaft limits the position below the arm</p><p>1700. . . Steps to make S between +180° and -180°</p><p>1701. . . Steps to calculate frequency</p><p>1702. . . Test procedure</p><p>1703. . . Test procedure</p><p>1704. . . Steps to make the variable SIGN=+1, variable Y=YMAX(J), variable AMP=1.0</p><p>1705. . . Steps for making variables SIGN=-1, S(J)=S(J-1), YMAX(J)=YMAX(J-1), Y=YMAX(J), AMP=1.0</p><p>1706. . . Calculate the variable POP=SIGN(45-(90/π)ACOS(Y/AMP))</p><p>1707. . . Steps to make S=S+POP</p><p>1708. . . Steps to make S between +180° and -180°</p><p>1709. . . Steps to make S between +180° and -180°</p><p>1710. . . Test procedure</p><p>1711. . . Test procedure</p><p>1712. . . Steps to make the variable POP=S</p><p>1713. . . Steps to calculate frequency</p><p>1714. . . End step</p><p>1715. . . Steps to make the POP=flag up to the corner</p><p>1716. . . Steps to make Y=YMAX(J)</p>

Figure 1 shows a flexible golf club shaft as a spring-attached shaft; Figure 2 shows the shaft in Figure 1 after it is vibrated by a force, horizontal and vertical in the two vibration cycles. Displacement (from the end as a function of time); Figure 3 shows the motion shown in Figure 2 in a phase diagram; Figure 4 shows the movement of the shaft after fourteen vibration cycles in a phase diagram; Figure 5 Figure 4 is a perspective view of the device for determining the optimal orientation of a golf club shaft; FIG. 8 is a perspective view of a shaft fixing and rotating assembly in the apparatus shown in FIG. 6 and FIG. 7; FIG. 9 is a perspective view of a measuring assembly in the apparatus shown in FIG. 6 to FIG. 10 is a perspective view of a tip quality and sensor assembly in the device shown in FIG. 6 to FIG. 9; FIG. 11 is similar to FIG. 7 in which a golf club shaft has been installed in the device; FIG. The elevation of the 12-12 section of the 11th, but the golf club shaft has been flexed for vibration according to the creation; Figure 13 is Figure 6. 10 is a perspective view of the apparatus shown in FIG. 10, wherein the apparatus includes a marking assembly; and FIG. 14 is a flow chart of a preferred embodiment of the technique for positioning the optimal orientation of a golf club shaft; FIG. A flow chart of a load test performed according to the present creation, which is part of the technique shown in FIG. 14; FIG. 16 is a flow chart of a "flag up" control test performed according to the present creation, which is shown in FIG. Part of the technique; Figure 17 is a flow chart of a plane vibration plane positioning test performed according to the present invention, which is part of the technique shown in Figure 14; Figure 18 shows the creation of the creation in a schematic manner for assembly. The golf club device; and Figure 19 is a close-up of an assembly station in the device of Figure 18.