RACKET
20250367510 ยท 2025-12-04
Assignee
Inventors
Cpc classification
International classification
Abstract
A racket 2 includes a frame 4, a grip 6, a grommet 10, and a string 12. In the racket 2, an in-plane stiffness index Gi, which is a ratio of a top pressure stiffness value Git (kgf/cm) to a side pressure stiffness value Gis (kgf/cm), is 1.40 or greater; an out-of-plane stiffness index Go, which is a product of a throat stiffness value Gos (kgf/cm) and a ball-hitting face stiffness value Goh (kgf/cm), is from 60000 to 85000; a moment of inertia Mi about an axis of the racket 2 is from 13500 g.Math.cm.sup.2 to 15000 g.Math.cm.sup.2; and an index of inertia Ii is 0.150 or greater, which is calculated by the following mathematical formula: Ii=Mi/(Wr.Math.Lc) (where Wr is a mass (g) of the racket, and Lc is a distance (mm) from a grip end to a center of gravity of the racket).
Claims
1. A racket, wherein: an in-plane stiffness index Gi, which is a ratio of a top pressure stiffness value Git (kgf/cm) to a side pressure stiffness value Gis (kgf/cm), is greater than or equal to 1.40; an out-of-plane stiffness index Go, which is a product of a throat stiffness value Gos (kgf/cm) and a ball-hitting face stiffness value Goh (kgf/cm), is greater than or equal to 60000 and less than or equal to 85000; a moment of inertia Mi about an axis of the racket is greater than or equal to 13500 g.Math.cm.sup.2 and less than or equal to 15000 g.Math.cm.sup.2; and an index of inertia Ii is greater than or equal to 0.150, which is calculated by the following mathematical formula:
2. The racket according to claim 1, wherein the mass Wr is greater than or equal to 285 g and less than or equal to 305 g.
3. The racket according to claim 1, comprising a frame, wherein: a material of the frame is a fiber reinforced resin including a plurality of reinforcement fibers; and a ratio of the reinforcement fibers with an inclination angle having an absolute value of greater than or equal to 40 and less than or equal to 50 to all of the plurality of reinforcement fibers included in the frame is greater than or equal to 8% by mass and less than or equal to 30% by mass.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0006]
[0007]
[0008]
[0009]
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[0011]
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[0014]
[0015]
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[0018]
DETAILED DESCRIPTION
[0019] Hereinafter, preferred embodiments are described in detail with reference to the drawings as necessary.
[Elements of Tennis Racket]
[0020]
[0021] The frame 4 includes a head 14, a first throat 16a, a second throat 16b, and a shaft 18. The head 14 forms the contour of a face 20 (the face 20 will be described below in detail). The front view shape of the head 14 is substantially an ellipse. The major axis direction of the ellipse coincides with the axial direction Y of the racket 2. The minor axis direction of the ellipse coincides with the width direction X of the racket 2. The first throat 16a extends from the head 14. The second throat 16b extends from the head 14. The second throat 16b merges with the first throat 16a at a position away from the head 14. The shaft 18 extends from the position where the two throats 16 merge together. The shaft 18 is continuous with the throats 16. A portion of the head 14, the portion being positioned between the two throats 16, is a yoke 22. The frame 4 is hollow.
[0022] The main material of the frame 4 is a fiber reinforced resin. The fiber reinforced resin includes a resin matrix and a large number of reinforcement fibers. The frame 4 includes a plurality of fiber reinforced layers. The fiber reinforced resin will be described below in detail.
[0023] Examples of the base resin of the frame 4 include: thermosetting resins such as epoxy resin, bismaleimide resin, polyimide, and phenolic resin; and thermoplastic resins such as polyether ether ketone, polyether sulphone, polyether imide, polyphenylene sulfide, polyamide, and polypropylene. Epoxy resin is a particularly suitable resin for the frame 4.
[0024] Examples of the reinforcement fibers of the frame 4 include carbon fibers, metal fibers, glass fibers, and aramid fibers. Carbon filament fibers are particularly suitable fibers for the frame 4. Multiple types of fibers may be used in combination as the reinforcement fibers.
[0025] As shown in
[0026] The grip 6 is wound around the shaft 18. The grip 6 is formed by a tape. The grip 6 suppresses slip between a hand of a player and the racket 2 when the racket 2 is swung by the player.
[0027] As shown in
[0028] The grommet 10 is attached to the head 14. In a state where the grommet 10 is attached to the head 14, the base 28 is accommodated in the groove 24. The base 28 may partly protrude from the groove 24. Further, in the state where the grommet 10 is attached to the head 14, the pipes 30 extend through the respective holes 26.
[0029] As shown in
[Manufacturing Method]
[0030] Hereinafter, one example of a method of manufacturing the tennis racket 2 is described with reference to
[0031] By rotating the mandrel, the prepreg 34s is wound around the prepreg 34p. As a result of the winding, the prepreg 34s has a tubular shape. As a result of the winding, a layered body 36 is obtained. In
[0032] After the mandrel is removed from the tube, the tube and the layered body 36 are set in a mold. In the mold, gas is injected into the tube, thereby inflating the tube. The prepregs 34 are pressed against the cavity surface of the mold by the inflation. The prepregs 34 are heated to cure the matrix resin. A molded article is obtained by the curing. The molded article has a reverse shape of that of the cavity surface.
[0033] The holes 26 are drilled in the molded article. The molded article is further subjected to treatments such as surface polishing and painting, and thereby the frame 4 is obtained. Components such as the grip 6 and the grommet 10 are attached to the frame 4. Further, the string 12 is stretched on the frame 4, and thus the tennis racket 2 is completed. The racket 2 includes a plurality of fiber reinforced layers.
[Prepreg]
[0034]
[0035]
[0036]
[0037] The frame 4 includes fiber reinforced layers including bias-type reinforcement fibers and fiber reinforced layers including straight-type reinforcement fibers.
[In-Plane Stiffness Index Gi]
[0038] The tennis racket 2 has a proper in-plane stiffness index Gi. The in-plane stiffness index Gi is the ratio of a top pressure stiffness value Git (kgf/cm) to a side pressure stiffness value Gis (kgf/cm). The in-plane stiffness index Gi is calculated by a mathematical formula shown below.
[0039]
[0040] In light of repulsion performance, the top pressure stiffness value Git is preferably greater than or equal to 60 kgf/cm, more preferably greater than or equal to 70 kgf/cm, and particularly preferably greater than or equal to 80 kgf/cm. In light of control performance, the top pressure stiffness value Git is preferably less than or equal to 110 kgf/cm, more preferably less than or equal to 100 kgf/cm, and particularly preferably less than or equal to 90 kgf/cm.
[0041]
[0042] In light of repulsion performance, the side pressure stiffness value Gis is preferably greater than or equal to 45 kgf/cm, more preferably greater than or equal to 50 kgf/cm, and particularly preferably greater than or equal to 60 kgf/cm. In light of control performance, the side pressure stiffness value Gis is preferably less than or equal to 100 kgf/cm, more preferably less than or equal to 90 kgf/cm, and particularly preferably less than or equal to 80 kgf/cm.
[0043] Preferably, the in-plane stiffness index Gi is greater than or equal to 1.40. The tennis racket 2 with the in-plane stiffness index Gi being greater than or equal to 1.40 has excellent spin performance. It is presumed that the reason why this racket 2 has excellent spin performance is that upon impact with a tennis ball, deflection of the head 14 in the axial direction Y is suppressed. It is presumed that in the case of the head 14 with less deflection in the axial direction Y, the real length of the longitudinal threads 32b in the axial direction upon impact with a tennis ball is greater. Upon impact with a tennis ball, the longitudinal threads 32b deform and then restore, and it is presumed that the deformation and the restoration of the longitudinal threads 32b impart great rotational force to the tennis ball. In light of spin performance, the in-plane stiffness index Gi is more preferably greater than or equal to 1.45, and particularly preferably greater than or equal to 1.50. The upper limit of the range of the in-plane stiffness index Gi of the tennis racket 2 suitable for practical use is 1.80.
[Out-of-Plane Stiffness Index Go]
[0044] The tennis racket 2 has a proper out-of-plane stiffness index Go. The out-of-plane stiffness index Go is a product of a throat stiffness value Gos (kgf/cm) and a ball-hitting face stiffness value Goh (kgf/cm). The out-of-plane stiffness index Go is calculated by a mathematical formula shown below.
[0045]
[0046] In light of repulsion performance, the throat stiffness value Gos is preferably greater than or equal to 350 kgf/cm, more preferably greater than or equal to 370 kgf/cm, and particularly preferably greater than or equal to 400 kgf/cm. In light of control performance, the throat stiffness value Gos is preferably less than or equal to 480 kgf/cm, more preferably less than or equal to 460 kgf/cm, and particularly preferably less than or equal to 440 kgf/cm.
[0047]
[0048] In light of repulsion performance, the ball-hitting face stiffness value Goh is preferably greater than or equal to 100 kgf/cm, more preferably greater than or equal to 110 kgf/cm, and particularly preferably greater than or equal to 120 kgf/cm. In light of control performance, the ball-hitting face stiffness value Goh is preferably less than or equal to 170 kgf/cm, more preferably less than or equal to 160 kgf/cm, and particularly preferably less than or equal to 150 kgf/cm.
[0049] The out-of-plane stiffness index Go is preferably greater than or equal to 60000 and less than or equal to 85000. The tennis racket 2 with the out-of-plane stiffness index Go being greater than or equal to 60000 has excellent repulsion performance. In light of this, the out-of-plane stiffness index Go is more preferably greater than or equal to 65000, and particularly preferably greater than or equal to 70000. The tennis racket 2 with the out-of-plane stiffness index Go being less than or equal to 85000 has an excellent feel at impact and excellent control performance. In light of this, the out-of-plane stiffness index Go is more preferably less than or equal to 83000, and particularly preferably less than or equal to 80000.
[Moment of Inertia Mi]
[0050] The tennis racket 2 has a proper moment of inertia Mi about the axis Y.
[0051] The moment of inertia Mi is measured in a state where the string 12 is removed from the frame 4.
[0052] The moment of inertia Mi is preferably greater than or equal to 13500 g.Math.cm.sup.2 and less than or equal to 15000 g.Math.cm.sup.2. In the case of the tennis racket 2 with the moment of inertia Mi being greater than or equal to 13500 g.Math.cm.sup.2, a change in the angle of the face 20 that occurs when a tennis ball collides with the face 20 on a position that is not the sweet spot is small. In other words, the racket 2 with the moment of inertia Mi being greater than or equal to 13500 g.Math.cm.sup.2 has excellent face stability. In light of this, the moment of inertia Mi is more preferably greater than or equal to 13800 g.Math.cm.sup.2, and particularly preferably greater than or equal to 14000 g.Math.cm.sup.2. With the tennis racket 2 with the moment of inertia Mi being less than or equal to 15000 g.Math.cm.sup.2, a sharp feel at impact can be obtained. In light of this, the moment of inertia Mi is more preferably less than or equal to 14900 g.Math.cm.sup.2, and particularly preferably less than or equal to 14800 g.Math.cm.sup.2.
[Index of Inertia Ii]
[0053] The tennis racket 2 has a proper index of inertia Ii. The index of inertia Ii is calculated by a mathematical formula shown below.
In this mathematical formula, Wr is the mass (g) of the racket 2, and Lc is the distance (mm) from the end of the grip 6 to the center of gravity of the racket 2.
[0054] The index of inertia Ii is preferably greater than or equal to 0.150. The tennis racket 2 with the index of inertia Ii being greater than or equal to 0.150 has excellent face stability. In light of this, the index of inertia Ii is more preferably greater than or equal to 0.152, and particularly preferably greater than or equal to 0.153. The upper limit of the range of the index of inertia Ii of the tennis racket 2 suitable for practical use is 0.180.
[Mass]
[0055] The mass of the tennis racket 2 is preferably greater than or equal to 260 g and less than or equal to 320 g. The racket 2 having a mass of greater than or equal to 260 g has excellent repulsion performance. In light of this, the mass of the tennis racket 2 is more preferably greater than or equal to 270 g, and particularly preferably greater than or equal to 285 g. The racket 2 having a mass of less than or equal to 320 g has excellent spin performance. In light of this, the mass of the tennis racket 2 is more preferably less than or equal to 310 g, and particularly preferably less than or equal to 305 g. The mass is measured in a state where the string 12 is removed from the frame 4.
[Performance of Tennis Racket]
[0056] The tennis racket 2 achieves all of the following: the in-plane stiffness index Gi being greater than or equal to 1.40; the out-of-plane stiffness index Go being greater than or equal to 60000 and less than or equal to 85000; the moment of inertia Mi being greater than or equal to 13500 g.Math.cm.sup.2 and less than or equal to 15000 g.Math.cm.sup.2; and the index of inertia Ii being greater than or equal to 0.150. This tennis racket 2 has an excellent balance among repulsion performance, spin performance, and face stability.
[0057] As previously described, the tennis racket 2 includes bias-type reinforcement fibers. The bias-type reinforcement fibers can contribute to achieving the in-plane stiffness index Gi being greater than or equal to 1.40 and the out-of-plane stiffness index Go being greater than or equal to 60000 and less than or equal to 85000. In particular, the reinforcement fibers 42 with an inclination angle (a or b) having an absolute value of greater than or equal to 40 and less than or equal to 50 can contribute to the in-plane stiffness index Gi and the out-of-plane stiffness index Go. The ratio of the reinforcement fibers 42 with an inclination angle having an absolute value of greater than or equal to 40 and less than or equal to 50 to all of the reinforcement fibers 42 included in the frame 4 is preferably greater than or equal to 8% by mass, more preferably greater than or equal to 10% by mass, and particularly preferably greater than or equal to 12% by mass. This ratio is preferably less than or equal to 30% by mass, more preferably less than or equal to 25% by mass, and particularly preferably less than or equal to 20% by mass.
[0058] The in-plane stiffness index Gi being greater than or equal to 1.40 and the out-of-plane stiffness index Go being greater than or equal to 60000 and less than or equal to 85000 can be achieved through adjustments of the material, thickness, density, etc. of the reinforcement fibers 42.
EXAMPLES
Example 1
[0059] A tennis racket of Example 1 was fabricated. The frame of the racket was fabricated to include a plurality of fiber reinforced layers including reinforcement fibers. The ratio of the mass of the reinforcement fibers with an inclination angle (a or b) having an absolute value of greater than or equal to 40 and less than or equal to 50 to the total mass of the reinforcement fibers was 14%. The face area of the racket was 100 in.sup.2. The mass of the racket including the grip, the cap, and the grommet, but without the string, was 300 g. The overall length of the racket was 686 mm. A distance Lc from the grip end of the racket to the center of gravity of the racket was 320 mm. The in-plane stiffness index Gi, the out-of-plane stiffness index Go, the moment of inertia Mi, and the index of inertia li of the racket including the grip, the cap, and the grommet, but without the string, were measured. The in-plane stiffness index Gi was 1.57; the out-of-plane stiffness index Go was 75548; the moment of inertia Mi was 14713 g.Math.cm.sup.2; and the index of inertia Ii was 0.153.
Examples 2 to 4 and Comparative Examples 1 to 6
[0060] Tennis rackets of Examples 2 to 4 and Comparative Examples 1 to 6 were obtained. Tables 1 and 2 below show the specifications of these tennis rackets.
[Ball Speed and Spin Rate]
[0061] Two advanced-level tennis players did a rally by using each tennis racket. The speed (initial speed) and spin rate of a tennis ball immediately after being hit by the tennis racket were measured. The measurement was performed a plurality of times for each tennis racket, and average measurement values for each racket are shown in Tables 1 and 2 below.
[Feel at Impact]
[0062] The tennis players evaluated and rated the face stability of each tennis racket during the rally in accordance with the following grading system. [0063] A: Good [0064] B: Not bad [0065] C: Bad
[0066] The evaluation results are shown in Tables 1 and 2 below.
TABLE-US-00001 TABLE 1 Evaluation results Example 1 Example 2 Example 3 Example 4 Face area [sqin] 100 98 100 100 Mass [g] 300 305 285 270 Lc [mm] 320 315 325 330 Overall length [mm] 686 686 686 686 Gi 1.57 1.42 1.55 1.58 Go 75548 82311 69198 61309 Mi [g*cm.sup.2] 14713 14770 14436 13906 Ii 0.153 0.154 0.156 0.156 Ball speed [km/h] 120.6 121.0 120.2 120.0 Spin rate [rpm] 1260 1200 1290 1310 Face stability A A A A
TABLE-US-00002 TABLE 2 Evaluation Results Comp. Comp. Comp. Comp. Comp. Comp. Example Example Example Example Example Example 1 2 3 4 5 6 Face area [sqin] 100 100 105 100 110 100 Mass [g] 285 285 285 300 255 300 Lc [mm] 325 325 325 320 350 320 Overall length [mm] 686 686 692 686 686 686 Gi 1.22 1.48 1.11 1.63 0.83 1.49 Go 77173 59080 86243 62069 63760 60327 Mi [g*cm.sup.2] 13950 14348 14086 13417 16152 14115 Ii 0.151 0.155 0.152 0.140 0.181 0.147 Ball speed [km/h] 120.2 118.9 121.8 120.0 120.4 120.2 Spin rate [rpm] 1140 1250 1100 1270 1050 1230 Face stability A A A C B B
[0067] It is clear from Tables 1 and 2 that the tennis racket of each Example has an excellent balance among repulsion performance, spin performance, and face stability. These evaluation results clearly indicate the superiority of the racket of each Example.
[Disclosure Items]
[0068] The following items each disclose a preferred embodiment. [0069] [Item 1] [0070] A racket, wherein: an in-plane stiffness index Gi, which is a ratio of a top pressure stiffness value Git (kgf/cm) to a side pressure stiffness value Gis (kgf/cm), is greater than or equal to 1.40; an out-of-plane stiffness index Go, which is a product of a throat stiffness value Gos (kgf/cm) and a ball-hitting face stiffness value Goh (kgf/cm), is greater than or equal to 60000 and less than or equal to 85000; a moment of inertia Mi about an axis of the racket is greater than or equal to 13500 g.Math.cm.sup.2 and less than or equal to 15000 g.Math.cm.sup.2; and an index of inertia Ii is greater than or equal to 0.150, which is calculated by the following mathematical formula: Ii=Mi/(Wr.Math.Lc) (where Wr is a mass (g) of the racket, and Lc is a distance (mm) from a grip end of the racket to a center of gravity of the racket). [0071] [Item 2] [0072] The racket according to item 1, wherein the mass Wr is greater than or equal to 285 g and less than or equal to 305 g. [0073] [Item 3]
[0074] The racket according to item 1 or 2, including a frame, wherein: a material of the frame is a fiber reinforced resin including a plurality of reinforcement fibers; and a ratio of the reinforcement fibers with an inclination angle having an absolute value of greater than or equal to 40 and less than or equal to 50 to all of the plurality of reinforcement fibers included in the frame is greater than or equal to 8% by mass and less than or equal to 30% by mass.
[0075] The racket as described above is suitable also for use in, for example, soft tennis, squash, padel, and badminton. The above descriptions are merely illustrative examples, and various modifications can be made without departing from the principles of the present invention.