CN1346294A - A gold ball with an aerodynamic surface on a polyurethane cover - Google Patents

A gold ball with an aerodynamic surface on a polyurethane cover Download PDF

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Publication number
CN1346294A
CN1346294A CN00803913A CN00803913A CN1346294A CN 1346294 A CN1346294 A CN 1346294A CN 00803913 A CN00803913 A CN 00803913A CN 00803913 A CN00803913 A CN 00803913A CN 1346294 A CN1346294 A CN 1346294A
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indenture
golf
diameter
indentures
group
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CN00803913A
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CN1216662C (en
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S·S·奥格
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Topgolf Callaway Brands Corp
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Callaway Golf Co
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Priority claimed from US09/398,917 external-priority patent/US6213898B1/en
Priority claimed from US09/398,919 external-priority patent/US6224499B1/en
Application filed by Callaway Golf Co filed Critical Callaway Golf Co
Publication of CN1346294A publication Critical patent/CN1346294A/en
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    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0004Surface depressions or protrusions
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0004Surface depressions or protrusions
    • A63B37/0006Arrangement or layout of dimples
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0004Surface depressions or protrusions
    • A63B37/0012Dimple profile, i.e. cross-sectional view
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0004Surface depressions or protrusions
    • A63B37/0019Specified dimple depth
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0004Surface depressions or protrusions
    • A63B37/002Specified dimple diameter
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0004Surface depressions or protrusions
    • A63B37/0021Occupation ratio, i.e. percentage surface occupied by dimples
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0022Coatings, e.g. paint films; Markings
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0023Covers
    • A63B37/0029Physical properties
    • A63B37/0033Thickness
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/007Characteristics of the ball as a whole
    • A63B37/0077Physical properties
    • A63B37/0089Coefficient of drag
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/007Characteristics of the ball as a whole
    • A63B37/0077Physical properties
    • A63B37/009Coefficient of lift
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/007Characteristics of the ball as a whole
    • A63B37/0077Physical properties
    • A63B37/0084Initial velocity

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  • Health & Medical Sciences (AREA)
  • General Health & Medical Sciences (AREA)
  • Physical Education & Sports Medicine (AREA)
  • Compositions Of Macromolecular Compounds (AREA)

Abstract

A dimple pattern for a golf ball (20) with a thermoset polyurethane cover (21) is disclosed herein. The dimple pattern has multiple sets of dimples (34, 36, 38, 40, 42, 44 and 46), each set of dimples (34, 36, 38, 40, 42, 44 and 46) having a different diameter. A preferred set of dimples (34, 36, 38, 40, 42, 44 and 46) is seven different dimples (34, 36, 38, 40, 42, 44 and 46). The dimples (34, 36, 38, 40, 42, 44 and 46) may cover as much as eighty-three percent of the surface (22) of the golf ball (20). The unique dimple pattern allows a golf ball (20) with a thermoset polyurethane cover (21) to have shallow dimples (34, 36, 38, 40, 42, 44 and 46) with steeper entry angles. The unique dimple pattern also allows a golf ball (20) with a thermoset polyurethane cover (21) to have greater low speed lift with a lower high speed drag.

Description

The golf that aerodynamic surface is arranged on the polyurethane surface layer
Technical field
The present invention relates to have the golf of polyurethane surface layer, particularly have a kind of patterns of indentations of the golf of polyurethane surface layer, the varying in size of the indenture in this patterns of indentations.
Correlation technique
Perhaps, the linksman just recognizes as far back as 19th century that the golf that the flying quality specific surface of surperficial pitted golf is smooth is good.Strike the gutta-percha golf of system before 1860 ' s with regard to available hand hammer, the golf that has a rattan thorn (protuberance but not indenture) is year popular in 19th century-1908.In 1908, British William Taylor obtained to have indenture, the golf that rattan stings flies better than having, the BP of more accurate golf.A.G.Spalding﹠amp; Bros. buy United States Patent (USP) power back and introduce the GLORY ball that has the Taylar indenture.At twentieth century before the seventies, the golf that GLORY ball and great majority have an indenture have the indenture that 336 sizes are identical, use identical ATTI pattern.The ATTI pattern is a kind of octahedra pattern, is divided into 8 concentric straight lines rows, because of the principal manufacturer of mold for golf balls gains the name.
Unique innovation relevant with the golf surface in past 60 years is that Albert Penfold makes, and he is a kind of lattice golf for Dunlop has invented.This pattern just is accepted to twentieth century invention in 1912 thirties.
Begin patterns of indentations is reformed twentieth century some golf giant manufacturers seventies.1973, Titlelist introduced a kind of icosahedron patterns that golf is divided into 20 deltas.But icosahedron patterns is seen the BP No.377 of John Vernon Pugh, 354, and the indenture of this pattern is positioned on the equator of golf, and this equator is generally the line of demarcation that makes golf ball mold.
In the twentieth century later stage seventies and the eighties, golf giant manufacturer's mathematicians are devoted to increase the indenture surface area (indenture area coverage) of golf.The indenture surface of ATTI pattern golf accounts for 50%.Breakthrough is afterwards brought up to the indenture surface area more than 70%.In U.S. Patent No. 4,949,976 disclosed a kind of golf of William Gobush, 422 indentures are arranged, the coverage rate of indenture is 78%.In twentieth century nineties, the coverage rate of indenture surface area breaks through 80%.
When surface area coverage increased, the quantity of different indentures was also increasing on the golf.In the disclosed patterns of indentations of ATTI pattern, the size of all indentures is all identical.In the different indenture quantity that increase, the preferred amount of different indentures is three.In people's such as Oka U.S. Patent No. 4,463 disclosed patterns of indentations, 4 kinds of different indentures are arranged on the surface, wherein, on the non-indenture surface indenture can't be arranged in addition.The UK Patent Application No.2157959 of Steven Aoyama discloses the indenture with 5 kinds of different-diameters.In addition, in the tetrakaidecahedron pattern of WilliamGobush invention, indenture has 11 kinds of different-diameters.Referring to 500Yearof Golf Balls, Antique Trade Books, page 189.But, only just valuable when general golfer can buy this kind golf on market in the patterns of indentations with multiple indenture of inventing on a kind of golf.
In addition, patterns of indentations depends on that cross sectional shape is as octahedron, dodecahedron and icosahedron patterns.In U.S. Patent No. 5,201, in 522 disclosed a kind of golf patterns of indentations, the pentagon that useful equal number indenture forms.In U.S. Patent No. 4,880,241 disclosedly a kind ofly have in the golf patterns of indentations of improving icosahedron patterns, and the triangular-section that is positioned on the equator makes the place, equator not have indenture.
Although the patent relevant with the golf patterns of indentations has into hundred pieces, but still need make improvements existing patterns of indentations, particularly patterns of indentations to golf with polyurethane surface layer.Have the golf of heat setting polyurethane surface layer such as Maxfli REVOLUTION, MaxfliHT, Titlelist PROFESSIONAL, Titlelist TOUR PRESTIGE and Slazenger RAM420 all need to polyurethane material inherent characteristic, comprise that the increase of circling round, resistance improve and compensation is made in the manufacture difficulty increase.Need also that designing sends as an envoy to has the optimized patterns of indentations of aerodynamic performance of the golf of heat setting polyurethane surface layer.
The present invention's general introduction
The invention provides a kind of novel patterns of indentations, this pattern improves its low speed lift when reducing high speed resistance on the golf, thereby improves the flying distance of golf.The invention provides the many groups indenture that is arranged to a pattern, these indentures cover nearly 86% golf surface for this reason.
One aspect of the present invention is a kind of patterns of indentations on the golf, and this golf has a heat setting surface layer, and its surface scribbles priming paint at least.Preferred heat setting material is a polyurethane, but the present invention also can use other heat setting materials certainly.The different indentures of many groups are arranged on the surface of this golf.Each organizes the diameter difference of indenture.Each is organized indenture and is not more than 0.0060 inch from the degree of depth of the string of its indenture.Each is organized indenture and can be the 0.0045-0.0060 inch from the degree of depth of the string of its indenture.Each organizes indenture respectively an entering angle, and this entering angle can be 14 °-16 °.Each organizes indenture respectively an edge radius, and this edge radius can be the 0.020-0.050 inch.
Another aspect of the present invention is one to have a kind of patterns of indentations on the golf of heat setting polyurethane surface layer, and this pattern can improve low speed lift and reduce high speed resistance.This golf comprises many groups of different indentures on this japanning heat setting polyurethane facing surface.Each organizes the diameter difference of indenture.The different indentures of these many groups cover at least this golf the surface 83%.The lift coefficient of this golf under 70,000 Reynolds numbers and 2000rpm is greater than 0.20, and the resistance coefficient under 180,000 Reynolds numbers and 3000rpm is less than 0.232.
Brief description of drawings
Fig. 1 is " equator " view of golf one preferred embodiment of the present invention.
The same Fig. 1 of Figure 1A, but each row indenture is shown.
The same Fig. 1 of Figure 1B, but the indenture transition region is shown.
Fig. 2 is Fig. 1 golf " earth polar " view.
The same Fig. 2 of Fig. 2 A, but a succession of pentagon that is made of indenture is shown.
The same Fig. 2 of Fig. 2 B, but illustrate by indenture constitute single around pentagon.
Fig. 3 is the earth polar figure of Fig. 1 golf, and the star configuration is shown.
Fig. 4 is the amplification profile of an indenture of first group of indenture of golf of the present invention.
Fig. 4 A is the part sectioned view that the definition that enters radius is shown.
Fig. 5 is the amplification profile of an indenture of second group of indenture of golf of the present invention.
Fig. 6 is the amplification profile of an indenture of the 3rd group of indenture of golf of the present invention.
Fig. 7 is the amplification profile of an indenture of the 4th group of indenture of golf of the present invention.
Fig. 8 is the amplification profile of an indenture of the 5th group of indenture of golf of the present invention.
Fig. 9 is the amplification profile of an indenture of the 6th group of indenture of golf of the present invention.
Figure 10 is the amplification profile of an indenture of the 7th group of indenture of golf of the present invention.
Figure 11 is " earth polar " view of another embodiment of golf of the present invention.
Figure 12 is " equator " view of the another embodiment of golf of the present invention.
Figure 13 illustrates the curve map that concerns between lift coefficient and the Reynolds number.
Figure 14 illustrates the curve map that concerns between resistance coefficient and the Reynolds number.
Best mode for carrying out the invention
What as Figure 1-3, a golf was total represents with label 20.This golf can be member, two members, three members or the like golf one by one.In addition, this three members golf can have a winding layer or a firm boundary layer.The surface layer 21 of golf 20 can be any suitable material.Preferred surface layer 21 is made by the heat setting polyurethane material, still, also can use other materials certainly in the scope of the invention and spirit.Golf 20 can have finishing priming paint and/or finish paint.
Golf 20 has a surface 22.Golf 20 also has one golf 20 is divided into the equator 24 of first hemisphere 26 and second hemisphere 28.In first hemisphere 26 along through bank from the equator 24 turn over 90 the degree be first utmost point 30.In second hemisphere 28 along through bank from the equator 24 turn over 90 the degree be second utmost point 32.
On two hemispheres 26 and 28 surface 22,382 indentures that are divided into seven groups of different indentures are arranged.In quantity, the quantity of first group of indenture 34 is maximum, is 220 indentures in the preferred embodiment.Next is second group of indenture 36, is 100 indentures in the preferred embodiment.Next is third and fourth group of indenture 38 and 40, and 20 indentures are respectively arranged in the preferred embodiment.Next is the 5th and the 6th a group of indenture 42 and 44, and 10 indentures are respectively arranged in the preferred embodiment.The 7th group of indenture 46 has only two indentures.In a preferred embodiment, these 382 indentures cover 86% of this golf surface 22.
Two indentures of the 7th group of indenture 46 are each positioned on the two poles of the earth 30 and 32.One of each indenture in the 5th group of indenture 42 and the 7th group of indenture 46 adjacency.Being arranged in 5 indentures of the 5th group of indenture 42 of first hemisphere 26, each is equidistant with the equator 24 and first utmost point 30.Being arranged in 5 indentures of the 5th group of indenture 42 of second hemisphere 28, each is equidistant with the equator 24 and second utmost point 32.These place, earth polar indentures 42 and 46 account for 2% of golf 20 surfaces 22.
Fig. 8 illustrates the cross section of an indenture of the 5th group of indenture 42.The radius R of indenture 42 5Be about 0.0720 inch, the dark C of string 5Be about 0.0054 inch, entering angle θ 5Be about 15.7 °, edge radius ER 5Be about 0.0336 inch.Figure 10 illustrates the cross section of an indenture of the 7th group of indenture 46.The radius R of indenture 46 7Be about 0.0510 inch, the dark C of string 7Be about 0.0049 inch, entering angle θ 7Be about 13.4 °, edge radius ER 7Be about 0.0336 inch.
10 indentures of the 6th group of indenture 44 account for 3% of golf 20 surfaces 22.Being arranged in 5 indentures of the 6th group of indenture 44 of first hemisphere 26, each is equidistant with the equator 24 and first utmost point 30.Being arranged in 5 indentures of the 6th group of indenture 44 of second hemisphere 28, each is equidistant with the equator 24 and second utmost point 32.In addition, different indentures 34,36 of each the 6th group of indenture 44 and 40 adjacency with three groups.
Fig. 9 illustrates the cross section of an indenture of the 6th group of indenture 44.The radius R of indenture 44 6Be about 0.0930 inch, the dark C of string 6Be about 0.0051 inch, entering angle θ 6Be about 15.2 °, edge radius ER 6Be about 0.0333 inch.Because the diameter of each the 6th group of indenture 44 is very big, so the surface coverage of patterns of indentations of the present invention is also very big.This is opposite with the existing idea that the indenture that reduces with diameter improves surface coverage.
At least one indenture adjacency of all the 4th group of indentures 40 and the 6th group of indenture 44.20 indentures of the 4th group of indenture 40 account for 2.7% of golf 20 surfaces 22.Being arranged in 10 indentures of the 4th group of indenture 40 of first hemisphere 26, each is equidistant with the equator 24 and first utmost point 30.Being arranged in 10 indentures of the 4th group of indenture 40 of second hemisphere 28, each is equidistant with the equator 24 and second utmost point 32.In addition, different indentures 36,38 of each the 4th group of indenture 40 and 44 adjacency with three groups.
Fig. 7 illustrates the cross section of an indenture of the 4th group of indenture 40.The radius R of indenture 40 4Be about 0.062 inch, the dark C of string 4Be about 0.0052 inch, entering angle θ 4Be about 15.2 °, edge radius ER 4Be about 0.0358 inch.
At least one indenture adjacency of all the 3rd group of indentures 38 and the 6th group of indenture 44.20 indentures of the 3rd group of indenture 38 account for 3.8% of golf 20 surfaces 22.Being arranged in 10 indentures of the 3rd group of indenture 38 of first hemisphere 26, each is equidistant with " equator " 24 and first utmost point 30.Being arranged in 10 indentures of the 3rd group of indenture 38 of second hemisphere 28, each is equidistant with " equator " 24 and second utmost point 32.In addition, different indentures 34,36 of each the 3rd group of indenture 38 and 40 adjacency with three groups.
Fig. 6 illustrates the cross section of an indenture of the 3rd group of indenture 38.The radius R of indenture 38 3Be about 0.074 inch, the dark C of string 3Be about 0.0053 inch, entering angle θ 3Be about 15.3 °, edge radius ER 3Be about 0.0344 inch.
220 indentures of first group of indenture 34 are owing to its quantity, size and the position on golf 20 surfaces 22 are not having the greatest impact among the indenture 34-46 on the same group.220 indentures of first group of indenture 34 account for 53% of golf 20 surfaces 22.110 indentures that are arranged in first group of indenture 34 of first hemisphere 26 are arranged in " equator " 24 tops, first row 80 and second row 82 or around the pseudo-star configuration 84 of first utmost point 30, this puppet star configuration can be seen the most clearly in Fig. 3.Equally, 110 indentures that are arranged in first group of indenture 34 of second hemisphere 28 are arranged in equator 24 belows, first row 90 and second row 92 or around pseudo-star configuration 94 (not shown) of second utmost point, 32 (not shown).
Fig. 4 illustrates the cross section of an indenture of first group of indenture 34.The radius R of indenture 34 1Be about 0.0834 inch, the dark C of string 1Be about 0.0053 inch, entering angle θ 1Be about 15.3 °, edge radius ER 1Be about 0.0344 inch." enter radius " with the term that uses in the prior art or " edge radius " different, edge radius is one with the value of entering angle to the lower concave part and the upper convex portion draw the line of indenture profile herein.As shown in Figure 4, first and second derivatives of two Bs must equate at this some place that is defined by this edge radius and this entering angle.Not on the same group among the indenture 34-46, be 100 indentures of second group of indenture 36 because secondly its quantity, size and the position on golf 20 surfaces 22 have the greatest impact.100 indentures of second group of indenture 36 account for 22% of golf 20 surfaces 22.Therefore, second group of indenture 36 accounts for 75% of golf 20 surfaces 22 with first group of indenture 34.50 indentures that are arranged in second group of indenture 36 of first hemisphere 26 are arranged on " equator " 24 top the third lines 86, second pentagon 102 or latitude transition region 70 around first utmost point 30.Equally, 50 indentures that are arranged in second group of indenture 36 of second hemisphere 28 are arranged on equator 24 below the third lines 96, the second pentagon 102a (not shown) or latitude transition region 72 around second utmost point 32.Fig. 5 illustrates the cross section of an indenture of second group of indenture 36.The radius R of indenture 36 2Be about 0.079 inch, the dark C of string 2Be about 0.0053 inch, entering angle θ 2Be about 15.1 °, edge radius ER 2Be about 0.0315 inch.
Can see the most clearly from Figure 1A, each hemisphere 26 and 28 has the triplex row indenture that originates in " equator " 24.First and second row 80 of first hemisphere 26 and first and second row 90 of 82 and second hemisphere 28 and 92 are made of first group of indenture 34.The third line 86 of first hemisphere 26 and the third line 96 of second hemisphere 28 are made of second group of indenture 36.The pattern of these row is used for improving the surface coverage of indenture on golf 20.But as previously mentioned, according to prior art, the indenture that reduces with other several rows radius improves surface coverage.But patterns of indentations of the present invention is transited into a pentagon district 98 from each row equator indenture.This pentagon district 98 can see the most clearly from Fig. 2 A.One identical pentagon district 98a (not shown) is around second utmost point 32.Outwards there are 5 pentagons 100,102,104,106 and 108 in pentagon district 98 from first utmost point 30.Equally, from second utmost point 32 pentagon 100a, 102a, 104a, 106a and 108a. are outwards arranged.First pentagon 100 is made of the 5th group of indenture 42.Second pentagon 102 is made of second group of indenture 36.The 3rd pentagon 104 is made of first group of indenture 34.The 4th pentagon 106 also is made of first group of indenture 34.The 5th pentagon 108 is made of first group of indenture 34 and the 6th group of indenture 44.But bigger the 5th pentagon 108 ' comprises the 5th pentagon 108 and all indentures between the third line 86 and the 5th pentagon 108.Pentagon district 98 is used for improving the surface area of patterns of indentations of the present invention.
Fig. 2 B illustrates 5 triangle 130-138 that constitute pentagon district 98.Dotted line 140 illustrates the scope with the overlapping big pentagon district 98 ' of latitude transition region 70.
Can see the most clearly from Figure 1B, all indentures of the 3rd group of indenture 38, the 4th group of indenture 40 and the 6th group of indenture 44 are arranged in latitude transition region 70 and 72.Latitude transition region 70 and 72 makes patterns of indentations of the present invention carry out the transition to pentagon district 98 and 98 ' from row 80,82,86,90,92,96.Latitude transition region 70 in the two hemispheres 26 and 28 and the circumference area of 72 each covering between " equator " 24 longitude 40-60 °.The utmost point border 120 of the first latitude transition region 70 is from " equator " 24 about 60 longitudes, and its " equator " border 122 is from " equator " 24 about 40 longitudes.Equally, the utmost point border 120a of the second latitude transition region 72 is from " equator " 24 about 60 longitudes, and its " equator " border 122a is from " equator " 24 about 40 longitudes.
Figure 11 and 12 illustrates two embodiment in addition of patterns of indentations of the present invention.Patterns of indentations on Figure 11 golf 20a has only five groups of different indentures 34,36,40,42 and 44.Patterns of indentations on Figure 12 golf 20b has only six groups of different indentures 34,36,38,40,42 and 44.The patterns of indentations of golf 20a and 20b is all removed the 7th group of indenture 46 on the utmost point 30 and 32, and the patterns of indentations of golf 20a replaces all indentures of the 3rd group of indenture 38 with the indenture in the 5th group of indenture 42.
The power that acts on the flight golf is calculated by following orbit equation:
F=F L+F D+G (A)
Wherein, F is the power that acts on the golf; F LBe lift; F DBe resistance; G is a gravity.The lift among the equation A and the calculating formula of resistance are:
F L=0.5C LAρv 2 (B)
F D=0.5C DAρv 2 (C)
Wherein, C LBe lift coefficient; C DBe resistance coefficient; A is the maximum cross section area of golf; ρ is an atmospheric density; V is a golf ball flight speed.
Resistance coefficient C DWith lift coefficient C LAvailable following formula calculates:
C D=2F D/Aρv 2 (D)
C L=2F L/Aρv 2 (E)
Reynolds number R acts on the dimensionless constant of inertia force and the ratio of viscous force on the object that moves in a fluid for expression.The golf that has indenture occurred turbulent at R greater than 40000 o'clock.When R less than 40000 the time, air-flow is a laminar flow.The aloft golf ambient air turbulent flow that has indenture makes it fly fartherly than smooth golf.
Reynolds number R is calculated by following formula
R=vDρ/μ (F)
Wherein, v is the average speed of golf; D is the diameter (being generally 1.68 inches) of golf; ρ is that atmospheric density (is 0.00238slugs/ft under standard atmosphere condition 3); μ is that the absolute viscosity of air (is 3.74 * 10 under standard atmosphere condition -7Lb*sec/ft 2).The golf that its diameter satisfies the requirement of USGA1.68 inch from ball seat hit, Reynolds number R when reaching maximum speed 200ft/s or 136mph in-flight under standard atmosphere condition is about 180,000.Its diameter satisfy in the golf ball flight of USGA1.68 inch requirement peak, the Reynolds number R when minimum speed 78ft/s or 53mph under standard atmosphere condition is about 70,000.The back gravity that peaks will improve the speed of golf.
Figure 13 is the lift coefficient of golf 20 that patterns of indentations of the present invention is arranged on it and the comparison diagram of Titlelist PROFESSIONAL, Titlelist TOUR PRESTIGE, MaxfliREVOLUTION and Maxfli HT URETHANE.Figure 14 is the resistance coefficient of golf 20 that patterns of indentations of the present invention is arranged on it and the comparison diagram of Titlelist PROFESSIONAL, Titlelist TOUR PRESTIGE, Maxfli REVOLUTION and Maxfli HTURETHANE.
Be used for compare test all golf, comprise that the golf 20 with patterns of indentations of the present invention all has a heat setting polyurethane surface layer.Making with golf 20 of patterns of indentations of the present invention see its relevant portion as the reference data be included in this, the applying date is the U.S. Patent No. 6,117,024 " Golf Ball With A PolyurethaneCover " on July 27th, 1999.But the aerodynamics of patterns of indentations of the present invention makes that lift improves, resistance descends, thereby makes golf 20 fly fartherly than the traditional golf with spline structure.
With other golf with polyurethane surface layer relatively, golf 20 of the present invention is that resistance coefficient reduces and lift coefficient improves under low speed unique a kind of golf under high speed.Definitely say, shown in Figure 13 and 14, other golf do not have a kind of under 70,000 Reynolds numbers lift coefficient C LGreater than 0.18 under 180,000 Reynolds numbers resistance coefficient C DLess than 0.23.For example, although Tiltelist PROFESSIONAL is C under 70,000 Reynolds numbers LGreater than 0.18, but its resistance coefficient C DUnder 180,000 Reynolds numbers greater than 0.23.In addition, although Maxfli REVOLUTION is resistance coefficient C under 180,000 Reynolds numbers DGreater than 0.23, but its C LUnder 70,000 Reynolds numbers less than 0.18.
In this respect, the initial velocity of a golf is limited in per second 250 feet (76.2m) (2% error can be arranged by the golf of U.S. golf federation (" USGA ") and St Andrews imperial family and golf club's approval in ancient times is regular, therefore initial velocity is 255m/sec to the maximum), total distance limit adds 6% error at 280 yards (256m), so ultimate range is 296.8 yards (6% error can be reduced to 4%).The visible USGA webpage of the complete description of golf rule www.usga.org.Therefore, in order to meet the golf rule, the initial velocity of a golf and total distance must not surpass these restrictions.Therefore, the patterns of indentations of golf 20 satisfies golf 20 but is no more than these restrictions.

Claims (7)

1. the golf that a surface is arranged is organized indentures this golf comprises more, and wherein, the lift coefficient of this golf under 70,000 Reynolds numbers and 2000rpm is greater than 0.18, and the resistance coefficient under 180,000 Reynolds numbers and 3000rpm is less than 0.232.
2. golf that a surface is arranged, this golf comprises:
More than first indenture on this surface, each indenture of more than first indenture has 0.124 inch of first diameter;
More than second indenture on this surface, each indenture of more than second indenture has second diameter, and second diameter is greater than first diameter;
More than the 3rd indenture on this surface, each indenture of more than the 3rd indenture has the 3rd diameter, and the 3rd diameter is greater than second diameter;
More than the 4th indenture on this surface, each indenture of more than the 4th indenture has the 4th diameter, and the 4th diameter is greater than the 3rd diameter; [and]
More than the 5th indenture on this surface, each indenture of more than the 5th indenture has the 5th diameter, and the 5th diameter is greater than the 4th diameter; And
More than the 6th indenture on this surface, each indenture of more than the 6th indenture has the 6th diameter, and the 6th diameter is about 0.186 inch greater than the 5th diameter;
Wherein, first, second, third, fourth, the 5th and more than the 6th indenture cover at least that this golf should the surface 83%.
3. by the described golf of claim 2, it is characterized in that further comprise a plurality of the 7th indentures with the 7th diameter on this surface, the 7th diameter is less than first diameter; First, second, third, fourth, the 5th, the 6th and more than the 7th indenture cover at least that this golf should the surface 86%.
4. by the described golf of claim 1, it is characterized in that, each indenture in more than first indenture on first hemisphere of this golf, more than second indenture, more than the 3rd indenture and more than the 6th indenture is identical with the distance between first utmost point, and each indenture in more than first indenture on second hemisphere of this golf, more than second indenture, more than the 3rd indenture and more than the 6th indenture is identical with the distance between second utmost point.
5. golf that a surface is arranged, this golf comprises:
382 indentures, wherein, these 382 indentures are divided into 7 groups of different indentures, and each organizes the diameter difference of indenture; These 382 indentures cover at least that this golf should the surface 86%.
6. golf with a heat setting polyurethane surface layer, this polyurethane surface layer has a surface, and this surface scribbles priming paint at least, and this golf comprises:
382 indentures, wherein, these 382 indentures are divided into the different indentures of at least 7 groups, and each organizes the diameter difference of indenture; These 382 indentures cover at least that this golf should the surface 86%; The string of each indenture of these 7 groups different indentures from an imaginary horizontal plane that stretches out from an inflexion point of the curve of this indenture to this indenture bottom is 0.0045 inch-0.0060 inch deeply.
7. by the described golf of above-mentioned arbitrary claim, it is characterized in that the thickness of this heat setting polyurethane surface layer is the 0.030-0.038 inch.
CN008039135A 1999-09-16 2000-09-14 A gold ball with an aerodynamic surface on a polyurethane cover Expired - Fee Related CN1216662C (en)

Applications Claiming Priority (4)

Application Number Priority Date Filing Date Title
US09/398,917 US6213898B1 (en) 1999-09-16 1999-09-16 Golf ball with an aerodynamic surface on a polyurethane cover
US09/398,917 1999-09-16
US09/398,919 1999-09-16
US09/398,919 US6224499B1 (en) 1999-09-16 1999-09-16 Golf ball with multiple sets of dimples

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CN1216662C CN1216662C (en) 2005-08-31

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CN1216662C (en) 2005-08-31
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JP2003509140A (en) 2003-03-11
WO2001019464A1 (en) 2001-03-22
KR100744452B1 (en) 2007-08-01
JP2003290393A (en) 2003-10-14
KR20020039643A (en) 2002-05-27
CA2359466A1 (en) 2001-03-22
WO2001019464A9 (en) 2002-12-27
EP1233820A1 (en) 2002-08-28

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