The disclosure relates to inflatable sports balls.
A variety of inflatable sport balls, such as soccer balls, conventionally exhibit a layered structure that includes a casing, an intermediate structure, and a bladder. The casing forms an exterior portion of the sports ball and is generally formed from a plurality of durable and wear-resistant panels joined together along abutting edge areas (e.g., with stitching, adhesives, or bonding), i.e., via a seam. Designs such as decorative elements and holistic textural patterns may be applied to the exterior surface of the casing. Decorative elements are conventionally applied via processes such as thermal transfer films or a release paper. Textural patterns are conventionally applied via processes such as embossing, debossing, stamping, molding, or laser etching.
The intermediate structure forms a middle portion of the sport ball and is positioned between the casing and the interior. Among other purposes, the intermediate structure may provide a softened feel to the sport ball, impart energy return, and restrict expansion of the bladder. In some configurations, the intermediate structure or portions of the intermediate structure may be bonded, joined, or otherwise incorporated into the casing as a backing material. In other configurations, the intermediate structure or portions of the intermediate structure may be bonded, joined, or otherwise incorporated into the interior.
A sports ball is provided. The sports ball may include an interior bladder and a cover disposed about the interior bladder. The cover may include a plurality of adjoining panels. The cover may define an exterior surface comprising a plurality of plateau sections and a plurality of channels extending radially inward from the exterior surface.
The plurality of channels may include a plurality of peripheral channel segments and a plurality of interior channel segments. The plurality of peripheral channel segments may each define a peripheral seam between adjoining panels. The plurality of interior channel segments may each be provided within a central region of one or more of the panels, such that the interior channel segments divide the exterior surface into a plurality of open polygonal portions.
Each interior channel segment defines a side of at least one of the open polygonal portions and the plateau sections define the interior of each open polygonal portion between the interior channel segments. Accordingly, the peripheral channel segments, the interior channel segments, and the plateau sections cooperate to define a topographical arrangement across the exterior surface of the cover.
While the present disclosure may be described with respect to specific applications or industries, those skilled in the art will recognize the broader applicability of the disclosure. Those having ordinary skill in the art will recognize that terms such as “above,” “below,” “upward,” “downward,” etc., are used descriptively of the figures, and do not represent limitations on the scope of the disclosure, as defined by the appended claims. Any numerical designations, such as “first” or “second” are illustrative only and are not intended to limit the scope of the disclosure in any way.
The terms “comprising,” “including,” and “having” are inclusive and therefore specify the presence of stated features, steps, operations, elements, or components, but do not preclude the presence or addition of one or more other features, steps, operations, elements, or components. Orders of steps, processes, and operations may be altered when possible, and additional or alternative steps may be employed. As used in this specification, the term “or” includes any one and all combinations of the associated listed items. The term “any of” is understood to include any possible combination of referenced items, including “any one of” the referenced items. The term “any of” is understood to include any possible combination of referenced claims of the appended claims, including “any one of” the referenced claims.
The terms “a,” “an,” “the,” “at least one,” and “one or more” are used interchangeably to indicate that at least one of the items is present. A plurality of such items may be present unless the context clearly indicates otherwise. All numerical values of parameters (e.g., of quantities or conditions) in this specification, unless otherwise indicated expressly or clearly in view of the context, including the appended claims, are to be understood as being modified in all instances by the term “about” whether or not “about” actually appears before the numerical value. “About” indicates that the stated numerical value allows some slight imprecision (with some approach to exactness in the value; approximately or reasonably close to the value; nearly). If the imprecision provided by “about” is not otherwise understood in the art with this ordinary meaning, then “about” as used herein indicates at least variations that may arise from ordinary methods of measuring and using such parameters. In addition, a disclosure of a range is to be understood as specifically disclosing all values and further divided ranges within the range.
Features shown in one figure may be combined with, substituted for, or modified by, features shown in any of the figures. Unless stated otherwise, no features, elements, or limitations are mutually exclusive of any other features, elements, or limitations. Furthermore, no features, elements, or limitations are absolutely required for operation. Any specific configurations shown in the figures are illustrative only and the specific configurations shown are not limiting of the claims or the description.
The following discussion and accompanying figures disclose various sports ball configurations and methods relating to manufacturing of the sport balls. Although the sports ball is depicted as a soccer ball in the associated Figures, concepts associated with the configurations and methods may be applied to various types of inflatable sport balls, such as basketballs, footballs (for either American football or rugby), volleyballs, water polo balls, etc. and variety of non-inflatable sports balls, such as baseballs and softballs, may also incorporate concepts discussed herein.
Referring to the drawings, wherein like reference numerals refer to like components throughout the several views, a sports ball 10 is provided. In a general sense, the sports ball 10 of the present disclosure includes a plurality of outer panels 28 having a topographical arrangement 56 disposed thereon, such that the topographical arrangement 56 is defined by a plurality of peripheral channel segments 38 and a plurality of interior channel segments 34. The plurality of interior channel segments 34 may each be provided within a central region of one or more of the panels 28, such that the interior channel segments 34 divide the exterior surface 13 of the panels 28 into a plurality of open polygonal portions 54. Such a configuration has been found to provide aerodynamic consistency and softness and feel characteristics that are improved from conventional designs.
As shown in
In a non-inflatable example configuration of the sports ball 10, the interior 16 may be one of a solid mass and hollow mass, fixed in size. In an inflatable example configuration of the sports ball 10, the interior 16 may be an interior bladder (
The cover 12 forms an exterior portion of the sports ball 10 and defines an exterior surface 13. The term cover 12 is meant to include any layer of the sports ball 10 that surrounds the interior 16. Thus, the cover 12 has a thickness 88 and may include both the outermost layer and also any intermediate layers, which are disposed between the interior 16 and the exterior surface 13. As shown in
In some embodiments, the outer substrate layer 24 may be composed of a polymeric material, a polymer foam material, or the like. Examples of suitable polymer materials include, but are not limited to, polyurethane, polyvinylchloride, polyamide, polyester, polypropylene, polyolefin, and the like.
The intermediate structure 14 may include a first intermediate cover layer 26 and a second intermediate cover layer 22. The first intermediate cover layer 26 is positioned between the outer substrate 24 and the second intermediate cover layer 22. The second intermediate cover layer 22 is positioned between the first intermediate cover layer 26 and the interior bladder 16. The second intermediate cover layer 22 may include the inner substrate surface 20, wherein the inner substrate surface 20 is positioned adjacent to the ball interior 16.
The respective cover layers 22, 26 of the intermediate structure 14 may be composed of a polymeric material, a polymer foam material, a foam material, textiles, or the like. Examples of suitable polymer materials include, but are not limited to, polyurethane, polyvinylchloride, polyamide, polyester, polypropylene, polyolefin, and the like. Examples of suitable polymer foam materials include, but are not limited to, polyurethane, ethylvinylacetate, and the like. Examples of suitable textile materials include, but are not limited to, a woven or knit textile formed from polyester, cotton, nylon, rayon, silk, spandex, or a variety of other materials. A textile material may also include multiple materials, such as a polyester and cotton blend. The intermediate structure 14 may further provide a softened feel to the sports ball, impart energy return, and restrict expansion of bladder 16, in an inflatable sports ball 10 example. In one example, the outer substrate layer 24 may be formed a thermoplastic polyurethane material (TPU), first intermediate layer 26 may be formed from a polymer foam material, the second intermediate layer 22 may be formed from a textile material.
As shown in
As shown in
As shown in
In one example, the plurality of peripheral channel segments 38 may be defined as a plurality of seams 38 configured to couple the plurality of panels 28 and define a peripheral seam 38 between the plurality of adjoining panels 28. The respective panels 28 may be coupled together along abutting edge areas 36 (
The panels 28 may be coupled along the abutting edge areas 36 by the seam 38 with stitching, bonding, welding, adhesives, or another suitable coupling method. As utilized herein, the term “welding” or variants thereof (such as “thermal bonding”) is defined as a technique for securing two elements to one another that involves a softening or melting of a polymer material within at least one of the elements such that the materials of the elements are secured to each other when cooled. Similarly, the term “weld” or variants thereof (e.g., “thermal bond”) is defined as the bond, link, or structure that joins two elements through a process that involves a softening or melting of a polymer material within at least one of the elements such that the materials of the elements are secured to each other when cooled. An example of welded seams 38 is disclosed in U.S. Pat. No. 8,608,599 to Raynak, et al., which is hereby entirely incorporated herein by reference. U.S. Pat. No. 8,608,599 to Raynak, et al. generally discloses examples of welded seams, in that welding generally produces a heat affected zone in which the materials of the two joined components are intermingled. This heat affected zone may be considered a “weld” or “thermal bond.” Further, welding may involve (a) the melting or softening of two panels that include polymer materials such that the polymer materials from each panel intermingle with each other (e.g., diffuse across a boundary layer between the polymer materials) and are secured together when cooled, as well as (b) the melting or softening of a polymer material in a first panel such that the polymer material extends into or infiltrates the structure of a second panel (e.g., infiltrates crevices or cavities formed in the second panel or extends around or bonds with filaments or fibers in the second panel) to secure the panels together when cooled. Further, welding may occur when only one panel includes a polymer material or when both panels include polymer materials.
Referring to
Further, each seam or peripheral channel segment 38 may have a seam length 45. The plurality of seams 38 may further define a first aggregate deboss length. The first aggregate deboss length is defined as a sum of all of the seam lengths 45. In some example embodiments, the first aggregate deboss length may be from about 135 centimeters to about 150 centimeters. As shown in the examples in
Referring to
In some example embodiments, interior channel segments 34 may be spaced apart from the seams 38 of the sport ball 10. In other example embodiments, interior channel segments 34 may extend to edges 36 of the panels 28 and, thus, continue across a respective seam 38. More particularly, an interior channel segment 34 on a first panel 30 and an interior channel segment 34 on a second panel 40 may be in substantial alignment with one another across a respective seam 38. This may also enable patterns, arrangements, or other designs to be carried across multiple panels, bridging seams 38 between the panels 28. In an example embodiment, wherein the cover 12 has a substantially uniform or unbroken configuration that does not include panels 28 or includes fewer panels, a debossed feature or interior channel segment 34 may be positioned in areas of the cover 12 that correspond with the positions of seams 38 in a conventional twelve panel sports ball 10, in order to impart the appearance of seams 38.
As shown in
The plurality of interior channel segments 34 may be formed on the cover via a variety of manufacturing processes including, but not limited to, debossing. Examples of a manufacturing process for forming debossed features 34 are disclosed in U.S. Pat. No. 9,370,693 to Berggren, et al., which is hereby entirely incorporated by reference herein. U.S. Pat. No. 9,370,693 to Berggren, et al. generally discloses a variety of manufacturing processes that may be utilized to form debossed features 34 in panels 28. In one example, one of panels is located on a platen. A press plate is positioned above the platen and includes a protrusion having a predetermined shape. The protrusion presses into and heats the areas of panel forming the debossed features. The press plate then moves away from the panel to substantially complete the formation of the debossed feature.
Referring to
The interior channel segments 34 may include a first portion 82 and a second portion 84. The first portion 82 has the interior channel segment terminus 65 thereon that is radially-spaced apart from the exterior surface 13 by the channel depth 67. Further, each plateau section 35 is defined between interior channel segments 34, such that each interior channel segment 34 abuts the adjacent plateau section 35 at a connection edge positioned at a shoulder portion 29 of the respective interior channel segment 34. Each interior channel segment 34 may be linear along the connection edge, such that the connection edge itself is linear.
The specific configuration of the interior channel segments 34 may vary considerably. Referring to
Referring to
Alternatively, the interior channels 34 may include a first portion 82 and a second portion 84 that exhibit substantially squared configurations (
As shown in
In
As shown in
Further, each interior channel segment 34 may have an interior channel segment length 50. In one example, the interior channel segment length 50 of each interior channel segment 34 may be from about 1.0 centimeters to about 2.0 centimeters.
The plurality of interior channel segments 34 may further define a second aggregate deboss length. The second aggregate deboss length is defined as a sum of all of the interior channel segments lengths 50. In some example embodiments, the second aggregate deboss length may be greater than 600 centimeters. More particularly, the second aggregate deboss length may be from about 620 centimeters to about 650 centimeters. More particularly, the second aggregate deboss length shown in the examples of
The sports ball 10 may further have an aggregate feature length, which is defined as the sum of the first aggregate deboss length (total length of all the peripheral channel segments or seams 38) and the second aggregate deboss length (a sum of all of the interior channel segment lengths 50 of all interior channel segments 34). In example embodiments, the aggregate feature length may be greater than 750 centimeters. By way of example, in
Increased aggregate feature length and increased surface coverage of the exterior surface 13 by the channels 34, 38 creates positive flight characteristics (consistency and length of trajectory) and enhances the aerodynamics of ball 10, i.e., reducing aerodynamic drag on the ball for better accuracy, consistency, and increased velocity. Due to increased aggregate feature length and increased surface coverage of the exterior surface 13 by the channels 34, 38, it is more likely that the boundary layer of air surrounding the sports ball 10 in flight will undergo the transition from laminar flow to turbulent flow at a predetermined point, resulting in enhanced flight characteristics and aerodynamic properties.
However, if aggregate feature length and of the percentage of surface coverage occupied by the channels 34, 38 are increased beyond a critical point, such that the channels 34, 38 do not maintain enough predefined distance 93 therebetween, softness and ball feel characteristics may be diminished. As such, it is desirable to arrange the channel segments 34, 38 on the exterior surface 13 in a topographical arrangement 56 to balance increased aggregate feature length and surface coverage of the exterior surface 13 by the channels 34, 38 to enhance consistency and the aerodynamic properties of the ball 10 without sacrificing softness and ball feel characteristics.
In one example, shown in
The smaller the predefined distance 93, 95 between two respective channels 34, 38 the harder the ball surface at the respective measurement point. Maintaining a minimum acceptable predefined distance 93, 95 between channel segments 34, 38 allows the ball 10 to maintain desired softness and ball feel characteristics. An example ball 10 having a distance 93, 95 smaller than the predefined distance 93, 95 between two respective non-contiguous channels 34, 38 the harder the ball surface at the respective measurement point.
The plurality of plateau sections 35, the plurality of peripheral channel segments or seams 38, and the plurality of interior channel segments 34 cooperate to define the topographical arrangement 56 across a majority of the exterior surface 13 of the cover 12.
With reference to the example configurations of topographic designs 56 shown in
The interior channel segments 34 that connect to one another to form the open polygonal portions 54 connect at an oblique angle. Said another way, each interior channel segment 34 that is connected to another interior channel segment 34 is obliquely angled with respect to the other interior channel segment 34. In this way, each interior channel segment 34 may be one of a plurality of interconnected channel segments forming a more extended indentation or debossed feature.
In the designs shown in
Each open polygonal portion 54 may be contiguous with at least one adjacent open polygonal portion 54. Further each open polygonal portion 54 may be separated from at least one adjacent open polygonal portion 54 via one or more of the plurality of interior channel segments 34. By way example, in
The open polygonal portions 54 may be of varying cell size. As shown, the open polygonal portions 54 of
Further, in the example configuration of
Further referring to
In an example twelve panel ball 10, the topographical design 56 may be comprised of six pairs of predefined panel arrangements 75, 76. In this example, corresponding panel arrangements 75, 76 would be disposed opposite one another on the ball 10, when the respective panels 28 are coupled at the peripheral seams 38. In an example four panel ball 10, wherein each panel 28 is essentially comprised of three conventional pentagon-shaped panels of a conventional twelve panel ball 10, each of the four panels 28 contains a plurality of sub-panel arrangements 71 positioned in a specified orientation on three respective panel sections 73, 77, 79.
More particularly, referring to
In the four-panel ball 10 example of
More particularly, in this way, the inflatable sports ball 10 has an interior center C and the interior center C is positioned on a central axis A, as shown in
The detailed description and the drawings or figures are supportive and descriptive of the present teachings, but the scope of the present teachings is defined solely by the claims. While some of the best modes and other embodiments for carrying out the present teachings have been described in detail, various alternative designs and embodiments exist for practicing the present teachings defined in the appended claims.
This application claims the benefit of U.S. Provisional Application No. 62/725,681, filed Aug. 31, 2018, which is hereby incorporated by reference in its entirety.
Number | Name | Date | Kind |
---|---|---|---|
1931429 | Buckner | Oct 1933 | A |
2182052 | Reach | Dec 1939 | A |
2245115 | Reach | Jun 1941 | A |
2859040 | Gow | Nov 1958 | A |
3512777 | Henderson | May 1970 | A |
4318544 | Brine, Jr. | Mar 1982 | A |
4337944 | Massino | Jul 1982 | A |
4542902 | Massino | Sep 1985 | A |
4736948 | Thomas | Apr 1988 | A |
4928962 | Finley | May 1990 | A |
4991842 | Finley | Feb 1991 | A |
5354053 | Ratner | Oct 1994 | A |
D357958 | Audero, Jr. | May 1995 | S |
5427372 | Ratner | Jun 1995 | A |
5451046 | Batton | Sep 1995 | A |
5518234 | Palmquist | May 1996 | A |
5683316 | Campbell | Nov 1997 | A |
5735761 | Palmquist | Apr 1998 | A |
5851161 | Sassak | Dec 1998 | A |
D408876 | Feeney | Apr 1999 | S |
5931752 | Guenther et al. | Aug 1999 | A |
5984812 | Sassak | Nov 1999 | A |
6012997 | Mason | Jan 2000 | A |
6283881 | Feeney | Sep 2001 | B1 |
6302815 | Shishido et al. | Oct 2001 | B1 |
6406389 | Feeney et al. | Jun 2002 | B1 |
6422961 | Feeney | Jul 2002 | B1 |
6503162 | Shishido et al. | Jan 2003 | B1 |
6685585 | Shishido et al. | Feb 2004 | B2 |
6988969 | Avis | Jan 2006 | B2 |
7300357 | Breaker et al. | Nov 2007 | B2 |
7614959 | Gentile | Nov 2009 | B1 |
7654880 | Schneider | Feb 2010 | B2 |
7854671 | Lalvani | Dec 2010 | B2 |
8002652 | Wong | Aug 2011 | B2 |
8182379 | Rapaport et al. | May 2012 | B2 |
8216098 | Lalvani | Jul 2012 | B2 |
8262519 | Raynak et al. | Sep 2012 | B2 |
8371971 | Bevier | Feb 2013 | B2 |
8529386 | Nuernberg et al. | Sep 2013 | B2 |
8579743 | Cohen et al. | Nov 2013 | B2 |
8597144 | Chang et al. | Dec 2013 | B2 |
8608599 | Raynak et al. | Dec 2013 | B2 |
8617011 | Berggren | Dec 2013 | B2 |
8672783 | Fujikura et al. | Mar 2014 | B2 |
8684870 | Ito et al. | Apr 2014 | B2 |
8708847 | Berggren et al. | Apr 2014 | B2 |
8777787 | Raynak et al. | Jul 2014 | B2 |
8845466 | Bevier | Sep 2014 | B2 |
8852039 | White et al. | Oct 2014 | B2 |
8926459 | Berggren et al. | Jan 2015 | B2 |
8974330 | Berggren et al. | Mar 2015 | B2 |
9149701 | Bramlette | Oct 2015 | B1 |
9254424 | Berggren et al. | Feb 2016 | B2 |
9272190 | Tompkins | Mar 2016 | B2 |
9327167 | Raynak et al. | May 2016 | B2 |
9370693 | Berggren et al. | Jun 2016 | B2 |
9370695 | Chang et al. | Jun 2016 | B2 |
9452322 | Thurman | Sep 2016 | B2 |
9457239 | White et al. | Oct 2016 | B2 |
9457525 | Berggren et al. | Oct 2016 | B2 |
9468815 | Berggren et al. | Oct 2016 | B2 |
9486675 | White | Nov 2016 | B1 |
9504880 | Bevier | Nov 2016 | B2 |
9539473 | Berggren et al. | Jan 2017 | B2 |
D786374 | Deaton | May 2017 | S |
D786375 | Deaton | May 2017 | S |
9694247 | Nurnberg | Jul 2017 | B2 |
9814941 | Cohen et al. | Nov 2017 | B2 |
9821195 | Raynak et al. | Nov 2017 | B2 |
9855469 | Berggren et al. | Jan 2018 | B2 |
9884227 | Berggren et al. | Feb 2018 | B2 |
9919483 | Nurnberg | Mar 2018 | B2 |
10016935 | Berggren et al. | Jul 2018 | B2 |
D863473 | Smith | Oct 2019 | S |
D863474 | Smith | Oct 2019 | S |
20040142780 | Estefano | Jul 2004 | A1 |
20060105866 | Ma | May 2006 | A1 |
20060205544 | Wyner et al. | Sep 2006 | A1 |
20060229150 | Ou | Oct 2006 | A1 |
20070117662 | Ma | May 2007 | A1 |
20080032834 | Krysiak | Feb 2008 | A1 |
20080287218 | Freund | Nov 2008 | A1 |
20090042659 | Breaker et al. | Feb 2009 | A1 |
20090325742 | Krysiak | Dec 2009 | A1 |
20100255940 | Nuernberg | Oct 2010 | A1 |
20110012309 | Schreff | Jan 2011 | A1 |
20110152018 | Walling et al. | Jun 2011 | A1 |
20110250819 | Tashman | Oct 2011 | A1 |
20110250997 | Walling et al. | Oct 2011 | A1 |
20120172160 | Marc | Jul 2012 | A1 |
20130005520 | Chang et al. | Jan 2013 | A1 |
20130059683 | Krysiak et al. | Mar 2013 | A1 |
20130260927 | Thurman et al. | Oct 2013 | A1 |
20140038741 | Brooks | Feb 2014 | A1 |
20140179468 | Berggren et al. | Jun 2014 | A1 |
20140179469 | Berggren | Jun 2014 | A1 |
20150367183 | Ou | Dec 2015 | A1 |
20160082323 | Higa et al. | Mar 2016 | A1 |
20160089580 | Nurnberg | Mar 2016 | A1 |
20160243408 | Tompkins | Aug 2016 | A1 |
20160263444 | Nurnberg | Sep 2016 | A1 |
20160288438 | Chang et al. | Oct 2016 | A1 |
20160346627 | Le et al. | Dec 2016 | A1 |
20160346964 | Nurnberg et al. | Dec 2016 | A1 |
20170050089 | Velasco | Feb 2017 | A1 |
20170246512 | Berggren et al. | Aug 2017 | A1 |
20170291076 | Campbell | Oct 2017 | A1 |
20170354851 | Lyon | Dec 2017 | A1 |
20180078827 | Berggren et al. | Mar 2018 | A1 |
20180111024 | Ou | Apr 2018 | A1 |
20180133562 | Berggren | May 2018 | A1 |
20180154220 | Campbell | Jun 2018 | A1 |
20180161636 | Ahmed | Jun 2018 | A1 |
20180169483 | Ou | Jun 2018 | A1 |
20180200969 | Nurnberg | Jul 2018 | A1 |
20180243614 | Berggren | Aug 2018 | A1 |
20180243615 | Berggren et al. | Aug 2018 | A1 |
20180339202 | Molinari | Nov 2018 | A1 |
20190184242 | Molinari | Jun 2019 | A1 |
20200070011 | Molinari | Mar 2020 | A1 |
20200070012 | Molinari | Mar 2020 | A1 |
20200171359 | Molinari | Jun 2020 | A1 |
20200230468 | Molinari et al. | Jul 2020 | A1 |
Number | Date | Country |
---|---|---|
1016122 | Mar 2006 | BE |
0885636 | Dec 1998 | EP |
2375054 | Nov 2002 | GB |
2375054 | Nov 2002 | GB |
2447845 | Oct 2008 | GB |
2005115561 | Dec 2005 | WO |
Entry |
---|
Adrian L. Kiratidis and Derek B. Leinweber, An Aerodynamic Analysis of Recent FIFA World Cup Balls, Special Research Centre for the Subatomic Structure of Matter, Department of Physics, The University of Adelaide, SA, 5005, Australia, Feb. 20, 2018. |
F. Alam, H. Chowdhury, B. Loganathan, I. Mustary and S. Watkins, Aerodynamic Drag of Contemporary Soccer Balls, 19th Australasian Fluid Mechanics Conference, Melbourne, Australia, Dec. 2014. |
Firoz Alam, Harun Chowdhury, Mark Stemmer, Zilong Wang and Jie Yang, Effects of surface structure on soccer ball aerodynamics, Procedia Engineering 34 (2012) pp. 146-151, Published by Elsevier Ltd. |
John Eric Goff, Matt J. Carre, Investigations into soccer aerodynamics via trajectory analysis and dust experiments, Procedia Engineering 34 (2012) pp. 158-163, Published by Elsevier Ltd. |
John Eric Goff, Sungchan Hong and Takeshi Asai, Aerodynamic and surface comparisons between Telstar 18 and Brazuca, Journal of Sports Engineering and Technology, 2018, pp. 1-7, DOI: 10.1177/1754337118773214. |
Luca Oggiano, Lars Saetran, Aerodynamics of modern soccer balls, Procedia Engineering 2 (2010) pp. 2473-2479, Published by Elsevier Ltd. |
Pouya Jalilian, Patrick K. Kreun, Mohammadhady M. Makhmalbaf and William W. Liou, Computational Aerodynamics of Baseball, Soccer Ball and Volleyball, American Journal of Sports Science, vol. 2, No. 5, 2014, pp. 115-121, doi: 10.11648/j.ajss.20140205.12. |
Sungchan Hong and Takeshi Asai, Aerodynamic effects of dimples on soccer ball surfaces, Heliyon 3 (2017) e00432, doi: 10.1016/j.heliyon.2017.e00432. |
Sungchan Hong and Takeshi Asai, Effect of panel shape of soccer ball on its flight characteristics, Sci. Rep. 4, 5068; DOI:10.1038/srep05068 (2014). |
T. Asai, K. Seo, O. Kobayashi and R. Sakashita, Fundamental aerodynamics of the soccer ball, Sports Engineering (2007) 10, pp. 101-110. |
Takeshi Asai, Kazuya Seo, Aerodynamic drag of modern soccer balls, SpringerPlus 2013, 2:171, Published Apr. 19, 2013. |
Number | Date | Country | |
---|---|---|---|
20200070012 A1 | Mar 2020 | US |
Number | Date | Country | |
---|---|---|---|
62725681 | Aug 2018 | US |