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Analytical Study of the Oblique Impact of an Elastic Sphere with a Rigid Flat

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Acoustics and Vibration of Mechanical Structures—AVMS-2017

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 198))

Abstract

In this study, an analytical model of the elastic impact of a solid rubber sphere with a rigid flat is analyzed. The linear and angular motion of the sphere have been simulated for the oblique (60°) and normal (0°) impact cases. The impact of the sphere with the rigid flat has been represented with a nonlinear contact force. The damping term of a previous normal contact force has been modified with a new expression. The normal contact force as a function of deflection has been studied for different cases.

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References

  1. R.J. Dignall, S.J. Haake, Analytical modelling of the impact of tennis balls on court surface, in Tennis Science and Technology Conference. Blackwell (2000), pp. 155–162

    Google Scholar 

  2. S.J. Haake, M.J. Carre, S.R. Goodwill, The dynamic impact characteristics of tennis balls with tennis rackets. J. Sports Sci. 21(10), 839–850 (2003)

    Article  Google Scholar 

  3. S.R. Goodwill, S.J. Haake, Spring damper model of an impact between a tennis ball and racket. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 215(11), 1331–1341 (2001)

    Article  Google Scholar 

  4. S.J. Goodwill, S.R. Haake, Modelling of tennis ball impacts on a rigid surface. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 218(10), 1139–1153 (2004)

    Article  Google Scholar 

  5. M.J. Carre, D.M. James, S.J. Haake, Impact of a non-homogeneous sphere on a rigid surface. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 218(3), 273–281 (2004)

    Article  Google Scholar 

  6. S. Yang, A. Fafitis, A. Wiezel, Nonlinear impact model of a tennis racket and a ball. J. Mech. Sci. Technol. 26(2), 315–321 (2012)

    Google Scholar 

  7. H. Ghaednia, O. Cermik, D.B. Marghitu, Experimental and theoretical study of the oblique impact of a tennis ball with a racket. Proc. Inst. Mech. Eng. Part P J. Sports Eng. Technol. 1754337114567490 (2015)

    Google Scholar 

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Correspondence to Ozdes Cermik .

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Cermik, O., Ghaednia, H., Marghitu, D.B. (2018). Analytical Study of the Oblique Impact of an Elastic Sphere with a Rigid Flat. In: Herisanu, N., Marinca, V. (eds) Acoustics and Vibration of Mechanical Structures—AVMS-2017. Springer Proceedings in Physics, vol 198. Springer, Cham. https://doi.org/10.1007/978-3-319-69823-6_4

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