Comparison of a finite element model of a tennis racket to experimental data

Modern tennis rackets are manufactured from composite materials with high stiffness-to-weight ratios. In this paper, a finite element (FE) model was constructed to simulate an impact of a tennis ball on a freely suspended racket. The FE model was in good agreement with experimental data collected in a laboratory. The model showed racket stiffness to have no influence on the rebound characteristics of the ball, when simulating oblique spinning impacts at the geometric stringbed centre. The rebound velocity and topspin of the ball increased with the resultant impact velocity. It is likely that the maximum speed at which a player can swing a racket will increase as the moment of inertia (swingweight) decreases. Therefore, a player has the capacity to hit the ball faster, and with more topspin, when using a racket with a low swingweight.

[1]  Steve Haake,et al.  Spring damper model of an impact between a tennis ball and racket , 2001 .

[2]  Steve Haake,et al.  Experimental validation of a finite-element model of head-clamped tennis racket , 2008 .

[3]  Rod Cross,et al.  Effects of friction between the ball and strings in tennis , 2000 .

[4]  Steve Haake,et al.  Experimental and finite element analysis of a tennis ball impact on a rigid surface , 2005 .

[5]  H. Lammer,et al.  9 – Materials and tennis rackets , 2003 .

[6]  Peter M. B. Walker Chambers science and technology dictionary , 1988 .

[7]  Steve Haake,et al.  Effect of string tension on the impact between a tennis ball and racket , 2004 .

[8]  Simon Bruce Choppin,et al.  Modelling of tennis racket impacts in 3D using elite players. , 2008 .

[9]  Lloyd V. Smith,et al.  Describing the plastic deformation of aluminium softball bats , 2007 .

[10]  Zhengyou Zhang,et al.  Flexible camera calibration by viewing a plane from unknown orientations , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[11]  H. Brody,et al.  The physics of tennis. III. The ball–racket interaction , 1997 .

[12]  Steve Haake,et al.  Ball and Racket Movements Recorded at the 2006 Wimbledon Qualifying Tournament (P109) , 2008 .

[13]  Steve Haake,et al.  Experimental Validation of a Tennis Ball Finite-element Model for Different Temperatures (P22) , 2007 .

[14]  Thomas Bruce Allen Finite element model of a tennis ball impact with a racket , 2009 .

[15]  Mike Jenkins Materials in Sports Equipment , 2003 .

[16]  Steve Haake,et al.  The evolution of the tennis racket and its effect on serve speed , 2007 .

[17]  Steve Haake,et al.  Modelling of an impact between a tennis ball and racket , 2003 .

[18]  Steve Haake,et al.  Ball spin generation by elite players during match play , 2007 .

[19]  John Kelley,et al.  Ball Spin Generation at the 2007 Wimbledon Qualifying Tournament (P110) , 2008 .

[20]  Steve Haake,et al.  Ball spin generation for oblique impacts with a tennis racket , 2004 .

[21]  Sean R. Mitchell,et al.  Head speed vs. racket inertia in the tennis serve , 2000 .

[22]  Howard Brody,et al.  Models of Tennis Racket Impacts , 1987 .

[23]  Rod Cross Oblique impact of a tennis ball on the strings of a tennis racket , 2003 .

[24]  Simon Richard Goodwill The dynamics of tennis ball impacts on tennis rackets. , 2002 .

[25]  S. Miller,et al.  Modern tennis rackets, balls, and surfaces , 2006, British Journal of Sports Medicine.

[26]  Steve Haake,et al.  Experimental Validation of a Finite-element Model of a Tennis Racket String-bed (P21) , 2008 .

[27]  Margaret Estivalet,et al.  The engineering of sport 7 , 2008 .