Sports Engineering

, Volume 12, Issue 3, pp 143–153 | Cite as

Measurement of badminton racket deflection during a stroke

  • Maxine Kwan
  • Ching-Lung Cheng
  • Wen-Tzu Tang
  • John Rasmussen
Original Article


The compliance of a badminton racket is an important design consideration, which can be better understood by studying the deflection behaviour of the racket during a stroke. Deflection can be measured using direct methods, such as motion capture or high speed video, or by indirect methods, which then require a mathematical model in order to calculate the deflections from indirect measures. Indirect methods include strain gauges and accelerometers. Here, racket deflection is measured directly using motion capture and compared with deflections calculated from strain gauge data using a beam model. While the elastic behaviour is better calculated from strains than measured by motion capture, it is not possible to extract the whole motion of the racket from strain data. Motion capture is therefore also necessary to determine the rigid body velocity, in order to put the elastic velocity (as calculated from strains) in perspective.


Badminton Racket Deformation Stiffness Compliance 


  1. 1.
    “Badminton,” Microsoft® Encarta® Online Encyclopedia 2009. © 1997–2009 Microsoft Corporation. All Rights Reserved
  2. 2.
    Tsai CL, Chang SS (1998) Biomechanical analysis of differences in the badminton smash and jump smash between Taiwan elite and collegiate players. In: Riehle HJ, Vieten MM (eds) Proceedings of the XVI international symposium on biomechanics in sport. ISBS, Konstanz, pp 259–262Google Scholar
  3. 3.
    Hsieh CC, Wong TL, Wang JC, Chung MJ (2004) The effect of two different weighted badminton rackets about velocity and torque when outstanding badminton players was performing smash movement. In: Lamontagne M, Gordon D, Robertson E, Sveistrup H (eds) Proceedings of the XXII international symposium on biomechanics in sport. ISBS, Ottawa, pp 462–464Google Scholar
  4. 4.
    Huang KS, Huang C, Chang SS, Tsai CL (2002) Kinematic analysis of three different badminton backhand overhead strokes. In: Gianikellis KE (ed) Proceedings of the XX international symposium on biomechanics in sport. ISBS, Caceres, pp 200–202Google Scholar
  5. 5.
    Lee BK (1993) The effects of the kinematic link principle on performance. In: Hamill J, Derrick TR, Elliott EH (eds) Proceedings of the XI international symposium on biomechanics in sport. ISBS, Amherst, pp 239–242Google Scholar
  6. 6.
    Liu X, Kim W, Tan J (2002) An analysis of the biomechanics of arm movement during a badminton smash. Nanyang Technological University, Singapore. Accessed 5 May 2009
  7. 7.
    Rambely AS, Osman NAA, Usman J, Abas WABW (2005) The contribution of upper limb joints in the development of racket velocity in the badminton smash. In: Wang Q (ed) Proceedings of the XXIII international symposium on biomechanics in sport. ISBS, Beijing, pp 422–426Google Scholar
  8. 8.
    Cross R (1999) Impact of a ball with a bat or racket. Am J Phys 67:692–702CrossRefGoogle Scholar
  9. 9.
    Milne RD, Davis JP (1992) The role of the shaft in the golf swing. J Biomech 25:975–983CrossRefGoogle Scholar
  10. 10.
    Jaitner T, Gawin W (2007) Analysis of badminton smash with a mobile measure device based on accelerometry. In: Menzel HJ, Chagas MH (eds) Proceedings of the XXV international symposium on biomechanics in sport. ISBS, Ouro Preto, pp 282–284Google Scholar
  11. 11.
    Brody H (1995) How would a physicist design a tennis racket? Physics Today 48:26–31CrossRefGoogle Scholar
  12. 12.
    Cross R (1998) The sweet spot of a baseball bat. Am J Phys 66:772–779CrossRefGoogle Scholar
  13. 13.
    Cross R (1998) The sweet spots of a tennis racquet. Sports Eng 1:63–78CrossRefGoogle Scholar
  14. 14.
    Cross R (2004) Center of percussion of hand-held instruments. Am J Phys 72:622–630CrossRefGoogle Scholar
  15. 15.
    Brody H (1997) The physics of tennis. III. The ball-racket interaction. Am J Phys 65:981–987CrossRefGoogle Scholar
  16. 16.
    Andersen MS, Damsgaard M, Rasmussen J (2008) Kinematic analysis of over-determinate biomechanical systems. Comput Methods Biomech Biomed Eng 12:371–384CrossRefGoogle Scholar
  17. 17.
    Slater C, Betzler N, Otto SR, Strangwood M (2009) The static and dynamic behaviour of carbon fibre composites used in golf club shafts. In: Alam F, Smith LV, Subic A, Fuss FK, Ujihashi S (eds) Proceedings of the 4th Asia Pacific congress on sports technology. RMIT University, Melbourne, pp 317–322Google Scholar
  18. 18.
    Rao SS (2004) Mechanical vibrations, 4th edn. Pearson Prentice Hall, Upper Saddle RiverGoogle Scholar

Copyright information

© International Sports Engineering Association 2010

Authors and Affiliations

  • Maxine Kwan
    • 1
  • Ching-Lung Cheng
    • 2
  • Wen-Tzu Tang
    • 2
  • John Rasmussen
    • 1
  1. 1.Department of Mechanical EngineeringAalborg UniversityAalborg EastDenmark
  2. 2.Graduate Institute of Coaching Science National Taiwan Sport UniversityTaoyuanTaiwan, ROC

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