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Sports Engineering

, Volume 12, Issue 4, pp 213–213 | Cite as

Erratum to: Measurement of badminton racket deflection during a stroke

  • Maxine Kwan
  • Ching-Lung Cheng
  • Wen-Tzu Tang
  • John Rasmussen
Erratum
  • 760 Downloads

1 Erratum to: Sports Eng (2010) 12:143–153 DOI 10.1007/s12283-010-0040-5

Due to a processing error, the presentation of Eqs. 68, 14, and 16 was incorrect. The correct versions are given below:
$$ W_{n} (x) = { \sin }\,\beta_{n} x - { \sinh }\,\beta_{n} x - \alpha_{n} ({ \cos }\,\beta_{n} x - { \cosh }\,\beta_{n} x) $$
(6)
$$ { \cos }\,\beta_{n} L \cdot { \cosh }\,\beta_{n} L = - 1 $$
(7)
$$ \alpha_{n} = {\frac{{{ \sin }\,\beta_{n} L + { \sinh }\,\beta_{n} L}}{{{ \cos }\,\beta_{n} L + { \cosh }\,\beta_{n} L}}} $$
(8)
$$ W^{\prime\prime}_{n} (x) = - \beta_{n}^{2} ({ \sin }\,\beta_{n} x + { \sinh }\,\beta_{n} x - \alpha_{n} ({ \cos }\,\beta_{n} x + { \cosh }\,\beta_{n} x)) $$
(14)
$$ \begin{aligned} \varepsilon (x_{sg} ,t) & = - RW^{\prime\prime}_{n} (x_{sg} ){\frac{{2(\alpha_{n} + \beta_{n} h)}}{{b\omega_{n} \beta_{n}^{2} }}}\int\limits_{0}^{t} {\alpha_{\varepsilon } (\tau )\,{ \sin }\,\omega_{n} (t - \tau )\,{\text{d}}\tau } \\ & = - RW^{\prime\prime}_{n} (x_{sg} )(\alpha_{\varepsilon } * g)(t) \\ \end{aligned} $$
(16)

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 ScienceNational Taiwan Sport UniversityTaoyuanTaiwan, ROC

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