THE COMPARISON OF AMONG DIFFERENT NUMERICAL INTEGRATION METHODS ON THE BIOMECHANICS OF SPORT COUNTERMOVEMENT JUMP

  • Tzu-Lin Won
Keywords: Riemann’s sum, support phase, countermovement jump, numerical integration methods

Abstract

The subject of this research is the countermovement jump. Support phase data has been calculated in accordance with criteria set out in Riemann's Sum. Numerical integration methods employed include the Trapezoidal Rule (TR), TR+Simpson Rule (SR), and 3/8R+SR to calculate the error of the surface countermovement value. The subject of this research was a male basketball player, aged 25 years, 180 cm in height, and 80 kg. in weight. Swing-arm countermovement jumps of various force levels were performed a total of ten times. System sampling rate was set at 240Hz with data first passing through a Butterworth low-pass filter set at a cut-off frequency of 50Hz prior to calculating raw time and force values. Data was entered into an editing program written in turbo pascal as well as an Excel database to calculate end values. In terms of countermovement jump values, using the 3/8R+SR formula resulted in the smallest variance among result values, while TR resulted in the largest.