Stability analysis of the ball after contacting with the earth in the volleyball game: A multi-physics simulation

Yang Sun, Yuhan Lin and Yuehong Ma

Abstract

In this work, dynamic stability analysis of the ball after contacting with the earth in the volleyball game is presented. Via spherical shell coordinate, the governing equations and general boundary conditions of the ball after contacting with the earth in the volleyball game is studied. Via Comsol multi-physics simulation, some results are presented and a verification between the outcomes is studied. Harmonic differential quadrature method (HDQM) is utilized to solve the dynamic equations with the aid of boundary nodes of the current spherical shell structure. Finally, the results demonstrated that thickness, mass of the ball and internal pressure of the ball alters the frequency response of the structure. One important results of this study is influence of the internal pressure. Higher internal pressure causes lower frequency and hence reduces the stability of the ball.

Key Words

geometry of the ball; HDQM; higher order theory; spherical shell coordinate; stability analysis

Address

Yang Sun: Educational and Teaching Quality Control Center, Heilongjiang University of Technology, Jixi 158100, Heilongjiang, China; Graduate School, Pai Chai University, Daejeon 35345, Daejeon, Korea Yuhan Lin: College of Physical Education, Sichuan University of Science & Engineering, Zigong 643000, Sichuan, China; Graduate School, Pai Chai University, Daejeon 35345, Daejeon, Korea Yuehong Ma: School of Economics and Management, Heilongjiang University of Technology, Jixi 158100, Heilongjiang, China

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