Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 7, Issue 2


Published
on

July 15, 2022


Pages

1017-1026


DOI

Article

The Approximate Solution of Nonlinear Vibration of Tennis Based on Nonlinear Vibration Differential Equation


Authors

Xiaoqiang Jia Affiliation:
Department of sport, Tiangong University, TianJin, 300387, China


Abstract

In this paper, a nonlinear vibration differential equation is established for the moment when a tennis racket hits the ball. At the same time, we deduce the relationship between the tennis racket string tension and the separation time and distance of the hitting speed. Then the article analyzes the vibration equation of the tennis racket damping ball. We use ANSYS finite element analysis software for solid modeling and modal analysis of tennis rackets. The natural frequency of the tennis racket was obtained through the verification results of the experimental modal analysis. A qualitative relationship between the natural frequency of the vibration-absorbing ball system and some parameters was found.


Keywords

Nonlinearity, vibration, Differential equation, Approximate solution, Tennis motion, 34A34


Citation

Jia, X. (2022). The approximate solution of nonlinear vibration of tennis based on nonlinear vibration differential equation. Applied Mathematics and Nonlinear Sciences, 7(2), 1017–1026. https://doi.org/10.2478/amns.2022.2.0185

Published by: Engineering Journals

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