<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

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...

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

Published Online: Jul 15, 2022

Page range: 1017 - 1026

Received: Feb 14, 2022

Accepted: Apr 27, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0185

Keywords
Nonlinearity, vibration, Differential equation, Approximate solution, Tennis motion

© 2023 Xiaoqiang Jia, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

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Figure 3

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

Published Online: Jul 15, 2022

Page range: 1017 - 1026

Received: Feb 14, 2022

Accepted: Apr 27, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0185

KeywordsNonlinearity, vibration, Differential equation, Approximate solution, Tennis motion

© 2023 Xiaoqiang Jia, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Figure 3

Keywords
Nonlinearity, vibration, Differential equation, Approximate solution, Tennis motion