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The Approximate Solution of Nonlinear Vibration of Tennis Based on Nonlinear Vibration Differential Equation
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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.
Title: The Approximate Solution of Nonlinear Vibration of Tennis Based on Nonlinear Vibration Differential Equation
Description:
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.
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