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The Research of Different Parameters on theMotion of Wilberforce Pendulum
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LU Xinran,ZHANG Meng,MA Li,WANG Biao
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Abstract
There is a coupling between the up and down vibration and horizontal torsion of the WilberforcePendulum,which can cause obvious energy transfer. When the system reaches resonance, the pendulum willvibrate and twist periodically.This project essentially explained the vibration transmission phenomenon of theWilberforce Pendulum ,constructed the theoretical model and description method of the Wilberforce Pendulummotion ,and solved the theoretical trajectory of the vertical and horizontal motion of the Wilberforce Pendulum.Through a large number of experiments and quantitative simulations , the correctness of the theory has beenverified.Further exploration is to the application range of the Wilberforce Pendulum model.The effect of theelastic coefficient of the spring,the mass and size of the pendulum and the initial motion conditions on themotion of the Wilberforce Pendulum is studied.Based on this ,a set of physical tracking methods that can bequantitatively measured is established,which provides an experimental and theoretical basis for better design ofthe experimental equipment of the Wilberforce Pendulum.
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Published: 25 October 2022
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