韦氏摆运动机理及关键调控因素的研究

The Research of Different Parameters on the Motion of Wilberforce Pendulum

韦氏摆的上下振动和水平扭转运动之间存在耦合作用,可以发生明显的能量传递现象,且当系统达到共振后,摆锤将会产生周期性的振动和扭动。本文从本质上解释了韦氏摆振动传递现象,构建了韦氏摆运动的理论模型与描述方法,解得了韦氏摆竖直运动和水平运动的理论轨迹,并通过大量的实验和定量的仿真模拟验证了理论模型与求解方法的正确性。进一步探究了韦氏摆模型的应用范围,研究了弹簧的弹性系数、摆锤的质量和大小、运动初始条件对韦氏摆运动的影响,建立了一套可以定量测量的物理跟踪方法,为更好设计韦氏摆的实验器材提供了实验与理论依据。

There is a coupling between the up and down vibration and horizontal torsion of the Wilberforce Pendulum,which can cause obvious energy transfer.When the system reaches resonance,the pendulum will vibrate and twist periodically.This project essentially explained the vibration transmission phenomenon of the Wilberforce Pendulum,constructed the theoretical model and description method of the Wilberforce Pendulum motion,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 been verified.Further exploration is to the application range of the Wilberforce Pendulum model.The effect of the elastic coefficient of the spring,the mass and size of the pendulum and the initial motion conditions on the motion of the Wilberforce Pendulum is studied.Based on this,a set of physical tracking methods that can be quantitatively measured is established,which provides an experimental and theoretical basis for better design of the experimental equipment of the Wilberforce Pendulum.