威尔伯福斯摆的耦合运动机理探究

Research on the coupling motion mechanism of Wilberforce pendulum

本文研究了一种将威尔伯福斯摆等效为弹簧振子与扭摆的耦合的理想模型,求解了此模型中的弹簧振子与扭摆的拉格朗日动力学方程,并设计实验与理论模型进行对照验证了模型的合理性.然后根据对照结果对模型进行了修正,提出了一种模拟结果更接近威尔伯福斯摆耦合运动现象的模型,验证了韦氏摆的上下振动和水平扭转之间存在耦合力,从而发生能量传递的猜想.

In this paper,an ideal model that equates Wilberforce pendulum with the coupling of spring oscillator and torsion pendulum is verified.The Lagrange dynamic equation of this model is solved.The rationality of the model is verified by designing an experiment and comparing it with the theoretical model.Then,the model is modified according to the comparison results,and a model of Wilberforce pendulum coupling motion phenomenon with closer simulation results is put forward.It is verified that there is coupling force between the up-and-down vibration and horizontal torsion of Webster pendulum,which leads to the conjecture of energy transfer.