首页> 中文期刊> 《重庆文理学院学报(自然科学版)》 >无阻力任意摆角下配重复摆振动的数值研究

无阻力任意摆角下配重复摆振动的数值研究

         

摘要

From the non-linear differential equation of oscillation,the vibration and the corresponding period of weighted physical pendulum numerically were investigated by Mathematica under conditions of different swing angles and weight positions.The relation between the period and angular amplitude were discussed by fitting when the positions of suspension point and weight are fixed,and the fitting period function of weighted physical pendulum at any swing angle with the numerical period was compared.%从振动的非线性微分方程出发,采用Mathematica数值模拟不同摆角与配重位置下配重复摆的运动过程并得到其周期.当悬挂点和配重的位置固定时,数值研究配重复摆的周期与角振幅的拟合关系,得到任意摆角配重复摆的周期拟合公式,通过计算得出拟合周期并将之与数值周期进行比较.

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