“韦氏摆”振动规律研究  

vibration law of Wilberforce pendulum

作　　者：姜付锦[1] 韩灿 JIANG Fu-jin;HAN Can(Huangpi No.1 High School,Wuhan,Hubei 430300,China;Huangpi No.3 High School,Wuhan,Hubei 430300,China)

机构地区：[1]黄陂区第一中学,湖北武汉430300 [2]黄陂区第三中学,湖北武汉430300

出　　处：《大学物理》2021年第11期15-20,共6页College Physics

基　　金：湖北省教育学会教师教育专业委员会2020年课题(HBJSJY2020-027)资助。

摘　　要：本文先根据韦氏摆振动特点猜想其一种可能的振动模型,再由这种模型写出韦氏摆的动力学微分方程组,然后求解出振动的简正频率和振动的解析解,最后对解析解进行数值模拟并与实验数据进行比对,证明了猜想的合理性.In this paper,a possible vibration model is conjectured according to the vibration characteristics of Wilberforce pendulum.Based on this model,the dynamic differential equations of Wilberforce pendulum are written out.Then the normal frequency and the analytical solution of the vibration are obtained.Finally,the numerical simulation of the analytical solution is carried out and compared with the experimental data,which proves the rationality of the conjecture.

关 键 词：韦氏摆 简正频率 耦合因子 数值模拟 

分 类 号：O326[理学—一般力学与力学基础]