非线性保守摆的研究  

Research on Non-linear Conservative Physical Pendulum

作　　者：郑冕[1] 李亮[1] ZHENG Mian;LI Liang

机构地区：[1]辽宁工业大学理学院,辽宁锦州121001

出　　处：《科技创新与应用》2019年第14期23-25,共3页Technology Innovation and Application

摘　　要：文章采用Jacobi椭圆函数描述保守摆动系统的非线性运动学方程,研究了非线性摆的角位移随时间及振幅的变化,计算了不同振幅对应的振动周期,并同实验结果进行比较,发现理论值和实验值符一致。同时用大振幅摆的周期间接测量了重力加速度,测量结果与重力加速度的精确结果 9.8m/s^2符合得很好。In this paper,Jacobi functions were used to describe the nonlinear vibrations of the conservative pendulum and the variation of the angular displacement with time and amplitudes was studied theoretically.The periods under different angular amplitudes were calculated and theoretical results agree with experimental values.Finally,this nonlinear pendulum was used to measure the gravitational acceleration,and the experimental results are in good agreement with the accurate value 9.8m/s^2.

关 键 词：非线性 复摆 重力加速度 

分 类 号：O314[理学—一般力学与力学基础]