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.
作者
郑冕
李亮
ZHENG Mian;LI Liang
出处
《科技创新与应用》
2019年第14期23-25,共3页
Technology Innovation and Application
关键词
非线性
复摆
重力加速度
non-linear
physical pendulum
gravitational acceleration
