大学物理 ›› 2016, Vol. 35 ›› Issue (1): 11-11.

• 著者文摘 • 上一篇    下一篇

单摆的超大振幅振动

王成会;莫润阳;边小兵   

  1. 陕西师范大学物理学与信息技术学院,陕西西安710062
  • 出版日期:2016-01-25 发布日期:2016-07-19

Oscillation of a simple pendulum with extremely large amplitude

  • Online:2016-01-25 Published:2016-07-19

摘要: 基于单摆的动力学方程和运动初始条件对单摆的大振幅振动进行了近似分析,介绍了一种估计摆振幅接近π的振动周期的解析方法.结果表明,当摆振幅小于2.8 rad时估计值偏离精确值较多,产生误差的原因在于采用了线性近似.

关键词: 单摆, 大振幅振动, 周期

Abstract: Based on the dynamical equations and the initial conditions, the oscillation of a simple pendulum with large amplitude is analyzed approximately. A method is introduced to estimate the period of a simple pendulum with an extremely large amplitude whose value is approaching π. The results show that the deviation between the ex- act value and estimated value of the period increases with the decrease of the oscillation amplitude. The linear ap- proximation leads to the increment of the errors.

Key words: simple pendulum, large amplitude oscillation, period

中图分类号: 

  • O313