大学物理 ›› 2017, Vol. 36 ›› Issue (4): 15-16.doi: 10.16854 /j.cnki.1000-0712.2017.04.004

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对称非线性弹簧振子的振动周期的级数解

王树平   

  1. 河北建筑工程学院数理系,河北张家口075000
  • 出版日期:2017-04-20 发布日期:2017-04-20

The series solution of oscillation period of a symmetric nonlinear oscillator

WANG Shu-ping   

  1. Department of Mathematics and Physics,Hebei Institute of Architecture Engineering,Zhangjiakou,Hebei 075000,China
  • Online:2017-04-20 Published:2017-04-20

摘要: 用积分法求出了对称非线性水平弹簧振子的振动周期的级数解,并对所得结果进行讨论,得到了线形弹簧振子的 振动周期以及x3 振荡器的振荡周期.

关键词: 非线性, 弹簧振子, 振动周期, 积分法, 级数解

Abstract: The series solution of oscillation period of a symmetric nonlinear oscillator is derived by using the integral method.Then the vibration period of linear oscillator and oscillating period of the x3 oscillator are obtained and the results obtained are discussed.