对称非线性弹簧振子的振动周期的级数解

王树平

doi:10.16854 /j.cnki.1000-0712.2017.04.004

大学物理 >

2017 , Vol. 36 >Issue 4: 15 - 16

DOI: https://doi.org/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

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河北建筑工程学院数理系，河北张家口075000

网络出版日期: 2017-04-20

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The series solution of oscillation period of a symmetric nonlinear oscillator

WANG Shu-ping

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Department of Mathematics and Physics，Hebei Institute of Architecture Engineering，Zhangjiakou，Hebei 075000，China

Online published: 2017-04-20

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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

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王树平 . 对称非线性弹簧振子的振动周期的级数解[J]. 大学物理, 2017 , 36(4) : 15 -16 . DOI: 10.16854 /j.cnki.1000-0712.2017.04.004

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.

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