The series expressions of relations between period and amplitude
and energy for nonlinear vibration

HAO Ji-guang, HUANG Yi-bin

doi:10.16854 /j.cnki.1000-0712.180157

College Physics >

2021 , Vol. 40 >Issue 01: 17 - 20

DOI: https://doi.org/10.16854 /j.cnki.1000-0712.180157

The series expressions of relations between period and amplitude and energy for nonlinear vibration

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1. The First Middle School of Wanli，Nanchang，Jiangxi，330004，China; 2. College of Physics and Communication Electronics，Jiangxi Normal University，Nanchang，Jiangxi 330022，China

Received date: 2018-03-10

Revised date: 2020-08-27

Online published: 2021-01-07

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Abstract

The series expressions of relations between period and amplitude and energy are discussed for general one-dimensional nonlinear vibration，and solutions up to the fourth order are obtained. They are checked by the rigorous solution of two examples，i.e.，simple pendulum and central force.

Key words： nonlinear vibration; period; amplitude; energy; series

Cite this article

HAO Ji-guang, HUANG Yi-bin . The series expressions of relations between period and amplitude and energy for nonlinear vibration[J]. College Physics, 2021 , 40(01) : 17 -20 . DOI: 10.16854 /j.cnki.1000-0712.180157

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