College Physics ›› 2021, Vol. 40 ›› Issue (01): 17-20.doi: 10.16854 /j.cnki.1000-0712.180157

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

HAO Ji-guang1,HUANG Yi-bin2   

  1. 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:2018-03-10 Revised:2020-08-27 Online:2021-01-07 Published:2021-01-07

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