The rapid series method for solving differential equation of the odd power oscillator
The new rapid series method to solve the differential equation of the periodic vibration of the strongly odd power nonlinear oscillator has been put forward in this paper.By adding the exponentially decaying factor to each harmonic term of the Fourier series of the periodic solution, the high accurate solution can be obtained with a few harmonic terms.The number of truncated terms is determined by the requirement of accuracy.Comparing with other approximate methods, the calculation of rapid series method is very easy and the accurate degrees of solution can be control.By comparing the analytical approximate solutions obtained by this method with numerical solutions of the cubic and fifth power oscillators, it is proven that this method is valid.
odd power oscillator nonlinear vibration rapid series method
Songlin He Yan Huang
Department of asset and equipment management of Kunming University,Kunming,China Department of physics science and technology of Kunming University,Kunming,China
国际会议
上海
英文
138-141
2012-10-19（万方平台首次上网日期，不代表论文的发表时间）