C31 多自由度非線形振動系に対する楕円型平均法について(OS13 機械における非線形振動1)

概要

論文の詳細を見る
The averaging method of elliptic type is proposed in order to obtain accurate periodic solutions for a nonlinear oscillator with multi-degree-of-freedom with harmonic excitation and damping. Sum of Elliptic Jacobian cosine and sine function is incorporated as the generating solution of averaging method. The stability analysis for the approximate solution obtained by the present method is also discussed. The numerical results for typical nonlinear oscillators with two and three -degree-of freedom systems are shown. The efficiency of the proposed method is illustrated by comparing its computational results with those obtained by the shooting method. It is confirmed that the present method is effective to analyze nonlinear oscillator with Multi-degree-of Freedom System
一般社団法人日本機械学会の論文
2009-09-01