強非線形2次ばね系を基盤とする系に対する平均法の高性能化に関する研究(機械力学,計測,自動制御)

概要

論文の詳細を見る
In order to obtain a highly accurate periodic solution for systems based on strongly quadratic nonlinear oscillators, an averaging method improved through the use of the Jacobian elliptic function is proposed. In the improved averaging method, the Jacobian elliptic sine function is incorporated as the generating solution. The stability criterion for the approximate solutions obtained by this method is also presented. The proposed method is then applied to several different typical nonlinear oscillators. The efficiency of the proposed method is demonstrated by comparing the computational results with those obtained by the shooting method and the conventional averaging method. It is confirmed that the proposed method provides a more accurate solution than the conventional averaging method, which uses a trigonometric function as the generating solution.
一般社団法人日本機械学会の論文
2005-01-25