衝突振動系の周期解の厳密な導出 : 初期値補正周期化法の提案(機械力学,計測,自動制御)

概要

論文の詳細を見る
In this paper, we propose the exact derivation method of all periodic solutions for forced impact oscillator systems, and clarified its mathematical structure. The key idea is to determine initial condition for periodic solution that enable the solution arising any current time to the future or past make periodic. By means of substitute derived initial condition to initial condition of general solution and evaluate it, periodic solution can be globaly represented by superposition of periodic stationary solution of linear system and finite number of periodic functions which is induced from evaluate of infinite summation of periodic pseudo feedback responses in terms of impact nonlinearity. According to comparing this result and our former result that was induced by feedback superposition method, new insigth about mathmatical structure of periodic solutions is derived.
一般社団法人日本機械学会の論文
2004-07-25