不連続な区分線形特性を有する質量・ダンパー系の強制振動における周期解

初期値補正拡張法による対称基本周期解の導出

抄録

A new analytical method to find the exact solution to lumped mass discontinuous piecewise linear system having no spring stiffness is proposed. In this study, we apply the pseudo feedback superposition method in order to determine the exact functional form of the summation of the infinite number of pseudo-feedback responses appearing derivation process of the fundamental symmetric periodic solution. First, for this stiffness-free discontinuous piecewise linear system, we assume the solution facing towards the future. Under this assumption, we have to evaluate unfavorable two terms; “trend” term and “offset” term which lead to failure of periodicity and symmetricity among the solution. Second, we propose an alternative method to derive corrected terms based on the evaluation of only finite terms summation. Solution calculated through the approach can be indentical to that through Cesàro's summation approach reported in the previous paper.