ばね剛性0の衝突振動系における周期解 : 初期値補正拡張法による対称基本周期解の導出(機械力学,計測,自動制御)

概要

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A new analytical method to find the exact solution to nonlinear impact oscillator system having no spring stiffness is proposed. In this study, we apply the pseudo feedback superposition method in order to derive the fundamental form of unconverged periodic fundamental series which inevitably appear through the analysis. First, for this stiffness-free impact oscillator 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 Cesaro's summation approach reported in the previous paper. According to the proposed solving procedure, it is also found that the derivation of the periodic solution calculated through the conventional patching method assures the approval condition to the periodic solution.
一般社団法人日本機械学会の論文
2004-02-25