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対称周期解の厳密な大域表現 : Cesaroの総和法によるすべての対称周期解導出への一般化(機械力学,計測,自動制御)

概要

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A new calculation technique is proposed for getting symmetric periodic solutions of the lumped mass discontinuous system to periodic excitation. This system is adopted as a typical piecewise linear oscillator having no stiffness. First, it is pointed out that the feedback super-position method which was formerly proposed by authors can not be directly applied to this zero-stiffness oscillator. In order to overcome this difficulty, an improved calculation method using Cesaro's summation technique for getting the physically meaning value of divergent series appering in pseudo-feedback responses is newly proposed. According to this method, even unconverged series of the periodic pseudo-feedback response become to be evaluated by the Cesaro's (C.2) summation to viscous damped system and those (C.3) summation to undamped system, respectively.
一般社団法人日本機械学会の論文
2005-03-25