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 : Cesaroの総和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 calculation technique is proposed for getting symmetric fundamental periodic solution 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 superposition method which was formerly proposed can not be applied to this particular oscillator. Then, an improved calculation technique for getting the periodic pseudo-feedback response is newly proposed whereby converged infinite series and unconverged infinite series can be separated. According to this improvement, 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
2004-03-25