ばね剛性0の衝突振動系における周期解 : 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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In the previous papar, we have proposed a feedback superposition method to nonlinear vibration system whereby exact determination of the functional structure for periodic solution can be realized. Meanwhile, regarding a specific nonlinear system having no stiffness such as a stiffness-free impact oscillator, we have to analyze unconverged functional series. In order to solve this problem, we propose in this paper an advanced superposition method by applying Cesaro's summation technique. Through this approach, we can obtain fundamental periodic solution for the stiffness-free impact oscillator. This symmetric solution can be explicitly represented for the functional structure which has not been available by former approach such as the patching solution method. Finaly, we found that the impact oscillator system can be evaluated in terms of (C. 1) summation to the viscousdamped system and (C.2) summation to the undamped system, respectively.
一般社団法人日本機械学会の論文
2004-02-25