738 区分線形振動系の定常応答の一般形(解析方法・衝突)(OS.13 : 非線形現象の解明と応用)

概要

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In this paper, we gave the definition of the steady response for piecewise linear systems, and proposed exact derivation method of general form of global functional structure for steady response. Firstly, we reconsider steady response of linear system, and it was shown that "steady-ness" and "boundedness" of linear system are equivalent notion. Secondly, we gave definition the steady response of piecewise linear systems as bounded solution that invariant reachable resion. According to this definition, it was shown that steady response transverse to the region boundary in which separate each reachable regions infinite times. Moreover, we decompose the function conposed by the "response difference summation form" that is one of the global representation of general solution for piecewise linear systems into two parts which is bounded and unbounded parts in relation to summation for both of positive and negative time direction. By means of devise the summation method for these two parts, it was shown that the global functional form of steady response are derived with parameters of region boundary crossing times.
一般社団法人日本機械学会の論文
2001-08-03