一般周期励振を受ける非対称断片線形系の強制振動 : 主共振および高調波共振における応答振動と安定判別解析(機械力学,計測,自動制御)

概要

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In the previous paper, the forced vibration in an unsymmetric piecewise-linear system excited by general periodic force functions is analyzed, and some resonance curves for the harmonic and the superharmonic resonances are shown by numerical calculation. This paper deals with the stability analysis of these forced vibrations for the harmonic and the superharmonic vibrations in piecewise-linear systems without damping, and gives a stability criterion for periodic solutions utilizing calculus of variations. The stability charts for response vibrations are constructed. The stability criterion for periodic solutions on steady vibration is discussed utilizing their charts. By using these charts, the stable branches for the resonance curves obtained in the previous papers are distinguished from the unstable ones. And comparing the theoretical results with the analog results obtained by an analog computer, it is shown that they show a fairly good agreement.
社団法人日本機械学会の論文
2008-07-25