任意変位周期励振を受けるばね-質量系の定常衝突振動 : 第2報,調和共振,高調波共振および分数調波共振における安定判別解析(機械力学,計測,自動制御)

概要

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In the first paper, the forced vibration with collision in an asymmetric piecewise-linear system excited by general periodic force functions was analyzed applying Fourier series method and an exact solution of resulting vibration was proposed. Next, some resonance curves for harmonic, superharmonic and subharmonic vibration were constructed by numerical calculation. This paper deals with Fourier series solutions of the forced vibration for harmonic, superharmonic and subharmonic vibrations in piecewise-linear system analyzed by the first paper and gives stability criterion analysis for their resulting vibrations utilizing variational equation. Following this theoretical analysis, the numerical calculations are performed and the resonance curves are constructed using the resulting vibrations. In the next place, the stability charts for resulting vibrations are also constructed by numerical calculation. The stability criterions for periodic solutions on steady vibration are discussed utilizing their charts. By using them, the stable branches for the resonance curves are distinguished with the unstable ones.
社団法人日本機械学会の論文
2009-06-25