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1報,調和共振,高調波共振および分数調波共振における応答振動解析(機械力学,計測,自動制御)

Abstract

This paper deals with response vibration in single-degree-of-freedom excited by periodic displacement with arbitrary functions. The analytical model is steady collision vibration in spring-mass system with viscous damping. When the system is subjected to an exciting vibration by displacement and amplitude of the mass increases farther than collision clearance, the mass collides elastically to clamped spring. Then, the restitution force of the mass is assumed an asymmetric piecewise-linear system. In order to clarify harmonic, superharmonic and subharmonic resonances of the collision system, the resulting vibrations are analyzed extending the Fourier series method which is proposed by authors. Following this theoretical analysis, the numerical calculations are performed and the resonance curves are constructed using the resulting vibrations. The numerical results show effects on the damping ratio, the stiffness of clamped spring and the amplitude of forced vibration for resonance curves. Experiments are also carried out to verify the theoretical results. Comparing the theoretical results with the experimental ones, it is shown that they show a fairy good agreement.