Periodic Vibration and Impact Characteristics of a Nonlinear System with Collision

抄録

This paper deals with the analytical and the experimental studies to clarify the impact characteristics, such as force of restitution, impulse, a coefficient of restitution and contact time, in the harmonic resonance of a nonlinear system with collision subjected to a sinusoidal excitation. The system consists of an oscillator and reflectors at both sides. The force of restitution is modelized in two manners. One is based on Hertz's theory and represents the exact relations between the impact characteristics and impact velocity. The other is described by an exponential function and is convenient to the analysis of the periodic solution of a three-degree-of-freedom system. Employing both models, the periodic vibration and the impact characteristics in the harmonic resonance of the system are analyzed. Good agreement between analytical and experimental results is obtained for the resonance curves on the impact characteristics as well as that on the amplitude of the oscillator. It is shown by numerical examples that the damping of the reflector has a considerable effect on the impact characteristics.