120 Steady Collision Vibration in Spring-Mass-System for Two-Degree-of-Freedom Excited by Periodic Force with Arbitrary Functions : The Response Analysis for Harmonic, Superharmonic and Subharmonic Resonance

Abstract

This paper deals with collision vibration in a mass-spring-system for two-degree-of-freedom excited by periodic force with arbitrary functions. The analytical model is steady collision vibration having two masses which one mass is subjected to an exciting vibration, and the elastic collision is done to another mass when amplitude of the mass exceeds than the clearance between upper mass and lower mass. Then the restitution force is assumed to be characteristics of an unsymmetric piecewise-linear system. In order to analyze the resulting vibration for harmonic, superharmonic and subharmonic resonances, the Fourier series method is applied to obtain an exact solution for resulting vibration. Next, following the theoretical analysis, the numerical calculations are performed to obtain the resonance curves. The numerical results show effects of the stiffness of clamped spring and the mass ratio on the resonance curves.