Analysis of Steady Impact Vibration in Continuous System Having an Attached Mass : The Case Where Analytical Model Is Both Ends Supported Beam

Abstract

This paper deals with impact vibrations in continuous system excited by periodic force with arbitrary functions. The analytical model is steady impact vibration in both ends supported beam having an attached mass, which collides elastically to symmetric faces. In order to analyze the main resonance subjected to excitation by displacement, the resulting vibrations are analyzed by applying the Fourier series method to this system. Following these theoretical analyses, numerical calculations are performed, and the resonance curves are made using the resulting vibrations. Effects of the stiffness of clamped spring, the amplitude of excitation and the attached mass ratio on the resonance cure are shown by numerical results. For verification of the analytical method, experiments are performed. The numerical results are in a fairly good agreement with the experimental ones.