Analysis of Steady Impact Vibration in Continuous System Excited by Periodic Displacement with Arbitrary Function (The Case Where Analytical Model Is Simply-Supported-Beam with an Attached Mass)

Abstract

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