Analysis of Steady Collision Vibration in Simply-Supported-Beam Having an Attached Mass with Restoring Force of Hysteresis Loops

Abstract

This paper deals with the collision vibration in continuous system excited by periodic displacement with arbitrary functions. The analytical model is steady collision vibration in simply-supported-beam having an attached mass which collides elastically to symmetric faces with restoring force of hysteresis loops. In order to clarify the main resonance of the system subjected to excitation by displacement, the resulting vibration is analyzed applying the Fourier series method for this system. Following this theoretical analysis, the numerical calculations are also performed, and the resonance curves are constructed 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 as an example of numerical results.