Forced Vibration of Nonlinear System with Symmetrical Piecewise-Linear Characteristics

Abstract

This paper analyzes the steady state response of a single-degree-of-freedom system with clearance and triangular hysteresis loop characteristics which are described by a symmetrical piecewise-linear model. Analytical methods of exact and approximate solutions are introduced for the system, and the resonance curves are obtained for the amplitude versus the frequency ratios with respect to several fixed exciting ratios and system characteristics by those methods utilizing a digital computer. Some numerical results obtained from exact solutions are compared with those from approximate solutions, and these theoretical results are confirmed by analog computer solutions. It is concluded that the approximate solutions are more practical than the exact solutions for a system with low ratios of nonlinear parameters.