Steady Impact Vibration of Continuous Elements : Case of Colliding Once in a Half Cycle

Abstract

This paper deals with the nonlinear vibration problem concerning mechanical equipment-piping system in nuclear power plants and others. A simplified dynamical model of these systems consists of an elastic beam with one end fixed and the other end supported by a piecewise-linear spring with clearance and hysteretic damping. Analytical methods of exact and approximate solutions are introduced for the model as a continuous system with nonlinear boundary conditions, and some numerical examples are shown. Finally some numerical results obtained from exact solutions are compared with those from approximate solutions.