Analysis of Vibro-Impact Processes of a Single-Mass System with Viscous Damping and a Single Limiter

Abstract

SummaryThe paper presents an analysis of the horizontal straight-line motion of a single-mass, one-sided vibro-impact system in the cases when the external coercive force and the viscous damping force are known and a periodic vibro-impact mode is realized in the system. Vibroimpact systems represent the basis of industrial machinery. Periodic motion modes, realized as forced damped oscillations, are characteristic of these systems. Due to the variety of vibroimpact systems, there are various computing methods used for the analysis and description of processes in vibro-impact systems. The process of obtaining results is, generally, very complex and time-consuming because there is a need of using linear differential equations in computing. The aim of the analysis presented in this paper is to determine the areas of the periodic vibro-impact mode existence.