Motion of elastically and damping constrained part on a horizontally vibrating plane

Abstract

Motion of the part on an excited in two perpen-dicular directions horizontal plane, when the part has elas-tic and damping constraints, is analyzed in presented pa-per. Both the mathematical and dynamic models for vibra-tory search, when pressing force of the peg is constant and changes linearly were formed. Using MatLab software the programs for equations solving were written. Motion char-acteristics of the part moving on a circularly excited plane, depending on friction coefficient and both on excitation frequency and amplitude, were determined. Taking into account the sets of parameters 5 zones of motion regimes were defined. Conditions necessary to obtain elliptical tra-jectories of part motion were determined. It was deter-mined, that pressing the peg by changing linearly force the bushing moves by interwinding helix trajectory. The influ-ence of elastic constraints rigidity, excitation amplitude and frequency, pressing velocity of the peg, mass of the bushing and also coefficient of friction between a bushing and a plane on time within which the part stops was inves-tigated. It was determined that interwinding step of the helix increases over the time.