﻿ 一类双约束单自由度碰振系统的擦边运动分析

一类双约束单自由度碰振系统的擦边运动分析The Analysis of Grazing Periodic Motions in a Single Degree of Freedom Vibro-Impact System with Double Constrains

Abstract: The stability of grazing periodic motion in a single degree of freedom vibro-impact system with double constrains is analyzed. The Poincaré mapping near the grazing trajectory is established by using the discontinuity mapping method. And the stability criterion of double grazing periodic motion is obtained. According to the criterion, it is demonstrated that local attractors do not exist near the double grazing trajectory, i.e., the grazing bifurcation is discontinuous. Finally, validity of the theoretical analysis is verified by the numerical results.

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