Dynamics Analysis of Vibro-impact System with Double-frequency Excitation and Clearance
The paper mainly studies a kind of single-degree impacting dynamical model with double-frequency excitation,establishes the equation of vibro-impact with double-frequency.The Poincaré map of system is estab-lished to deduce the Jacobian matrix and the corresponding eigenvalues.It also studies the influence of the single-frequency change to periodic motion.And under a certain ratio of frequency,it studies the influence of frequency and clearance to the periodic distribution.The paper further uses the eigenvalues to study the phenomenon of peri-odic motion,bifurcation,rubbing edge and chaotic motion,and analyzes the characteristics of the bifurcation points through the Poincare map diagram and the phase diagram.
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