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Year : 2012  |  Volume : 2  |  Issue : 1  |  Page : 7-12

Stability Analysis of Mode Coupling Vibration Systems with Coulomb Friction

School of Mechanical Engineering, Xi'an University of Technology, Xi'an, China

Correspondence Address:
Lilan Liu
School of Mechanical Engineering, Xi'an University of Technology, Xi'an
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Source of Support: None, Conflict of Interest: None

DOI: 10.4103/0976-8580.93230

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In the article, the stability analysis of mode coupling systems with Coulomb friction is performed. A two-degree-of-freedom (2-DOF) vibration system with Coulomb friction is constructed. Taking the friction coefficient as a bifurcation parameter, a Hopf bifurcation graph is obtained using the Routh criterion. It is illustrated that Coulomb friction can induce self-excited oscillation in the mode coupling system. The analytic expressions of the limit cycle amplitudes of the oscillation system are achieved based on the extended harmonic balance method. Moreover, the effects of some parameters on the size of limit cycles are investigated. All the research method and results presented can provide a valuable reference for the structure optimal design of mechanical systems and vibration reduction.

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