2013, Volume 8, Issue 2
Frontiers of Mechanical Engineering >> 2013, Volume 8, Issue 2 doi: 10.1007/s11465-013-0258-6
Nonlinear dynamics and analysis of a four-bar linkage with clearance
1. College of Engineering, Ocean University of China, Qingdao 266100, China
2. Institute for Research in Construction, National Research Council, Regina, SK S4S 7J7, Canada
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Abstract
In this paper, nonlinear dynamic behavior of a four-bar linkage considering clearance is studied. The dynamic model of the linkage with a clearance between coupler and rocker is developed firstly. Then the dynamic equations of this mechanism are solved by a numerical method. According to the calculated response, compliance, force and trajectory of pin in joint bearing are obtained. Effects of clearance magnitude and the relationship between a mechanism with clearance and without clearance are studied. By using Poincare Map, it is proved that strange attractors or chaos exist in the dynamic response. In addition, phenomena of chaos, periodic response and subharmonic response also can be found in the special condition. Bifurcation diagram is used to suggest that bifurcation and fractal phenomena exist in the dynamic response of this mechanism.
Keywords
four-bar linkage ; chaos ; bifurcation ; strange attractors ; dynamics
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