RESEARCH IN STABILITY OF PERIODIC MOTION,BIFURCATION AND CHAOS IN A VIBRATORY SYSTEM WITH A CLEARANCE |
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| Authors: | Luo Guanwei |
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| Institution: | (1) Department of Mechanical Engineering, Lanzhou Jiaotong University, 730070 Lanzhou, China;(2) Department of Engineering Mechanics, Southwest Jiaotong University, 610031 Chengdu, China |
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| Abstract: | A two-degrees-of-freedom vibratory system with a clearance or gap is under consideration based on the Poincar\ {e} map. Stability and local bifurcation of the period-one double-impact symmetrical motion of the system are analyzed by using the equation of map. The routes from periodic impact motions to chaos, via pitchfork bifurcation, period-doubling bifurcation and grazing bifurcation, are studied by numerical simulation. Under suitable system parameter conditions, Neimark-Sacker bifurcations associated with periodic impact motion can occur in the two-degrees-of-freedom vibro-impact system. |
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| Keywords: | clearance vibro-impact stability bifurcation chaos |
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