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力学学报  2004 

A study of destabilizing oscillation in the mechanics and electricity coupling system by dynamical bifurcation method
机电耦联系统失稳振荡的动态分岔研究

Keywords: mechanical and electricity coupling,AC motor,bifurcation,center manifold,perturbation parameter
机电耦联
,交流电机,分岔,中心流形,摄动参数

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Abstract:

Based on mechanical and electrical analytical dynamics,we established equations about vibration coupled with mechanics and electrics in AC motor set.Using the theory of differential dynamic system,destabilizing oscillation of the AC motor's were analyzed with electricity and mechanics coupling.By Center Manifold,theory of stability with multiple parameters and unification technique to analyze the high-codim bifurcation occurring in the system,the Normal Form of the original system is obtained.The bifurcation situation and the stabilization of the bifurcation solution are discussed in detail.In addition,a detailed numerical analysis is made,its results are in agreement with the theoretic results.Also,we got the further result in vibration when AC motor lose its stability.

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