1/2 SUBHARMONIC RESONANCE OF A SHAFT WITH UNSYMMETRICAL STIFFNESS

查看全文 作　　者：Xiao XiwuYang Shuzi Huang YuyingDepartment of Mechanics,Huazhong University of Scienceand Technology,Wuhan 430074, China

出　　处：《Chinese Journal of Mechanical Engineering》索引2003年第16卷第1期,共4页

基　　金：This project is supported by National Key Project of China(No.PD9521901). 摘　　要：The 1/2 subharmonic resonance of a shaft with unsymmetrical stiffness is studied By means of the Hamilton's principle the nonlinear differential equations of motion of the rotating shatf are derived in the rotaing rectangular coordinate system,Transforming the equations of motion from rotating coordinate system into stationary coordinate system and introducing a complex variable,the equation of motion in complex variable form is obtaion system under parametric excitation ,By applying the method of multiple scales(MMS) the averaged equation,the bifurcating response equations and local bifurcating set are obtained,Via the theory of singularity,the stability of constant solutions is analyzed and bifurcaing response curves are obtained This study shows that the rotaing shaft has rich bifurcation phenomena. 关键词：谐振非对称刚性轴 MMS 稳定性

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1/2 SUBHARMONIC RESONANCE OF A SHAFT WITH UNSYMMETRICAL STIFFNESS

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