Stability and Bifurcation of a Continuum Rotor with Transverse Electromagnetic and Bearing Excitations
This paper presents the stability and bifurcation of a continuum rotor with transverse electromagnetic and bearing excitations. The rotor system is modeled as continuous beam which is excited by uniformly distributed electromagnetic force and two oil-film forces. Using the Galerkins method, the partial differential equation of nonlinear motion is discretized as second order ordinary differential equations. The harmonic balance method is used to determine the approximate periodic solution, then the Floquet multipliers are obtained and the stability of periodic solution can be judged. The Andronov-Hopf bifurcation is presented when the leading Floquet multiplier continually changing with rotation speed passes the unit circle on the complex plane. Bifurcation diagrams of displacement with varying rotation speed are obtained using the Runge-Kutta method. Periodic motion and quasi-periodic motions appear alternately with the rotation speed showing inherent interaction between electromagnetic force and oil-film forces.
Continuum Rotor Electromagnetic Bearing Stability Bifurcation
Hai Yang Luo Yue Fang Wang
State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian 116024, China Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China
国际会议
上海
英文
439-443
2011-10-21（万方平台首次上网日期，不代表论文的发表时间）