ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Nonlinear Dynamics Analysis of a Continuum Rotor through Generalized Harmonic Balance Method

Journal of Applied Nonlinear Dynamics 5(1) (2016) 1--31 | DOI:10.5890/JAND.2016.03.001

Haiyang Luo$^{1}$,$^{2}$; Yuefang Wang$^{1}$,$^{2}$

$^{1}$ Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China

$^{2}$ State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian 116024, China

Abstract

The dynamics of a continuum rotor system excited by nonlinear oilfilm force and electromagnetic force is investigated through the Generalized Harmonic Balance Method. The governing differential equation of the continuum rotor system is reduced through the Galerkin’s approximation method. Firstly, the motion in Y-direction is considered as the response of a planar continuum rotor. The analytical periodic motion is obtained and the bifurcation and stability is determined. Secondly, the dynamical model of a spatial continuum rotor is studied. The stability and bifurcation of the analytical periodic motion is obtained and compared to numerical results to show the accuracy of the Generalized Harmonic Balance Method.

Acknowledgments

The authors are grateful for supports from Free Exploration Project of State Key Laboratory of Structural Analysis for Industrial Equipment (Grant S14204), Liaoning Provincial Program for Science and Technology (Grants 201303002, 2014028004), and the State Key Development Program for Basic Research of China (Grant 2015CB057300).

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