Magneto-Elastic Combination Resonance of Rotating Circular Plate with Varying Speed Under Alternating Load
作者： Hu Yuda , Li Zhe , Du Guojun , Wang Yanan
DOI: 10.1142/S0219455418500323
关键词:
摘要: Nonlinear magneto-elastic combined resonance of parametric and forced excitations is investigated for a rotating circular plate with a variable speed under alternating load. According to the magneto-elastic vibration equations of a conductive rotating thin circular plate, the axisymmetric vibration differential equations of the rotating circular plate under transverse magnetic field are obtained through the application of the Galerkin integral method. The method of multiple scales is applied to solve the differential equations of the circular plate under alternating magnetic field, and the resonance states of the system under combined parametric and forced excitations are obtained by analyzing secular terms. The respective amplitude–frequency response equations are also derived, as well as the necessary and sufficient conditions of the system to make it stable. A numerical method is adopted to acquire amplitude–frequency response curves, bifurcation diagrams of amplitude and the variation pattern of amplitude with magnetic induction intensity and radial force. The influence of parameter variation on stability of the system is also investigated. Based on the global bifurcation diagram of the system, the influence of the change of bifurcation parameters on the system dynamics is discussed.
sci-hub.se 参考文章(20)
Ferhat Bekhoucha, Saïd Rechak, Laëtitia Duigou, Jean-Marc Cadou, Nonlinear Forced Vibrations of Rotating Composite Beams with Internal Combination Resonance Springer, Berlin, Heidelberg. pp. 159- 166 ,(2013) , 10.1007/978-3-642-37143-1_20
Yu-da Hu, Jin-zhi Zhang, Principal parametric resonance of axially accelerating rectangular thin plate in magnetic field Applied Mathematics and Mechanics-english Edition. ,vol. 34, pp. 1405- 1420 ,(2013) , 10.1007/S10483-013-1755-8
Mousa Rezaee, Reza Jahangiri, Nonlinear and chaotic vibration and stability analysis of an aero-elastic piezoelectric FG plate under parametric and primary excitations Journal of Sound and Vibration. ,vol. 344, pp. 277- 296 ,(2015) , 10.1016/J.JSV.2015.01.025
Roshan Lal, Neha Ahlawat, Axisymmetric vibrations and buckling analysis of functionally graded circular plates via differential transform method European Journal of Mechanics A-solids. ,vol. 52, pp. 85- 94 ,(2015) , 10.1016/J.EUROMECHSOL.2015.02.004
M. Shahgholi, S.E. Khadem, Primary and parametric resonances of asymmetrical rotating shafts with stretching nonlinearity Mechanism and Machine Theory. ,vol. 51, pp. 131- 144 ,(2012) , 10.1016/J.MECHMACHTHEORY.2011.12.012
G.Y. Baghdasaryan, Z.N. Danoyan, M.A. Mikilyan, Issues of dynamics of conductive plate in a longitudinal magnetic field International Journal of Solids and Structures. ,vol. 50, pp. 3339- 3345 ,(2013) , 10.1016/J.IJSOLSTR.2013.06.003
Xiaojing Zheng, Jianping Zhang, Youhe Zhou, Dynamic stability of a cantilever conductive plate in transverse impulsive magnetic field International Journal of Solids and Structures. ,vol. 42, pp. 2417- 2430 ,(2005) , 10.1016/J.IJSOLSTR.2004.09.016
Morteza Sadeghi, Vahideh Ansari Hosseinzadeh, Parametric excitation of a thin ring under time-varying initial stress; theoretical and numerical analysis Nonlinear Dynamics. ,vol. 74, pp. 733- 743 ,(2013) , 10.1007/S11071-013-1001-X
Hu Yuda, Li Jing, None, The magneto-elastic subharmonic resonance of current-conducting thin plate in magnetic filed Journal of Sound and Vibration. ,vol. 319, pp. 1107- 1120 ,(2009) , 10.1016/J.JSV.2008.06.016
Hu Yuda, Hu Peng, Zhang Jinzhi, Strongly Nonlinear Subharmonic Resonance and Chaotic Motion of Axially Moving Thin Plate in Magnetic Field Journal of Computational and Nonlinear Dynamics. ,vol. 10, pp. 021010- ,(2015) , 10.1115/1.4027490