Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (8): 957-972.doi: https://doi.org/10.1007/s10483-011-1472-9
• Articles • 下一篇
李军 陈予恕
LI Jun, CHEN Yu-Shu
摘要: A nonlinear model of a low pressure cylinder-generator rotor system is presented to study sub-synchronous resonance and combined resonance. Analytical results are obtained by an averaging method. Transition sets and bifurcation diagrams are obtained based on the singularity theory for the two-state variable system. The bifurcation characteristics are analyzed to provide a basis for the optimal design and fault diagnosis of the rotor system. Finally, the theoretical results are verified with the numerical results.
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