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A theoretical and experimental investigation of a primary resonance of a three circular plates torsion vibration system
Authors:Yang Zhian  Qiu Jiajun  Li Li
Affiliation:1. Department of Mechanics and Engineering Measurement, Tianjin University, Tianjin 300072, P. R.China;2. Basic Science Department, Peking Polytechnic University, Beijing 100022, P. R. China
Abstract:
The method of averaging is applied in this paper to deal with a primary resonanceof a three circular plates torsion vibration system having cubic. nonlinearities whieh isexcited by a simple-harmonic excitation. Bifureation equation of the steady stateresponse i3. obtained and its singularity, analysis is given. The results of theoreticalanalysis are shown to be in good agreement with experimental ones.
Keywords:three circular plates torsion vibration   method of averaging.primary resonance   singularity theory   jump
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