A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF A PRIMARY RESONANCE OF A THREE CIRCULAR PLATES TORSION VIBRATION SYSTEM

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (6): 539-546.

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A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF A PRIMARY RESONANCE OF A THREE CIRCULAR PLATES TORSION VIBRATION SYSTEM

Yang Zhian¹, Qiu Jiajun¹, Li Li²

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

Received:1996-05-17 Revised:1997-10-13 Online:1998-06-18 Published:1998-06-18
Supported by:
Project supported by the National Natural Science Foundation of China

Abstract

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 is obtained and its singularity, analysis is given. The results of theoreticalanalysis are shown to be in good agreement with experimental ones.

Key words: three circular plates torsion vibration, method of averaging.primary resonance, singularity theory, jump

Yang Zhian;Qiu Jiajun;Li Li. A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF A PRIMARY RESONANCE OF A THREE CIRCULAR PLATES TORSION VIBRATION SYSTEM. Applied Mathematics and Mechanics (English Edition), 1998, 19(6): 539-546.

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A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF A PRIMARY RESONANCE OF A THREE CIRCULAR PLATES TORSION VIBRATION SYSTEM

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