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.

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

杨志安¹, 邱家俊¹, 李骊²

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

收稿日期:1996-05-17 修回日期:1997-10-13 出版日期:1998-06-18 发布日期:1998-06-18
基金资助:
Project supported by the National Natural Science Foundation of China

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

摘要/Abstract

摘要： 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.

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

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

杨志安;邱家俊;李骊. A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF A PRIMARY RESONANCE OF A THREE CIRCULAR PLATES TORSION VIBRATION SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(6): 539-546.

Yang Zhian;Qiu Jiajun;Li Li. A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF A PRIMARY RESONANCE OF A THREE CIRCULAR PLATES TORSION VIBRATION SYSTEM[J]. 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

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

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