A Theoretical and Experimental Investigation of a Primary Resonance of a Three Circular Plates Torsion Vibration SystemGH

Yang Zhian; Qiu Jiajun; Li Li

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(6): 505-511

Yang Zhian, Qiu Jiajun, Li Li. A Theoretical and Experimental Investigation of a Primary Resonance of a Three Circular Plates Torsion Vibration SystemGH[J]. Applied Mathematics and Mechanics, 1998, 19(6): 505-511.

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A Theoretical and Experimental Investigation of a Primary Resonance of a Three Circular Plates Torsion Vibration SystemGH

1.
Department of Mechanics and Engineering Measurement, Tianjin University, Tianjin 300072, P. R. China;
2.
Basic Science Department, Beijing Polytechnic University, Beijing 100022, P. R. China

Received Date: 1996-05-17
Rev Recd Date: 1997-10-13
Publish Date: 1998-06-15

Abstract

Abstract

The method of averaging is applied in this paper to deal with a primary resonance of a three circular plates torsion vibration system having cubic nonlinearities which is excited by a simple-harmonic excitation. Bifurcation equation of the steady state response is obtained and its singularity analysis is given. The results of theoretical analysis are shown to be in good agreement with experimental ones.
- three circular plates torsion vibration,
- method of averaging,
- primary resonance,
- singu-larity theory,
- jump

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References(3)

References

[1]	邱家俊,机电分析动力学,科学出版社,北京(1992),21-55.
[2]	A.H.Nayfeh and D.T.Mook,Non linear Oscillations,Wilely-Interscience,New York(1979),214-253.
[3]	M.Golubisky and D.G.Schaeffer,Singularities and Groupsin Bifurcation Theory,Vol.1,Springer-Velag,New York(1985),206-284.