三圆盘扭振系统主共振的理论与实验研究<sup>*</sup>

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三圆盘扭振系统主共振的理论与实验研究^*

基金项目: * 国家自然科学基金资助项目(19672041)

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

摘要: 本文应用非线性振动的平均法,分析了一个具有立方非线性并受简谐激励作用的三圆盘扭振系统的第二阶主共振,求得了稳态响应的分岔方程,并进行了奇异性分析,理论结果与实验结果相符.
- 三圆盘扭振系统 /
- 平均法 /
- 主共振 /
- 奇异性理论 /
- 跳跃现象
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

[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.

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