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.
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References
Qiu Jiajun,Mechanical and Electrical Analytical Dynamics, Science Press, Beijing (1992). 21–55, (in Chinese)
A. H. Nayfeh and D. T. Mook,Nonlinear Oscillations, Wiely-Interscience, New York (1979), 214–253.
M. Golubisky and D. G. Schaeffer,Singularities and Groups in Bifurcation Theory, Vol. 1, Springer-Verlag, New York (1985), 206–284.
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Project supported by the National Natural Science Foundation of China
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Zhian, Y., Jiajun, Q. & Li, L. A theoretical and experimental investigation of a primary resonance of a three circular plates torsion vibration system. Appl Math Mech 19, 539–546 (1998). https://doi.org/10.1007/BF02453409
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DOI: https://doi.org/10.1007/BF02453409