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  HomeContents of Chinese Journal of Mechanical Engineering (English Edition),1996 No.1STUDY ON LOWER ORDER HARMONIC RESONANCE OF ELASTIC LINKAGES—SUPERHARMONIC RESONANCES
STUDY ON LOWER ORDER HARMONIC

RESONANC OF ELASTIC LINKAGES—

SUPERHARMONIC RESONANCES

 

Wang Yuxin  Zhang Ce
Tianjin University
Yang Chuanmin

Tianjin University of Commerce

 

Abstract: The superharmonic resonances of elastic linkages are studied by using the method of multiple scales under the excitation of its inertial force. The analyses demonstrate that the superharmonic resonances caused by the quadratic and cubic nonlinearities due to large elastic deformations of the flexible links and multi-frequencies of the inertial force of linkages are the reason to produce the critical speeds. The results of explaining of the lower order harmonic resonances by "1/n" method are verified theoretically.

Key words: Elastic linkages  Harmonic resonance  Superharmonic resonance  Method of multiple scales


Manuscript received on January 18, 1995

 

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