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Internal resonance of strongly non-linear autonomous vibrating systems with many degrees of freedom

✍ Scribed by Y.K. Cheung; Z. Xu

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
301 KB
Volume
180
Category
Article
ISSN
0022-460X

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✦ Synopsis

This paper deals with an approximate method of analysis of strongly non-linear autonomous vibrating systems with many degrees of freedom. The approximate equations for amplitude and phase are obtained by a generalized averaging method using the generalized harmonic functions. These functions are also periodic and are exact solutions of strongly non-linear differential equations. The case in which internal resonance may occur can be treated without difficulty. Results of the application of the method to coupled generalized van der Pol oscillators with a strong static non-linearity are shown and compared with other numerical results to demonstrate the validity of the approach.

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