Internal resonance in a nonlinear multi-degree-of-freedom vibratory system when its natural frequencies satisfy the condition p subscript 1 plus p subscript 2 = p subscript 3 or 2 p subscript 1 plus p subscript 2 = p subscript 3

The characteristics of oscillations induced in a nonlinear vibratory system whose natural frequencies are not in the ratios of prime integers and yet satisfy the condition of internal resonance are discussed via a typical example. The example used is a three degree-of-freedom system which is subject...

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Bibliographic Details
Published in:Bulletin of the JSME 1986-10, Vol.29 (256), p.3468-3475
Main Authors: Yasuda, K, Yamamoto, T, Kato, M
Format: Article
Language:English
Online Access:Get full text
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Summary:The characteristics of oscillations induced in a nonlinear vibratory system whose natural frequencies are not in the ratios of prime integers and yet satisfy the condition of internal resonance are discussed via a typical example. The example used is a three degree-of-freedom system which is subjected to harmonic excitation. The characteristics of oscillations induced in the system near primary as well as secondary resonance points are examined. The harmonic balance method is employed for analysis. The validity of the obtained results is confirmed by direct numerical integration.
ISSN:0021-3764