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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1016/0016-0032(49)90967-9

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1573-269X

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Two modes nonresonant interaction for rectangular

Authors: I D Breslavsky K V Avramov
Publish Date: 2011/11/19
Volume: 69, Issue: 1-2, Pages: 285-294
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Abstract

The vibrations of thin rectangular plate with geometrical nonlinearity are analyzed The models of plate vibrations with different numbers of degreesoffreedom are derived It is deduced that two degreesoffreedoms are enough to describe lowfrequency nonlinear dynamics of plates Nonlinear normal modes are used to analyze the system dynamics If vibrations amplitudes are increased singlemode plate vibrations are transformed into two mode ones In this case internal resonance conditions are not observed Such transformation of vibration is described using Kauderer–Rosenberg nonlinear normal modes

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