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Natural modes of a coupled non-linear system

โœ Scribed by G.V. Anand


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
623 KB
Volume
7
Category
Article
ISSN
0020-7462

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๐Ÿ“œ SIMILAR VOLUMES


NON-LINEAR NORMAL MODES OF A CONTINUOUS
โœ M.I. Qaisi ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

A power series method is presented for the computation of normal modes and frequencies of an elastic beam resting on a non-linear foundation. The equation of motion is first discretized by using the Galerkin procedure. The time-dependent generalized co-ordinates are obtained by transforming the time

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A method based on the power series technique is developed for the computation of normal modes and frequencies of a non-linear conservative lumped parameter system. The power series analysis is facilitated upon transforming the time variable into an harmonically oscillating time. Recurrence relations

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The Karhunen}Loeve (K}L) decomposition procedure is applied to a system of coupled cantilever beams with non-linear grounding sti!nesses and a system of non-linearly coupled rods. The former system possesses localized non-linear normal modes (NNMs) for certain values of the coupling parameters and h