On the coupling of non-linear normal modes
โ Scribed by C.H. Pak
- Book ID
- 108146944
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 355 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0020-7462
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๐ SIMILAR VOLUMES
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
For a strongly non-linear multi-degree-of-freedom system, in general, one cannot consider one mode at a time as in linear modal analysis. In the absence of external excitation, the natural vibration often involves more than one mode at a time resulting in quasi-periodic or multi-periodic (toroidal)
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