Дмитрий Ковригин » Публикация
Опубликовано
2009-05-23
Опубликовано на SciPeople2009-05-23 20:10:54
ЖурналInternational Journal of Solids and Structures
Multiwave non-linear couplings in elastic structures: Part 1. One-dimensional examples
International Journal of Solids and Structures
Volume 39, Issues 21-22, October-November 2002, Pages 5571-5583
Аннотация
This short contribution has for main purpose to exhibit the essentials of non-linear wave properties in mechanical systems of engineering origin (structural members). Non-linear resonance is examined on two one-dimensional examples, an infinite straight elastic bar and a thin elastic circular ring, exhibiting continuous and discrete spectra, respectively. Three-wave and four-wave interactions and the stability of coupled modes with respect perturbations are discussed, the emphasis being placed on mechanical phenomena (e.g., stress amplification), although analogies with some non-linear optical systems are obvious.
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