2006
DOI: 10.1155/mpe/2006/76041
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Multiwave nonlinear couplings in elastic structures

Abstract: This short contribution considers the essentials of nonlinear wave properties in typical mechanical systems such as an infinite straight bar, a circular ring, and a flat plate. It is found that nonlinear resonance is experienced in all the systems exhibiting continuous and discrete spectra, respectively. Multiwave interactions and the stability of coupled modes with respect to small perturbations are discussed. The emphasis is placed on mechanical phenomena, for example, stress amplification, although some ana… Show more

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Cited by 5 publications
(4 citation statements)
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“…all possessing nonlinear resonances [2]. Nonlinear resonances appear in a great amount of typical mechanical systems such as an infinite straight bar, a circular ring, and a flat plate [3]. The so-called "nonlinear resonance jump", important for the analysis of a turbine governor positioning system of hydroelectric power plants, can cause severe damage to the mechanical, hydraulic and electrical systems [4].…”
Section: Introductionmentioning
confidence: 99%
“…all possessing nonlinear resonances [2]. Nonlinear resonances appear in a great amount of typical mechanical systems such as an infinite straight bar, a circular ring, and a flat plate [3]. The so-called "nonlinear resonance jump", important for the analysis of a turbine governor positioning system of hydroelectric power plants, can cause severe damage to the mechanical, hydraulic and electrical systems [4].…”
Section: Introductionmentioning
confidence: 99%
“…Nonlinear resonances are ubiquitous in physics. They appear in a great amount of typical mechanical systems [22], in engineering [23], astronomy [21], biology [9], etc. etc.…”
Section: Introductionmentioning
confidence: 99%
“…Nonlinear resonances are ubiquitous in physics. They appear in a great amount of typical mechanical systems [13,41], in engineering [8,17,42,57], astronomy [40], biology [15], etc. etc.…”
Section: Introductionmentioning
confidence: 99%