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Asymptotic solution of the first boundary-value problem of the theory of elasticity of the forced vibrations of an isotropic strip

✍ Scribed by L.A. Agalovyan; R.S. Gevorkyan

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 419 KB
Volume: 72
Category: Article
ISSN: 0021-8928
DOI: 10.1016/j.jappmathmech.2008.08.008

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✦ Synopsis

The first boundary-value problem of the theory of elasticity of the forced vibrations of an isotropic strip is solved by an asymptotic method. The asymptotic form of the components of the stress tensor and the displacement vector, which differ in principle from the asymptotic form in the corresponding static problem, is established. All the required quantities in the inner problem are determined and the conditions for resonance to occur are established. The solution in the dynamic boundary layer is constructed and the fundamental (inner) and boundary solutions are matched.

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