Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state

Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State


ISSN: 2073-5499    

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Metadata (abstracts and keywords) for the articles in the journal

M. V. Wilde, Ya. A. Parfenova, M. Yu. Surova On the applicability limits of refined theories in describing of the flexural edge wave in plates // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2020. № 3(45). p. 206-213
Author(s):M. V. Wilde, Ya. A. Parfenova, M. Yu. Surova
Index of UDK:539.3
DOI:10.37972/chgpu.2020.28.36.023
Title:On the applicability limits of refined theories in describing of the flexural edge wave in plates
Keywords:

edge waves, transient waves, plate bending.

Abstracts:

The applicability limits of refined plate bending theories in describing of the flexural edge wave dispersion and its excitation amplitude are investigated. The wave is excited by a pair of twisting couples applied to the edge of the plate. Numerical comparison with the solution of 3D problem shows that Uflyand–Mindlin theory is applicable at the frequencies up to 30% of the first cut-off. The higher order asymptotic theory of plate bending with modified inertia and classical boundary conditions allows to improve the describing of the velocity comparing to Kirchhoff theory, but leads to a considerable error in describing of the amplitude.

The contact details of authors:

Wilde, Maria Vladimirovna, Professor, Doctor of Sciences, Department of Mathematical Theory of Elasticity and Biomechanics, Saratov State University, Saratov, Russia.

Parfenova, Yanina Aleksandrovna, Lecturer, Candidate of Sciences, Department of Mathematical Theory of Elasticity and Biomechanics, Saratov State University, Saratov, Russia.

Surova, Maria Yurievna, Postgraduate student, Department of Mathematical Theory of Elasticity and Biomechanics, Saratov State University, Saratov, Russia.

Pages:206-213
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