Axisymmetric flexural oscillations of a thin disc

DOI10.1016/0021-8928(88)90116-5zbMath0699.73034OpenAlexW2024530787MaRDI QIDQ913554

V. A. Popov

Publication date: 1988

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(88)90116-5

zbMATH Keywords

singular perturbationsboundary layer solutionsuperposition methodinfinite system of linear algebraic equationsmethod of homogeneous solutionsasymptotic forms of the eigenfrequenciesflexural low-frequency oscillations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Cites Work

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• Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory
• On plate theories and Saint-Venant's principle
• Determination of frequencies of natural vibrations of circular plates
• On a plane problem of elasticity theory for a half-strip

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