Natural frequencies of an inhomogeneous square thin plate

DOI10.1134/S1063454121020138zbMath1475.74062OpenAlexW4285476277MaRDI QIDQ2047529

G. P. Vasiliev, Andreĭ Leonidovich Smirnov

Publication date: 20 August 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454121020138

zbMATH Keywords

asymptotic perturbation methodrectangular platelinearly varying thicknessfinite element COMSOL software package

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Inhomogeneity in solid mechanics (74E05)

Cites Work

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• Vibration analysis of moderate-thick plates with slowly varying thickness
• Free vibration frequencies of a circular thin plate with variable parameters
• Asymptotic methods in mechanics of solids

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