Free and forced vibrations of functionally graded shallow shells based on the 3D elasticity theory

DOI10.1007/S00707-022-03346-9zbMath1505.74078OpenAlexW4298003903MaRDI QIDQ2092954

L. O. Shevchuk, A. V. Marchuk

Publication date: 4 November 2022

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-022-03346-9

zbMATH Keywords

eigenvectorpolynomial approximationvariational principlecharacteristic equationhinge-supported shallow shellintegro-differential equilibrium equation

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05) Shells (74K25)

Cites Work

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• Three-dimensional analysis of the free vibrations of layered composite plates based on the semianalytic finite-element method
• Exact three-dimensional free vibration analysis of thick homogeneous plates coated by a functionally graded layer
• On a general theory of anisotropic shells
• EXACT CORRESPONDENCE BETWEEN EIGENVALUES OF MEMBRANES AND FUNCTIONALLY GRADED SIMPLY SUPPORTED POLYGONAL PLATES
• An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates

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