Vibrations of a plate with periodically changing parameters

DOI10.1134/S1063454121040130zbMath1489.74023OpenAlexW4285356559MaRDI QIDQ2668907

D. N. Ivanov, N. V. Naumova, N. P. Dorofeev

Publication date: 9 March 2022

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

Full work available at URL: https://doi.org/10.1134/s1063454121040130

zbMATH Keywords

finite element methodeigenfrequencyBubnov-Galerkin methodasymptotic averagingheterogeneous plate

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) Finite element methods applied to problems in solid mechanics (74S05)

Uses Software

• ANSYS
• Mathematica

Cites Work

• Unnamed Item
• Contact mechanics of articular cartilage layers. Asymptotic models
• Stiffened plate bending analysis by the boundary element method
• Dynamic stationary response of reinforced plates by the boundary element method
• Korn inequalities for a reinforced plate
• Long-wave oscillations and waves in anisotropic beams

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