Unsteady bending of an orthotropic cantilever Timoshenko beam with allowance for diffusion flux relaxation

DOI10.1134/S0965542522110124zbMath1505.74128OpenAlexW4310689712MaRDI QIDQ2101426

A. V. Zemskov, D. V. Tarlakovskii

Publication date: 6 December 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522110124

zbMATH Keywords

Laplace transformVolterra integral equationFourier series expansionequivalent boundary condition methodunsteady elastic diffusion

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10)

Cites Work

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• An Introduction to the Mathematical Theory of Vibrations of Elastic Plates
• The Bending and Stretching of Plates
• Smooth attractor for a nonlinear thermoelastic diffusion thin plate based on Gurtin–Pipkin’s model

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