Bending of clamped orthotropic thin plates: polynomial solution

DOI10.1177/10812865221075280OpenAlexW4210292196MaRDI QIDQ5048120

Alexander V. Matrosov, Dmitry P. Goloskokov

Publication date: 17 November 2022

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

Full work available at URL: https://doi.org/10.1177/10812865221075280

zbMATH Keywords

analytical solutionorthogonal polynomialsJacobi polynomialsBubnov-Galerkin methodorthotropic platebending of a clamped plate

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

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• Elastic equilibrium of an inhomogeneous orthotropic parallelepiped
• On the finite integral transform method for exact bending solutions of fully clamped orthotropic rectangular thin plates
• Analysis of clamped rectangular orthotropic plates subjected to a uniform lateral load
• Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems
• Numerical convergence of simple and orthogonal polynomials for the unilateral plate buckling problem using the Rayleigh-Ritz method
• Fast algorithms using orthogonal polynomials

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