Generalized method of finite integral transformations in linear and nonlinear static problems for shallow shells

DOI10.1007/s10958-023-06627-3MaRDI QIDQ6147702

Yaroslav M. Grigorenko, O. I. Bespalova

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

iterative solutionLibman-Gauss-Seidel methodNewton-Kantorovich-Raphson linearization method

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25)

Cites Work

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• Application of the finite integral transform method to solving a mixed problem with integro-differential conditions for a nonclassical equation
• On the finite integral transform method for exact bending solutions of fully clamped orthotropic rectangular thin plates
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• Advanced Kantorovich method for biharmonic problems
• Nonstationary deformation of an elastic layer with mixed boundary conditions
• Integral transform method
• Generalized method of finite integral transforms in static problems for anisotropic prisms
• Finite integral transform method for analytical solutions of static problems of cylindrical shell panels
• Finite integral transform method in static problems for inhomogeneous plates
• A TRANSFORM TECHNIQUE FOR BOUNDARY-VALUE PROBLEMS IN FOURTH-ORDER PARTIAL DIFFERENTIAL EQUATIONS
• THE FINITE STURM-LIOUVILLE TRANSFORM

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