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IssuesArchive of Issues2022-3pp.570-579

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Yu.I. Vinogradov, "Deformation Mechanics of a Shallow Shell," Mech. Solids. 57 (3), 570-579 (2022)
Year 2022 Volume 57 Number 3 Pages 570-579
DOI 10.3103/S0025654422030220
Title Deformation Mechanics of a Shallow Shell
Author(s) Yu.I. Vinogradov (Bauman Moscow State Technical University, Moscow, 105005 Russia, yuvino@rambler.ru)
Abstract Equations with partial derivatives of the mechanics of deformation of a shallow shell by decomposition, separation of variables, are reduced to ordinary equations and their connection equations at the point of intersection of independent variables. Solutions of homogeneous ordinary differential equations are determined by matrix convergent series. They satisfy arbitrary initial conditions. This makes it possible to exclude constant integrations from the solutions. The solutions establish a relationship between the quantities characterizing the states of the shell sections, including those at the edges, necessary to set the boundary conditions. For decomposition and modeling of the surface load, a mesh is applied on the shell element. Parametric studies with mesh refinement showed a fast convergence of the solution.
Keywords shallow shell, boundary value problem, error estimate
Received 05 October 2020Revised 20 November 2020Accepted 28 January 2021
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