A numerical algorithm for a Kirchhoff-type nonlinear static beam

DOI10.1155/2009/818269zbMath1417.74015OpenAlexW2079110292WikidataQ58648645 ScholiaQ58648645MaRDI QIDQ1034030

Jemal Peradze

Publication date: 10 November 2009

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2009/818269

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Integro-ordinary differential equations (45J05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (11)

A Galerkin–Newton Algorithm for Solution of a Kirchhoff-Type Static Equation ⋮ On the approximate solution of a Kirchhoff type static beam equation ⋮ Some results for a \(p(x)\)-Kirchhoff type variation-inequality problems in non-divergence form ⋮ A Kirchhoff type equation in a nonlinear model of shell vibration ⋮ Discretization of a nonlinear dynamic thermoviscoelastic Timoshenko beam model ⋮ Iterative solution of a nonlinear static beam equation ⋮ Fluid structure interaction problem with changing thickness beam and slightly compressible fluid ⋮ An approximate solution for the static beam problem and nonlinear integro-differential equations ⋮ Finite element discretization of a nonlinear thermoelastic beam model with penalized unilateral contact ⋮ Finite element approximation to a contact problem for a nonlinear thermoviscoelastic beam ⋮ Numerical solution of the static beam problem by Bernoulli collocation method

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