A unilateral contact problem with the heavy elastica

DOI10.1016/0020-7462(84)90059-3zbMath0539.73140OpenAlexW2001635401MaRDI QIDQ794506

M. Kuipers, Bob W. Kooi

Publication date: 1984

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(84)90059-3

zbMATH Keywords

Newton-Raphson methodconcentrated forcefinite-differencesfree boundary value problemfinite deflectionssystem of nonlinear ordinary differential equationsrigid foundationinfinite lengthheavy inextensible elastic beamopposite to the gravity fieldregion of non-contact

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical and other methods in solid mechanics (74S99) Theories of friction (tribology) (74A55) Numerical analysis in abstract spaces (65J99)

Related Items (6)

Quadrature matrices and elastica problems ⋮ On the use of a segmental shooting technique for multiple solutions of planar elastica problems ⋮ The extensible uplifted strip ⋮ Nonlinear large deflection problems of beams with gradient: a biparametric perturbation method ⋮ Finite difference scheme for large-deflection analysis of non-prismatic cantilever beams subjected to different types of continuous and discontinuous loadings ⋮ Approximate analytical solution for a unilateral contact problem with heavy elastica

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