Displaying similar documents to “Unilateral elastic subsoil of Winkler's type: Semi-coercive beam problem”

Numerical modelling of semi-coercive beam problem with unilateral elastic subsoil of Winkler's type

Stanislav Sysala (2010)

Applications of Mathematics

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A non-linear semi-coercive beam problem is solved in this article. Suitable numerical methods are presented and their uniform convergence properties with respect to the finite element discretization parameter are proved here. The methods are based on the minimization of the total energy functional, where the descent directions of the functional are searched by solving the linear problems with a beam on bilateral elastic ``springs''. The influence of external loads on the convergence...

Optimal design of an elastic beam on an elastic basis

Jan Chleboun (1986)

Aplikace matematiky

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An elastic simply supported beam of given volume and of constant width and length, fixed on an elastic base, is considered. The design variable is taken to be the thickness of the beam; its derivatives of the first order are bounded both above and below. The load consists of concentrated forces and moments, the weight of the beam and of the so called continuous load. The cost functional is either the H 2 -norm of the deflection curve or the L 2 -norm of the normal stress in the extemr fibre...

Finite element analysis of the Signorini problem in semi-coercive cases

Ivan Hlaváček, Ján Lovíšek (1980)

Aplikace matematiky

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The plane Signorini problem is considered in the cases, when there exist non-trivial rigid admissible displacements. The existence and uniqueness of the solution and the convergence of piecewise linear finite element approximations is discussed.