Original title: Bending of Beam with Free Ends on Non-linear Subsoil
Authors: Sysala, Stanislav
Document type: Papers
Conference/Event: Mechanical Structures and Foundation Engineering 2010, Ostrava (CZ), 2010-09-13 / 2010-09-13
Year: 2010
Language: eng
Abstract: A semi-coercive problem with a beam on a unilateral elastic subsoil of Winkler type is investigated in the contribution. Firstly, the existence, the uniqueness and the continuous dependence on data of the problem solution are discussed. Secondly, the problem is approximated by the finite element method, where the subsoil is replaced by insulated "springs" due to a numerical quadrature. The relations between the original problem and the family of approximated problems are introduced. Thirdly, suitable numerical methods of Newton type are introduced. The convergence analysis of the methods is investigated. The dependence of the methods on the discretization parameter and the load is also discussed. And finally, some of the theoretical results are illustrated on numerical examples.
Keywords: beam on subsoil; non-linearity; semi-coercivity
Project no.: CEZ:AV0Z30860518 (CEP)
Host item entry: Mechanical Structures and Foundation Engineering 2010, ISBN 978-80-248-2256-3

Institution: Institute of Geonics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0189347

Permalink: http://www.nusl.cz/ntk/nusl-41806


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Research > Institutes ASCR > Institute of Geonics
Conference materials > Papers