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Bending of Beam with Free Ends on Non-linear Subsoil
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SYSNO ASEP 0348980 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Bending of Beam with Free Ends on Non-linear Subsoil Author(s) Sysala, Stanislav (UGN-S) RID, ORCID Number of authors 1 Source Title Mechanical Structures and Foundation Engineering 2010, Book of Proceedings. - Ostrava : VŠB-TUO, 2010 / Frydrýšek K. - ISBN 978-80-248-2256-3 Pages s. 1-17 Number of pages 17 s. Publication form CD-ROM - CD-ROM Action Mechanical Structures and Foundation Engineering 2010 Event date 13.09.2010-13.09.2010 VEvent location Ostrava Country CZ - Czech Republic Event type EUR Language eng - English Country CZ - Czech Republic Keywords beam on subsoil ; non-linearity ; semi-coercivity Subject RIV BA - General Mathematics CEZ AV0Z30860518 - UGN-S (2005-2011) Annotation 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. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2011
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