Počet záznamů: 1
Bending of Beam with Free Ends on Non-linear Subsoil
0348980 - UGN-S 2011 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Bending of Beam with Free Ends on Non-linear Subsoil.
Mechanical Structures and Foundation Engineering 2010. Ostrava: VŠB-TUO, 2010 - (Frydrýšek, K.), s. 1-17. ISBN 978-80-248-2256-3.
[Mechanical Structures and Foundation Engineering 2010. Ostrava (CZ), 13.09.2010-13.09.2010]
Výzkumný záměr: CEZ:AV0Z30860518
Klíčová slova: beam on subsoil * non-linearity * semi-coercivity
Kód oboru RIV: BA - Obecná matematika
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.
Trvalý link: http://hdl.handle.net/11104/0189347