Bending of Beam with Free Ends on Non-linear Subsoil

0348980 - ÚGN 2011 RIV CZ eng C - Conference Paper (international conference)
Sysala, Stanislav
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]
Institutional research plan: CEZ:AV0Z30860518
Keywords : beam on subsoil * non-linearity * semi-coercivity
Subject RIV: BA - General Mathematics
http://arl-repository.lib.cas.cz/uloziste_av/UGN-S/cav_un_epca-0348980_01.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0189347