Please use this identifier to cite or link to this item: http://www.repositorio.ufop.br/handle/123456789/3385
Title: Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation.
Authors: Silveira, Ricardo Azoubel da Mota
Pereira, Wellington Luís Assis
Gonçalves, Paulo Batista
Keywords: Engenharia civil
Civil engineering
Elastic foundation
Unilateral contact
Issue Date: 2007
Citation: SILVEIRA, R. A. da M.; PEREIRA, W. L. A; GONÇALVES, P. B. Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation. Mathematical Problems in Engineering, v. 2008, p. 1-15, 2008. Disponível em: <http://www.hindawi.com/journals/mpe/2008/786520/>. Acesso em: 09 set. 2013.
Abstract: In this work, two numerical methodologies are proposed for the solution of unilateral contact problems between a structural member (beam or arch) and an elastic foundation. In the first approach, the finite element method is used to discretize the structure and elastic foundation and the contact problem is formulated as a constrained optimization problem. Only the original variables of the problem are used, subjected to inequality constraints, and the relevant equations are written as a linear complementary problem (LCP). The second approach is based on the Ritz method, where the coordinates defining the limits of the contact regions are considered as additional variables of the problem. The contact problem here is treated as an unconstrained optimum design problem. These proposed methodologies are then tested and compared using results from specific problems involving structures under unilateral contact constraints.
URI: http://www.repositorio.ufop.br/handle/123456789/3385
metadata.dc.identifier.doi: http://dx.doi.org/10.1155/2008/786520
metadata.dc.rights.license: This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Fonte: o próprio artigo.
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