Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation.

• Autor(a) principal: Silveira, Ricardo Azoubel da Mota
• Data de Publicação: 2007
• Outros Autores: Pereira, Wellington Luís Assis, Gonçalves, Paulo Batista
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UFOP
• Texto Completo: http://www.repositorio.ufop.br/handle/123456789/3385; http://dx.doi.org/10.1155/2008/786520
• topic: Engenharia civil; Civil engineering; Elastic foundation; Unilateral contact

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.