A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation
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.
Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation
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.
Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation
Beschränkte und unbeschränkte Optimierungsformulierung für Strukturelemente in einseitigem Kontakt mit einem elastischen Fundaments
Silveira, Ricardo A.M. (author)
2008
15 Seiten, 7 Bilder, 27 Quellen
Article (Journal)
English
Analysis of slender structural elements under unilateral contact constraints
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