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Constrained and Unconstrained Optimization Formulations for Structural Elements in Unilateral Contact with an Elastic Foundation
Joint Authors
Silveira, Ricardo A. M.
Pereira, Wellington L. A.
Gonçalves, Paulo Batista
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-03-05
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Silveira, Ricardo A. M.& Pereira, Wellington L. A.& Gonçalves, Paulo Batista. 2008. Constrained and Unconstrained Optimization Formulations for Structural Elements in Unilateral Contact with an Elastic Foundation. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-15.
https://search.emarefa.net/detail/BIM-498019
Modern Language Association (MLA)
Silveira, Ricardo A. M.…[et al.]. Constrained and Unconstrained Optimization Formulations for Structural Elements in Unilateral Contact with an Elastic Foundation. Mathematical Problems in Engineering No. 2008 (2008), pp.1-15.
https://search.emarefa.net/detail/BIM-498019
American Medical Association (AMA)
Silveira, Ricardo A. M.& Pereira, Wellington L. A.& Gonçalves, Paulo Batista. Constrained and Unconstrained Optimization Formulations for Structural Elements in Unilateral Contact with an Elastic Foundation. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-15.
https://search.emarefa.net/detail/BIM-498019
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498019