- Title
- Mixed finite element solutions to contact problems of nonlinear Gao beam on elastic foundation
- Creator
- Gao, David; Machalova, Jitka; Netuka, Horymir
- Date
- 2015
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/76362
- Identifier
- vital:7527
- Identifier
-
https://doi.org/10.1016/j.nonrwa.2014.09.012
- Identifier
- ISSN:1468-1218
- Abstract
- This paper analyzes nonlinear contact problems of a large deformed beam on an elastic foundation. The beam model is governed by a nonlinear fourth-order differential equation developed by Gao (1996); while the elastic foundation model is assumed as Winkler's type. Based on a decomposition method, the nonlinear variational inequality problem is able to be reformed as a min-max problem of a saddle Lagrangian. Therefore, by using mixed finite element method with independent discretization-interpolations for foundation and beam elements, the nonlinear contact problem in continuous space is eventually converted as a nonlinear mixed complementarity problem, which can be solved by combination of interior-point and Newton methods. Applications are illustrated by different boundary conditions. Results show that the nonlinear Gao beam is more stiffer than the Euler-Bernoulli beam.
- Publisher
- Elsevier Ltd
- Relation
- Nonlinear Analysis: Real World Applications Vol. 22, no. (2015), p. 537-550
- Rights
- © 2014 Elsevier Ltd. All rights reserved.
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; Finite element method; Mixed complementarity problem; Nonlinear Gao beam; Normal compliance; Winkler foundation
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