Solution of Contact Problems for Nonlinear Gao Beam and Obstacle
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Contact problem for a large deformed beam with an elastic obstacle is formulated, analyzed, and numerically solved.
The beam model is governed by a nonlinear fourth-order differential equation developed by Gao, while the obstacle is considered as the elastic foundation of Winkler’s type in some distance under the beam.
The problem is static without a friction and modeled either using Signorini conditions or by means of normal compliance contact conditions.
The problems are then reformulated as optimal control problems which is useful both for theoretical aspects and for solution methods.
Discretization is based on using the mixed finite element method with independent discretization and interpolations for foundation and beam elements.
Numerical examples demonstrate usefulness of the presented solution method.
Results for the nonlinear Gao beam are compared with results for the classical Euler-Bernoulli beam model.
American Psychological Association (APA)
Machalová, J.& Netuka, H.. 2015. Solution of Contact Problems for Nonlinear Gao Beam and Obstacle. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1067088
Modern Language Association (MLA)
Machalová, J.& Netuka, H.. Solution of Contact Problems for Nonlinear Gao Beam and Obstacle. Journal of Applied Mathematics No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1067088
American Medical Association (AMA)
Machalová, J.& Netuka, H.. Solution of Contact Problems for Nonlinear Gao Beam and Obstacle. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1067088
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067088