Solution of Contact Problems for Nonlinear Gao Beam and Obstacle

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33154515" target="_blank" >RIV/61989592:15310/15:33154515 - isvavai.cz</a>
Result on the web
<a href="http://www.hindawi.com/journals/jam/2015/420649/" target="_blank" >http://www.hindawi.com/journals/jam/2015/420649/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/2015/420649" target="_blank" >10.1155/2015/420649</a>

Result language
angličtina
Original language name
Solution of Contact Problems for Nonlinear Gao Beam and Obstacle
Original language description
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 ofWinkler'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 beamelements. 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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