Solution of contact problems for Gao beam and elastic foundation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73587509" target="_blank" >RIV/61989592:15310/18:73587509 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1177/1081286517732382" target="_blank" >http://dx.doi.org/10.1177/1081286517732382</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1177/1081286517732382" target="_blank" >10.1177/1081286517732382</a>
Alternative languages
Result language
angličtina
Original language name
Solution of contact problems for Gao beam and elastic foundation
Original language description
This paper presents mathematical formulations and a solution for contact problems that concern the nonlinear beam published by Gao (Nonlinear elastic beam theory with application in contact problems and variational approaches, Mech Res Commun 1996; 23: 11-17) and an elastic foundation. The beam is subjected to a vertical and also axial loading. The elastic deformable foundation is considered at a distance under the beam. The contact is modeled as static, frictionless and using the normal compliance contact condition. In comparison with the usual contact problem formulations, which are based on variational inequalities, we are able to derive for our problem a nonlinear variational equation. Solution of this problem is realized by means of the so-called control variational method. The main idea of this method is to transform the given contact problem to an optimal control problem, which can provide the requested solution. Finally, some results including numerical examples are offered to illustrate the usefulness of the presented solution method.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
MATHEMATICS AND MECHANICS OF SOLIDS
ISSN
1081-2865
e-ISSN
—
Volume of the periodical
23
Issue of the periodical within the volume
3
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
473-488
UT code for WoS article
000429895300015
EID of the result in the Scopus database
2-s2.0-85044132035