Control Variational Method Approach to Bending and Contact Problems for Gao Beam

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73584454" target="_blank" >RIV/61989592:15310/17:73584454 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.21136%2FAM.2017.0168-17.pdf" target="_blank" >https://link.springer.com/content/pdf/10.21136%2FAM.2017.0168-17.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2017.0168-17" target="_blank" >10.21136/AM.2017.0168-17</a>

Result language
angličtina
Original language name
Control Variational Method Approach to Bending and Contact Problems for Gao Beam
Original language description
This paper deals with a nonlinear beam model which was published by D.Y. Gao in 1996. It is considered either pure bending or a unilateral contact with elastic foundation, where the normal compliance condition is employed. Under additional assumptions on data, higher regularity of solution is proved. It enables us to transform the problem into a control variational problem. For basic types of boundary conditions, suitable transformations of the problem are derived. The control variational problem contains a simple linear state problem and it is solved by the conditioned gradient method. Illustrative numerical examples are introduced in order to compare the Gao beam with the classical Euler-Bernoulli beam.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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