The Dual Formulation of Discretized Beam Bending Problem with Sliding and Swivel Friction

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27120%2F22%3A10250374" target="_blank" >RIV/61989100:27120/22:10250374 - isvavai.cz</a>
Result on the web
<a href="https://aip.scitation.org/doi/abs/10.1063/5.0081377" target="_blank" >https://aip.scitation.org/doi/abs/10.1063/5.0081377</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0081377" target="_blank" >10.1063/5.0081377</a>

Result language
angličtina
Original language name
The Dual Formulation of Discretized Beam Bending Problem with Sliding and Swivel Friction
Original language description
The algorithm for numerical solution of the beam bending problem with given friction is the subject of this article. The objective function of corresponding optimization problem for finding the coefficients in the finite element basis combines quadratic function and additional non-differentiable part with absolute values representing the infuence of considered friction. From the algorithmic point of view, the direct solution of such a problem always causes the difficulties; the usual approaches of solution includes the artificial regularization or introduction of additional new variables. This paper presents the alternative way - the derivation of the so-called dual problem, where the unknowns are the Lagrange multipliers which correspond to the friction. This equivalent problem is a standard strictly convex quadratic programming problem with the feasible set defined by box constraints. The applicability of the approach is demonstrated by the results of our implementation in Matlab environment.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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