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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

AIP Conference Proceedings. Volume 2425

ISBN

978-0-7354-4182-8

ISSN

0094-243X

e-ISSN

1551-7616

Počet stran výsledku

4

Strana od-do

"neuvedeno"

Název nakladatele

AIP Publishing

Místo vydání

Melville

Místo konání akce

Rhodos

Datum konání akce

17. 9. 2020

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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