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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Applications of Mathematics

ISSN

0862-7940

e-ISSN

—

Svazek periodika

62

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

17

Strana od-do

661-677

Kód UT WoS článku

000419946700007

EID výsledku v databázi Scopus

—