New methods in collision of bodies analysis

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F23%3APU146781" target="_blank" >RIV/00216305:26110/23:PU146781 - isvavai.cz</a>

Výsledek na webu

<a href="https://panm21.math.cas.cz/" target="_blank" >https://panm21.math.cas.cz/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21136/panm.2022.13" target="_blank" >10.21136/panm.2022.13</a>

Jazyk výsledku

angličtina

Název v původním jazyce

New methods in collision of bodies analysis

Popis výsledku v původním jazyce

The widely used method for solution of impacts of bodies, called the penalty method, is based on the contact force proportional to the length of the interpenetration of bodies. This method is regarded as unsatisfactory by the authors of this contribution, because of an inaccurate fulfillment of the energy conservation law and violation of the natural demand of impenetrability of bodies. Two non-traditional methods for the solution of impacts of bodies satisfy these demands exactly, or approximately, but much better than the penalty method. Namely the energy method exactly satisfies the conservation of energy law, whereas the kinematic method exactly satisfies the condition of impenetrability of bodies. Both these methods are superior in comparison with the penalty method, which is demonstrated by the results of several numerical examples.

Název v anglickém jazyce

New methods in collision of bodies analysis

Popis výsledku anglicky

The widely used method for solution of impacts of bodies, called the penalty method, is based on the contact force proportional to the length of the interpenetration of bodies. This method is regarded as unsatisfactory by the authors of this contribution, because of an inaccurate fulfillment of the energy conservation law and violation of the natural demand of impenetrability of bodies. Two non-traditional methods for the solution of impacts of bodies satisfy these demands exactly, or approximately, but much better than the penalty method. Namely the energy method exactly satisfies the conservation of energy law, whereas the kinematic method exactly satisfies the condition of impenetrability of bodies. Both these methods are superior in comparison with the penalty method, which is demonstrated by the results of several numerical examples.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název statě ve sborníku

Programs and Algorithms of Numerical Mathematics 22

ISBN

978-80-85823-73-8

ISSN

—

e-ISSN

—

Počet stran výsledku

16

Strana od-do

133-148

Název nakladatele

Matematický ústav AV ČR

Místo vydání

Praha

Místo konání akce

Jablonec nad Nisou

Datum konání akce

19. 6. 2022

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

001362525500013