Publication detail
New Mathematical and Computational Model of Elastic Continuum Interaction with Liquid.
POCHYLÝ, F. MALENOVSKÝ, E.
Czech title
Nový matematický a výpočtový model interakce elastického tělesa s tekutinou
English title
New Mathematical and Computational Model of Elastic Continuum Interaction with Liquid.
Type
journal article - other
Language
en
Original abstract
This contribution is focused on the analysis if dynamic behavior of elastic continuum moving in liquid. The method solution is demonstrated on the non-stationary movement of a bar in a real, incompressible liquid. The principle of the solution is based on the modal transformation of the bar and discrete process using the finite element method. The problem is in general non-linear. However, the method introduced in this contribution allows the solution of the problem in time steps. The solution is based upon a certain substitution which provides gradual separation of the movement of liquid and the movement of the bar. This substitution is entered analogously on the finite element and is dependent on the normal coordinates. The result is a tensor of additional effects.
Czech abstract
Příspěvek je zaměřen na analýzu dynamických vlastností pružných těles, pohybujících se v tekutině. Metodika řešení je vysvětlena na popisu nestacionárního pohybu prutu v reálné, nestlačitelné kapalině.Princip řešení je založen na modální transformaci prutu a diskretizaci metodou konečných prvků.Problém je v obecnosti nelineární. Metoda v práci uvedená však umožňuje řešit problém v časových krocích. Řešení se opírá o jistou substituci, která umožní postupně oddělit pohyb kapaliny od pohybu prutu.Tato substituce se zavádí analogicky jako u tuhého tělesa na konečném prvku v závislosti na normálních souřadnicích. Výsledkem je tenzor přídavných účinků na konečném prvku.
English abstract
This contribution is focused on the analysis if dynamic behavior of elastic continuum moving in liquid. The method solution is demonstrated on the non-stationary movement of a bar in a real, incompressible liquid. The principle of the solution is based on the modal transformation of the bar and discrete process using the finite element method. The problem is in general non-linear. However, the method introduced in this contribution allows the solution of the problem in time steps. The solution is based upon a certain substitution which provides gradual separation of the movement of liquid and the movement of the bar. This substitution is entered analogously on the finite element and is dependent on the normal coordinates. The result is a tensor of additional effects.
Keywords in Czech
Volné tlumené kmitání, reálná tekutina, interakce tělesa s tekutinou
Keywords in English
free damped vibration, real liquid, interaction of continuum with liguid, finite element
RIV year
2008
Released
08.12.2008
Location
Brno
ISSN
1802-1484
Journal
Engineering Mechanics
Volume
15
Number
6
Pages from–to
411–418
Pages count
8
BIBTEX
@article{BUT47214,
author="František {Pochylý} and Eduard {Malenovský},
title="New Mathematical and Computational Model of Elastic Continuum Interaction with Liquid.",
journal="Engineering Mechanics",
year="2008",
volume="15",
number="6",
month="December",
pages="411--418",
address="Brno",
issn="1802-1484"
}