Efficient computational approaches for analysis of thin and flexible multibody structures

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F21%3A43960984" target="_blank" >RIV/49777513:23520/21:43960984 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s11071-021-06225-5" target="_blank" >https://link.springer.com/article/10.1007/s11071-021-06225-5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11071-021-06225-5" target="_blank" >10.1007/s11071-021-06225-5</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Efficient computational approaches for analysis of thin and flexible multibody structures

Popis výsledku v původním jazyce

A large group of real mechanical problems can be modelled and analysed using the approaches of flexible multibody dynamics. The computational models in the form of differential-algebraic equations can be quite complex, and therefore it is suitable to develop efficient approaches for the analysis of such models. This paper deals with the development of fast and efficient computational techniques for the analysis of flexible and thin mechanical structures modeled using the absolute nodal coordinate formulation (ANCF). The first original contribution of this paper is the introduction of fast evaluation of nonlinear elastic forces of the ANCF cable element based on the pre-computation of various terms that are constant when evaluated numerically at Gaussian points. The second part of the paper is aimed at the usage of quasi-Newton methods, which led to the reduction of iteration matrix re-evaluations in case of Newmark type of numerical integration methods for equations of motion. Proposed improvements are implemented in an in-house software in MATLAB environment and their effects are tested on the cable-mass system considered as a flexible multibody system. The numerical results shown in the paper have proven the efficiency of the proposed algorithms. Real behaviour of testing mechanical systems was supported by presented experimental results.

Název v anglickém jazyce

Efficient computational approaches for analysis of thin and flexible multibody structures

Popis výsledku anglicky

A large group of real mechanical problems can be modelled and analysed using the approaches of flexible multibody dynamics. The computational models in the form of differential-algebraic equations can be quite complex, and therefore it is suitable to develop efficient approaches for the analysis of such models. This paper deals with the development of fast and efficient computational techniques for the analysis of flexible and thin mechanical structures modeled using the absolute nodal coordinate formulation (ANCF). The first original contribution of this paper is the introduction of fast evaluation of nonlinear elastic forces of the ANCF cable element based on the pre-computation of various terms that are constant when evaluated numerically at Gaussian points. The second part of the paper is aimed at the usage of quasi-Newton methods, which led to the reduction of iteration matrix re-evaluations in case of Newmark type of numerical integration methods for equations of motion. Proposed improvements are implemented in an in-house software in MATLAB environment and their effects are tested on the cable-mass system considered as a flexible multibody system. The numerical results shown in the paper have proven the efficiency of the proposed algorithms. Real behaviour of testing mechanical systems was supported by presented experimental results.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

NONLINEAR DYNAMICS

ISSN

0924-090X

e-ISSN

—

Svazek periodika

103

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

18

Strana od-do

2475-2492

Kód UT WoS článku

000613186700001

EID výsledku v databázi Scopus

2-s2.0-85100514130