Temporal-spatial dispersion and stability analysis of finite element method in explicit elastodynamics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F16%3A00458121" target="_blank" >RIV/61388998:_____/16:00458121 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1002/nme.5010" target="_blank" >http://dx.doi.org/10.1002/nme.5010</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nme.5010" target="_blank" >10.1002/nme.5010</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Temporal-spatial dispersion and stability analysis of finite element method in explicit elastodynamics

Popis výsledku v původním jazyce

This work presents the temporal-spatial (full) dispersion and stability analysis of plane square linear and biquadratic serendipity finite elements in explicit numerical solution of transient elastodynamic problems. Here, the central difference method, as an explicit time integrator, is exploited. The paper complements and extends the previous work on spatial/grid dispersion analysis of plane square biquadratic serendipity finite elements. We report on a computational strategy for temporal-spatial dispersion relationships, where eigenfrequencies from grid/spatial dispersion analysis are adjusted to comply with the time integration method. Besides that, an optimal’ lumped mass matrix for the studied finite element types is proposed and investigated. Based on the temporal-spatial dispersion and stability analysis, relationships suggesting the proper’ choice of mesh size and time step size from knowledge of the loading spectrum are presented

Název v anglickém jazyce

Temporal-spatial dispersion and stability analysis of finite element method in explicit elastodynamics

Popis výsledku anglicky

This work presents the temporal-spatial (full) dispersion and stability analysis of plane square linear and biquadratic serendipity finite elements in explicit numerical solution of transient elastodynamic problems. Here, the central difference method, as an explicit time integrator, is exploited. The paper complements and extends the previous work on spatial/grid dispersion analysis of plane square biquadratic serendipity finite elements. We report on a computational strategy for temporal-spatial dispersion relationships, where eigenfrequencies from grid/spatial dispersion analysis are adjusted to comply with the time integration method. Besides that, an optimal’ lumped mass matrix for the studied finite element types is proposed and investigated. Based on the temporal-spatial dispersion and stability analysis, relationships suggesting the proper’ choice of mesh size and time step size from knowledge of the loading spectrum are presented

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BI - Akustika a kmity

OECD FORD obor

—

Projekt

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

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

International Journal for Numerical Methods in Engineering

ISSN

0029-5981

e-ISSN

—

Svazek periodika

106

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

16

Strana od-do

113-128

Kód UT WoS článku

000372320500002

EID výsledku v databázi Scopus

2-s2.0-84945311310