Počet záznamů: 1
Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics
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SYSNO ASEP 0395253 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics Tvůrce(i) Kolman, Radek (UT-L) RID
Plešek, Jiří (UT-L) RID, ORCID, SAI
Okrouhlík, Miloslav (UT-L) RID
Gabriel, Dušan (UT-L) RID, ORCIDZdroj.dok. International Journal for Numerical Methods in Engineering. - : Wiley - ISSN 0029-5981
Roč. 96, č. 1 (2013), s. 1-28Poč.str. 28 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova wave propagation ; dispersion properties ; biquadratic serendipity finite elements Vědní obor RIV BI - Akustika a kmity CEP GPP101/10/P376 GA ČR - Grantová agentura ČR GAP101/11/0288 GA ČR - Grantová agentura ČR GA101/09/1630 GA ČR - Grantová agentura ČR GAP101/12/2315 GA ČR - Grantová agentura ČR Institucionální podpora UT-L - RVO:61388998 UT WOS 000323887400001 DOI 10.1002/nme.4539 Anotace The spatial discretisation of a continuum by the FEM introduces dispersion errors to the numerical solution of stress wave propagation. When the propagating phenomena are modelled by the FEM, the speed of a single harmonic wave depends on its frequency. With higher order finite elements, there are optical modes in the spectrum resulting in spurious oscillations of stress and velocity distributions near the sharp wavefronts. For reliable numerical solutions by the FEM, the dispersion errors should be analysed and determined. The dispersion properties of a plane square biquadratic serendipity finite element are examined and compared with a bilinear one. Dispersion analysis is carried out for the consistent and lumped mass matrices. A dispersive ‘improved’ lumped mass matrix for biquadratic serendipity elements is proposed. The paper closes with the recommendation of a choice of permissible dimensionless wavelengths for bilinear and biquadratic serendipity finite element meshes. Pracoviště Ústav termomechaniky Kontakt Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Rok sběru 2014
Počet záznamů: 1