Inverse mass matrix for isogeometric explicit transient analysis via the method of localized Lagrange multipliers

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F19%3A00502781" target="_blank" >RIV/61388998:_____/19:00502781 - isvavai.cz</a>

Result on the web

<a href="https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.5986" target="_blank" >https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.5986</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nme.5986" target="_blank" >10.1002/nme.5986</a>

Result language

angličtina

Original language name

Inverse mass matrix for isogeometric explicit transient analysis via the method of localized Lagrange multipliers

Original language description

A variational framework is employed to generate inverse mass matrices for isogeometric analysis (IGA). As different dual bases impact not only accuracy but also computational overhead, several dual bases are extensively investigated. Specifically, locally discontinuous biorthogonal basis functions are evaluated in detail for B-splines of high continuity and Bezier elements with a standard C-0 continuous finite element structure. The boundary conditions are enforced by the method of localized Lagrangian multipliers after generating the inverse mass matrix for completely free body. Thus, unlike inverse mass matrix methods without employing the method of Lagrange multipliers, no modifications in the reciprocal basis functions are needed to account for the boundary conditions. Hence, the present method does not require internal modifications of existing IGA software structures. Numerical examples show that globally continuous dual basis functions yield better accuracy than locally discontinuous biorthogonal functions, but with much higher computational overhead. Locally discontinuous dual basis functions are found to be an economical alternative to lumped mass matrices when combined with mass parameterization. The resulting inverse mass matrices are tested in several vibration problems and applied to explicit transient analysis of structures.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20302 - Applied mechanics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

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

Publication year

2019

Confidentiality

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

Name of the periodical

International Journal for Numerical Methods in Engineering

ISSN

0029-5981

e-ISSN

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Volume of the periodical

117

Issue of the periodical within the volume

9

Country of publishing house

GB - UNITED KINGDOM

Number of pages

28

Pages from-to

939-966

UT code for WoS article

000457713500001

EID of the result in the Scopus database

2-s2.0-85056729397