Reciprocal mass matrices for isogeometric analysis via the method of localized lagrange multipliers

0497948 - ÚT 2019 CZ eng A - Abstract
Gonzáles, J.A. - Kopačka, Ján - Kolman, Radek - Cho, S.S. - Park, K.C.
Reciprocal mass matrices for isogeometric analysis via the method of localized lagrange multipliers.
Advanced Modelling of Wave Propagation in Solids. Praha: Institute of Thermomechanics, Czech Academy of Sciences, 2018 - (Kolman, R.; Berezovski, A.; Kruisová, A.). s. 53-54. ISBN 978-80-87012-67-3.
[International Conference on Advanced Modelling of Wave Propagation in Solids /2./. 17.09.2018-21.09.2018, Praha]
R&D Projects: GA MŠMT(CZ) EF15_003/0000493; GA ČR(CZ) GA16-03823S; GA ČR(CZ) GA17-22615S; GA ČR GA17-12925S
Source of funding: O - Operational programmes
Institutional support: RVO:61388998
Keywords : reciprocal mass matrix * isogeometric analysis * Bézier extraction * localized Lagrange multipliers
OECD category: Applied mechanics
http://wavemodelling2018.it.cas.cz

An efficient method for generating the mass matrix inverse of structural dynamic problems is presented, which can be tailored to improve the
accuracy of target frequency ranges and/or wave contents. The various boundary conditions are realized by the the method of localized Lagrange
multipliers. It is shown that the accuracy of the present inverse mass matrix is almost identical to that of a conventional consistent mass matrix or a combination of lumped and consistentmassmatrices. Numerical experiments with the proposed inverse mass matrix are conducted to validate its effectiveness when applied to vibration analysis of bars, beams, and plain stress problems.
Permanent Link: http://hdl.handle.net/11104/0291168