Inverse mass matrix via the method of localized lagrange multipliers

0483816 - ÚT 2018 RIV GR eng C - Conference Paper (international conference)
Gonzalez, J.G. - Kolman, Radek - Cho, S.S. - Felippa, C.A. - Park, K.C.
Inverse mass matrix via the method of localized lagrange multipliers.
COMPDYN 2017. 6th International conference on computational methods in structural dynamics and earthquake engineering. Proceedings. Athens: National Technical University of Athens, 2017 - (Papadrakakis, M.; Fragiadakis, M.), s. 1304-1311. ISBN 978-618-82844-1-8.
[COMPDYN 2017 /6./. Rhodes (GR), 15.06.2017-17.06.2017]
Institutional support: RVO:61388998
Keywords : inverse mass matrix * explicit time integration * localized Lagrange multipliers * partitioned analysis
OECD category: Acoustics
https://2017.compdyn.org/

An efficient method for generating the mass matrix inverse is presented, which can be tailored to improve the accuracy of target frequency ranges and/or wave contents. The present method bypasses the use of biorthogonal construction of a kernel inverse mass matrix that requires special procedures for boundary conditions and free edges or surfaces, and constructs the free-free inverse mass matrix employing the standard FEM procedure. The various boundary
conditions are realized by the the method of localized Lagrange multipliers. Numerical experiments with the proposed inverse mass matrix method are carried out to validate the effectiveness proposed technique when applied to vibration analysis of bars and beams. A perfect agreement is found between the exact inverse of the mass matrix and its direct inverse computed through biorthogonal basis functions.



Permanent Link: http://hdl.handle.net/11104/0279204