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Inverse mass matrix via the method of localized lagrange multipliers
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SYSNO ASEP 0486539 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Inverse mass matrix via the method of localized lagrange multipliers Author(s) González, J.A. (ES)
Kolman, Radek (UT-L) RID
Cho, S.S. (KR)
Felippa, C.A. (US)
Park, K.C. (US)Number of authors 5 Source Title International Journal for Numerical Methods in Engineering. - : Wiley - ISSN 0029-5981
Roč. 113, č. 2 (2018), s. 277-295Number of pages 19 s. Publication form Print - P Language eng - English Country GB - United Kingdom Keywords explicit time integration ; inverse mass matrix ; localized Lagrange multipliers ; partitioned analysis Subject RIV BI - Acoustics OECD category Applied mechanics R&D Projects EF15_003/0000493 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA17-22615S GA ČR - Czech Science Foundation (CSF) Institutional support UT-L - RVO:61388998 UT WOS 000418270100005 EID SCOPUS 85038433681 DOI 10.1002/nme.5613 Annotation 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 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 using the standard FEM procedure. The various boundary conditions are realized by the the method of localized Lagrange multipliers. In particular, the present paper constructs the kernel inverse matrix by using the standard FEM elemental mass matrices. 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 consistent mass matrices. 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. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2019 Electronic address https://onlinelibrary.wiley.com/doi/10.1002/nme.5613
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