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Inverse mass matrix via the method of localized lagrange multipliers
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SYSNO ASEP 0483816 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Inverse mass matrix via the method of localized lagrange multipliers Author(s) Gonzalez, J.G. (ES)
Kolman, Radek (UT-L) RID
Cho, S.S. (KR)
Felippa, C.A. (US)
Park, K.C. (US)Number of authors 5 Source Title 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. - ISBN 978-618-82844-1-8 Pages s. 1304-1311 Number of pages 8 s. Publication form Print - P Action COMPDYN 2017 /6./ Event date 15.06.2017 - 17.06.2017 VEvent location Rhodes Country GR - Greece Event type WRD Language eng - English Country GR - Greece Keywords inverse mass matrix ; explicit time integration ; localized Lagrange multipliers ; partitioned analysis Subject RIV BI - Acoustics OECD category Acoustics Institutional support UT-L - RVO:61388998 Annotation 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.
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 2018
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