Repositorio de producción científica de la Universidad de Sevilla

Inverse mass matrix via the method of localized lagrange multipliers

 

Advanced Search
 
Opened Access Inverse mass matrix via the method of localized lagrange multipliers
Cites

Show item statistics
Icon
Export to
Author: González, José A.
Kolman, Radek
Cho, Sang S.
Felippa, C.A.
Park, K.C.
Coordinator/Director: Papadrakakis M., Fragiadakis M.
Department: Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería
Date: 2017-06
Published in: COMPDYN 2017 - Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (2017), p 1304-1311
ISBN/ISSN: 978-618828441-8
Document type: Presentation
Abstract: 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 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.
Cite: González, J., Kolman, R., Cho, S.S., Felippa, C.A. y Park, K.C. (2017). Inverse mass matrix via the method of localized lagrange multipliers. En COMPDYN 2017 - Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (1304-1311), Rhodes Island, Greece: National Technical University of Athens.
Size: 495.4Kb
Format: PDF

URI: https://hdl.handle.net/11441/87649

DOI: 10.7712/120117.5493.17792

See editor´s version

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)