The problem of optimal selective mass scaling for linearized elasto-dynamics is discussed. Optimal selective mass scaling should provide solutions for dynamical problems that are close to the ones obtained with a lumped mass matrix, but at much smaller computational costs. It should be equally applicable to all structurally relevant load cases. The three main optimality criteria, namely eigenmode preservation, small number of non-zero entries and good conditioning of the mass matrix are explicitly formulated in the article. An example of optimal mass scaling which relies on redistribution of mass on a global system level is constructed. Alternative local mass scaling strategies are proposed and compared with existing methods using one modal and two transient numerical examples.
%0 Journal Article
%1 tkachuk2014local
%A Tkachuk, Anton
%A Bischoff, Manfred
%D 2014
%J Computational Mechanics
%K SMS ibb from:maltevonscheven article
%P 1197-1207
%R 10.1007/s00466-013-0961-5
%T Local and global strategies for optimal selective mass scaling
%V 53
%X The problem of optimal selective mass scaling for linearized elasto-dynamics is discussed. Optimal selective mass scaling should provide solutions for dynamical problems that are close to the ones obtained with a lumped mass matrix, but at much smaller computational costs. It should be equally applicable to all structurally relevant load cases. The three main optimality criteria, namely eigenmode preservation, small number of non-zero entries and good conditioning of the mass matrix are explicitly formulated in the article. An example of optimal mass scaling which relies on redistribution of mass on a global system level is constructed. Alternative local mass scaling strategies are proposed and compared with existing methods using one modal and two transient numerical examples.
@article{tkachuk2014local,
abstract = {The problem of optimal selective mass scaling for linearized elasto-dynamics is discussed. Optimal selective mass scaling should provide solutions for dynamical problems that are close to the ones obtained with a lumped mass matrix, but at much smaller computational costs. It should be equally applicable to all structurally relevant load cases. The three main optimality criteria, namely eigenmode preservation, small number of non-zero entries and good conditioning of the mass matrix are explicitly formulated in the article. An example of optimal mass scaling which relies on redistribution of mass on a global system level is constructed. Alternative local mass scaling strategies are proposed and compared with existing methods using one modal and two transient numerical examples.},
added-at = {2021-03-09T13:40:59.000+0100},
author = {Tkachuk, Anton and Bischoff, Manfred},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2ceeff850087f6a8d78508b537eb53dd5/ibb-publication},
doi = {10.1007/s00466-013-0961-5},
interhash = {0c6c26dc6777f954d9b15752daaa0a8b},
intrahash = {ceeff850087f6a8d78508b537eb53dd5},
journal = { Computational Mechanics},
keywords = {SMS ibb from:maltevonscheven article},
pages = {1197-1207},
timestamp = {2021-03-09T12:40:59.000+0100},
title = {Local and global strategies for optimal selective mass scaling},
volume = { 53},
year = 2014
}
