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Mass matrices by minimization of modal errors
Author(s) -
Hansson PerAnders,
Sandberg Göran
Publication year - 1997
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19971130)40:22<4259::aid-nme262>3.0.co;2-p
Subject(s) - eigenvalues and eigenvectors , diagonal , mass matrix , simple (philosophy) , modal , matrix (chemical analysis) , minification , diagonal matrix , mathematics , measure (data warehouse) , algorithm , mathematical optimization , computer science , physics , geometry , materials science , data mining , quantum mechanics , nuclear physics , polymer chemistry , neutrino , philosophy , epistemology , composite material
A new approach to constructing mass matrices is presented, based on expressing it through use of a variable parameter. This allows the mass matrix to be adjusted in such a way that a simple eigenvalue problem get the best solution possible in terms of some error measure. This procedure is used to create both diagonal mass matrices and mixed mass matrices. © 1997 John Wiley & Sons, Ltd.