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Evaluation of orthogonal damping matrices
Author(s) -
Wilson E. L.,
Penzien J.
Publication year - 1972
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/nme.1620040103
Subject(s) - damping matrix , series (stratigraphy) , modal , matrix (chemical analysis) , mode (computer interface) , damping ratio , orthogonal matrix , mathematics , mathematical analysis , modal testing , structural engineering , modal analysis , physics , engineering , computer science , orthogonal basis , materials science , vibration , finite element method , acoustics , geology , stiffness matrix , paleontology , quantum mechanics , polymer chemistry , composite material , operating system
Two methods for the numerical evaluation of orthogonal damping matrices are developed. The first relates the modal damping ratios to the coefficients of the Caughey series. The second is a direct approach which expresses the damping matrix as a sum of a series of matrices each of which produces damping in a particular mode. It is found that the direct approach is more convenient to apply and is less numerically sensitive than the series approach.