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A note on classical damping matrices
Author(s) -
Luco J. Enrique
Publication year - 2008
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.776
Subject(s) - damping matrix , modal , matrix (chemical analysis) , series (stratigraphy) , simple (philosophy) , set (abstract data type) , algebraic number , mathematics , mathematical analysis , engineering , structural engineering , computer science , stiffness matrix , finite element method , materials science , paleontology , philosophy , epistemology , polymer chemistry , composite material , biology , programming language
An alternative damping matrix that leads to classical normal modes and that depends explicitly on a set of prescribed modal damping ratios is presented. The alternative damping matrix can be thought of as a factorized Caughey series that allows for a simple explicit solution for the coefficients of the series and thus avoids the need to solve a potentially ill‐conditioned system of algebraic equations. The relation between the proposed damping matrix and Rayleigh, Caughey and modal damping matrices is examined. Copyright © 2008 John Wiley & Sons, Ltd.