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Structural Dynamic Analysis with Generalized Damping Models: Identification by Sondipon Adhikari

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Nomenclature

gsz1.gif diagonal element of the modal damping matrix
gsz2.gif terms in the expansion of approximate complex modes
α1, α2 proportional damping constants
αj coefficients in Caughey series, j = 0, 1, 2, ···
0j a vector of j zeros
A state-space system matrix
aj a coefficient vector for the expansion of jth complex mode
α a vector containing the constants in Caughey series
gsz3.gif frequency response function of an SDOF system
B state-space system matrix
bj a vector for the expansion of jth complex mode
gsz4.gif forcing vector in the Laplace domain
gsz5.gif modal forcing function in the Laplace domain
gsz6.gif effective forcing vector in the Laplace domain
gsz7.gif response vector in the Laplace domain
gsz8.gif Laplace ...

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