Nomenclature
 |
diagonal element of the modal damping matrix |
 |
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 |
 |
frequency response function of an SDOF system |
| B | state-space system matrix |
| bj | a vector for the expansion of jth complex mode |
 |
forcing vector in the Laplace domain |
 |
modal forcing function in the Laplace domain |
 |
effective forcing vector in the Laplace domain |
 |
response vector in the Laplace domain |
 |
Laplace ... |
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