Abstract
The effect of dissipation on the fluctuations of the natural frequency spectra of complex systems is studied. Specifically the correlations observed in numerically calculated, damped, natural frequency spectra are compared with the correlation predictions of the Gaussian orthogonal ensemble (GOE) of random matrix theory. It is found that damped natural frequency spectra posses intermodal correlations in accordance with the predictions of the GOE provided damping is moderate. As dissipation levels rise, as measured by the system’s reverberance, it is indicated that the correspondence between the predictions of the GOE and observed fluctuations weakens. The results of a theoretical perturbation analysis are presented which support the observed trends.
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