Abstract
The response to stationary random excitation of multidegree‐of‐freedom systems which do not possess classical normal modes is obtained using a matrix perturbation technique. It is assumed that the damping matrix [C] is such that the off‐diagonal elements of the matrix [Φ]T[C][Φ], where [Φ] is the modal matrix associated with the undamped system, are small compared to its diagonal elements. General expressions for the correlation and spectral density matrices of the response are given. Examples of systems with two degrees of freedom are presented considering first and second orders of perturbation.
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