An efficient algorithm, fast frequency response analysis (FFRA) algorithm, is developed to solve the modal frequency response problem for large structures with structural damping. The FFRA algorithm achieves O(m~2) operations at each excitation frequency, where m is the number of modes used to represent the response, by reformulating the modal FRA. Therefore, the newly developed algorithm FFRA greatly improves the performance of the damped modal FRA problem compared with existing methods while observing the same accuracy.
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