Abstract
An approach is developed combining experimental modal analysis with operational deflection measurements to determine the contributions of individual modes to the response of a structure subjected to multiple uncorrelated sources. Singular value decomposition is applied to measured cross spectral functions to decompose the response measurements into contributions associated with each significant source. A modal decomposition is then performed on fully coherent deflection patterns associated with each source. The modal participation due to each source in the total response is determined. Damping and natural frequency estimates from the modal analysis are used to determine the generalized force inputs to each mode from each source. Finally, by constraining possible degrees of freedom, estimates of the excitation force vectors associated with each source are made. To demonstrate the approach, standard experimental modal analysis techniques are applied to frequency response functions generated via a numerical model. The results are then combined with numerical simulations of both single and multi-source response measurements to obtain the modal participation spectra. These results are further reduced to determine the generalized forces and physical force vectors associated with each source.
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