Clustering of modal frequency estimates from different solution sets

A method for the estimation of modal frequencies (frequency and damping) is presented which utilizes many estimates derived from different model orders, data subsets and parameter estimation methods. Clustering of the modal frequencies is viewed in the s-plane in order to identify valid modal frequencies. Results are shown for both synthesized data and test data cases. The method extends the concepts of stability and consistency to what is referred to as a modal frequency density in the s-plane. An important feature of the modal frequency density approach is that the exact model order or number of modal frequencies of the system need not be known in advance. Estimates are made using variations in model order, or number of estimated modal frequencies, over a range which encompasses and exceeds the system under test. The number of pole clusters provides and indication of the number of system poles.