Optimal Sensor Placement for Mode Shapes Via Shannon's Sampling Theorem

摘要

Abstract:The feasibility of using Shannon's sampling theorem to reconstruct exact mode shapes of a structural system from a limited number of sampling points is investigated. Shannon's sampling theorem for the time domain is reviewed. The theorem is then extended to the spatial domain. Mode shapes are reconstructed from a limited amount of data, and the reconstructed mode shapes are compared with the exact mode shapes. On the basis of the results, simple rules are proposed for the placement of accelerometers in modal parameter extraction experiments. The feasibility of applying the rules and the extended Shannon's theorem to damage localization in a simple structure is demonstrated.