Optimal Design of Measurement Programs for the Parameter Identification of Dynamic Systems

The design of a measurement program devoted to parameter identification of structural dynamic systems is considered. The design problem is formulated as an optimization problem to minimize the total expected cost, i.e. the cost of failure and the cost of the measurement program. All the calculations are based on a priori knowledge and engineering judgement. One of the contributions of the approach is that the optimal number of sensors can be estimated. This is shown in a numerical example where the proposed approach is demonstrated. The example is concerned with design of a measurement program for estimating the modal damping parameters in a simply supported plane, vibrating beam model. Results show an optimal number of sensors and their locations.