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Design of optimal actuators for piezoelastic structures based on analytical computations and measurement data

A hybrid approach involving both analytical computations and measurement data is proposed for designing optimal actuators for piezoelastic structures. The analytical part comprises the linear mathematical structure of models of beams, plates or membranes which are appropriately described by mode shapes and modal paramters, i.e. eigenfrequencies, modal gains and modal damping. Also, the governing differential equation for perfect compensation of external loads due to piezoelectric actuation is applied. The measurement part relies on identification of mode shapes and parameters under an external load using experimental modal analysis. The real-world data is fed into the analyical part with the ultimate goal of achieving a match between the modal gains due to external loading and piezoelectric actuation. The algorithm which can be extended to various mathematical models of piezoelastic structures, is evaluated on a beam structure which is clamped at both ends.