Abstract

The determination of optimal locations of actuators is an important issue in the field ofvibration control in structures. In this paper, a practical method for the optimal actuatorplacement in a truss-cored sandwich plate based on independent modal space control(IMSC) is proposed. It is shown that the modal strain energy (MSE) alone isnot enough to determine the actuator locations since the system may becomeuncontrollable, especially when the structure is symmetrical. Moreover, it is found that thecontrollability can be measured through the singular values of the input matrix. Thereforethe singular values of the input matrix together with the modal strain energymay serve as an effective optimization index for actuator placement. Numericalexamples are presented to show that the maximal actuator force can be significantlyreduced after the optimization in order to achieve an equal modal control force.

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