This paper presents an optimal design method of number and placements of piezoelectric patch actuators in active vibration control of a plate. Eigenvalue distribution of energy correlative matrix of control input force is applied to determine optimal number of the required actuators. Genetic algorithms (GAs) using active vibration control effects, which are taken as the objective function, are adopted to search optimal placements of actuators. The results show that disturbance exerted on a plate is a key factor of determining optimal number and placements of actuators in active structural vibration control, and a global and efficient optimization solution of multiple actuator placements can be obtained using GAs.
Hua Ning, H. (2004), "Optimal number and placements of piezoelectric patch actuators in structural active vibration control", Engineering Computations, Vol. 21 No. 6, pp. 651-665. https://doi.org/10.1108/02644400410545218
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