Hybrid optimization procedure and active vibration control of beams with piezoelectric patches

The aim of this paper is the elaboration of a new hybrid optimization procedure based on a coupling methodological approach for solving global optimization problem and active vibration control. This coupling is based on the genetic algorithm, the sequential quadratic programming and on the particle swarm optimization combined with a projected gradient algorithm. The proposed methodological approach and its convergence to the global solution are proved through the tested solutions. The proposed methodological approach is applied to constrained optimal piezoelectric actuators location. The test results indicate that the proposed algorithm is extremely robust and can be successfully used to solve global optimization problems. Based on the obtained optimal location, active vibration control of beams with multi-piezoelectric patches is elaborated.