This paper introduces a new hybrid optimization procedure named GA-PSO-SQP for resolution constrained engineering design problems. Certifiable issues in the engineering field are typically expansive scale or nonlinear or constrained optimization problems, very well-designed numerical procedure is this way needed. This coupling is based on the genetic algorithm, the sequential quadratic programming and on the particle swarm optimization united with a projected gradient algorithm to deal constrained optimization problems. Numerical results based on well-known held back engineering design problems are reported and compared. The solutions acquired by the proposed technique are generally improved than those results given by other known methodologies in the open literature.

In this paper, the Particle Swarm Optimization (PSO) is used to determine a good shape parameter of meshfree method with radial basis function (RBF) to get distribution function of Fokker-Planck equation associated to nonlinear stochastic differential equations. Numerical procedures based on Kansa's method and particle swarm optimization are applied to Duffing oscillator model. This paper gives the best shape parameter by PSO by minimizing the Root Mean Square Error (RMSE). The effectiveness of the method is demonstrated and the obtained results are well compared to the available ones.

In recent years, energy generation and harvesting took the attention of many researchers, especially the piezoelectric materials for their unique characteristics. One of the promising techniques for energy harvesting is the ocean wave energy harvester resulting from the pressure coming from the ocean movement waves on a vertical cantilever with piezoelectric patches, this results in a fluid-structure interaction. A mathematical model is presented based on the Stokes equation for the flow and the Euler-Bernoulli beam theory for the structure motion. The finite element method (FEM) coupled with the quadratic differential method (QDM) are used to numerically solve the resulting partial differential equations with an implicit time scheme. The obtained numerical simulations are validated and discussed. Results show clear effect of the water pressure on the cantilever, as well as the pulsatile behavior of the water motion. This paper gives an adaptive numerical scheme to solve the FSI model for energy harvesting of ocean wave motion and the study gives more insights on the understanding of such problems.

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.