Evolutionary multi-objective optimization of laminates

The paper deals with the application of the global optimization methods to the multi-objective optimization of laminates. A multi-layered, fibrereinforced and hybrid laminates are considered. Different optimization criteria connected with the laminates’ cost, modal properties and stiffness are taken into account. As the optimization criteria usually cannot be satisfied simultaneously, the multi-objective optimization methods are employed. The multi-objective evolutionary algorithm with the Pareto approach is used as the global optimization method. The Finite Element Method is used to solve a boundary-value problem for the laminates. The stacking sequence and the number or plies made of different materials are design variables. The discrete as well as continuous fibre orientation angles in particular plies are considered. Numerical example presenting non-dominated solutions for two contradictory optimization criteria is attached.