Stability maximization for layered moving web with total mass constraint
In this paper we study the application of numerical evolutonary method (genetic algorithm) for the problems of instability velocity maximization and finding the best material properties distribution in axially moving layered webs (panels and plates) is presented. The thermomechanical model has been worked out for description of axially movement and transverse elastic deformations and vibrations of composite materials including instability phenomena and corresponding eigenvalue problem formulation. The aim of our studies has been to investigate an effective layers composition and perform sensitivity analysis of global optimal solutions and their dependence on geometric and physical-mechanical problem parameters. A key point of proposed evolutionary optimization algorithm is that the effiiency of the procedure is dependent on the used averaging techniques and obtained analytical expressions for effective modulas.