The influence of the normal strain effect on the control and design optimization of functionally graded plates

A multiobjective design and control optimization problem for functionally graded (FG) plates is presented using a first-order plate theory including the normal strain effect. The aim of the optimization is to minimize the vibrational response and to maximize the buckling loads of FG plates with constraints on the control energy and plate thickness. An integrated approach for the simultaneous design and active control optimization is presented to determine the optimal level of a closed loop control function. Plate thickness and a homogeneity parameter of FG plates are used as design variables. Numerical results for the optimal control force and the total energy of FG plates are presented in various cases of boundary conditions. The influence of the normal strain effect on the accuracy of the obtained results is illustrated. The effectiveness of the present control and design procedures are examined.