Modal optimization approach for composite aeroelastic wing model based on a derivative-free BFGS method

Abstract

Abstract The optimization problem of aeroelastic wing model may lead to highly coupled nonlinear equations whose Jacobian matrix is hard to be calculated, followed by adjusting the variable domain due to design variable importance in terms of their sensitivity. To overcome the problem, an optimization function for the modal frequency is established. And a suitable line search approach is combined with the BFGS method to improve its efficiency. Some numerical results are reported to show efficiency of the proposed method. An integrated modal optimization approach based on the BFGS is developed for the model design of a composite aeroelastic wing model. The stiffness of the key beams of the wing model is designed to be the optimization variables, bending frequency and torsional frequency are designed to be the optimization objective. Then the modal of CHN-T1 is optimized, it is shown that the method proposed is suitable for the optimization of composite aeroelastic wing model with a high efficiency.