Constraint-based parameterization is of vital importance to the airbreathing hypersonic vehicle due to the strong integration between the scramjet engine and the airframe. In the current study, an enhanced free-form deformation approach is proposed and utilized to parameterize the EXPERT geometric configuration with its prescribed constraints satisfied. Considering the boundary feature of the Bernstein basis function, the non-parallelepiped free-form deformation lattice is assigned quickly and modified automatically. The configuration is optimized by the nondominated sorting genetic algorithm II (NSGA II) coupled with the Kriging surrogate model. The maximum lift-to-drag ratio, the maximum volumetric efficiency and the minimum heating rate at the stagnation point are all taken as the objective functions in the optimization process. At last, the Pareto front is obtained, and the surrogate-based predicted results show reasonable agreement with the data obtained by the engineering approaches. Finally, some optimized configurations are reconstructed, and the preservation of the prescribed constraints is observed.

由于超燃冲压发动机和机身之间的紧密结合，基于约束的参数化对呼吸超音速飞行器至关重要。在当前的研究中，提出了一种增强的自由形式变形方法，并利用它满足了其规定的约束条件来对EXPERT几何形状进行参数化。考虑到伯恩斯坦基函数的边界特征，可以快速分配并自动修改非平行六面体自由形变形晶格。通过非主导排序遗传算法II（NSGA II）与Kriging替代模型相结合来优化配置。在优化过程中，最大的升阻比，最大的容积效率和最小的停滞升温速率均作为目标函数。最后，获得了帕累托锋，并且基于代理的预测结果与工程方法获得的数据显示出合理的一致性。最后，重构一些优化的配置，并观察到保留规定的约束。