This paper took the metal thin-walled components as the investigation tool on the basis of different inducing grooves. The maximization of the Specific Energy Absorption (SEA) and the minimization of the maximum peak force ( ) were considered as the multiobjective functions, the radius of the inducing grooves|, distance between inducing grooves and free end, distance of inducing groovs were chosen as design variables. The optimization was based on the minimization of and the maximization of SEA. The objective functions were constructed based on the Radial Basis Function (RBF), the multiobjective optimization for the thin-walled with the different inducing grooves, which was presented by using the ideal point method, and considering the impact on the SEA and of the convex grooves, indentations, alternately convex grooves and indentations. After the optimization we can get the ideal indentations.