5. Conclusion
In this study, a novel foam-filled double ellipse tube is proposed. First, the circle and ellipse tubes with three different con- figurations(hollow, foam-filled, double foam-filled) are investigated under axial and oblique impact by using the nonlinear finite element code LS-DYNA. The numerical results showed that the foam- filled double ellipse tube has the best crashworthiness performance than tubes with other configurations. Thus, we focus on the optimization of the foam-filled double ellipse tube. Then, based on the DOE results, the Kriging models of the foam-filled ellipse tube, the foam-filled double ellipse tube and foam-filled double circle tube are constructed. The optimal models of the F-DET, F-ET and F-DCT tubes are achieved by using the multiobjective particle swarm optimization (MOPSO) algorithm. After comparing the Pareto fronts of three kinds of tubes, it is obvious that the energy absorption capability per unit mass of the foam- filled double ellipse tubes is larger than the other two tubes. The SEAα of the F-DET tube is 11.77% higher than the F-ET tube and 10.51% higher than the F-DCT tube at the condition that the PCF equals 80KN. This indicates that the F-DET tube is superior to the F-ET tube and F-DCT tube under the multiple loading.