中文摘要：

结合非线性拓扑优化方法和连续变厚度轧制技术对汽车保险杠横梁进行了耐撞性设计。推导了基于板壳厚度插值的非线性吸能灵敏度公式,并把灵敏度约束在轴向与周向上。应用该方法对三点弯工况下的保险杠进行优化设计,最终确定了保险杠的厚度分布。优化结果表明,等质量情况下,对比均匀厚度的保险杠,具有连续变厚度（TRB）结构的保险杠吸收能量值平均提升了近30%。

英文摘要：

The crashworthiness of automotive bumper beams was designed with the TRB rolling manufacturing processes by nonlinear topology optimization.For shell structures,the nonlinear sensitivity formulas of energy absorbing were given based on the thickness interpolation.The sensitivity was constrained in both of axial and circumferential directions.The utilization of this method optimized the bumper beams under three-point bending conditions and the thickness distributions of bumper beams were determined.Compared with that of the uniform thickness structure,the crashworthiness of varied thickness structures is found to enhance averagely by nearly 30% under the same mass conditions.