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摘要：
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为了提高车辆A柱加强板的热冲压质量，提出了响应面法与NSGA-II算法相结合的工艺多目标优化方法。以最小化冲压件的最大减薄率和最大增厚率为优化目标，选择板料初始温度、摩擦系数、上下模压料力等作为优化参数，使用Box-Behnken方法设计了4因素3水平实验，依据Autoform有限元软件得到了实验仿真结果。基于二阶响应面法，拟合质量参数-工艺参数之间的非线性关系，经决定系数法检验，响应面法的拟合精度较高。通过基因编码将优化问题转化为寻优问题，使用NSGA-II算法搜索到多目标优化的Pareto前沿解。选择Pareto解集中的一个优化方案：初始温度为947.25 ℃、摩擦系数为0.429、上模压料力为3.06 MPa、下模压料力为1.05 MPa。经仿真和实验验证，优化后冲压件的最大减薄率均值减小了6.79%，最大增厚率均值减小了8.47%，说明优化后冲压件质量明显提高。另外，优化后冲压件的标准差略有下降，说明优化后冲压件质量的一致性略有提高。
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In order to improve the hot stamping quantity of vehicle A-pillar reinforced plate, the multi-object process optimization method was proposed by combining response surface method and NSGA-II algorithm, and taking the maximum thinning rate and the maximum thickening rate as the optimizing goals, the initial temperature of plate, the friction coefficient, the pressing forces of upper and lower dies etc. were selected as the optimizing parameters. Then, four-factor and three-level test was designed by Box-Behnken method, and the experimental simulation results were obtained by finite element software Autoform. Based on the second order response surface method, the nonlinear relationship between quality parameters and process parameters was fit, and the fitting accuracy of the response surface method was very high by the test of determination coefficient method. Furthermore, the optimization problem of parameters were transformed into the searching optimization problem by genetic coding, and Pareto frontier solutions of multi-object optimization were solved by NSGA-II algorithm. Taking one optimal scheme in Pareto solution set, the initial temperature is 947.25 ℃, the friction coefficient is 0.429, the pressing force of upper die is 3.06 MPa, and the pressing force of lower die is 1.05 MPa. The simulation and experiment verification show that after optimization the mean value of the maximum thinning rate for stamping part decreases by 6.79%, and the mean value of the maximum thickening rate decreases by 8.47%, which indicates that the quality of stamping part is improved obviously. Besides, the standard deviation of stamping part after optimization drops a bit, and it means that the quality consistency of stamping part improves a bit after optimization.
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基金项目：
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教育部科技发展中心高校产学研创新基金（2018 A06035）;广安市2019年市级科技创新重点基础研究项目(项目序号:20);2020年度广安市市级指导性科技计划项目（项目序号：01）
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作者简介：
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李有通（1986-），男，学士，讲师，E-mail：859135985@qq.com
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