汽车车身耐撞性设计参数的区间稳健性优化

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (5) : 37-44.

论文

汽车车身耐撞性设计参数的区间稳健性优化

王琼,刘桂萍

作者信息 +

Robust optimization design model for vehicle body crashworthiness based on parametric interval analysis

WANG Qiong, LIU Guiping

Author information +

文章历史 +

摘要

基于区间分析，提出了一种考虑公差的汽车车身耐撞性稳健优化设计模型，可在有效降低耐撞性能对设计参数波动敏感性的同时实现公差范围的最大化。该模型首先利用对称公差来描述汽车碰撞模型中车身关键耐撞部件的主要尺寸、位置和形状等设计参数本身的不确定性，然后将参数设计和公差设计相结合，建立了以稳健性评价指标和公差评价指标为优化目标，设计变量名义值和公差同步优化的多目标优化模型。再次，利用区间可能度处理不确定约束，将该优化模型转换为确定性多目标优化模型。最后，将该模型应用于两个汽车耐撞性优化设计问题，并通过序列二次规划法和改进的非支配排序遗传算法进行求解，结果表明该方法及稳健优化设计模型可行且实用。

Abstract

A robust optimization design model for vehicle body crashworthiness considering tolerances was proposed based on interval analysis to effectively reduce sensitivity of crashworthiness to fluctuation of design parameters, and realize maximization of tolerances’ ranges.Firstly, uncertainties of design parameters, such as, size, position and shape of vehicle body’s key collision resistant parts in vehicle collision model were described with symmetric tolerances.Then, parametric design was combined with tolerance design to establish a multi-objective optimization model with robustness evaluation indexes and tolerance evaluation indexes taken as optimization objectives, and synchronous optimization of nominal values of design variables and their tolerances.Thirdly, the interval possible degree was used to deal with uncertain constraints, and the optimization model with uncertainties was converted into a deterministic multi-objective optimization one.Finally, the proposed model was applied in two vehicle crashworthiness optimization design problems, and they were solved using the sequence quadratic programming method and the improved non-dominant sorting genetic algorithm.The results showed that the proposed robust optimization design model and method are feasible and practical.

导出引用

王琼,刘桂萍. 汽车车身耐撞性设计参数的区间稳健性优化[J]. 振动与冲击, 2020, 39(5): 37-44

WANG Qiong, LIU Guiping. Robust optimization design model for vehicle body crashworthiness based on parametric interval analysis[J]. Journal of Vibration and Shock, 2020, 39(5): 37-44

参考文献

[1] BEN H Y, ELISHAKOFF I. Convex models of uncertainties in applied mechanics [M]. Amsterdam: Elsevier Science Publisher, 1990, 3 -42.
[2] 邱志平, 王晓军, 谢孟辉. 工程结构不确定优化设计技术[M]. 北京: 科学出版社, 2013.
QIU Zhiping, WANG Xiaojun, XIE Menghui. Uncertain optimization design technology for engineering structures [M]. Beijing City: Science Press, 2013.
[3] PARKD K, JANG C D, LEE S B, et al. Optimizing the shape of a bumper beam section considering pedestrian protection [J]. International Journal of Automotive Technology, 2010, 11 (4) : 489 -494.
[4] GU L, XU M, QI G J, et al. Computational robust design methods for vehicle crash safety [C]. Infats Proceedings of the 4th International Forum of Automotive Traffic Safety, 2005.
[5] GU L, YANG R J, THO C H, et al. Optimisation and robustness for crashworthiness of side impact [J]. International Journal of Vehicle Design, 2001, 26 (4) : 348- 360.
[6] ZHU P, ZHANG Y, CHEN G L. Metamodel-based lightweight design of an automotive front-body structure using robust optimization [J]. Proceedings of the institution of mechanical engineers PART D-Journal of automobile engineering, 2009, 223 (9) :1133 -1147.
[7] ASPENBERG D, JERGEUS J, NILSSON L. Robust optimization of front members in a full frontal car impact [J]. Engineering Optimization, 2013, 45 (3) : 245 -264.
[8] GU X G, SUN G Y, LI G Y, et al. A comparative study on multiobjective reliable and robust optimization for crashworthiness design of vehicle structure [J]. Structural and Multidisciplinary Optimization, 2013, 48 (3) : 669 -684.
[9] SUN G Y, LI G Y, ZHOU S W. Crashworthiness design of vehicle by using multiobjective robust optimization [J]. Structural and Multidisciplinary Optimization, 2011, 44 (1) : 99 -110.
[10] SUN G Y, ZHANG H L, FANG J G. A new multi-objective discrete robust optimization algorithm for engineering design [J]. Applied Mathematical Modelling, 2017, 53 : 602 - 621.
[11] ZHANG W, CHEN D. Simulation study on the prediction of dangerous conditions for occupant in a running vehicle equipped with airbag [C]. WCSMO2015, Sydney Australia, 2015.
[12] 崔杰, 张维刚, 常伟波, 等. 基于双响应面模型的碰撞安全性稳健性优化设计 [J]. 机械工程学报, 2011, 47 (24) : 97 -103.
CUI Jie, ZHANG Weigang, CHANG Weibo, et al. Robustness optimization for crash safety based on dual-response surface model [J]. Journal of Mechanical Engineering, 2011, 47 (24) : 97-103.
[13] 李铁柱, 李光耀, 陈涛, 等. 基于Kriging近似模型的汽车乘员约束系统稳健性设计 [J]. 机械工程学报, 2010, 22 : 123 -129.
LI Tiezhu, LI Guangyao, CHEN Tao, et al. Robustness design of occupant restraint system based on kriging model [J]. Journal of Mechanical Engineering, 2010, 22 : 123 -129.
[14] 郑健, 成艾国, 董立强, 等. 田口鲁棒设计方法在汽车耐撞性优化中的应用 [J]. 汽车工程, 2011, 33 (9) : 772 -776.
ZHENG Jian, CHENG Aiguo, DONG Liqiang, et al. The application of Taguchi robust design to vehicle crashworthiness optimization[J]. Automotive Engineering, 2011, 33 (9) : 772 - 776.
[15] 岳文辉, 杨书仪, 文泽军, 等. 机械冲击耐撞性与稳健设计 [J]. 振动与冲击, 2007, 26 (8) : 76 -80.
YUE Wenhui, YANG Shuyi, WEN Zejun, et al. A discussion on impact tolerance and robust design of mechanical systems [J]. Journal of Vibration and Shock, 2007, 26 (8) : 76 -80.
[16] 钱立军, 宋佳, 谷先广. 基于行人小腿保护的保险杠结构稳健性优化设计 [J]. 中国机械工程, 2015, 26 (7) : 982 -987.
QIAN Lijun, SONG Jia, GU Xianguang. Robustness optimization design of bumper structure based on protection of pedestrian lower leg [J]. China Mechanical Engineering, 2015, 26 (7) : 982 -987.
[17] 邱瑞斌, 陈园, 雷飞, 等. 基于6σ稳健设计的轿车侧碰车身B柱轻量化研究 [J]. 机械强度, 2016, 38 (3) : 502 -508.
QIU Rinbing, CHEN Yuan, LEI Fei, et al. Lightweight of the vehicle B pillar based on six sigma robust design under side impact [J]. Journal of Mechanical Strength, 2016, 38 (3) : 502 -508.
[18] 倪士林, 袁廷辉, 刘会霞, 等. 基于行人保护的某微型客车前部结构设计 [J]. 机电工程, 2017, 34 (2) : 125 -130.
NI Shilin, YUAN Tinhui, LIU Huixia, et al. Front structure design of a mini-bus based on pedestrian protection [J]. Journal of Mechanical and Electrical Engineering, 2017, 34 (2) : 125 -130.
[19] 胡远志, 曾必强, 谢书港. 基于Ls-DYNA和HyperWorks的汽车安全仿真与分析 [M]. 北京: 清华大学出版社, 2011.
HU Yuanzhi, ZENG Biqiang, XIE Shugang. Vehicle safety simulation and analysis based on Ls-DYNA and Hyper- Works [M]. Beijing City: Tsinghua University press, 2011.
[20] SIEGERT Z. Multi-objective topology and size optimization of high-speed vehicle passenger catamaran structure by genetic algorithm [J]. Marine Structures, 2010, 23 (4) : 405 -433.
[21] 陆善彬, 蒋伟波, 左文杰. 基于等效静态载荷法的汽车前端结构抗撞性尺寸和形貌优化 [J]. 振动与冲击, 2018, 37 (7) : 56 -61.
LU Shanbing, JIANG Weibo, ZUO Weijie. Size and morphology crashworthiness optimization for automotive frontal structures using equivalent static loads method [J]. Journal of Vibration and Shock, 2018, 37 (7) : 56 -61.
[22] JIANG C, XIE H C, ZHANG Z G, et al. A new interval optimization method considering tolerance design [J]. Engineering Optimization, 2015, 47 (12) : 1637 -1650.
[23] JIANG C, ZHANG Z G, ZHANG Q F, et al. A new nonlinear interval programming method for uncertain problems with dependent interval variables [J]. European Journal of Operational Research, 2014, 238 (1) : 245 -253.
[24] GYEONG-MI CHO. Log-barrier method for two-stage quadratic stochastic programming [J]. Applied Mathematics Computation, 2005, 164 (1) : 45 -69.
[25] 韩旭. 基于数值模拟的设计理论与方法 [M]. 北京: 科学出版社, 2016.
HAN Xu. Numerical Simulation-based Design: Theory and methods [M]. Beijing City: Science Press, 2016.
[26] DEB K, AGRAWAL S, PRATAP A, et al. A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II [J]. Lecture Notes in Computer Science, 2000, 1917 : 849 -858.
[27] 李恒. 车身前部参数化模型的抗撞性分析与修改 [D]. 长春: 吉林大学, 2013.
LI Heng. Crashworthiness analysis and modification for front parameterized model of vehicle body [D]. Changchun City: Jilin University, 2013.
[28] 陈亚枫, 白中浩. 泡沫填充多边形单锥管与双锥管斜向加载下耐撞性分析 [J]. 振动与冲击, 2017, 36 (6) : 18 -26.
CHEN Yafeng, BAI Zhonghao. Crashworthiness analysis of foam-filled single and bitubal polygonal tapered thin-walled tubes under oblique impact loading [J]. Journal of Vibration and Shock, 2017, 36 (6) : 18 -26.
[29] 李云雁, 胡传荣. 试验设计与数据处理 [M]. 北京:化学工业出版社, 2008.
LI Yunyan, HU Chuanrong. Experiment design and data processing [M]. Beijing City: Chemistry Industry Press, 2008.