基于概率-凸集混合模型的汽车正面碰撞结构可靠性优化设计

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摘要本文基于概率和凸集模型研究汽车正面碰撞可靠性优化设计问题。根据汽车吸能结构厚度、材料参数等不确定参数类型，分别采用概率和多椭球凸模型进行描述，以汽车正面碰撞安全性可靠性指标为约束，考虑汽车吸能结构质量为优化目标，建立了一种基于混合模型的可靠性优化设计模型。采用拉丁方试验设计构造了目标函数和约束函数的Kriging近似模型，利用功能度量法求解可靠度指标值，通过基于移动因子序列优化与可靠性评定将嵌套优化解耦为单层次优化。实际算例表明算法具有较高的计算效率及精度，对实际设计工作有一定参考价值。

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关键词 ：概率, 凸模型, 混合模型, 序列优化与可靠性评定, 优化

Abstract：

The reliabiltiy-based design optimization problem of the vehicle frontal impact based on probability-convex hybrid model is investigated in this paper. According to the different types of uncertainty parameters for the thickness and material parameters of an absorbing energy structure, probability and convex set models are adopted to describe the uncertainties, respectively. The reliability indices for the vehicle frontal impact safety are choosed as reliability constraints.The weight of the absorbing energy structure is selected as the objective of optimization.The optimization incorporating mixed reliability indices constraints is then formulated for the vehicle frontal impact design problem.The Kriging models for objective and constraint functions are constructed with Latin hypercube experiment design. The reliability indices are solved by a performance measure method. The nested optimization is transformed into a single-level optimizastion problem by using the Sequential Optimization and Reliability Assessment (SORA) based on shifting factors. Examples have showed the efficiency and accuracy of the presented algorithm. This algorithm can supply some beneficial references for designers．

Key words： Probability Convex model Hybrid model Sequential Optimization and Reliability Assessment Optimization

收稿日期: 2014-08-07 出版日期: 2016-01-25

引用本文:

李方义1,2, 荣见华1, 胡林1, 李凤玲1，易继军 1. 基于概率-凸集混合模型的汽车正面碰撞结构可靠性优化设计[J]. 振动与冲击, 2016, 35(3): 215-220.
Li Fangyi1,2 Rong Jianhua1 Hu Lin1 Li Fengling1 Yi Jijun1. The Reliability-based Design Optimization of structures for the vehicle frontal impact based on a probability-convex hybrid model. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(3): 215-220.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I3/215

[1] 王国春，成艾国，胡朝辉，等．基于Kriging模型的汽车前部结构的耐撞性优化 [J]．汽车工程，2011，33(3): 208-212.
WANG Guo-chun,CHENG Ai-guo, HU,CHAO-hui, et al．Crashworthiness optimization of vehicle frontal crash based on Kriging model [J]. Automotive Engineering，2011，33(3): 208-212.
[2] 王金轮，兰凤崇，陈吉清．考虑材料变形路径及应变率的车身前端吸能结构优化 [J]．汽车工程，2013，35(3): 265-271.
WANG Jin-lun, LAN Feng-chong, Chen Ji-qing. Optimization of frontal energy-absorbing structures under considering the material deformation path and strain rate effect [J]．Automotive Engineering，2013，35(3): 265-271.
[3] 张勇，林福泳．铝泡沫填充薄壁结构耐撞可靠性优化设计 [J]．机械工程学报，2011，47(22): 93-99.
ZHANG Yong, Lin Fu-yong. Crashworthiness Reliability Design Optimization of Aluminum Foam Filled Thin-wall Structures [J]. Journal of Mechanical Engineering, 2011，47(22): 93-99.
[4] 曹鸿钧，段宝岩．基于凸集合模型的非概率可靠性研究 [J]．计算力学学报，2005(05): 546-549+578.
CAO Hong-jun, DUAN Bao-yan.An approach on the non-probabi listic rel iability of structures based on uncertainty convex models[J].Chinese Journal of Computational Mechanics, 2005(05): 546-549+578.
[5] Kang Z，Luo Y．Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models [J]．Computer Methods in Applied Mechanics and Engineering，2009，198(41–44): 3228-3238.
[6] Jiang C，Han X，Lu G Y，et al．Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique [J]．Computer Methods in Applied Mechanics and Engineering，2011，200(33–36): 2528-2546.
[7] 罗阳军，高宗战，岳珠峰，等．随机-有界混合不确定性下结构可靠性优化设计 [J]．航空学报，2011(6): 1058-1066.
LUO Yang-jun, GAO Zong-zhan, YUE Zhu-feng，et al．Reliability-based optimization design for structures with stochastic and Bounded parameter uncertainties [J]．Acta Aeronautica et Astronautica Sinica2011(6): 1058-1066.
[8] 姜潮，刘丽新，龙湘云．一种概率-区间混合结构可靠性的高效计算方法 [J]．计算力学学报，2013(5): 605-609.
JIANG Chao, LIU Li-xin, LONG Xiang-yun. An efficient reliability analysis method for structures with probability-interval mixed uncertainty[J].Chinese Journal of Computational Mechanics, 2013(5): 605-609.
[9] Qiu Z，Yang D，Elishakoff I．Probabilistic interval reliability of structural systems [J]．International Journal of Solids and Structures，2008，45(10): 2850-2860.
[10] 郭书祥，吕震宙．结构可靠性分析的概率和非概率混合模型 [J]．机械强度，2002(4): 524-526+530.
GUO Shu-xiang, LȔ Zhen-zhou.Hybird Probabilistic and non-probabilistic model of structural reliability [J]．Journal of Mechanical Strength, 2002(4): 524-526+530.
[11] 程远胜，钟玉湘，游建军．概率及非概率不确定性条件下结构鲁棒设计方法 [J]．工程力学，2005(4): 10-14+42.
CHENG Yuan-sheng, ZHONG Yu-xiang, YOU Jian-jun.Strucutral Robust Design Subject to Probabilistic and Non-probabilistic uncertainties[J]. Engineering Mechanics, 2005(4): 10-14+42.
[12] Du X，Sudjianto A，Huang B．Reliability-based design with the mixture of random and interval variables [J]．Journal of Mechanical Design，2005，127: 1068.
[13] Kang Z，Luo Y．Reliability-based structural optimization with probability and convex set hybrid models [J]．Structural and Multidisciplinary Optimization，2010，42(1): 89-102.
[14] Du X，Chen W．Sequential optimization and reliability assessment method for efficient probabilistic design [J]．Journal of Mechanical Design，2004，126: 225.
[15] Boggs P T，Tolle J W．Sequential quadratic programming [J]．Acta Numerica，1995，4(1): 1-51.
[16] 罗阳军．基于多椭球凸模型的结构非概率可靠性优化设计[D]. 大连：大连理工大学, 2009.
LUO Yang-jun. On Structural Optimization for Non-probabilistic Reliability Based on Multi-ellipsoid Convex Model [D].Dalian: Dalian University of Technology, 2009.
[17] 张勇，李光耀，钟志华．基于移动最小二乘响应面方法的整车轻量化设计优化 [J]．机械工程学报，2008(11): 192-196.
ZHANG Yong, LI Guang-yao, ZHONG Zhi-hua. Design optimization on lightweight of full vehicle based on moving least square response surface method[J]．Journal of Mechanical Engineering, 2008(11): 192-196.
[18] 李文学，姜潮．车辆正碰安全性的混合可靠度分析 [J]．计算机仿真，2012(2): 358-361.
LI Wen-Xue, JIANG Chao. Hybrid Reliability Analysis for Crashworthiness Analysis of Vehicle. Computer Simulation, 2012(2): 358-361.
[19] Li F，Luo Z，Rong J，et al．A Non-probabilistic Reliability-based Optimization of Structures Using Convex Models [J]．CMES: Computer Modeling in Engineering & Sciences，2013，95(6): 453-482.
[20] Simpson T W，Poplinski J，Koch P N，et al．Metamodels for computer-based engineering design: survey and recommendations [J]．Engineering with Computers，2001，17(2): 129-150.