基于概率-区间混合模型的汽车乘员约束系统可靠性优化设计

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (20) : 240-246.

论文

刘鑫1,2，陈德2，周振华2，胡林2

作者信息 +

Reliability-based design optimization for an occupant restraint system based on a probability and interval hybrid model

LIU Xin1,2, CHEN De2, ZHOU Zhenhua2, HU Lin2

Author information +

文章历史 +

摘要

考虑到多种不确定性因素对汽车乘员约束系统带来的影响，提出了一种基于概率-区间混合模型的汽车乘员约束系统可靠性优化设计方法。针对某型汽车的乘员约束系统建立其数值模型，并通过实车碰撞实验以检验数值模型的有效性；通过概率模型和区间模型来描述不确定性变量，并建立了基于概率-区间混合模型的乘员约束系统可靠性优化设计问题；利用karush-kuhn-tucker(KKT)最优化条件和基于最大熵原理的二次四阶矩方法对可靠性优化问题进行解耦，将原始的三层嵌套优化问题转化为单层优化问题，实现高效求解；为了进一步提升计算效率，基于径向基函数建立了乘员约束系统的近似模型，构建了近似可靠性优化设计问题，并使用遗传算法进行求解。结果表明：该方法既能高效准确地为汽车乘员约束系统匹配最佳的设计参数，又提高了汽车的被动安全性，在汽车碰撞安全领域具有广泛的工程领域应用前景。

Abstract

Considering the influence of multi-uncertainties on an occupant restraint system, a reliability-based design optimization (RBDO) method based on probability and interval models was proposed.Firstly, the numerical model of the occupant restraint system was established and the validity was tested by the real vehicle crash experiment.Secondly, the uncertainties were described by the probability model and the interval model.The reliability-based design optimization problem based on probability and interval hybrid model was also constructed.Thirdly, the Karush-Kuhn-Tucker (KKT) optimization condition and the second order fourth moment method based on the maximum entropy principle were used to transform the original three-level nested optimization problem into single-level optimization problem.Finally, in order to further improve the efficiency, the approximate models for the vehicle occupant restraint system were established based on radial basis function and the approximate reliability-based design optimization problem was constructed and was solved by a genetic algorithm.The results show that the proposed method not only obtains the best design parameters for the occupant restraint system, but also upgrades the passive safety of the vehicle.Therefore, the proposed method may be used in the field of other vehicle safety.

导出引用

刘鑫，陈德，周振华，胡林. 基于概率-区间混合模型的汽车乘员约束系统可靠性优化设计[J]. 振动与冲击, 2021, 40(20): 240-246

LIU Xin, CHEN De, ZHOU Zhenhua, HU Lin. Reliability-based design optimization for an occupant restraint system based on a probability and interval hybrid model[J]. Journal of Vibration and Shock, 2021, 40(20): 240-246

参考文献

［1］王蕊, 张晓云, 冯浩，等.大客车侧翻碰撞护栏事故仿真分析及改进［J］.振动与冲击，2014, 33(6): 40-43.
WANG Rui, ZHANG Xiaoyun, FENG Hao, et al.Simulation and improvement of bus rollover against barrier［J］.Journal of Vibration and Shock, 2014, 33(6): 40-43.

［2］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.
［3］刘鑫，吴钢，尹来容.基于近似模型管理的汽车安全带约束系统优化设计［J］.振动与冲击，2016,35(6):132-136.
LIU Xin,WU Gang,YIN Lairong.Optimal design of a seat belt restraint system based on approximate model management［J］.Journal of Vibration and Shock,2016,35(6):132-136.
［4］曹立波，欧阳志高，徐哲，等.可逆约束系统参数匹配优化研究［J］.机械工程学报，2016, 52(10): 133-141.
CAO Libo, OUYANG Zhigao, XU Zhe, et al.Research on the optimization of reversible restraint systems［J］.Journal of Mechanical Engineering, 2016, 52(10): 133-141.

［5］KIM N H, WANG H, QUEIPO N V.Adaptive reduction of random variables using global sensitivity in reliability-based optimization［J］.International Journal of Reliability and Safety, 2006, 1(1/2): 102-119.
［6］ZAEIMI M, GHODDOSIAN A.System RBDO of truss structures considering interval distribution parameters［J］.Structural Engineering and Mechanics,2019,70(1):81-96.
［7］葛如海，张苏秀，洪亮.基于NSGA-Ⅱ遗传算法的前排乘员约束系统优化［J］.汽车工程，2017,39(12):1382-1389.
GE Ruhai, ZHANG Suxiu, HONG Liang.Optimization of front-row occupant restraint system with NSGA-Ⅱ genetic algorithm［J］.Automotive Engineering, 2017, 39(12): 1382-1389.
［8］王国春，李奇奇，戴江璐，等.基于联合优化方法的汽车碰撞被动安全性研究［J］.汽车工程,2017,39(2):168-173.
WANG Guochun,LI Qiqi,DAI Jianglu,et al.A research on the passive safety of vehicle crash based on combined optimization［J］.Automotive Engineering,2017,39(2):168-173.
［9］JIANG C, LU G Y, HAN X, et al.A new reliability analysis method for uncertain structures with random and interval materials in design［J］.International Journal of Mechanics and Materials in Design, 2012, 8(2): 169-182.
［10］NOCEDAL J, WRIGHT S J.Numerical optimization［M］.New York, NY: Springer, 1999.
［11］张明.结构可靠度分析—方法与程序［M］.北京: 科学出版社，2009.
［12］LIU X, WANG X Y,SUN L,et al.An efficient multi-objective optimization method for uncertain structures based on ellipsoidal convex model［J］.Structural and Multidisciplinary Optimization, 2019,59(6):2189-2203.
［13］SAHO L, BHUNIA A K, KAPUR P K.Genetic algorithm based multi-objective reliability optimization in interval environment［J］.Computers & Industrial Engineering, 2011, 62(1): 152-160.
［14］QUEIPO N V, HAFTKA R T, SHYY W, et al.Surrogate-based analysis and optimization［J］.Progress in Aerospace Sciences,2005,41(1):1-28.