• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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Volume 20 Issue 4
Aug.  2007
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Article Contents
ZHANG Jian, LI Jiang, NI Xingda. Improvement to Ill-Conditioned Two-Dimensional Vehicle Collision Models[J]. Journal of Southwest Jiaotong University, 2007, 20(4): 419-424.
Citation: ZHANG Jian, LI Jiang, NI Xingda. Improvement to Ill-Conditioned Two-Dimensional Vehicle Collision Models[J]. Journal of Southwest Jiaotong University, 2007, 20(4): 419-424.

Improvement to Ill-Conditioned Two-Dimensional Vehicle Collision Models

  • Received Date: 12 Mar 2007
  • Publish Date: 25 Aug 2007
  • Matrix perturbation theory was applied to analyzing the ill-conditioned two-dimensional vehicle collision model.The analysis shows that the ill-condition is caused by the linear correlation between some equations in the model.The linear correlation was solved by a mathematical transform to get new equations free of ill-condition,and reconstructed models composed of the new equations were obtained.The reconstructed models and the original one formed a new model.The calculated result of a real collision case shows that the new model reduces the relative error from 71.91% to 16.4% compared with that by the original model when the mass ratio of the two vehicles involved falls into a specific range and there is 5% error in the measured coordinates of the colliding point on the two vehicles.

     

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  • 李江.交通事故力学[M].北京:机械工业出版社,2000:119-128.[2] 裴剑平,李一兵,吴卫东.事故再现典型碰撞模型的参数敏感度分析[J].公路交通科技,2002,19(4):130-131.[3] CHAN S H,PHOON K K,LEE F H.A modified Jacobi preconditioner for solving ill-conditioned Biot's consolidation equations using symmetric quasi-minimal residual method[J].International Journal for Numerical and Analytical Methods in Geomechanics,2001,25(10):1001-1025.[4] 李亚兰,秦世伦.对有限元计算中某些病态问题的研究[J].四川大学学报(工程科学版),2002,34(3):38-40.LI Yalan,QIN Shilun.Research of some ill problems by the computing method of FEM[J].Journal of Sichuan University:Engineering Science Edition,2002,34(3):38-40.[5] 张建,李江,倪行达,等.汽车碰撞事故再现模型病态问题处理方法研究[J].汽车工程,2007,29(1):59-62.ZHANG Jian,LI Jiang,NI Xingda,et al.A study on the solution to ill-conditioned problem in vehicle crash accident reconstruction model[J].Automotive Eng.,2007,29(1):59-62.[6] 姜家辉.矩阵理论基础[M].大连:大连理工大学出版社,1997:32-33.[7] 魏朗,陈荫三,石川,等.车辆碰撞过程的试验分析研究[J].汽车工程,2000,22(4):256-261.WEI Lang,CHENG Yinsan,SHI Chuan.et al.An experiment research on the car-to-car collision[J].Automotive Eng.,2000,22(4):256-261.[8] 王志中,邵苇敏.方程病态程度的估计——病态准则[J].上海交通大学学报,1988,22(5):68-73.WANG Zhizhong,SHAO Weimin.Estimators of ill-conditioned degree of equations-ill-condition criteria[J].Journal of Shanghai Jiaotong University,1988,22(5):68-73.
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