• 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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