汽车碰撞改进模型的参数敏感性分析  

Parameter Sensitivity Analysis of Improved Vehicle Collision Models

作　　者：张健[1] 张鑫[2] 

机构地区：[1]北华大学交通学院,吉林吉林132013 [2]北京交通大学交通运输学院,北京100044

出　　处：《西南交通大学学报》2010年第3期451-456,共6页Journal of Southwest Jiaotong University

基　　金：国家自然科学基金资助项目(50338030);吉林省教育厅"十一五"科学技术研究项目(2009);吉林市科技发展计划项目(20090404);北华大学科研发展基金项目(2008年)的支持

摘　　要：为了验证汽车碰撞模型病态性处理结果的有效性、克服原始模型在病态范围内不能控制结果误差的缺点,在原始模型的基础上,通过重组模型,建立了汽车碰撞改进模型,提出了基于矩阵理论的模型病态性处理结果检验方法——模型参数敏感性分析方法.实例分析表明,当两车质量比处于原始模型病态范围内、且碰撞前车速方向角和碰撞中心坐标的误差分别为1°和1%时,重组模型解的相对误差不超过2.9%.In order to verify the effectiveness of ill-condition treatment for an original vehicle collision model and to overcome the defect that the original model cannot control the errors of results in ill conditions,an improved vehicle collision model was built through reconstruction of the original model.Then,a parameter sensitivity analysis method was developed based on matrix theory to treat the ill-condition problem of the improved model.The analysis result of a case study shows that the relative error of the solution of the reconstructed model is not more than 2.9%,when the mass ratio of two vehicles falls into a ill-condition range and there is an error of 1° in pre-collision velocity direction and an error of 1% in the collision point coordinates of the two vehicles.

关 键 词：汽车碰撞模型 病态性 参数敏感性分析 误差 

分 类 号：U491.3[交通运输工程—交通运输规划与管理]