区间痕迹下事故再现结果不确定性分析的改进仿射法

发布时间：2018-01-17 00:35

本文关键词：区间痕迹下事故再现结果不确定性分析的改进仿射法　出处：《振动与冲击》2017年16期 　论文类型：期刊论文

【摘要】：区间痕迹下事故再现结果亦为区间,当采用仿射算法分析再现结果不确定性时,因再现模型的非线性而会导致分析结果偏离真值。为提高不确定性分析的精度,借助泰勒展开式对仿射法进行改进。改进仿射法先对事故再现模型进行标准化处理,再对模型进行泰勒展开,得到理想的泰勒展开式;接着对泰勒展开式内的变量进行仿射转换,并用矩阵形式表达;用区间多项式上下界公式计算出事故再现结果的取值区间。进一步,给出了分析仿真再现结果不确定性的改进仿射法步骤,并用3个数值算例和一个真实案例验证所提出的方法,结果表明,改进方法能提高计算结果精度,且实用范围广,表明其能用于实践中。
[Abstract]:The result of accident reproduction under interval trace is also interval. When the uncertainty of reconstruction result is analyzed by affine algorithm, the analysis result will deviate from the true value because of the nonlinearity of the reconstruction model, so as to improve the accuracy of uncertainty analysis. The improved affine method is improved by Taylor expansion. The improved affine method first standardized the accident reappearance model and then expanded the model to get the ideal Taylor expansion. Then the variables in the Taylor expansion are affine transformed and expressed in matrix form. The interval of the result of accident reappearance is calculated by the formula of upper and lower bound of interval polynomial. Furthermore, the steps of improved affine method are given to analyze the uncertainty of simulation result. The proposed method is verified by three numerical examples and one real case. The results show that the improved method can improve the accuracy of the calculation results and has a wide range of applications, which shows that the method can be used in practice.
【作者单位】：长沙理工大学汽车与机械工程学院;工程车辆安全性设计与可靠性技术湖南省重点实验室;中山大学工学院广东省智能交通系统重点实验室;
【基金】：国家自然科学基金(51405035) 湖南省自然科学基金(2016JJ2003) 广东省科技计划项目(2015B010110005) 道路交通安全公安部重点实验室开放基金(2016ZDSYSKFKT08)
【分类号】：U491.31
【正文快照】： 事故中的痕迹是事故再现的基础,但由于事故现场痕迹的复杂性、人们认知的局限性及事故后人们反应的滞后性等,使得测量人员往往不能准确地测得相关痕迹,而只能给出一个范围,由此导致区间痕迹的产生。区间痕迹下事故再现结果理应为区间,如何计算此区间则成为事故再现结果不确定

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