基于动量定理的汽车碰撞事故再现模型抗扰性分析

An Analysis on Perturbation Resistance of Vehicle Impact Accident Reconstruction Models Based on the Law of Conservation of Momentum

基于摄动理论,应用3种常用的数学方法对基于动量定理建立的汽车碰撞事故模型的抗扰性进行分析。结果表明:对于特定模型在复杂的扰动条件下,采用不同的数学方法,处理效果截然不同。通过理论分析,建立了解决此类问题的方法,给出了数学表达式。经过对代表车型的实际分析,验证了该方法的有效性。

The perturbation resistance of vehicle impact accident reconstruction models is analyzed by three common mathematical methods based on perturbation theory. It is shown that for specific model under the conditions of complicated perturbation, using different mathematical methods will get complete different results. By theoretical analyses, the methods for solving this kind of problem are put forward with corresponding formulae given. Practical analysis on typical makes of vehicle verifies the effectiveness of the method.