Abstract
This paper aims to highlight the most used mathematical models as well as the uncertainties resulting from automotive dynamics study and analysis and reconstruction of car crashes. In order to understand the process, a description of basic concepts must be made regarding: value intervals, vectors and matrix with intervals, algebraic systems with intervals and differential equation with intervals. Another purpose of the paper is to establish mathematical models for automotive dynamics study and for the analysis and reconstruction of car crashes in the presence of uncertainties. We also study some parameters’ influence on sizes that define automotives dynamics and car crashes. Moreover, other goals of this study are to establish sizes associated with automotives dynamics and car crashes in the presence of uncertainties by applying the concepts and intervals analysis algorithms or by applying the concepts and uncertainty theory’s algorithms which is a branch of mathematical statistics complementary to the probability theory.
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