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Application of Fractional Calculus to Frontal Crash Modeling

机译：分数阶微积分在额叶碰撞建模中的应用

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摘要

Fractional derivative viscoelastic model is used in the analysis of a frontal impact of a vehicle against a rigid obstacle. The frontal part of the vehicle is first modeled as a viscoelastic fractional rod and then it is modeled as two different viscoelastic fractional rods with a different length. In the second model also the friction is taken into account. A motion is analyzed during several phases because of both different lengths of the rods and the presence of a dry friction force in the later model. Governing systems of differential equations together with the corresponding initial conditions are derived. Parameter identification is done on the basis of the existing experimental results using the solution of a posed impact problem. What makes the problem more complex, regarding the second model, is the fact that it belongs to the class of nonsmooth fractional order systems, which require special treatment when dealing with deformation history during different motion phases.
机译：分数导数粘弹性模型用于分析车辆对刚性障碍物的正面碰撞。首先将车辆的前部建模为粘弹性分数棒，然后将其建模为具有不同长度的两个不同的粘弹性分数棒。在第二个模型中，还考虑了摩擦。由于杆的长度不同以及在以后的模型中都存在干摩擦力，因此在几个阶段中分析运动。推导了微分方程的控制系统以及相应的初始条件。参数识别是基于现有的实验结果，通过提出的冲击问题来解决的。关于第二个模型，使问题变得更复杂的是，它属于非光滑分数阶系统这一类，当处理不同运动阶段的变形历史时，需要特殊对待。

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  • 来源
    《Mathematical Problems in Engineering》 |2017年第7期|7419602.1-7419602.10|共10页
  • 作者

    Zigic Miodrag; Grahovac Nenad;

  • 作者单位

    Univ Novi Sad, Fac Tech Sci, Trg D Obradovica 6, Novi Sad, Serbia;

    Univ Novi Sad, Fac Tech Sci, Trg D Obradovica 6, Novi Sad, Serbia;

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