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图学学报

• 智能设计与数字化设计 • 上一篇    下一篇

基于分形理论的三维路面谱重构及 在多体动力学软件中的应用

  

  1. 1. 省部共建交通工程结构力学行为与系统安全国家重点实验室(筹)，河北 石家庄 050043； 
    2. 石家庄铁道大学机械工程学院，河北 石家庄 050043
  • 出版日期:2019-04-30 发布日期:2019-05-10
  • 基金资助:
    国家自然科学基金项目(11572207，11872255)；河北省自然基金项目(A2016210103)

Reconstruction of Three-Dimensional Pavement Spectrum Based on Fractal Theory and Its Application in Multi-Body Dynamics Software

  1. 1. State Key Laboratory of Mechanical Behavior in Traffic Engineering Structure and System Safety, Shijiazhuang Hebei 050043, China; 
    2. School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang Hebei 050043, China
  • Online:2019-04-30 Published:2019-05-10

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摘要： 合理的道路纹理特征可以更好地反映路面抗滑性能和轮胎/路面接触特性。基于分 形理论提出了一种三维路面谱重构方法。依据国标给出二维随机路面谱的时域表达，利用计盒 维数法计算各级路面分形维数，综合应用随机中点位移法和分形布朗运动原理将传统二维路谱 拓展为三维路面谱。以典型的减速带为例，将特殊激励同构到含有细节形貌的平整路面谱中。 在 TruckSim 软件中通过编译实现三维路面谱在车辆多体动力学软件中的应用。通过对比二维路 谱和三维路谱下车辆动力学响应发现：垂向力和纵向力差异不大，有较好地一致性，但侧向力 相差比较大，表明所建立的三维路面谱有较好精度的同时反映了路面的三维纹理特性，为车辆 曲线通过性能和车辆侧翻控制研究提供了基础。

关键词: 路表形貌, 分形理论, 随机中点位移法, 布朗运动, 三维路谱

Abstract: Reasonable road texture features can better reflect the anti-slip performance of road surface and Tire/Road contact characteristics. Based on fractal theory, a three-dimensional road surface reconstruction method is proposed in this paper. According to the national standard, the time domain expression of two-dimensional random pavement spectrum is given. The box dimension is used to calculate the fractal dimension. The traditional two-dimensional road spectrum is extended to three-dimensional pavement by using the random midpoint displacement and the fractal Brownian motion principle. Taking a typical bump as an example, the special excitation is incorporated into a flat road surface with detailed texture. The application of 3D pavement spectrum in vehicle multi-body dynamics software is realized by compiling in the TruckSim software. By comparing the vehicle dynamics response under the two-dimensional road spectrum and the three-dimensional road spectrum, it is found that the vertical force and the longitudinal force have little difference and have good consistency. But the lateral force difference is relatively large, indicating that the established three-dimensional road surface spectrum has the better accuracy and reflects the three-dimensional texture characteristics of the road surface. It provides a basis for vehicle curve passing performance and vehicle rollover control research.

Key words: road surface texture, fractal theory, random midpoint displacement method, Brownian motion, three-dimensional road spectrum