The study for continuum model considering traffic jerk effect

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• 作者：Huaqing Liu ; Rongjun Cheng ; Keqiang Zhu ; Hongxia Ge
• 关键词：Traffic flow ; Continuum model ; Traffic jerk ; KdV ; Burgers equation
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：83
• 期：1-2
• 页码：57-64
• 全文大小：1,923 KB
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• 作者单位：Huaqing Liu (1) (2) (3)
  Rongjun Cheng (4)
  Keqiang Zhu (1)
  Hongxia Ge (1) (2) (3)
  
  1. Faculty of Maritime and Transportation, Ningbo University, Ningbo, 315211, China
  2. Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies, Nanjing, 210096, China
  3. National Traffic Management Engineering and Technology Research Center, Ningbo University Sub-center, Ningbo, 315211, China
  4. Department of Fundamental course, Ningbo Institute of Technology, Zhejiang University, Ningbo, 315211, China
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

Based on the optimal velocity model, a new continuum model considering traffic jerk effect is presented in this paper. Then, the critical condition for the steady traffic flow is deduced. Near the neutral stability line, nonlinear analysis is taken to derive the KdV-Burgers equation for describing the density wave, and one of the solutions is given. Numerical simulation is carried out to study the influence about the traffic jerk effect. Keywords Traffic flow Continuum model Traffic jerk KdV-Burgers equation