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Study on crack propagation path of asphalt pavement under vehicle-road coupled vibration

机译:车辆道路耦合振动下沥青路面裂纹传播路径研究

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摘要

To reflect the characteristics of soil more accurately, an improved two-parameter foundation-plate model is built. A vehicle-road coupled model is modeled as a 2-DOF vehicle moving along a plate with finite length and width on a cubic nonlinear foundation. The variation of depth of elastic layer is modeled using sine wave. The Galerkin truncation method is used to discretize the partial differential equations into ordinary differential control equations. Using product to sum formula and introducing the Dirac delta function, the double integral term resulted from nonlinearity is removed. The effects of parameters from vehicle and foundation-plate on vehicle-road coupled model responses are studied. In addition, in order to analyze the influence of vehicle-road coupled vibration on crack propagation, initial cracks with certain length and width are set on the pavement. Using the J-integral Criterion of crack propagation, the stress intensity factors (SIF) of mode Ⅰ and mode Ⅱ cracks for mixed cracks are obtained through the stress on the discrete integral loop, and then the propagation path of surface crack of road is obtained. The propagation of the vehicle-road coupled model considering pavement crack, the vehicle-road coupled model without considering pavement crack and the traditional foundation-plate model are computed and compared. It can be found that the influence of vehicle-road coupled vibration for pavement crack can not be ignored. In short, the results presented in this paper realize the fast and accurate calculation of foundation-plate model described by ultra-high dimensional nonlinear ordinary differential equations, and then can realistically simulate the crack propagation path, which is helpful to better understand the cracking behavior of asphalt pavement.
机译:为了更准确地反映土块的特点,建立了一种改进的两参数基板模型。车辆道路耦合模型被建模为沿着板式移动的2-DOF车辆,在立方非线性基础上具有有限的长度和宽度。弹性层深度的变化是使用正弦波进行建模的。 Galerkin截断方法用于将部分微分方程离散到普通差分控制方程中。使用产品和介绍DIRAC DELTA功能,除去非线性导致的双积分术语。研究了从车辆和基础板上的参数对车辆道路耦合模型反应的影响。另外,为了分析车辆道路耦合振动对裂缝传播的影响,在路面上设定具有一定长度和宽度的初始裂缝。利用裂纹传播的J-积分标准,通过对离散整体环的应力来获得ModeⅠ和ModeⅡ裂缝的应力强度因子(SIF),然后获得道路表面裂纹的传播路径。考虑路面裂缝的车辆道路耦合模型的传播,车道耦合模型而不考虑路面裂缝和传统的基板模型进行比较。可以发现,车辆道路耦合振动对路面裂缝的影响不容忽视。简而言之,本文提出的结果实现了超高维非线性常微分方程描述的基础板模型的快速准确计算,然后可以实际模拟裂缝传播路径,这有助于更好地理解开裂行为沥青路面。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2022年第1期|481-502|共22页
  • 作者单位

    School of Traffic and Transportation Shijiazhuang Tiedao University Shijiazhuang 050043 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai University Shanghai 200072 China;

    State Key Laboratory of Mechanical behavior and System Safety of Traffic Engineering Structures Shijiazhuang 050043 China;

    State Key Laboratory of Mechanical behavior and System Safety of Traffic Engineering Structures Shijiazhuang 050043 China;

    Shanghai Institute of Applied Mathematics and Mechanics Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai University Shanghai 200072 China;

    State Key Laboratory of Mechanical behavior and System Safety of Traffic Engineering Structures Shijiazhuang 050043 China;

    School of Traffic and Transportation Shijiazhuang Tiedao University Shijiazhuang 050043 China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Nonlinear coupled vibration; Modified two-parameter foundation-plate model; Galerkin method; Surface crack; J-integral Criterion;

    机译:非线性耦合振动;改进的双参数基板模型;Galerkin方法;表面裂缝;J-积分标准;

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