吉林大学学报(工学版) ›› 2023, Vol. 53 ›› Issue (1): 188-196.doi: 10.13229/j.cnki.jdxbgxb20210486

• 交通运输工程·土木工程 • 上一篇    

基于状态空间法的含裂缝水泥路面结构分析

孙雅珍1(),郑直1,黄伟明2,王金昌3()   

  1. 1.沈阳建筑大学 交通工程学院，沈阳 110168
    2.浙江大学 建筑工程学院，杭州 310058
    3.浙江大学 交通 工程研究所，杭州 310058
  • 收稿日期:2021-05-31 出版日期:2023-01-01 发布日期:2023-07-23
  • 通讯作者: 王金昌 E-mail:syz16888@126.com;wjc501@zju.edu.cn
  • 作者简介:孙雅珍（1969-），女，教授，博士生导师. 研究方向：道路工程. E-mail：syz16888@126.com
  • 基金资助:
    国家自然科学基金项目(51308084);浙江省交通运输厅科技项目(ZJXL?JTT?202201A);辽宁省教育厅项目(LJKZZ20220080)

Structural analysis of cement pavement with cracks based on state⁃space method

Ya-zhen SUN1(),Zhi ZHENG1,Wei-ming HUANG2,Jin-chang WANG3()   

  1. 1.School of Transportation Engineering，Shenyang Jianzhu University，Shenyang 110168，China
    2.College of Civil Engineering and Architecture，Zhejiang University，Hangzhou 310058，China
    3.Institute of Transportation Engineering，Zhejiang University，Hangzhou 310058，China
  • Received:2021-05-31 Online:2023-01-01 Published:2023-07-23
  • Contact: Jin-chang WANG E-mail:syz16888@126.com;wjc501@zju.edu.cn

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摘要：

为了通过解析方法求解含裂缝连续配筋混凝土路面（CRCP）的内力与变形，基于状态空间法和Euler?Bernoulli梁理论，引入能揭示刚度弱化的接头模型来模拟裂缝，建立综合考虑土体竖向抗力、裂缝处的抗剪切力和抵抗弯矩的三弹簧单层直梁模型，通过MATLAB编程求得了含裂缝路面结构在竖向荷载作用下变形和内力的解析解，并与已有文献和有限元的结果对比，验证了解析结果。探讨了裂缝间距、荷载大小和面层厚度等参数对路面结构变形响应的影响，其结果也表明了本文解析方法的正确性。

关键词: 道路工程, 状态空间法, Euler?Bernoulli梁, 连续配筋混凝土路面, 横向裂缝

Abstract:

To determine the deformations and internal forces of Continuously Reinforced Concrete Pavement（CRCP）with cracks by the analytical solution based on the state-space method and Euler-Bernoulli beam theory， a three-spring straight beam model was proposed. The vertical soil resistance and the rotation-resisting and shear-resisting capacities of the cracks were taken into account. In addition， the joint model which reveals the stiffness degradation was introduced to simulate the cracks. The analytical solutions for the internal forces and deformations of the pavement structure with cracks under vertical load were obtained by MATLAB programming. The analytical solutions were verified by the existing literature and finite element method. The influences of crack spacing， the magnitude of load and the surface thickness on the deformation response of the pavement structure were discussed. This also validates the analytical approach proposed in this paper.

Key words: road engineering, state-space method, Euler-Bernoulli beam, continuously reinforced concrete pavement, transverse crack

中图分类号: 

  • U416.2

图1

存在横向裂缝的单层路面结构分析模型"

图2

弹性地基上单个连续直梁段模型"

图3

存在横向裂缝的单层路面结构状态向量传递路线"

图4

本文解析解与已有文献的计算结果对比"

图5

数值模型及坐标系"

图6

本文解析解与有限元计算结果对比"

图7

不同裂缝间距下直梁的变形响应"

图8

不同荷载大小作用下直梁的变形响应"

图9

不同面层厚度下直梁的变形响应"

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