Journal of Jilin University(Engineering and Technology Edition) ›› 2023, Vol. 53 ›› Issue (1): 188-196.doi: 10.13229/j.cnki.jdxbgxb20210486

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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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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

CLC Number: 

  • U416.2

Fig.1

Model scheme of single-layer pavement structure with transverse cracks"

Fig.2

Model diagram of single continuous straight beam on elastic foundation"

Fig.3

Transmitting route of state vector in single-layer pavement structure with transverse cracks"

Fig.4

Comparison between present analytical results and results of existing literature"

Fig.5

Numerical model and coordinate system"

Fig.6

Comparison between present analytical results and numerical results of ABAQUS"

Fig.7

Deformation responses of straight beam with different crack spacing"

Fig.8

Deformation responses of straight beam with different magnitude of load"

Fig.9

Deformation responses of straight beam with different surface thickness"

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