| 考虑水平摩阻的Pasternak路基基层及路面变形分析 |
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| 引用本文： | 刘飞禹,吴杰杰,陈江,蔡袁强,徐长节.考虑水平摩阻的Pasternak路基基层及路面变形分析[J].中国公路学报,2019,32(5):38-46,56. |
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| 作者姓名： | 刘飞禹 吴杰杰 陈江 蔡袁强 徐长节 |
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| 作者单位： | 1. 上海大学 土木工程系, 上海 200444;2. 浙江省交通投资集团有限公司, 浙江 杭州 310020;3. 浙江大学 建筑工程学院, 浙江 杭州 310027;4. 华东交通大学 土木建筑学院, 江西 南昌 330013 |
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| 基金项目： | 国家自然科学基金项目（51678352，51878402，51478255） |
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| 摘 要： | 为了分析实际工程中路面结构在各类情况下的变形特性,采用Timoshenko梁模型模拟路面及基层特性,Pasternak地基模型模拟路基特性,考虑路面基层间的水平摩阻、路面和基层梁单元的形心轴向位移、基层材料与路基土的非线性应力-应变关系,根据弹性体的虚功原理列出虚功方程,离散后得到单元切向刚度矩阵,运用有限元方法进行组装并采用迭代法进行求解,得到路面结构在不同参数作用下的变形结果。分析基层厚度,模拟水平制动荷载、水平摩阻系数及其他参数对路面结构变形的影响。计算结果表明:如果不考虑基层作用和水平摩阻,采用线性Winkler地基模型计算所得结果与已有文献的计算结果非常接近,验证了该模型与计算方法的正确性;加厚基层厚度能抑制路面沉降及弯曲变形,路面与基层间的摩阻能减小路面沉降,两者都会增大形心轴向位移,水平摩阻的影响不能忽略;模拟水平制动荷载会引起路面微小的转动并从而引起路面结构的变形;增大地基极限承载力能减小路面沉降,一定程度上能抑制路面的弯曲及轴向变形,但效果不显著;增大基层中的剪切作用能有效减小路面沉降及弯曲变形,基层中最终剪应力的大小对路面形心轴向位移的影响尤为明显。
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| 关 键 词： | 道路工程 路面变形 有限元法 TIMOSHENKO梁 水平摩阻 |
| 收稿时间： | 2018-04-15 |
Analysis of Pavement and Subbase on Pasternak Foundation Considering Horizontal Friction |
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| LIU Fei-yu,WU Jie-jie,CHEN Jiang,CAI Yuan-qiang,XU Chang-jie.Analysis of Pavement and Subbase on Pasternak Foundation Considering Horizontal Friction[J].China Journal of Highway and Transport,2019,32(5):38-46,56. |
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| Authors: | LIU Fei-yu WU Jie-jie CHEN Jiang CAI Yuan-qiang XU Chang-jie |
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| Affiliation: | 1. Department of Civil Engineering, Shanghai University, Shanghai 200444, China;2. Zhejiang Communications Investment Group Co., Ltd., Hangzhou 310020, Zhejiang, China;3. School of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027, Zhejiang, China;4. School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, Jiangxi, China |
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| Abstract: | To analyze pavement deformation under different working conditions, the pavement and subbase were simplified as finite-length Timoshenko beams. Considering the horizontal friction, axial displacements, and nonlinear stress-strain relationships, the virtual work equation tangent stiffness matrix was deduced based on the virtual work principle. The finite element and Newton-Raphson iteration methods were used to solve the equation. If horizontal friction, nonlinear relationships, and the subbase were ignored, the foundation was degenerated into a classical Winkler foundation. A very good agreement was achieved by comparing the results of this study and reference 11. Then pavement deformations caused by different subbase thicknesses, horizontal loads, horizontal friction, and other parameters were analyzed. The results show that deflection and bending deformation of a pavement are reduced by increasing the subbase thickness, while friction and axial displacement increase. Moreover, horizontal friction could not be ignored. Rotations of the cross sections and deflection of pavement are caused by the horizontal load. A decrease in deflection is caused by increasing the ultimate bearing capacity of the foundation. Axial displacement and bending deformation of the pavement are also reduced, but it is not as apparent. The shearing stress in the subbase has a great effect on pavement deformation, and the effect of ultimate shear resistance on axial displacement is especially obvious. |
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| Keywords: | road engineering pavement deformation finite element method Timoshenko beam horizontal friction |
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