基于Winkler地基梁理论的拼宽公路新老路基差异沉降分析

doi:10.3969/j.issn.1000-1565.2026.01.001

摘要/Abstract

摘要： 为分析拼宽公路水泥混凝土路面新老承载结构在交通荷载作用下的差异性沉降特性,本文将路面结构视为Winkler地基梁,建立考虑新老路基刚度差异的连续梁计算模型,并通过引入弹性铰考虑路面结构的非连续性.采用幂级数法推导出新老路基路面在交通荷载作用下的沉降解析解,并与传统Winkler地基梁初参数法计算结果进行对比验证了其正确性.在此基础上,系统分析了新老路基填料压缩模量比、路基填高、结合部宽度及弹性铰抗剪刚度等各因素对路面沉降的影响规律.研究表明:当新老路基土体压缩模量比由0.4增加至1.0时,最大差异沉降约降低20%;路基填高由1 m增加至4 m时,最大沉降值由22.4 mm上升至78.0 mm;结合部宽度由3 m增加至6 m时,沉降峰值约减少15%.此外,弹性铰抗剪刚度显著影响路面结构拼接区域的局部变形行为,当其刚度低于1×10⁴ kN/m时,拼接区域局部变形急剧增大.本研究可为拼宽公路路面结构设计与差异沉降控制提供理论依据及参数优化指导.

关键词: 拼宽公路, 新老路基, Winkler地基, 非连续梁, 差异沉降

Abstract: To analyze the differential settlement between new and existing load-bearing structures of cement concrete pavements in widened highways under traffic load, the pavement structure is modeled as a Winkler foundation beam. A continuous beam model accounting for the stiffness difference between the new and existing subgrades is established, and an elastic hinge is introduced to consider the discontinuity of the pavement structure. The analytical solution for the settlement of the Winkler foundation beam under traffic load is derived using the power series expansion method. The correctness of the proposed- 引用格式:张玲,彭芯钰,章瑞环,等.基于Winkler地基梁理论的拼宽公路新老路基差异沉降分析［J］.河北大学学报(自然科学版),2026,46(1):1-12.引用格式:张玲,彭芯钰,章瑞环,等.基于Winkler地基梁理论的拼宽公路新老路基差异沉降分析［J］.河北大学学报(自然科学版),2026,46(1):1-12.DOI:10.3969/j.issn.1000-1565.2026.01.001基于Winkler地基梁理论的拼宽公路新老路基差异沉降分析张玲¹,彭芯钰¹,章瑞环¹,刘小平²(1.湖南大学土木工程学院,湖南长沙 410082;2.湖南省高速公路集团有限公司,湖南长沙 410026)摘要:为分析拼宽公路水泥混凝土路面新老承载结构在交通荷载作用下的差异性沉降特性,本文将路面结构视为Winkler地基梁,建立考虑新老路基刚度差异的连续梁计算模型,并通过引入弹性铰考虑路面结构的非连续性.采用幂级数法推导出新老路基路面在交通荷载作用下的沉降解析解,并与传统Winkler地基梁初参数法计算结果进行对比验证了其正确性.在此基础上,系统分析了新老路基填料压缩模量比、路基填高、结合部宽度及弹性铰抗剪刚度等各因素对路面沉降的影响规律.研究表明:当新老路基土体压缩模量比由0.4增加至1.0时,最大差异沉降约降低20%;路基填高由1 m增加至4 m时,最大沉降值由22.4 mm上升至78.0 mm;结合部宽度由3 m增加至6 m时,沉降峰值约减少15%.此外,弹性铰抗剪刚度显著影响路面结构拼接区域的局部变形行为,当其刚度低于1×10⁴ kN/m时,拼接区域局部变形急剧增大.本研究可为拼宽公路路面结构设计与差异沉降控制提供理论依据及参数优化指导.关键词:拼宽公路;新老路基;Winkler地基;非连续梁;差异沉降中图分类号:U416 文献标志码:A 文章编号:1000-1565(2026)01-0001-12DOI:10.3969/j.issn.1000-1565.2026.01.001Differential settlement analysis of new and existing subgrades in widened highways based on Winkler foundation beam theoryZHANG Ling¹,PENG Xinyu¹,ZHANG Ruihuan¹,LIU Xiaoping²(1. College of Civil Engineering,Hunan University,Changsha 410082,China; 2. Hunan Provincial Expressway Group Co., Ltd.,Changsha 410026,China)Abstract: To analyze the differential settlement between new and existing load-bearing structures of cement concrete pavements in widened highways under traffic load, the pavement structure is modeled as a Winkler foundation beam. A continuous beam model accounting for the stiffness difference between the new and existing subgrades is established, and an elastic hinge is introduced to consider the discontinuity of the pavement structure. The analytical solution for the settlement of the Winkler foundation beam under traffic load is derived using the power series expansion method. The correctness of the proposed- 收稿日期:2025-10-09;修回日期:2025-11-13 基金项目:国家自然科学基金项目(52378340);湖南省高速集团科技进步与创新项目(2024—2025) 第一作者:张玲(1982—),女,湖南大学教授,博士,博士生导师,主要从事交通岩土方向研究.E-mail:zhanglhd@163.com 通信作者:章瑞环(1995—),男,湖南大学在读博士研究生,主要从事交通岩土方向研究.E-mail:zhangrh1995@163.com 第1期张玲等:基于Winkler地基梁理论的拼宽公路新老路基差异沉降分析河北大学学报(自然科学版) 第46卷solution is verified by comparing it with the traditional Winkler foundation beam theoretical solution. The influence of factors such as soil compression modulus, subgrade fill height, subgrade splicing width, and shear stiffness of the elastic hinge on pavement settlement are analyzed. The results indicate that when the compression modulus ratio of the new to existing subgrade soil increases from 0.4 to 1.0, the maximum differential settlement decreases by approximately 20%. When the subgrade fill height increases from 1 m to 4 m, the maximum settlement increases from 22.4 mm to 78.0 mm. When the subgrade splicing width increases from 3 m to 6 m, the peak settlement decreases by about 15%. Additionally, the shear stiffness of the elastic hinge significantly affects the local deformation behavior within the pavement structure splicing zone. When the stiffness is below 1×10⁴ kN/m, the rotational deformation at the joint increases sharply. This study can provide a theoretical basis and parameter optimization guidance for the structure design and differential settlement control of pavement structures in widened highways.

Key words: highway widening, new and existing subgrades, Winkler foundation, discontinuous beam, differential settlement

中图分类号:

U416

张玲,彭芯钰,章瑞环,刘小平. 基于Winkler地基梁理论的拼宽公路新老路基差异沉降分析[J]. 河北大学学报(自然科学版), 2026, 46(1): 1-12.

ZHANG Ling,PENG Xinyu,ZHANG Ruihuan,LIU Xiaoping. Differential settlement analysis of new and existing subgrades in widened highways based on Winkler foundation beam theory[J]. Journal of Hebei University(Natural Science Edition), 2026, 46(1): 1-12.

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