基于双层厚壁圆筒理论的预应力双层衬砌张拉—运行阶段内力解析
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西南交通大学 交通隧道工程教育部重点实验室 四川成都 610031

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U451

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四川省自然科学基金面上项目(2026NSFSC0299)


Internal Force Analysis of Prestressed Double-Layer Linings during the Prestressing–Operation Stages: An Analytical Study Based on Double-Layer Thick-Walled Cylinder Theory
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Key Laboratory of Transportation Tunnel Engineering of the Ministry of Education,Southwest Jiaotong University

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    摘要:

    为揭示高内水压输水盾构隧洞预应力双层衬砌在张拉—运行全过程中的整体环向受力边界演化规律,基于双层厚壁圆筒理论,建立了考虑预应力张拉作用、内水压力及层间协调作用的解析模型,推导了预应力衬砌与管片衬砌的环向应力、径向位移、界面等效反力表达式,并进一步给出了结构受力转折压力和临界内水压的解析判据。结合珠江三角洲水资源配置工程预应力双层衬砌原型试验结果及数值模拟结果,对理论模型进行了验证,并分析了预应力水平和厚度比对结构环向力学响应及临界内水压的影响规律。结果表明:张拉阶段中,预应力首先在内层预应力衬砌中建立环向压应力储备,并通过层间位移协调影响外层管片衬砌的初始受力状态;运行阶段中,随着内水压力增大,预应力衬砌中的压应力储备持续被削弱,结构整体受力状态依次经历压应力储备主导、受力转折过渡和抗裂控制临界三个阶段。理论结果与原型试验及数值模拟结果总体吻合,表明该模型能够较好反映预应力双层衬砌整体环向受力边界的变化趋势。参数分析表明,预应力水平是控制张拉阶段初始压应力储备、运行阶段受力边界位置及临界内水压的主导因素;厚度比主要通过调节内衬承载与储备能力,对结构临界边界起辅助调节作用。研究结果可为高内水压预应力双层衬砌的快速受力分析和关键参数选取提供理论依据。

    Abstract:

    To clarify the global circumferential force boundary and its evolution in prestressed double-layer linings of shield water conveyance tunnels under high internal water pressure during the prestressing–operation process, an analytical model was developed based on double-layer thick-walled cylinder theory. The model considers prestressing action, internal water pressure, and interlayer displacement compatibility. Closed-form expressions were derived for the circumferential stress, radial displacement, and equivalent interfacial reaction of the prestressed lining and segmental lining, and analytical criteria were further proposed for the stress-transition pressure and critical internal water pressure. The model was validated using prototype test data and numerical results from the Pearl River Delta Water Resources Allocation Project. The effects of prestress level and thickness ratio on the circumferential mechanical response and critical internal water pressure were then analyzed. The results show that, during the prestressing stage, prestress first establishes a circumferential compressive stress reserve in the inner prestressed lining and then affects the initial stress state of the outer segmental lining through interlayer displacement compatibility. During the operation stage, as the internal water pressure increases, the compressive stress reserve in the prestressed lining is gradually weakened, and the global structural state successively evolves through three stages: compressive-stress-reserve domination, stress-transition, and crack-control critical state. The analytical results agree well with the prototype test and numerical results, indicating that the proposed model can reasonably capture the evolution trend of the global circumferential force boundary of the prestressed double-layer lining. The parametric analysis indicates that the prestress level is the dominant factor controlling the initial compressive stress reserve during prestressing, the force boundary position during operation, and the critical internal water pressure. In contrast, the thickness ratio mainly plays an auxiliary role in adjusting the critical boundary by regulating the bearing capacity and stress reserve of the inner lining. The proposed method provides a theoretical basis for rapid mechanical analysis and key parameter selection of prestressed double-layer linings under high internal water pressure.

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刘畅,王士民. 基于双层厚壁圆筒理论的预应力双层衬砌张拉—运行阶段内力解析[J]. 科学技术与工程, , ():

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  • 收稿日期:2026-03-31
  • 最后修改日期:2026-07-10
  • 录用日期:2026-08-01
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