水工隧洞光滑接触叠合式衬砌结构承载机理研究  

Analysis of bearing mechanism of smooth superimposed lining structure of hydraulic tunnels under high inner pressure

作　　者：刘宜杰 黄本胜[1] 袁明道[1] 徐云乾[1,3] 王威 LIU Yijie;HUANG Bensheng;YUAN Mingdao;XU Yunqian;WANG Wei(Guangdong Research Institute of Water Resources and Hydropower,Guangzhou 510610,China;School of Civil Engineering,Sun Yat-sen University,Guangzhou 510610,China;College of Water Conservancy and Hydropower Engineering,Hohai University,Nanjing 210098,China)

机构地区：[1]广东省水利水电科学研究院,广东广州510610 [2]中山大学土木工程学院,广东广州510610 [3]河海大学水利水电学院,江苏南京210098

出　　处：《人民长江》2024年第12期203-212,共10页Yangtze River

基　　金：广东省水利科技创新项目(2022-03);中国博士后科学基金项目(2020M672557)。

摘　　要：为满足更高质量的建设要求,圆形水工隧洞衬砌结构形式在向多层衬砌叠合受力的方向转变。但目前仍缺少能精确量化隧洞围岩和多层衬砌共同承载时荷载分配的计算模型。为此,采用平面弹性复变函数理论的幂级数解法,基于围岩-衬砌之间的相互作用关系,建立了相应的力学模型,输出围岩和衬砌内任意位置处的应力分量;通过边界条件验证以及与数值解对比证明了该模型的正确性,并以珠三角水资源配置工程为例进行了研究分析。结果表明:①围岩和三层衬砌的径向正应力和环向正应力结果均符合类余弦分布,周期为π;②三层衬砌中内衬钢管的弹模相对最大,所以承载权重最大;③接触径向正应力由外至内趋于减小;④当接触条件不同时,叠合式衬砌承载规律亦不同,光滑接触下的径向正应力和切向正应力分布更平缓,并且同一衬砌内外两边界处的应力分布规律相反;⑤随着输水隧洞内水压增加,衬砌和围岩径向上趋于压缩,环向上则呈现扩胀趋势,这些影响均由内至外越发减弱。研究成果揭示了基于光滑接触关系的叠合式输水隧洞衬砌结构的荷载传递机理和规律,可以为该类型衬砌防护工程的设计和施工提供理论依据。To meet the requirements of higher quality construction,the lining structure of circular hydraulic tunnels is shifting towards multi-layer lining superposition.However,there is currently a lack of accurate calculation models that can quantify the load distribution when the surrounding rock and multi-layer lining support are jointly considered.This article adopts the power series solution of plane elastic complex function theory and establishes a corresponding mechanical model based on the interaction relationship between surrounding rock and linings,which gives stress components at any position inside the surrounding rock and linings.The correctness of this model has been verified through boundary condition verification and comparison with numerical solutions.Subsequently,using the Pearl River Delta Water Resource Allocation Project as an example,this study conducted research and analysis to obtain the following main results:①Both radial and circumferential normal stresses in both surrounding rock and three-layer linings followed a cosine-like distribution with a period ofπ;②Among all layers in three-layer lining,lined steel pipe possessed relatively maximum elastic modulus,so it shared the highest bearing proportion;③Contact radial normal stress tended to decrease from outside to inside;④Different contact conditions resulted in different load-bearing patterns for laminated linings,for smooth contact,radial and tangential normal stress distributions were smoother,and stress distribution patterns at inner and outer boundaries within a same lining were opposite;⑤As hydraulic pressure inside multiplied,both the lining and surrounding rock exhibited radial compression,accompanied by circumferential expansion.These effects gradually diminished from the innermost layer towards the outer layers.The research findings elucidate the load transfer mechanism and principles governing the three-layer laminated lining structure of hydraulic tunnels under smooth contact,thereby offering a theoretical foundation for th

关 键 词：承载机理 三层衬砌 光滑接触 荷载传递机理 圆形输水隧洞 珠三角水资源配置工程 

分 类 号：U452[建筑科学—桥梁与隧道工程]