考虑非连续界面周向正应力时公路单心圆压强隧道衬砌的非完全接触和试验验证  

Non Full Contact of Highway Pressure Tunnel Lining with Single Centre Circle Considering non Continuous Interfacial Circumferential Normal Stress and Experimental Validation

作　　者：田红亮[1,2,3] 陈谦 杜轩 张明松[2] TIAN Hongliang;CHEN Qian;DU Xuan;ZHANG Mingsong(Yichang Key Laboratory of Robot and Intelligent System,China Three Gorges University,Yichang 443002;Hubei Key Laboratory of Hydroelectric Machinery Design&Maintenance,China Three Gorges University,Yichang 443002;College of Mechanical and Power Engineering,China Three Gorges University,Yichang 443002)

机构地区：[1]三峡大学机器人与智能系统宜昌市重点实验室,宜昌443002 [2]三峡大学水电机械设备设计与维护湖北省重点实验室,宜昌443002 [3]三峡大学机械与动力学院,宜昌443002

出　　处：《机械工程学报》2020年第11期181-191,共11页Journal of Mechanical Engineering

基　　金：国家自然科学基金(51275273);2019年度机器人与智能系统宜昌市重点实验室三峡大学开放基金(JXYC00006,JXYC00004);2019年度水电机械设备设计与维护湖北省重点实验室三峡大学开放基金(2019KJX11,2019KJX06)资助项目。

摘　　要：以公路单心圆压强隧道为研究对象,考虑复连通物体的位移单值条件以及径向正应力和径向位移在接触面上均保持连续,推导出两种衬砌的径向正应力、周向正应力和轴向正应力的解析解。理论分析表明:(1)当体力为常量时,对于平面应力和平面应变两种情况,假如边界形状和外力都相同,则在该平面内的应力分布将是相同的,且不包含各向同性材料的弹性常数(即弹性模量和泊松比);(2)在二次衬砌外半径所在的圆周上,周向正应力和轴向正应力都会突现应力异常,导致第一类间断点中的跳跃间断点;(3)当初支衬砌与二次衬砌的材料弹性参数相同时,不存在跳跃现象;(4)塑性屈服的始端首先出现在二次衬砌内侧,并被周围的弹性区域约束。推导的完整应力公式可为分析公路单心圆压强隧道的接触特性提供参考。The analytical solutions about radial normal stress, circumferential normal stress and axial normal stress for two linings are derived when the highway pressure tunnel with single centre circle is studied by considering single valued condition for displacement in a multiply connected body and the continuity of radial normal stress and radial displacement on contact surface. Theoretical analysis shows that:(1) in the case of constant body forces and both for the case of plane stress and plane strain, the stress distribution is hence the same in this plane and does not contain the elastic constants(i.e. elastic modulus and Poisson ratio) of the isotropic material, provided the shape of the boundary and the external forces are the same;(2) the circumferential normal stress and axial normal stress have sudden stress anomaly on the circumference with the secondary lining’s external radius, which results in the jump discontinuous point belonging to the first kind of discontinuous point;(3) there is not the jump phenomenon when the primary support lining and secondary lining have the same elastic constants of the material;and(4) the onset of plastic yield first occurs in the internal side of secondary lining, and will be restricted by the surrounding elastic region. These general stress formulas can be applied to the analysis of the contact characteristics of highway pressure tunnel with single centre circle.

关 键 词：公路 压强隧道衬砌 非完全接触 初支衬砌 二次衬砌 复连通物体 位移单值条件 

分 类 号：TH113[机械工程—机械设计及理论]