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圆形隧洞不同接触条件下衬砌最大主应力灵敏度分析

Maximum principal stress sensitivity analysis on lining under different contact conditions in circular tunnels
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摘要 【目标】为保证隧道衬砌有效发挥作用,优化对衬砌参数设计,分析不同接触条件下各参数对衬彻应力的灵敏度。【方法】基于复变函数方法,针对围岩-衬砌界面光滑接触与完全接触2种不同接触条件,建立了两向不等压原岩应力场与开挖扰动应力场共同作用下衬砌最大主应力的灵敏度分析模型;绘制了各参数对应的系统特性曲线,并设计了双向扰动敏感系数和归一化灵敏度计算方法,以纵、横向对比不同界面接触条件下的参数灵敏度。【结果】当环境应力、弹性模量、泊松比及衬砌尺寸4类9个参数取值相同时,系统特性曲线显示,完全接触条件下衬砌的最大主应力比光滑接触条件下更大。双向扰动敏感系数分析表明,2类接触条件下衬砌最大主应力对各参数的敏感程度在趋势上大致相同,均可分为3级:第Ⅰ级为高灵敏,包括垂直地应力、侧压力系数;第Ⅱ级为中灵敏,包括弹性模量;其余因素为第Ⅲ级;归一化灵敏度分析表明,不同接触条件下衬砌的最大主应力主要与垂直地应力、侧压力系数、围岩弹性模量、衬砌弹性模量4个参数有关,归一化灵敏度累计占比均超过80%。【结论】隧洞设计时应重点关注隧址的选择,尽可能减小衬砌的弹性模量,选择高强低弹的衬砌材料。 [Objective]To ensure the effective function of tunnel lining,its design needs to be optimized reasonably.The sensitivities of various parameters to lining stress in different contact conditions were analyzed.[Method]Based on the complex function method,a sensitivity analysis model of maximum principal stress of lining,under combined action of bidirectional unequal situ stress field and excavation disturbance stress field,was established.Two different contact conditions(i.e.,smooth contact and complete contact)were set for interface between surrounding rock and lining.The system characteristic curves corresponding to various parameters were drawn.The calculation methods for bidirectional disturbance sensitivity coefficient and normalized sensitivity were designed to compare the parameter sensitivity under different interface contact conditions vertically and horizontally.[Result]When 9 parameters’value with 4 types(i.e.,environmental stress,elastic modulus,Poisson’s ratio and lining size)are the same,the system characteristic curves indicate that the maximum principal stress of lining under complete contact condition is larger than that under smooth contact condition.The bidirectional disturbance sensitivity coefficient analysis indicates that the sensitivity of maximum principal stress of lining with various parameters under two types of contact conditions is roughly the same in overall trend.The sensitivity is divided into three levels.Level I is high sensitivity,including vertical ground stress and lateral pressure coefficient.Level II is medium sensitivity,including elastic modulus.The remaining factors belong to Level III.The normalized sensitivity analysis shows that the maximum principal stress of lining under different contact conditions is mainly related to 4 parameters,i.e.,vertical ground stress,lateral pressure coefficient,surrounding rock elastic modulus and lining elastic modulus.The cumulative proportions of normalized sensitivities are over 80%.[Conclusion]The special attention should be given to the tunnel site selection for tunnel design.The highstrength low-elasticity lining materials should be selected as far as possible.
作者 唐彬雪 吴庆良 黎强 刘冒佚 郭鸿雁 TANG Binxue;WU Qingliang;LI Qiang;LIU Maoyi;GUO Hongyan(College of Engineering and Technology,Southwest University,Chongqing 400715,China;China Merchants Chongqing Communications Technology Research&Design Institute Co.,Ltd.,Chongqing 400067,China;National Engineering Laboratory for Highway Tunnel Construction Technology,Chongqing 400067,China;Chongqing Chengtou Public Rental Housing Construction Co.,Ltd.,Chongqing 400015,China)
出处 《公路交通科技》 北大核心 2025年第6期179-188,共10页 Journal of Highway and Transportation Research and Development
基金 重庆市自然科学基金项目(CSTB2024NSCQ-MSX1209) 中国博士后科学基金项目(2019M660022XB)。
关键词 隧道工程 灵敏度 复变函数 光滑接触 完全接触 tunnel engineering sensitivity complex function smooth contact complete contact
作者简介 唐彬雪(2000-),女,重庆人,硕士,研究方向为岩土与地下结构。1059511216@qq.com;通讯作者:吴庆良(1985-),男,河南信阳人,博士,副教授,研究方向为岩土力学与智能岩土工程。wuqingliang@swu.edu.cn。
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