非偏压与偏压条件下浅埋隧道围岩压力的极限分析  

On Limit Analysis of Surrounding Rock Pressure on Shallow Tunnel under Non-bias and Bias Conditions

作　　者：张佳华[1] 杨小礼[1] 梁桥[1] 张标[1] 孟飞[1] 

机构地区：[1]中南大学土木工程学院,湖南长沙410075

出　　处：《公路交通科技》2014年第5期115-123,共9页Journal of Highway and Transportation Research and Development

基　　金：国家自然科学基金项目(51378510;51178468);湖南省研究生科研创新项目(CX2013B077)

摘　　要：考虑非偏压和偏压2种情况,根据泰沙基法采用的破坏模式、《公路隧道设计规范》采用的破坏模式以及实际的工程经验,针对浅埋隧道构建了一种更接近于实际情况、更加合理的、新的破坏模式;采用极限分析上限法推导出这种新破坏模式下浅埋隧道围岩压力的理论公式,并把理论公式转化成一个求围岩压力最大值问题的计算模型;结合算例,利用Matlab软件,采用序列二次规划算法对计算模型进行优化求解,并把优化解与已有的研究成果及基于极限平衡法计算得到的结果进行对比分析。研究结果表明:针对浅埋隧道,基于这种新的破坏模式采用极限分析上限法所得到的结果与已有的研究成果及基于极限平衡法计算得到的结果基本一致。不仅说明了运用极限分析上限法来研究浅埋隧道围岩压力的可行性,也验证了浅埋非偏压隧道和浅埋偏压隧道新破坏模式的合理性。Considering 2 conditions for shallow tunnel--non-bias and bias, according to the collapse modes used in Terzaghi method and Code for Design of Road Tunnel together with practical engineering experience, a new collapse mode which is closer to actual situation and more rational is put forward. The upper bound method of limit analysis is used to derive the theoretical formulas of surrounding rock pressure on shallow tunnel under the new collapse mode, and the theoretical formulas are transformed to a computation model to search for the maximum value of surrounding rock pressure. Combining with the calculation examples and utilizing Matlab, the optimizing solution of the computation model is obtained through sequential quadratic programming, and the solution is compared with both previous results and the result calculated by limit equilibrium method. It can be seen that the upper bound solution computed by limit analysis upper bound method under the new collapse mode is very close to both previous results and the result calculated by limit equilibrium method for shallow tunnel. It is practicable to solve surrounding rock pressure on shallow tunnel by using upper bound method of limit analysis. What is more, the new collapse mode for non-bias and bias conditions respectively is reasonable.

关 键 词：隧道工程 破坏模式 极限分析法 非偏压与偏压 围岩压力 

分 类 号：U451.2[建筑科学—桥梁与隧道工程]