基坑支护工程挡墙应力与位移的弹性理论解析解
Elastic theoretical analytical solution of stress and displacement of retaining wall in foundation pit
投稿时间:2021-12-30  修订日期:2022-07-23
DOI:
中文关键词:  岩土工程  解析计算  弹性理论  位移模式  土压力  数值计算
英文关键词:geotechnical engineering  analytical calculation  elastic theory  displacement mode  soil pressure  numerical calculation
基金项目:
作者单位邮编
付小蝶 西北农林科技大学水利与建筑工程学院 712100
张爱军 西北农林科技大学水利与建筑工程学院 
王彬铧 西北农林科技大学水利与建筑工程学院 
刘宏泰 机械工业勘察设计研究院有限公司 
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中文摘要:
      基坑支护挡墙的应力及位移计算是进行基坑支护设计的关键,对保证基坑安全具有重要意义。因此,基于弹性理论,建立了挡墙应力及位移的计算模型,结合边界条件与相容方程,采用半逆解法得出了极限土压力条件下挡墙应力及位移分量解析解,并考虑土压力随挡墙侧向位移非线性变化,假定挡墙处于RB位移模式,引入有限位移条件下土压力-位移效应公式,修正挡墙应力及位移解析计算式,得出了有限位移条件下挡墙应力及位移分量解析解。同时,利用ADINA软件建立了基坑及挡墙的二维数值计算模型,将解析解与数值计算结果进行对比,两者符合较好,证明了本解析方法的正确性。研究结果表明:文中提出的有限位移条件下的解析计算公式,较将挡墙简单当做悬臂梁计算更为精确可靠,较数值计算更为简单便捷,并考虑了土压力随挡墙位移的非线性变化,可作为支护挡墙常规设计的工具,具有重要的实用价值。
英文摘要:
      The stress and displacement calculation of retaining wall in foundation pit support is the key to design foundation pit support. It is of great significance to ensure the safety of foundation pit. Therefore, on the basis of elasticity theory, the stress and displacement model of retaining wall was established. Combined boundary conditions and compatibility equations, and then the analytical solution of stress and displacement components of retaining wall under ultimate earth pressure was obtained by semi-inverse method. In order to consider the nonlinear variation of earth pressure with lateral displacement of retaining wall, assumed the retaining wall is in RB displacement mode. Used the formula of soil pressure-displacement effect under finite displacement condition, and modified the analytical formula for stress and displacement of retaining wall. And then analytical solutions of stress and displacement components of retaining wall under finite displacement condition were obtained. At the same time, the ADINA software was used to establish a two-dimensional numerical calculation model of the foundation pit and retaining wall. The results of analytical solution and numerical calculation were in good agreement. This result proves the correctness of the analytical method. The results show that: the analytical calculation formula for finite displacement is more accurate and reliable than that for retaining wall as cantilever beam, and is simpler and more convenient than the numerical calculation. Moreover, this formula takes into account the nonlinear variation of earth pressure with the displacement of retaining wall. And it can be used as a tool for the conventional design of retaining wall, and it has important practical value.
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