付小蝶,张爱军,王彬铧,刘宏泰.板桩支挡结构的应力与位移弹性理论解[J].中国水利水电科学研究院学报,2022,20(6):540-548
板桩支挡结构的应力与位移弹性理论解
Elastic theoretical solution of stress and displacement of sheet pile retaining structure
投稿时间:2021-12-30  
DOI:10.13244/j.cnki.jiwhr.20210325
中文关键词:  板桩支挡结构  解析计算  弹性理论  位移模式  土压力  数值计算
英文关键词:sheet pile support structure  analytical calculation  elastic theory  displacement mode  soil pressure  numerical calculation
基金项目:国家自然科学基金项目(51978572);CMEC2017年科技研发基金课题(CMEC-KJYF-2017-06)
作者单位E-mail
付小蝶 西北农林科技大学 水利与建筑工程学院, 陕西 杨凌 712100  
张爱军 西北农林科技大学 水利与建筑工程学院, 陕西 杨凌 712100 zaj@nwsuaf.edu.cn 
王彬铧 西北农林科技大学 水利与建筑工程学院, 陕西 杨凌 712100  
刘宏泰 机械工业勘察设计研究院有限公司, 陕西 西安 710043  
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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 calculation of the stress and displacement of the retaining wall is the key to the foundation pit support design, which is of great significance to ensure the safety of the foundation pit.Therefore, in this paper, based on the elastic theory, the calculation model of the stress and displacement of the retaining wall was established.According to the boundary conditions and the compatibility equation, the analytical solutions of the stress and displacement components of the retaining wall under the condition of ultimate earth pressure was solved by the semi-inverse solution method.Furthermore, a modified formula of the stress and displacement of the retaining wall under the finite displacement condition was proposed and solved through considering the nonlinear relationship between the earth pressure and the retaining wall lateral displacement, assuming the RB displacement mode and introducing the earth pressure-displacement effect formula under the condition of finite displacement, based on which, the analytical solutions of the stress and displacement components of the retaining wall under the condition of finite displacement were obtained.At the same time, the two-dimensional numerical calculation model of the foundation pit and retaining wall was established by ADINA, and the analytical solutions are in good agreement with the numerical calculation results.The research results show that the proposed analytical calculation formula under the condition of finite displacement is not only more accurate and reliable than the simple calculation assuming the retaining wall as a cantilever beam, but also simpler and more convenient than the numerical calculation, considering the nonlinear variation of soil pressure with the displacement of the retaining wall.It can be used for the routine design of retaining walls and has important practical value.
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