Derivation Method for the Foundation Boundaries of Hydraulic Numerical Simulation Models Based on the Elastic Boussinesq Solution
Derivation Method for the Foundation Boundaries of Hydraulic Numerical Simulation Models Based on the Elastic Boussinesq Solution
复制标题
基于弹性Boussinesq解的水力数值模拟模型基础边界推导方法
DOI：
10.1155/2015/262163
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发表时间：
2015
影响因子：
--
通讯作者：
Wang Shaowei
中科院分区：
文献类型：
--
作者：
Song Jintao;Gu Chongshi;Gu Hao;Wang Shaowei
研究了以竖向荷载为主的水工建筑物数值模拟模型的地基边界。该方法基于垂直集中力下半无限空间体弹性力学基本解的应力公式。在原公式中引入极限法，并根据地基深度延伸方向进行分区分析。将点载荷改为长度为2a的线载荷。在计算点的参数a和深度l处提出反比例函数假设，解决近地面半无限空间弹性应力的奇异性问题。与原公式相比，将点载荷改为长度为2ai的线载荷更为合理。最后，推导了水力数值模拟模型的边界深度准则，并应用于确定重力坝数值模拟的深度边界公式。
The foundation boundaries of numerical simulation models of hydraulic structures dominated by a vertical load are investigated. The method used is based on the stress formula for fundamental solutions to semi‐infinite space body elastic mechanics under a vertical concentrated force. The limit method is introduced into the original formula, which is then partitioned and analyzed according to the direction of the depth extension of the foundation. The point load will be changed to a linear load with a length of 2a. Inverse proportion function assumptions are proposed at parameteraand depthlof the calculation points to solve the singularity questions of elastic stress in a semi‐infinite space near the ground. Compared with the original formula, changing the point load to a linear load with a length of 2ais more reasonable. Finally, the boundary depth criterion of a hydraulic numerical simulation model is derived and applied to determine the depth boundary formula for gravity dam numerical simulations.