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Derivation Method for the Foundation Boundaries of Hydraulic Numerical Simulation Models Based on the Elastic Boussinesq Solution

机译:基于弹性Boussinesq解的水力数值模拟模型基础边界的推导方法

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摘要

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 parameter a and depth l of 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 2a is 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.
机译:研究了以竖向荷载为主的水工建筑物数值模拟模型的基础边界。所使用的方法基于应力公式,用于在垂直集中力作用下半无限空间体弹性力学的基本解。将极限法引入原始公式中,然后根据基础深度扩展的方向进行划分和分析。点负载将更改为长度为2a的线性负载。在计算点的参数a和深度l处提出反比例函数假设,以解决靠近地面的半无限空间中弹性应力的奇异性问题。与原始公式相比,将点载荷更改为长度为2a的线性载荷更为合理。最后,推导了水力数值模拟模型的边界深度准则,并将其应用于确定重力坝数值模拟的深度边界公式。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第10期|262163.1-262163.7|共7页
  • 作者单位

    Hohai Univ, Coll Water Conservancy & Hydropower, Nanjing 210098, Jiangsu, Peoples R China.;

    Hohai Univ, Coll Water Conservancy & Hydropower, Nanjing 210098, Jiangsu, Peoples R China.;

    Hohai Univ, Coll Water Conservancy & Hydropower, Nanjing 210098, Jiangsu, Peoples R China.;

    Hohai Univ, Coll Water Conservancy & Hydropower, Nanjing 210098, Jiangsu, Peoples R China.;

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