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

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  • Jintao Song
  • Chongshi Gu
  • Hao Gu
  • Shaowei Wang

Abstract

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 . Inverse proportion function assumptions are proposed at parameter and depth 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 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.

Suggested Citation

  • Jintao Song & Chongshi Gu & Hao Gu & Shaowei Wang, 2015. "Derivation Method for the Foundation Boundaries of Hydraulic Numerical Simulation Models Based on the Elastic Boussinesq Solution," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, June.
    • Handle: RePEc:hin:jnlmpe:262163
    DOI: 10.1155/2015/262163
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