Boundary condition of static analysis using two-dimensional Finite Element Method

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  • 2次元FEMを使用した静的解析の境界条件について
  • －エネルギー伝達境界の静的解析への応用－
  • - Application of energy transmitting boundary to static analysis -

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In geotechnical engineering, static analysis by the 2-dimensional finite element method (FEM) typically uses vertical rollers as lateral boundary conditions along both vertical model edges. However, determination of the appropriate location of the vertical rollers in the model and the accuracy of the analysis are strongly influenced by the experience and knowledge of the engineers performing the analysis. To reduce uncertainty, the model is assumed to consist of two zones: an irregular zone (the FEM zone) and a horizontally layered zone (the free field). An energy transmitting boundary with a frequency of zero is applied as a boundary condition between the FEM zone and the free field. This approach is typical in conventional dynamic soil-structure interaction analysis. In this paper, three types of boundary conditions, specifically, (1) vertical roller boundary, (2) free boundary, and (3) energy transmitting boundary, are examined and the results are compared with a reference solution while changing the size of the model. Using the energy transmitting boundary for the lateral boundary produced excellent results in static analysis for all distances from the structure. Static analysis with the energy transmitting boundary also achieved accuracy similar to that of conventional dynamic soil-structure interaction analysis.

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