Advances in Computational Design

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Fuzzy analysis for stability of steel frame with fixity factor modeled as triangular fuzzy number

  • Tran, Thanh Viet (Department of Civil Engineering, Duy Tan University) ;
  • Vu, Quoc Anh (Department of Civil Engineering, Ha Noi Architectural University) ;
  • Le, Xuan Huynh (Department of Civil Engineering, National University of Civil Engineering)
  • Received : 2016.06.14
  • Accepted : 2016.10.21
  • Published : 2017.01.25
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Abstract

This study presents algorithms for determining the fuzzy critical loads of planar steel frame structures with fixity factors of beam - column and column - base connections are modeled as triangular fuzzy numbers. The finite element method with linear elastic semi-rigid connection and Response Surface Method (RSM) in mathematical statistic are applied for problems with symmetric triangular fuzzy numbers. The ${\alpha}$ - level optimization using the Differential Evolution (DE) involving integrated finite element modeling is proposed to apply for problems with any triangular fuzzy numbers. The advantage of the proposed methodologies is demonstrated through some example problems relating to for the twenty - story, four - bay planar steel frames.

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References

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