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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)
  • 투고 : 2016.06.14
  • 심사 : 2016.10.21
  • 발행 : 2017.01.25

초록

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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참고문헌

  1. Adhikari, S. and Haddad Khodaparast, H. (2013), "A spectral approach for fuzzy uncertainty propagation in finite element analysis", Fuzzy Set. Syst., 243, 1-24.
  2. Adhikari, S., Chowdhury, R. and Friswell, M.I. (2010), "Fuzzy structural dynamics using high dimensional model representation", Proceedings of ISMA 2010 Including USD2010, 4993-5006.
  3. Anh, H. Pham, Thanh, X. Nguyen and Hung, V. Nguyen (2014), "Fuzzy structural analysis using improved differential evolution optimization", Proceedings of the International Conference on Engineering Mechanic and Automation (ICEMA 3), Hanoi, October.
  4. Anh, Q. Vu (2002), "Stability analysis of steel frames with semi-rigid connections and rigid zones by using P-Delta effect", Vietnam J. Mech., VAST, 24(1), 14-24. https://doi.org/10.15625/0866-7136/24/1/6605
  5. Biggs, K.A., Ramseyer, C., Ree, S. and Kang, T.H.-K. (2015), "Experimental testing of cold-formed builtup members in pure compression", Steel Compos. Struct., 18(5), 1331-1351. https://doi.org/10.12989/scs.2015.18.6.1331
  6. Efren, M. Montes, Margarita, R. Sierra and Carlos, A. Coello Coello (2013), "Multi-objective optimization using differential evolution: A survey of the state-of-the-art", Soft Comput. Appl. (SCA), 1(1), 173-196.
  7. Keyhani, A. and Shahabi, S.M.R. (2012), "Fuzzy connections in structural analysis", Mechanika, 18(4), 380-386.
  8. Khennane, A. (2013), Introduction to finite element analysis, Using Matlab and Abaqus, CRS Press, Taylor and Francis Group, London.
  9. Mason, R.L., Gunst, R.F. and Hess, J.L. (2003), Statistical design and analysis of experiments:With applications to engineering and science, 474, John Wiley & Sons.
  10. Morales, A.L., Rongong, J.A. and Sims, N.D. (2011), "A fuzzy finite element method programmed in MATLAB for the analysis of uncertain control systems of structures", MATLAB-A Ubiquitous Tool for the Practical Engineer, 291-304.
  11. Piyawat, K., Ramseyer, C. and Kang, T.H.-K., "Development of an axial load capacity equation for doublysymmetric built-up cold-formed sections", J. Struct. Eng., 139(12), 04013008.
  12. Queipo, N.V., Haftka, R.T., Shyy, W., Goel, T., Vaidyanathan, R. and Tucker, P.K. (2005), "Surrogate based analysis and optimization", Prog. Aerospace Sci., 41(1), 1-28. https://doi.org/10.1016/j.paerosci.2005.02.001
  13. Storn, R. and Price, K. (1995), "Differential evolution-A simple and efficient adaptive sheme for global optimization over continuous spaces", Int. Comput. Science Institute, Berkeley.
  14. Storn, R. and Price, K. (1997), "Differential evolution-A simple and efficient heuristic for global optimization over continuous spaces", J. Global Optim., 11(4), 341-359. https://doi.org/10.1023/A:1008202821328
  15. Tuan, H. Nguyen, Huynh, X. Le and Anh, H. Pham (2015), "A fuzzy finite element algorithm based on response surface method for free vibration analysis of structure", Vietnam J. Mech., 37(1), 17-27. https://doi.org/10.15625/0866-7136/37/1/3923
  16. Verhaeghe, W., Munck, M.D., Desmet, W., Vandepitte, D. and Moens, D. (2010), "Fuzzy finite element analysis technique for structural static analysis based on interval fields", Proceedings of the 4th International workshop on reliable Engineering Computing, 117-28.