DOI QR코드

DOI QR Code

Optimum design of steel frame structures considering construction cost and seismic damage

  • Kaveh, A. (Centre of Excellence for Fundamental Studies in Structural Engineering, Iran University of Science and Technology) ;
  • Fahimi-Farzam, M. (Centre of Excellence for Fundamental Studies in Structural Engineering, Iran University of Science and Technology) ;
  • Kalateh-Ahani, M. (Centre of Excellence for Fundamental Studies in Structural Engineering, Iran University of Science and Technology)
  • Received : 2014.04.24
  • Accepted : 2014.07.01
  • Published : 2015.07.25

Abstract

Minimizing construction cost and reducing seismic damage are two conflicting objectives in the design of any new structure. In the present work, we try to develop a framework in order to solve the optimum performance-based design problem considering the construction cost and the seismic damage of steel moment-frame structures. The Park-Ang damage index is selected as the seismic damage measure because it is one of the most realistic measures of structural damage. The non-dominated sorting genetic algorithm (NSGA-II) is employed as the optimization algorithm to search the Pareto optimal solutions. To improve the time efficiency of the proposed framework, three simplifying strategies are adopted: first, simplified nonlinear modeling investigating minimum level of structural modeling sophistication; second, fitness approximation decreasing the number of fitness function evaluations; third, wavelet decomposition of earthquake record decreasing the number of acceleration points involved in time-history loading. The constraints of the optimization problem are considered in accordance with Federal Emergency Management Agency's (FEMA) recommended seismic design specifications. The results from numerical application of the proposed framework demonstrate the efficiency of the framework in solving the present multi-objective optimization problem.

Keywords

References

  1. American Institute of Steel Construction (AISC) (2010), Seismic Provisions for Structural Steel Buildings (ANSI/AISC 341-10), Chicago.
  2. American Institute of Steel Construction (AISC-LRFD) (2010), Specification for Structural Steel Buildings (ANSI/AISC 360-10), Chicago.
  3. American Society of Civil Engineers (ASCE-7) (2010), Minimum Design Loads for Buildings and Other Structures (ASCE/SEI 7-10), Virginia.
  4. Arjomandi, K., Estekanchi, E. and Vafai, A. (2009), "Correlation between structural performance levels and damage indexes in steel frames subjected to earthquakes", Sci. Iran Trans. A., 16(2), 144-155.
  5. Buhmann, M.D. and Ablowitz, M.J. (2003), Radial Basis Functions: Theory and Implementations, Cambridge University Press, Cambridge.
  6. Coello, C.A.C., Pulido, G.T. and Lechuga, M.S. (2004), "Handling multiple objectives with particle swarm optimization", IEEE Trans. Evol. Comput., 8(3), 256-279. https://doi.org/10.1109/TEVC.2004.826067
  7. Datta, D. and Ghosh, S. (2008), "Uniform hazard spectra based on Park-Ang damage index", J. Earthq. Tsunami, 2(3), 241-258. https://doi.org/10.1142/S1793431108000414
  8. Deb, K. (2009), Multi-Objective Optimization Using Evolutionary Algorithms, Wiley, New York.
  9. Deb, K., Pratap, A., Agarwal, S. and Meyarivan, T. (2002), "A fast and elitist multi objective genetic algorithm: NSGA-II", IEEE Trans. Evol. Comput., 6(2), 182-197. https://doi.org/10.1109/4235.996017
  10. Federal Emergency Management Agency (FEMA) (1997), NEHRP Guidelines for the Seismic Rehabilitation of Building, Rep. FEMA 273, Washington, DC.
  11. Federal Emergency Management Agency (FEMA) (2000), "Recommended Seismic Design Criteria for New Steel Moment-Frame Buildings", Rep. FEMA 350, Washington, DC.
  12. Foley, C.M., Pezeshk, S. and Alimoradi, A. (2007), "Probabilistic performance-based optimal design of steel moment-resisting frames II: formulations", J. Struct. Eng. - ASCE, 133(6), 767-776. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:6(767)
  13. Gholizadeh, S. and Salajegheh, E. (2009), "Optimal design of structures subjected to time history loading by swarm intelligence and an advanced meta-model", Comput. Method. Appl. M., 198(37-40), 2936-2949. https://doi.org/10.1016/j.cma.2009.04.010
  14. Gholizadeh, S. and Samavati, O.A. (2011), "Structural optimization by wavelet transforms and neural networks", Appl. Math. Model, 35(2), 915-929. https://doi.org/10.1016/j.apm.2010.07.046
  15. Ghosh, S., Datta, D. and Katakdhond, A. (2011), "Estimation of the Park-Ang damage index for planar multi-storey frames using equivalent single-degree systems", Eng. Struct., 33(9), 2509-2524. https://doi.org/10.1016/j.engstruct.2011.04.023
  16. Ibarra, L.F. and Krawinkler, H. (2005), Global collapse of frame structures under seismic excitations, Rep. No. TB 152, The John A. Blume Earthquake Engineering Center, Stanford Univ., Stanford, CA.
  17. Jin, Y.A. (2005), "Comprehensive survey of fitness approximation in evolutionary computation", Soft Comp., 9(1), 3-12. https://doi.org/10.1007/s00500-003-0328-5
  18. Jin, Y. and Sendhoff, B. (2004), Reducing Fitness Evaluations Using Clustering Techniques and Neural Network Ensembles. Genetic and Evolutionary Computation (GECCO). Lecture Notes in Computer Science;3102,688-699.
  19. Karbassi, A., Mohebi, B., Rezaee, S. and Lestuzzi, P. (2014), "Damage prediction for regular reinforced concrete buildings using the decision tree algorithm", Comput. Struct., 130, 46-56. https://doi.org/10.1016/j.compstruc.2013.10.006
  20. Kaveh, A., Fahimi-Farzam, M. and Kalateh-Ahani, M. (2012), "Time-history analysis based optimal design of space trusses: The CMA evolution strategy approach using GRNN and WA", Struct. Eng. Mech., 44(3), 379-403. https://doi.org/10.12989/sem.2012.44.3.379
  21. Kaveh, A., Laknejadi, K. and Alinejad, B. (2011), "Performance-based multi-objective optimization of large steel structures", Acta Mech., 223(2), 355-369. https://doi.org/10.1007/s00707-011-0564-1
  22. Kunnath, S.K., Reinhorn A.M. and Lobo R.F. (1992), IDARC version 3.0: a program for the inelastic damage analysis of reinforced concrete structures, Technical Report NCEER-92-0022, National Center for Earthquake Engineering Research, Buffalo.
  23. Lignos, D.G. and Krawinkler, H. (2011), "Deterioration modeling of steel beams and columns in support to collapse prediction of steel moment frames", J. Struct. Eng.- ASCE, 137(11), 1291-1302. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000376
  24. Lignos, D., Putman, CH. and Krawinkler, H. (2011), "Seismic assessment of steel moment frames using simplified nonlinear models", Proceedings of the 3rd ECCOMAS Thematic Conf. on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2011), Corfu, Greece, 25-28 May.
  25. Liu, M., Burns, S.A. and Wen, Y.K. (2005), "Multiobjective optimization for performance-based seismic design of steel moment frame structures", Earthq. Eng. Struct. D., 34(3), 289-306. https://doi.org/10.1002/eqe.426
  26. MATLAB (2011), The Language of Technical Computing, Version 7.12.0.635, Math Works Inc., .
  27. Miyamoto, S., Ichihashi, H. and Honda, K. (2008), Algorithms for Fuzzy Clustering: Methods in c-Means Clustering with Applications, Springer, Berlin.
  28. Nakashima, M., Ogawa, K. and Inoue, K. (2001), "Generic frame model for simulation of earthquake responses of steel moment frames", Earthq. Eng. Struct. D., 31(3), 671-692. https://doi.org/10.1002/eqe.148
  29. OpenSees (2013), Open system for earthquake engineering simulation, Version 2.4.2., Pacific Earthquake Engineering Research Center, Berkeley, Calif., .
  30. Park, Y.J. and Ang, A. (1985), "Mechanistic seismic model for reinforced concrete", J. Struct. Eng.- ASCE, 111(4), 722-739. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(722)
  31. Park, Y.J., Ang, A. and Wen, Y.K. (1987), "Damage-limiting aseismic design of buildings", Earthq. Spectra, 3(1), 1-26. https://doi.org/10.1193/1.1585416
  32. PEER (2010), Strong motion database Pacific Earthquake Engineering Research Center, .
  33. Salajegheh, E. and Heidari, A. (2005), "Time history dynamic analysis of structures using filter banks and wavelet transforms", Comput. Struct., 83(1), 53-68. https://doi.org/10.1016/j.compstruc.2004.08.008
  34. Samarasinghe, S. (2006), Neural Networks for Applied Sciences and Engineering: From Fundamentals to Complex Pattern Recognition, Auerbach Publications, New York.
  35. SeismoSignal (2012), Earthquake Engineering Software Solutions, Version 5.0.0, SeismoSoft Inc., .
  36. Strang, G. and Nguyen, T. (1996), Wavelets and Filter Banks, Cambridge Press, Wellesley.
  37. Talbi, E.G. (2009), Metaheuristics: from Design to Implementation, Wiley, New Jersey.
  38. Towhata, I. (2008), Geotechnical Earthquake Engineering, Springer, Berlin.

Cited by

  1. Truss optimization with dynamic constraints using UECBO vol.1, pp.2, 2016, https://doi.org/10.12989/acd.2016.1.2.119
  2. A Comparison between different techniques for optimum design of steel frames subjected to blast vol.15, pp.9, 2018, https://doi.org/10.1590/1679-78254952
  3. Optimum design of stiffened plates for static or dynamic loadings using different ribs vol.74, pp.2, 2015, https://doi.org/10.12989/sem.2020.74.2.255
  4. Surrogate modeling for structural response prediction of a building class vol.89, pp.None, 2015, https://doi.org/10.1016/j.strusafe.2020.102041
  5. Effects of demand parameters in the performance-based multi-objective optimum design of steel moment frame buildings vol.153, pp.None, 2015, https://doi.org/10.1016/j.soildyn.2021.107075