Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Optimum design of plane steel frames with PR-connections using refined plastic hinge analysis and genetic algorithm

  • Yun, Young Mook (Department of Civil Engineering, Kyungpook National University) ;
  • Kang, Moon Myung (School of Architecture, Kyungpook National University) ;
  • Lee, Mal Suk (School of Architecture, Kyungpook National University)
  • Received : 2005.05.20
  • Accepted : 2006.02.14
  • Published : 2006.07.10
⟨ Previous Next ⟩

Abstract

A Genetic Algorithm (hereinafter GA) based optimum design algorithm and program for plane steel frames with partially restrained connections is presented. The algorithm was incorporated with the refined plastic hinge analysis method, in which geometric nonlinearity was considered by using the stability functions of beam-column members and material nonlinearity was considered by using the gradual stiffness degradation model that included the effects of residual stress, moment redistribution by the occurrence of plastic hinges, partially restrained connections, and the geometric imperfection of members. In the genetic algorithm, a tournament selection method and micro-GAs were employed. The fitness function for the genetic algorithm was expressed as an unconstrained function composed of objective and penalty functions. The objective and penalty functions were expressed, respectively, as the weight of steel frames and the constraint functions which account for the requirements of load-carrying capacity, serviceability, ductility, and construction workability. To verify the appropriateness of the present method, the optimum design results of two plane steel frames with fully and partially restrained connections were compared.

Keywords

References

  1. Ad Hoc Committee on Serviceability (1986), ' Structural serviceability: A critical appraisal and research needs ', J. Struct. Eng., ASCE, 112(12), 2646-2664 https://doi.org/10.1061/(ASCE)0733-9445(1986)112:12(2646)
  2. AISC-LRFD (1986, 1994, 2001), Load and Resistance Factor Design Specifications for Structural Steel Buildings, 1st-3rd Eds., American Institute of Steel Construction, Chicago, IL
  3. Al-Mashary, F. and Chen, W.F. (1991), ' Simplified second-order inelastic analysis for steel frames ', J. Ins.Struct. Eng., 59, 395-399
  4. Attala, M.N., Deierlein, G.G. and McGuire, W (1994), ' Spread of plasticity: Quasi-plastic-hinge approach ', J.Struct. Eng.. ASCE, 120(8), 2451-2473 https://doi.org/10.1061/(ASCE)0733-9445(1994)120:8(2451)
  5. Camp,C., Pezeshk, S. and Cao, G. (1998), ' Optimized design of two-dimensional structures using a genetic algorithm ', J. Struct. Eng.. ASCE, 124(5),551-559 https://doi.org/10.1061/(ASCE)0733-9445(1998)124:5(551)
  6. Chen, W.F. and Lui, E.M. (1986), Structural Stability-Theory and Implementation, Elsevier, New York, NY.
  7. Deirelein, G.G., Zhao, Y. and McGuire, W. (1991), ' A discrete model for gradual plastification and nonlinear connection response in three-dimensional framed structures ', Annual Technical Session Preceedings, Structural Stability Research Council, Lehigh University, Bethlehem, PA., 423-432
  8. Ellingwood, B. (1989), ' Serviceability guidelines for steel structures ', Eng. J., 26(1), 1-8
  9. Foley, C.M., Schinler, D. and Voss, M.S. (2001), ' Optimized design of fully and partially restrained steel frames using advanced analysis and objected-oriented evolutionary computation ', Research Report No. MUE-001-2001, Department of Civil and Environmental Engineering, Marquette University, Milwaukee, WI
  10. Galambos, T. V., Ed. (1988), Guide to Stability Design Criteria for Metal Structures, 4th Ed., Wiley, New York, NY
  11. Holland, J.H. (1975), Adaptation in Natural and Artificial Systems, The University of Michigan Press, Ann Arbor, MI
  12. Kim, K.H. (1999),' Discrete optimum design of steel frame structures based on genetic algorithm and artificial neural network ', Ph.D Dissertation, Dept. of Civil Engineering, Kyungpook National University, Daegu,Korea
  13. Kim, S.E. (1996), ' Practical advanced analysis for steel frame design ', Ph.D Dissertation, School of Civil Engineering, Purdue University, West Lafayette, IN
  14. King, W.S. and Chen, W.F. (1994), ' Practical second-order inelastic analysis of semi-rigid frames ', J. Struct.Eng., ASCE, 120(7), 2156-2175 https://doi.org/10.1061/(ASCE)0733-9445(1994)120:7(2156)
  15. Kishi, N. and Chen, W.F. (1990), ' Moment-rotation relations of semi-rigid connections with angles ', J. Struct.Eng., ASCE, 116(7),1813-1834 https://doi.org/10.1061/(ASCE)0733-9445(1990)116:7(1813)
  16. Krishnakumar, K. (1989),' Micro-genetic algorithms for stationary and non-stationary function optimization ', The Int. Society for Optical Engineering, Intelligent Control and Adaptive Systems, 289-296
  17. Liew,J.Y.R., White, D.W and Chen, W.F. (1993a), ' Second-order refined plastic hinge analysis for frame design: Part I ', J. Struct. Eng., ASCE, 119(11), 3196-3216 https://doi.org/10.1061/(ASCE)0733-9445(1993)119:11(3196)
  18. Liew, J.Y.R., White, D.W and Chen, W.F. (1993b), ' Second-order refined plastic hinge analysis for frame design: Part II ', J. Struct. Eng., ASCE, 119(11), 3217-3237 https://doi.org/10.1061/(ASCE)0733-9445(1993)119:11(3217)
  19. Pezeshk, S., Camp, C.V. and Chen, D. (2000), ' Design of nonlinear framed structures using genetic optimization ', J. Struct. Eng., ASCE, 126(3), 382-388 https://doi.org/10.1061/(ASCE)0733-9445(2000)126:3(382)
  20. Schinler, D. (2000), ' Design of partially restrained steel frames using advanced analysis and objected-oriented evolutionary algorithm ', MS Thesis, Marquette University, Milwaukee, WI
  21. Yun, Y.M. and Kim, B.H. (2005), ' Optimum design of plane steel frame structures using second-order inelastic analysis and a genetic algorithm ', J. Struct. Eng., ASCE, 131(12), 1820-1831 https://doi.org/10.1061/(ASCE)0733-9445(2005)131:12(1820)

Cited by

  1. Discrete optimization of trusses using an artificial bee colony (ABC) algorithm and the fly-back mechanism vol.44, pp.4, 2012, https://doi.org/10.12989/sem.2012.44.4.501
  2. An optimized machine learning based moment-rotation analysis of steel pallet rack connections vol.79, pp.4, 2021, https://doi.org/10.12989/sem.2021.79.4.499