Vol. 3, No. 1, pp. 485-511 (2007)
DESIGN OPTIMIZATION OF STEEL MOMENT FRAMES UNDER EXTREME EARTHQUAKE LOADING
Yanglin Gong
Department of Civil Engineering, Lakehead University, Thunder Bay, Ontario, Canada, P7B 5E1
Tel.: +1-807-343-8412; fax: +1-807-343-8928.
(Corresponding author: E-mail :This email address is being protected from spambots. You need JavaScript enabled to view it.)
Received: 3 May 2005; Revised: 26 May 2006; Accepted: 5 June 2006
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ABSTRACT
The paper presents a design optimization method for steel moment frames under extreme earthquake loading. Seismic responses of the structures are evaluated using a nonlinear pushover analysis procedure. Minimum structural cost and uniform heightwise ductility demand are identified as the design objectives. Roof and interstory drifts are taken as design constraints. Strong-column weak-beam requirement is treated as additional constraints for special moment frames. The sensitivities of inelastic displacements are employed to explicitly formulate the objective functions and constraints in terms of member sizing variables. A dual method is then used to search for an optimal design solution. The proposed design methodology is illustrated for a nine-story moment frame example.
KEYWORDS
structural optimization; seismic design; steel moment frames; pushover analysis; ductility; design sensitivity analysis
REFERENCES
[1] BSSC, “NEHRP Recommended Provisions for Seismic Regulations for New Buildings and Other Structures (FEMA 450)”, Building Seismic Safety Council, Washington DC, 2004.
[2] NRC, “National Building Code of Canada 1995”, Associate Committee on National Building Code, National Research Council, Ottawa.
[3] Bruneau, M., Uang, C.M. and Whittaker, A., “Ductile Design of Steel Structures”, McGraw-Hill, 389, 1998.
[4] Chopra, A.K., “Dynamics of Structures: Theory and Applications to Earthquake Engineering”, Prentice Hall, 726, 2001.
[5] Federal Emergency Management Agency, FEMA-356, “Prestandard and Commentary for the Seismic Rehabilitation of Buildings”, ASCE, Reston, Virginia, 2000.
[6] Krawinkler, H. and Seneviratna, G.D.P.K., “Pros and Cons of a Pushover Analysis of Seismic Performance Evaluation”, Eng. Struct., 1998, Vol. 20, pp. 452-464.
[7] Hasan, R., Xu, L. and Grierson, D.E., “Pushover Analysis for Performance-based Seismic Design”, Comp. Struct., 2002, Vol. 80, No. 31, pp. 2483-2493.
[8] Elnashai, A.S., “Do We Really Need Inelastic Dynamic Analysis”, J. Earthquake Eng., 2002, Vol. 6, Special Issue 1, pp. 123-130.
[9] Kirsch, U., “Structural Optimization: Fundamentals and Applications”, Springer-Verlag, 1993.
[10] ASCE, “Recent Advances in Optimal Structural Design”, Edited by Scout B., ASCE, 2002.
[11] Ganzeri, S., Pantelides, C.P. and Reaveley, L.D., “Performance-based Design Using Structural Optimization”, Earthquake Eng. Struct. Dyn., 2002, Vol. 29, pp. 1677-1690.
[12] Chan, C-M. and Zou, X-K., “Elastic and Inelastic Drift Performance Optimization for Reinforced Concrete Buildings Under Earthquake Loads”, Earthquake Eng. Struct. Dyn., 2004, Vol. 33, pp. 929-950.
[13] Liu, M., Burns, S.A. and Wen, Y.K., “Multiobjective Optimization for Performance-based Seismic Design of Steel Moment Frame Structures”, Earthquake Eng. Struct. Dyn., 2005, Vol. 34, pp. 289-306.
[14] Xu. L, Gong, Y. and Grierson, D.E., “Seismic Design Optimization of Steel Building Frameworks”, J. Struct. Eng., ASCE, 2006, Vol. 132, No. 2, pp. 277-286.
[15] Haftka, R.T., “Integrated Nonlinear Structural Analysis and Design”, AIAA Journal, 1989, Vol. 27, No. 11, pp. 1622-1627.
[16] Foley, C.M. and Schinler, D., “Automated Design of Steel Frames Using Advanced Analysis and Object-oriented Evolutionary Computation”, J. Struct. Eng., 2003, Vol. 129, No. 5, pp. 648-660.
[17] Gong, Y., “Optimal Stiffness Distribution of Steel Moment Frames Under Extreme Earthquake Loading”, Advances in Structural Engineering, 2005, Vol. 8, No. 6, pp. 573-584.
[18] McGuire, W., Gallagher, R.H. and Ziemian, R.D., “Matrix Structural Analysis”, 2nd ed., John Wiley & Sons, 2000.
[19] Cohn, M.Z., “Analysis and Design of Inelastic Structures – Volume 2: Problems, University of Waterloo Press, Ontario, Canada, 1972.
[20] CSA, “S16-01: Limit States Design of Steel Structures”, Canadian Standards Association, Ontario, Canada, 2001.
[21] Gong, Y., “Performance-based Design of Steel Building Frameworks Under Seismic Loading”, PhD Thesis, University of Waterloo, Canada.
[22] Wen, Y.K. and Kang, Y.J., “Design Criteria Based on Minimum Expected Life-cycle Cost”, Structural Engineering World Wide, Paper No: T132-2, Elsevier Science, 1998.
[23] AISC, “Manual of Steel Construction, Load & Resistance Factor Design”, Vol. I, 2nd ed., AISC, 1994.
[24] Foutch, D.A. and Yun, S.Y., “Modeling of Steel Moment Frames for Seismic Loads”, J. Construct. Steel Research, 2002, Vol. 58, pp. 529-564.
[25] AISC, “Seismic Provisions for Structural Steel Buildings”, American Institute of Steel Construction, 2002.
[26] Chan, C-M., Grierson, D.E. and Sherbourne, A.N., “Automatic Optimal Design of Tall Steel Building Frameworks”, J. Struct. Eng., 1995, Vol. 121, No. 5, pp. 838-847.
[27] Federal Emergency Management Agency, “Recommended Seismic Design Criteria for New Steel Moment-frame Buildings”, FEMA-350, SAC Joint Venture, 2000.
[28] Arora, J.S., “Methods for Discrete Variable Structural Optimization, Recent Advances in Optimal Structural Design, Edited by Scout B, ASCE, 2002.
[29] Schmit, L.A. and Farshi, B., “Some Approximation Concepts for Structural Synthesis”, AIAA Journal, 1974, Vol. 12, No. 5, pp. 692-699.
[30] Fleury, C., “Structural Weight Optimization by Dual Methods of Convex Programming”, Int. J. Numer. Meth. Engng., 1979, Vol. 14, pp. 1761-1783.
[31] Gong, Y., Xu, L. and Grierson, D.E., “Performance-based Design Sensitivity Analysis of Steel Moment Frameworks Under Seismic Loading”, Int. J. Numer. Meth. Engng., 2005, Vol. 63, pp. 1229-1249.
[32] Gong, Y., Xu, L. and Grierson, D.E., “Sensitivity Analysis of Steel Moment Frames Accounting for Geometric and Material Nonlinearity”, Comp. & Struct., 2006, Vol. 84, No. 7, pp. 462-475.
[33] Chan, S.L., “Non-linear Behaviour and Design of Steel Structures”, J. Construct. Steel Research, 2001, Vol. 57, pp. 1217-1231.
[34] Grierson, D.E., Gong, Y. and Xu, L., Optimal Performance-based Seismic Design Using Modal Pushover Analysis”, J. Earthquake Eng., 2006, Vol. 10, No. 1, pp. 73-96.