Ductility Design Via Optimum Design of Nonlinear Elastic Frames
Publication: Journal of Structural Engineering
Volume 115, Issue 3
Abstract
A new overall structural flexibility, referred to as “system flexibility,” is defined in this paper for building frames composed of material with an arbitrary, stable, nonlinear, elastic stress‐strain relation which are to be designed to support a set of prescribed lateral loads. The necessary and sufficient conditions for global optimality, and the closed‐form optimum design formula, are derived for the problem of optimum design of a building frame composed of nonlinear elastic beams and linear elastic columns for specified system flexibility. It is shown that, if the cost factors in the optimality conditions are reinterpreted as control parameters for maximum member‐end strains, then the closed‐form optimal design formula derived here can be utilized as a set of practically useful design formulas for ductility design of a building frame consisting of yielding beams (weak beams) and linear elastic columns. It is demonstrated further through a series of time history analyses that this static ductility design method is potentially useful also as a dynamic ductility design method for earthquake loadings.
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References
1.
Austin, M. A., and Pister, K. S. (1985). “Design of seismic‐resistant friction‐braced frames.” J. Struct. Engrg., ASCE, 111(12), 2751–2769.
2.
Balling, R. J., Pister, K. S., and Ciampi, V. (1983). “Optimal seismic‐resistant design of a planar steel frame.” Earthquake Engrg. and Struct. Dyn., 11(4), 541–556.
3.
Bhatti, M. A., and Pister, K. S. (1981). “A dual criteria approach for optimal design of earthquake‐resistant structural systems.” Earthquake Engrg. and Struct. Dyn., 9(6), 557–572.
4.
Cinquini, C. (1984). “Optimality criteria for materials with nonlinear behavior: Application to beams in bending.” Engrg. Struct., 6(1), 61–64.
5.
Dems, K., and Mróz, Z. (1978). “Multiparameter structural shape optimization by the finite element method.” Int. J. for Numerical Meth. in Engrg., 13(2), 247–263.
6.
Drucker, D. C. (1958). “Variational principles in the mathematical theory of plasticity.” Proc. of Symposia in Appl. Math., McGraw‐Hill, 8, 7–22.
7.
Gasparini, D. A., and Vanmarcke, E. H. (1976). “Simulated earthquake motions compatible with prescribed response spectra‐SIMQKE.” Computer program distributed by National Information Service for Earthquake Engineering, Berkeley, Calif.
8.
Kaldjian, M. J. (1967). “Moment‐curvature of beams as Ramberg‐Osgood functions.” J. Struct. Div., ASCE, 93(5), 53–65.
9.
Kanaan, A. E., and Powell, G. H. (1973). “A general purpose computer program for dynamic analysis of inelastic plane structures‐DRAIN‐2D.” Computer program distributed by National Information Service for Earthquake Engineering, Berkeley, Calif.
10.
Mróz, Z., Kamat, M. P., and Plaut, R. H. (1985). “Sensitivity analysis and optimal design of nonlinear beams and plates.” J. Struct. Mech., 13(3 & 4), 245–266.
11.
Nakamura, Tsuneyoshi (1980). Optimum design of building frames. Maruzen, Tokyo. In Japanese.
12.
Nakamura, Tsuneyoshi, and Takenaka, Y. (1983). “Optimum design of multistory multispan frames for prescribed elastic compliance.” J. Struct. Mech., 11(3), 271–295.
13.
Nakamura, Tsuneyoshi, and Yamane, T. (1986). “Optimum design and earthquakeresponse constrained design of elastic shear buildings.” Earthquake Engrg. and Struct. Dyn., 14(5), 797–815.
14.
Newmark, N. M., and Hall, W. J. (1982). Earthquake spectra and design. Earthquake Engrg. Res. Inst., Berkeley, Calif.
15.
Polak, E., Pister, K. S., and Ray, D. (1976). “Optimal design of framed structures subjected to earthquakes.” Engrg. Optimization, 2(1), 65–71.
16.
Prager, W. (1972). “Conditions for structural optimality.” Comput. Struct., 2(5 & 6), 833–840.
17.
Prager, W. (1974). “Introduction to structural optimization.” Springer, Udine, Italy.
18.
Prager, W., and Taylor, J. E. (1968). “Problems of optimal structural design.” J. Appl. Mech., 35(1), 102–106.
19.
Ryu, Y. S., Haririan, M., Wu, C. C., and Arora, J. S. (1985). “Structural design sensitivity analysis of nonlinear response.” Comput. and Struct., 21(1 & 2), 245–255.
20.
Yokoo, Y., and Nakamura, Tsuneyoshi (1977). “Nonstationary hysteretic uniaxial stress‐strain relations of a wide‐flange steel, Part II: Empirical formulae.” Trans. Architectural Institute of Japan, 260, 71–82.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 115 • Issue 3 • March 1989
Pages: 608 - 625
Copyright
Copyright © 1989 ASCE.
History
Published online: Mar 1, 1989
Published in print: Mar 1989
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