Recursive Optimization for Seismic Steel Frames
Publication: Journal of Structural Engineering
Volume 115, Issue 2
Abstract
The theoretical derivations and numerical procedures used in the computer program ODSEWS‐2D‐II for the analysis and optimum design of two‐dimensional regular and irregular steel frames subjected to static, earthquake, and wind forces are presented. The seismic input can be interacting ground motions of actual earthquake records, various response spectra, and different building provisions of the Uniform Building Code (UBC), ATC‐03 in the United States, and TJ‐11 in China. Included are the mathematical formulation based on the consistent mass and the displacement method with consideration of geometric nonlinearity, three levels of recursive optimization procedures, the objective function of minimum construction and damage costs, and the constraints of stresses, displacements, frequencies as well as the upper and lower bounds of the design variables. Several design examples are provided to show the efficiency of the proposed algorithms, the versatility of the computer program, and the effect of the various code requirements on the optimum solutions.
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References
1.
Amendments to ATC‐3‐06. (1982). Nat. Bureau of Standards, Washington, D.C.
2.
Applied Technology Council. (1978). Tentative provisions for the development of seismic regulations for buildings, ATC‐3‐06. Nat. Bureau of Standards, Washington, D.C.
3.
Cheng, F. Y., and Botkin, M. E. (1976). “Nonlinear optimum design of dynamic damped frames.” J. Struct. Engrg., ASCE, 102(ST3), 609–628.
4.
Cheng, F. Y., and Chang, C. C. (1984). “Optimality criteria for safety based design.” Proc. 5th ASCE Engrg. Mech. Conf. I, 54–57.
5.
Cheng, F. Y., and Juang, D. S. (1985). “Optimum design of braced anad unbraced frames for static, seismic, and wind forces with UBC, ATC‐3, and TJ‐11.” NSF Final Rep., NTIS PB 87‐162988/AS.
6.
Cheng, F. Y., and Pantelides, C. P. (1986). “Optimal control of seismic structures.” Proc. 3rd ASCE Engrg. Mech. Conf. I, 764–771.
7.
Cheng, F. Y., and Srifuengfung, D. (1981). “Optimum design for simutaneous multicomponent static and dynamic input.” Int. J. Num. Meth. in Engrg. 13, 353–371.
8.
Cheng, F. Y., and Truman, K. Z. (1983). “Optimization algorithm of 3‐D building systems for static and seismic loadings.” Modelling and simulation in Engineering. North‐Holland Publishing Company, Amsterdam, The Netherlands, 315–326.
9.
Cheng, F. Y., Venkayya, V. B., Khachaturian, N., and Botkin, M. E. (1976). Computer methods of optimum structural design, 5th Ann. Short Course Notes, Vols. 1 and 2. Univ. of Missouri‐Rolla, Rolla, Mo.
10.
“Chinese seismic code provisions for industrial and civil structures” (in Chinese). TJ 11‐78, Beijing, China.
11.
Czarnecki, R. M. (1973). “Earthquake damage to tall buildings.” Dept. of Civ. Engrg. Res. Rep. R73‐8, Massachusetts Inst. of Tech., Cambridge, Mass.
12.
Dobbs, M. W., and Nelson, R. B. (1976). “Application of optimality criteria to automated structural design.” AIAA J. 14(10), 1436–1443.
13.
Fox, R. L., and Kapoor, M. P. (1968). “Rates of change of eigenvalues and eigenvectors.” AIAA J. 6(12).
14.
Housner, G. W. (1959). “Behavior of structures during earthquakes.” J. Engrg. Mech., ASCE, 85(EM4).
15.
Housner, G. W. (1969). “Engineering estimation of ground shaking and maximum earthquake magnitude.” 4th WCEE Proc., 1–13.
16.
Housner, G. W. (1970). “Strong ground motion.” Earthquake engineering, R. L. Wiegel, ed. Chap. 4, Prentice‐Hall, Inc., Englewood Cliffs, N.J.
17.
Kan, M. R., Willmert, K. D., and Thornton, W. A. (1978). “A new optimality criterion method for large scale structures.” AIAA/ASME 19th Struct., Struct. Dyn., and Mat. Conf., Bethesda, Md., 47–58.
18.
Knot, N. S. (1979). “Optimization of aerospace structures to satisfy strength, displacement, and stability requirements—A review and assessment of the state‐of‐the‐art. AFFDL‐TM‐79‐81‐FBR.
19.
“NEHRD recommended provisions for the development of seismic regulations for new buildings.” (1986). FEMA 95, Parts I, II, and III.
20.
Newmark, N. M., Consulting Engineering Services. (1973). “A study of vertical and horizontal earthquake spectra.” Directorate of Licensing United States Atomic Energy Commission.
21.
Newmark, N. M., and Hall, W. J. (1982). Earthquake spectra and design. EERI.
22.
Rizzi, P. (1976). “Optimization of multiconstrained structures based on optimality criteria.” AIAA/ASME/SAE 17th Struct., Struct. Dyn., and Mat. Conf., King of Prussia, Penn., 448–462.
23.
Schimt, L. A. and Farshi, B. (1974).“ Some appromaxition concepts for structural synthesis.” AIAA J. 12(5), 692–699.
24.
Schmit, L. A., and Miura, M. (1976). “Approximation concepts for efficient structural synthesis.” NASA CR‐2552.
25.
Seed, H. B., Ugas, C., and Lysmer, J. (1976). “Site dependent spectra for earthquake‐resistant design.” Bull. Seismological Soc. Am. 66(1), 221–244.
26.
She, S. H. (1982). “Response spectrum of vertical earthquake component.” J. Harbin Arch., and Civ. Engrg. Inst. No. 2, (in Chinese).
27.
Uniform Building Code. (1984) Int. Conf. Building Officials.
28.
Venkayya, V. B. (1971). “Design of optimum structures.” Int. J. Comp. and Struct. 1, 265–309.
29.
Venkayya, V. B., Khot, N. S., and Reddy, V. S. (1969). “Energy distribution in an optimum structural design.” AFFDL‐TR, 24, 68–156.
30.
Walker, N. D., and Pister, K. G. (1980). “A lifetime cost approach to automated earthquake resistant design.” 7th WCEE Proc. 4, 637–644.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 115 • Issue 2 • February 1989
Pages: 445 - 466
Copyright
Copyright © 1989 ASCE.
History
Published online: Feb 1, 1989
Published in print: Feb 1989
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