Reliability‐Based Optimum Design for UBC and Nondeterministic Seismic Spectra
Publication: Journal of Structural Engineering
Volume 120, Issue 1
Abstract
Reliability‐based optimization techniques are developed for steel structures subjected to seismic loadings of the Uniform Building Code and Newmark's nondeterministic seismic response spectra. Reliability is based on two different distributions of response and resistance with two variance approaches. Two objective functions of weight and cost, and various constraints, such as displacements, yielding, and buckling of constituent members, are considered in the optimization formulations. Numerical examples are provided to study sensitivities of parameters, such as variation of earthquake load, different probability distributions, different variance approaches, and interacting ground motion on optimum solutions.
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References
1.
Ang, A. H‐S., and Cornell, C. A. (1974). “Reliability bases of structural safety and design.” J. Struct. Div., ASCE, 100(9), 1755–1769.
2.
Austin, M. A., and Pister, K. S. (1985). “Design of seismic‐resistant friction‐braced frames.” J. Struct. Div., ASCE, 111(12), 2751–2769.
3.
Austin, M. A., Pister, K. S., and Mahin, S. A. (1987a). “Probabilistic design of moment‐resistant structures.” J. Struct. Div., ASCE, 113(8), 1642–1659.
4.
Austin, M. A., Pister, K. S., and Mahin, S. A. (1987b). “Probabilistic design of moment‐resistant frames under seismic loading.” J. Struct. Div., ASCE, 113(8), 1660–1677.
5.
Balling, R. J., Pister, K. S., and Polak, E. (1983). “DELIGHT.SSTRUCT: A computer‐aided design environment for structural engineering.” Comp. Methods in Appl. Mech. and Engrg., 237–251.
6.
Cheng, F. Y. (1981). “Evaluation of frame systems based on optimality criteria with multicomponent seismic inputs, performance constraints, and P‐Δ effect.” Optimization of distributed parameter structural systems, Vol. 1, Sijthoff and Noordhoff Int., 650–684.
7.
Cheng, F. Y. (1990). “Optimum design of seismic structures: methodologies and results.” Proc. of 4th U.S. Nat. Conf. on Earthquake Engrg., Vol. 2, 917–927.
8.
Cheng, F. Y., and Chang, C. C. (1988). “Safety‐based optimum design of nondeterministic structures subjected to various types of seismic loads.” NTIS No. PB90‐133489/AS, U.S. Dept. of Commerce, Washington, D.C.
9.
Cheng, F. Y., and Chang, C. C. (1984). “Optimality criteria for safety based design.” Proc., 5th ASCE Engineering Mechanics Div. Specialty Conf., Vol. 1, ASCE, New York, N.Y., 54–57.
10.
Cheng, F. Y., and Chang, C. C. (1985). “Optimum design of steel building with consideration of reliability.” Proc., 4th Int. Conf. on Structural Safety and Reliability, Vol. 3, 81–88.
11.
Cheng, F. Y., and Chang, C. C. (1987). “Aseismic structural optimization with safety criteria and code provisions.” Proc., U.S.‐Asia Conf. on Engineering for Mitigating Natural Hazards Damage, D8/1–D8/12.
12.
Cheng, F. Y., and Juang, D. S. (1988). “Assessment of various code provisions based on optimum design of steel structures.” J. Earthquake Engrg. and Struct. Dynamics, 16, 46–61.
13.
Cornell, C. A. (1967). “Bounds on the reliability of structural systems.” J. Struct. Div., ASCE, 93(2), 171–200.
14.
Cornell, C. A. (1968). “Engineering seismic risk analysis.” Bull. Seismological Soc. of Am., 58, 1583–1600.
15.
Davidson, J. W., Felton, L. P., and Hart, G. C. (1980). “On reliability‐based optimization for earthquake.” Comp. and Struct., 12, 99–105.
16.
Ellingwood, B., and Ang, A. H‐S. (1972). “A probabilistic study of safety criteria for design.” Structural res. ser. no. 387, Univ. of Illinois, Urbana, Ill.
17.
Gallo, M. P. (1971). “Evaluation of safety of reinforced concrete buildings to earthquakes.” PhD thesis, Univ. of Illinois, Urbana, Ill.
18.
Kim, H. S., and Wen, Y. K. (1987). “Reliability‐based structural optimization under stochastic time varying loads.” Structural res. series No. 533, Civ. Engrg. Studies, Univ. of Illinois at Urbana‐Champaign, Urbana, Ill.
19.
Mohraz, B., Hall, W., and Newmark, N. (1972). A study of vertical and horizontal earthquake spectra, Div. of Reactor Standards, U.S. Atomic Energy Commission, Washington, D.C.
20.
NBS 577, development of a probability‐based load criterion for American national standards A58. (1980). Nat. Bureau of Standards, Washington, D.C.
21.
Truman, K. Z., and Cheng, F. Y. (1990). “Optimum assessment of irregular 3‐D buildings.” J. Struct. Engrg., ASCE, 116(12), 3324–3337.
22.
Tumma, J. J., and Cheng, F. Y. (1983). Dynamic structural analysis. McGraw‐Hill Book Co., New York, N.Y.
23.
Uniform building code. (1985). Int. Conf. of Build. Officials, Whittier, Calif.
24.
Uniform building code. (1988). Int. Conf. of Build. Officials, Whittier, Calif.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 120 • Issue 1 • January 1994
Pages: 139 - 159
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Dec 7, 1992
Published online: Jan 1, 1994
Published in print: Jan 1994
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