Reliability‐Based Vector Optimization of Structural Systems
Publication: Journal of Structural Engineering
Volume 116, Issue 8
Abstract
Virtually all structural optimizations based on system reliability were conducted considering only the ultimate state of plastic collapse initiated from the intact (i.e., undamaged) system. These single‐objective optimizations may result in decreasing the safety levels with respect to other limit states of concern, such as deformation, plastic hinge occurrences, and residual system reliability. Motivated by the need of a rational reliability‐based multilimit‐state optimization approach, where different conflicting requirements in the design of structural systems are considered simultaneously, a vector‐optimization approach is formulated. In this approach a vector‐valued objective function is examined, and the system safety is considered with regard to multiple reliability requirements imposed simultaneously. The solution to this problem is defined as the set of noninferior solutions in the space of decision variables. A three‐step reliability‐based vector‐optimization searching strategy is suggested, a decision support space is proposed, and examples of solutions for both nondeterministic truss and frame systems are presented.
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References
1.
Cohn, M. Z. (1972). Analysis and design of inelastic structures, vol. 2: Problems. Solid Mechanics Division, Univ. of Waterloo, Waterloo, Ontario, Canada.
2.
Ditlevsen, O. (1979). “Narrow reliability bounds for structural systems.” J. Struct. Mech., 7(4), 453–472.
3.
Feng, Y. S., and Moses, F. (1986). “A method of structural optimization based on structural system reliability.” J. Struct. Mech., 14(4), 437–453.
4.
Frangopol, D. M. (1985). “Structural optimization using reliability concepts,” J. Struct. Engrg., ASCE, 111(11), 2288–2301.
5.
Frangopol, D. M., ed. (1989). New directions in structural system reliability. Univ. of Colorado, Boulder, Colo.
6.
Frangopol, D. M., and Fu, G. (1989). “Optimization of structural systems under reserve and residual reliability requirements.” Reliability and optimization of structure systems '88, P. Thoft‐Christensen, ed., vol. 48, Springer‐Verlag, New York, N.Y., 135–145.
7.
Frangopol, D. M., and Fu, G. (1990). “Limit states reliability interaction in optimum design of structural systems.” Structural safety and reliability, A. H.‐S. Ang, M. Shinozuka, and G. I. Schuëller, eds., ASCE, New York, N.Y., III, 1879–1886.
8.
Frangopol, D. M., and Klisinski, M. (1989a). “Material behavior and optimum design of structural systems.” J. Struct. Div., ASCE, 115(5), 1054–1075.
9.
Frangopol, D. M., and Klisinski, M. (1989b). “Vector optimization of structural systems.” Computer utilization in structural engineering, J. K. Nelson, ed., ASCE, New York, N.Y., 490–499.
10.
Fu, G., and Frangopol, D. M. (1987). “Reliability‐based multiobjective structural optimization, Phase 1: Applications to truss systems.” Structural Research Series No. 87‐15, Dept. of Civ. Engrg., Univ. of Colorado, Boulder, Colo.
11.
Fu, G., and Frangopol, D. M. (1988a). “Multicriterion reliability‐based optimization of structural systems.” Probabilistic methods in civil engineering, P. D. Spanos, ed., ASCE, New York, N.Y., 177–180.
12.
Fu, G., and Frangopol, D. M. (1988b). “Reliability‐based multiobjective structural optimization, Phase 2: Applications to frame systems.” Structural Research Series No. 88‐01, Dept. of Civ. Engrg., Univ. of Colorado, Boulder, Colo.
13.
Fu, G., and Moses, F. (1987). “Lifetime system reliability models with application to highway bridges.” Reliability and risk analysis in civil engineering, vol. 1, N. C. Lind ed., Inst. for Risk Res., Univ. of Waterloo, Waterloo, Ontario, Canada, 71–78.
14.
Grierson, D. E., and Cameron, G. E. (1984). “Computer‐automated synthesis of building frameworks.” Paper No. 189, Solid Mech. Div., Univ. of Waterloo, Waterloo, Ontario, Canada.
15.
Hwang, C.‐L., and Masud, A. (1979). Multiple objective decision making: Methods and applications, Springer‐Verlag, New York, N.Y.
16.
Ishikawa, N., and Iizuka, M. (1987). “Optimal reliability‐based design of large framed structures.” Engineering optimization, vol. 10(4), 245–261.
17.
Moses, F. (1982). “System reliability developments in structural engineering.” Structural safety, vol. 1(1), 3—13.
18.
Osyczka, A. (1984). Multicriterion optimization in engineering, Ellis Horwood Ltd., Chichester, England.
19.
Rackwitz, R., and Cuntze, R. (1987). “Formulations of reliability‐oriented optimization.” Engineering optimization, vol. 11(1/2), 69–76.
20.
Sørensen, J. D. (1987). “Reliability‐based optimization of structural systems.” Structural Reliability Theory Paper No. 32, Inst. of Bldg. Tech. and Struct. Engrg., Aalborg Univ., Aalborg, Denmark.
21.
Thoft‐Christensen, P. (1987). “Application of optimization methods in structural systems reliability theory.” Structural Reliability Theory Paper No. 33, Inst. of Bldg. Tech. and Struct. Engrg., Aalborg Univ., Aalborg, Denmark.
22.
Thoft‐Christensen, P., and Murotsu, Y. (1986). Application of structural systems reliability theory, Springer‐Verlag, New York, N.Y.
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Copyright © 1990 ASCE.
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Published online: Aug 1, 1990
Published in print: Aug 1990
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