System Reliability Evaluation of Ductile Frame Structures
Publication: Journal of Structural Engineering
Volume 124, Issue 6
Abstract
The system reliability evaluation of ductile frame structures presents two difficulties. One is the identification of significant failure modes; the other is the computation of overall failure probabilities contributed from these significant modes. In this paper, a practical procedure is developed, in which a failure mode independent performance function is defined using load factor obtained by limit analysis, and a response surface approach is used to approximate the performance function. With the performance function of explicit second-degree polynomial, the failure probability can be readily obtained using First and Second Order Reliability Method (FORM/SORM). Several examples are investigated, and it is found that the obtained response surface is a good approximation of the inner connotative surface of the limit state surfaces of the structural system. The proposed procedure has good efficiency and enough accuracy for system reliability evaluation of ductile frame structures. The difficulty in both failure mode identification and failure probability computation can be avoided by using the proposed procedure.
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References
1.
Ang, A. H.-S., and Ma, H. F. (1981). “On the reliability of structural systems.”Proc., 3rd Int. Conf. on Struct. Safety and Reliability, Elsevier, Amsterdam, The Netherlands, 295–314.
2.
Aoyama, H. (1988). Structural analysis by method of matrix. Paifukan Press, Tokyo, Japan (in Japanese).
3.
Bennett, R. M., and Ang, A. H.-S.(1987). “Formulation of structural system reliability.”J. Engrg. Mech., ASCE, 112(11), 1135–1151.
4.
Box, G. E. P., Hunter, W. G., and Hunter, J. S. (1978). Statistical for experimenters. John Wiley & Sons, Inc., New York, N.Y.
5.
Bucher, C. G., and Bourgund, U.(1990). “A fast and efficient response surface approach for structural reliability problems.”Struct. Safety, 7, 57–66.
6.
Bucher, C. G., Chen, Y. M., and Schueller, G. I. (1988). “Time variant reliability analysis utilizing response surfaces approach.”Reliability and optimization of structural system '88, P. Thoft-Christensen, ed., Springer-Verlag, Berlin, Germany, 1–14.
7.
Cornell, C. A.(1966). “Bounds on the reliability of structural systems.”J. Struct. Div., ASCE, 93(1), 171–200.
8.
Draper, N., and Smith, H. (1981). Applied regression analysis, 2nd Ed., John Wiley & Sons, Inc., New York, N.Y.
9.
Faravelli, L.(1989). “Response surface approach for reliability analysis.”J. Engrg. Mech., ASCE, 115(12), 2763–2781.
10.
Grimmelt, M. J., and Schueller, G. I.(1982). “Benchmark study on methods to determine collapse failure probabilities of redundant structures.”Struct. Safety, 1, 93–106.
11.
Idota, H., Ono, T., and Hayakawa, Y. (1991). “A study on analysis of highly redundant structural systems.”Proc., 2nd Japanese Conf. on Struct. Safety and Reliability. Japan Society of Civil Engineers, Tokyo, Japan, 497–502 (in Japanese).
12.
Liu, Y. W., and Moses, F.(1994). “A sequential response surface method and its application in the reliability analysis of aircraft structural systems.”Struct. Safety, 16, 39–46.
13.
Livesley, R. K. (1976). Matrix methods of structural analysis, 2nd Ed., Pergamon Press, New York, N.Y.
14.
Melchers, R. E. (1987). Structural reliability—analysis and prediction. John Wiley & Sons, Inc., New York, N.Y.
15.
Melchers, R. E.(1994). “Structural system reliability assessment using directional simulation.”Struct. Safety, 16, 23–37.
16.
Melchers, R. E., and Tang, L. K. (1985). “Failure mode in complex stochastic systems.”Proc., 4th Int. Conf. on Struct. Safety and Reliability, Vol. 1, IASSAR, New York, N.Y., 97–106.
17.
Moses, F.(1982). “System reliability developments in structural engineering.”Struct. Safety, 1, 3–13.
18.
Murotsu, Y., Okada, H., Grimmelt, M. J., Yonezawa, M., and Taguchi, K.(1984). “Automatic generation of stochastically dominant failure modes of frame structures.”Struct. Safety, 2, 17–25.
19.
Nafday, A. M.(1987). “Failure mode identification for structural frames.”J. Struct. Engrg., ASCE, 113(7), 1415–1432.
20.
Ohi, K. (1991). “Stochastic limit analysis of framed structures.”Proc., 2nd Japanese Conf. on Struct. Safety and Reliability, Japan Society of Civil Engineers, Tokyo, Japan, 675–678 (in Japanese).
21.
Ono, T., Idota, H., and Dozuka, A. (1990). “Reliability evaluation of structural systems using higher-order moment standardization technique.”J. Struct. Constr. Engrg., Tokyo, Japan, No. 418, 71–79 (in Japanese).
22.
Ono, T., Zhao, Y. G., and Yoshihara, K. (1997). “Probabilistic evaluation of COF of frame structures using stochastic limit analysis.”J. Struct. Engrg., Tokyo, Japan, 43B, 301–308 (in Japanese).
23.
Rajashekhar, M. R., and Ellingwood, B. R.(1993). “A new look at the response surface approach for reliability analysis.”Struct. Safety, 12, 205–220.
24.
Schueller, G. I., and Stix, R.(1987). “A critical appraisal of methods to determine failure probabilities.”Struct. Safety, 4, 293–309.
25.
Thoft-Christensen, P., and Murotsu, Y. (1986). Application of structural systems reliability theory. Springer, Berlin, Germany.
26.
Wong, F. S.(1984). “Uncertainties in dynamic soil-structure interaction.”J. Engrg. Mech., ASCE, 110(2), 308–324.
27.
Wong, F. S.(1985). “Slope reliability and response surface method.”J. Geotech. Engrg., ASCE, 111(1), 32–53.
28.
Xiao, Q., and Mahadeven, S. (1994). “Fast faiure mode identification for ductile structural system reliability.”Struct. Safety, 13, 207– 226.
29.
Yao, H. J., and Wen, Y. K.(1996). “Response surface method for time-variant reliability analysis.”J. Struct. Engrg., ASCE, 122(2), 193–201.
30.
Zhao, Y. G., and Ono, T. (1997). “An empirical reliability index based on SORM.”Proc. 7th Int. Conf. on Struct. Safety and Reliability, Kyoto, Japan, to be published.
31.
Zimmerman, J. J., Ellis, J. H., and Corotis, R. B.(1993). “Stochastic optimization models for structural reliability analysis.”J. Struct. Engrg., ASCE, 119(1), 223–239.
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Copyright © 1998 American Society of Civil Engineers.
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Published online: Jun 1, 1998
Published in print: Jun 1998
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