Reliability of Nonlinear Structural Frame under Seismic Excitation
Publication: Journal of Engineering Mechanics
Volume 124, Issue 8
Abstract
Nonlinear deformations can occur when a structural frame is subjected to strong earthquake excitations, and they occur most frequently at the column-footing and/or column-beam junctions. A procedure is developed herein to analyze such a deformation and to obtain the probability of failure when it exceeds a prescribed critical limit. The problem is simplified by using two analytical principles, the slaving principle in synergetics and the quasi-conservative averaging principle in random vibration. Examples are given for illustration, in which the strong earthquake is modeled as a random pulse train, and numerical results are obtained using the method of path integration.
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References
1.
Cai, G. Q.(1995). “Random vibration of nonlinear systems under nonwhite excitations.”J. Engrg. Mech., ASCE, 121(5), 633–639.
2.
Cai, G. Q., and Lin, Y. K. (1996). “Reliability of hysteretic structures under earthquake excitation.”Proc., 11th World Conf. on Earthquake Engrg., Paper No. 836.
3.
Faravelli, L.(1989). “Response surface approach for reliability analysis.”J. Engrg. Mech., ASCE, 115(12), 2763–2781.
4.
Haken, H. (1983). Synergetics, an introduction. Springer-Verlag KG, Berlin, Germany.
5.
Lin, Y. K.(1986). “On random pulse train and its evolutionary spectral representation.”Probabilistic Engrg. Mech., England, 1(4), 219–223.
6.
Lin, Y. K., and Shih, T. Y.(1980). “Column response to horizontal vertical earthquakes.”J. Engrg. Mech. Div., ASCE, 106(6), 1099–1109.
7.
Lin, Y. K., and Yong, Y.(1987). “Evolutionary Kanai-Tajimi earthquake models.”J. Engrg. Mech., ASCE, 113(8), 1119–1137.
8.
Naess, A., and Johnson, J. M.(1993). “Response statistics of nonlinear, compliant offshore structure by the path integral solution method.”Probabilistic Engrg. Mech., 8, 91–106.
9.
Pradlwater, H. J., and Schuëller, G. I.(1997). “On advanced Monte Carlo simulation procedures in stochastic structural dynamics.”Int. J. Non-Linear Mech., 32, 735–744.
10.
Pradlwater, H. J., Schuëller, G. I., and Melnik-Melnikov, P. G. (1994). “Reliability of MDOF-systems.”Probabilistic Engrg. Mech., 9, 234– 243.
11.
Shinozuka, M.(1972). “Monte Carlo solution of structural dynamics.”Int. J. Comput and Struct., 2, 855–874.
12.
Wehner, M. F., and Wolfer, W. G.(1983). “Numerical evaluation of path-integral solution to Fokker-Planck equations.”Phys. Rev. A, 27(5), 2663–2670.
13.
Yu, J. S., Cai, G. Q., and Lin, Y. K.(1997). “ A new path integration procedure based on Gauss-Legendre scheme.”Int. J. Non-Linear Mech., 32(4), 759–768.
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Copyright © 1998 American Society of Civil Engineers.
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Published online: Aug 1, 1998
Published in print: Aug 1998
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