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J Engng Fract Mech1996;53(5):789±805.[9] Kaspari DC, Spencer BF Jr., Sain MK. Effects of structuraluncertainties on TMD design: a reliability-based approach.

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Acknowledgements This paper is based upon work supported partly bythe Hong Kong Research Grant Council under grants HKUST 639/95E and 6041/97E, and partly by the Paci®c Earthquake Engineering Research Center under National Science Foundation Cooperative Agreement No. Struct Safety 1987;3±309.[4] Der Kiureghian A, Lin HZ, Hwang SJ. J Engng Mech 1987;113(8):1208±25.[5] Papadimitriou C, Beck JL, Katafygiotis LS.

Asymptotic expansionsfor reliabilities and moments of uncertain dynamic systems.

J Engng Mech, ASCE 1997;123(12):1219±29.[6] Natke HG, Yao JTP, editors.

Struct Safety 1994;15:3±16.[8] Deodatis G, Asada H, Ito S.

Reliability of aircraft structures undernonperiodic inspectionÐa Bayesian approach. Englewood Cliffs, NJ: Prentice Hall, 1996.[11] Field Jr. Probabilistic stabilityrobustness of structural systems. J Engng Mech, ASCE 1996;111(10):1012±21.[12] Ben-Haim Y. Berlin: Springer, 1996.[13] Papadimitriou C, Katafygiotis LS, Au SK.