The response of structures with low damping to random loading is generally characterized by significant clumping of the large response peaks. This clumping is known to affect the extreme responses of the structure. In the paper, we shall propose an approximate method to account for this effect on first passage times and extreme values of narrow-band random vibrations, both Gaussian and non-Gaussian. The method is based on the concept of joint crossing rates of a stochastic process. This makes it possible to introduce a correlation structure to the sequence of peak values, allowing the introduction of an approximate estimate of the effect of clumping on large excursions of the underlying narrow-band process. The advantage of the proposed method is that explicit, closed-form expressions for the clumping effect on first passage times and extreme values are obtained. The method is illustrated by application to specific examples.
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November 1999
Research Papers
Extreme Response of Nonlinear Structures With Low Damping Subjected to Stochastic Loading
A. Naess
A. Naess
Department of Structural Engineering, Norwegian University of Science and Technology, R. Birkelands vei 1a, N-7491 Trondheim, Norway
arvidnaess@bygg.ntnu.no
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A. Naess
Department of Structural Engineering, Norwegian University of Science and Technology, R. Birkelands vei 1a, N-7491 Trondheim, Norway
arvidnaess@bygg.ntnu.no
J. Offshore Mech. Arct. Eng. Nov 1999, 121(4): 255-260 (6 pages)
Published Online: November 1, 1999
Article history
Received:
October 1, 1998
Revised:
February 2, 1999
Online:
December 17, 2007
Citation
Naess, A. (November 1, 1999). "Extreme Response of Nonlinear Structures With Low Damping Subjected to Stochastic Loading." ASME. J. Offshore Mech. Arct. Eng. November 1999; 121(4): 255–260. https://doi.org/10.1115/1.2829576
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