Extreme Response of Nonlinear Structures With Low Damping Subjected to Stochastic Loading

[+] Author and Article Information
A. Naess

Department of Structural Engineering, Norwegian University of Science and Technology, R. Birkelands vei 1a, N-7491 Trondheim, Norway

J. Offshore Mech. Arct. Eng 121(4), 255-260 (Nov 01, 1999) (6 pages) doi:10.1115/1.2829576 History: Received October 01, 1998; Revised February 02, 1999; Online December 17, 2007


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.

Copyright © 1999 by The American Society of Mechanical Engineers
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