Global Maximum Response of Linear Systems with Uncertain Damping to Irregular Excitation
Publication: Journal of Engineering Mechanics
Volume 146, Issue 6
Abstract
In the evaluation of the global maximum response of a structure subjected to its design load, damping effects must be included; however, the structure damping is often uncertain. This study develops an efficient method to compute the probability density function (PDF) of the global maximum dynamic response for multi-degree-of-freedom (MDOF) linear systems with uncertain damping when the external excitation is highly irregular. Operated in the complex plane, the proposed method is a pole-residue method that formulates a closed-form solution for the uncertain response at any instant time in terms of the poles and residues of the excitations and those of the system. While the poles and residues of an irregular excitation are deterministic quantities, those of the system are treated as random variables. In the numerical studies, a 100-story shear building subjected to a realistic ground motion is demonstrated, and the correctness of the proposed method is verified by Monte Carlo simulations.
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Data Availability Statement
The following items are available from the corresponding author by request:
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Codes of computing the deterministic dynamic response;
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Codes of computing the probability density function of the global maximum dynamic response; and
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Data of the numerical studies.
Acknowledgments
The research was financially supported by the National Natural Science Foundation of China (Grant No. 51879250).
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 6 • June 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Sep 10, 2019
Accepted: Dec 16, 2019
Published online: Mar 27, 2020
Published in print: Jun 1, 2020
Discussion open until: Aug 27, 2020
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