Efficient Simulation Method for First Passage Problem of Linear Systems Subjected to Non-Gaussian Excitations
Publication: Journal of Engineering Mechanics
Volume 148, Issue 1
Abstract
This paper addresses the first passage problem of linear systems subjected to non-Gaussian excitations by means of simulation. A non-Gaussian simulation technique based on the unified Hermite polynomial model (UHPM) is adopted to model input excitations, and then the output responses are further obtained through time-domain analysis. The novel contribution of this paper is to construct an efficient importance sampling (IS) density function based on UHPM and the first-order reliability method (FORM) to release the computational burden. A simple and efficient sampling procedure is also provided for convenient implementation. Such an approach allows the failure probabilities in the order of or lower to be estimated reliably with a reduced computational cost. The accuracy and efficiency of the proposed method are demonstrated by three examples, including a single-degree-of-freedom oscillator, a 3-story linear shear frame, and a relatively large-scale finite-element model.
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Data Availability Statement
All data, models, and codes that support the findings of this study are available from the corresponding author upon reasonable request, including computer codes of all the numerical examples.
Acknowledgments
The study is partially supported by the National Natural Science Foundation of China (Grant Nos. 51820105014, 51738001, and U1934217), China Scholarship Council (Grant No. 202006370005), the 111 Project (Grant No. D21001), and Science and Technology Research and Development Program Project of China Railway Group Limited (Major Special Project No. 2020-Special-02). All of the sources of support are gratefully acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 148 • Issue 1 • January 2022
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© 2021 American Society of Civil Engineers.
History
Received: Mar 22, 2021
Accepted: Sep 18, 2021
Published online: Oct 28, 2021
Published in print: Jan 1, 2022
Discussion open until: Mar 28, 2022
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