Efficient Simulation Method for First Passage Problem of Linear Systems Subjected to Non-Gaussian Excitations

AbstractThis 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 fur...

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Bibliographic Details
Published in:Journal of engineering mechanics 2022-01, Vol.148 (1)
Main Authors: Zhao, Zhao, Lu, Zhao-Hui, Li, Chun-Qing, Zhao, Yan-Gang
Format: Article
Language:English
Subjects:
Computational efficiency
Computing costs
Degrees of freedom
Excitation
Finite element method
Hermite polynomials
Importance sampling
Linear systems
Mathematical models
Simulation
Technical Papers
Time domain analysis
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Summary:AbstractThis 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 10−3 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.
ISSN:0733-9399
1943-7889
DOI:10.1061/(ASCE)EM.1943-7889.0002047