Mechanical Sciences
Mechanical Sciences
Mechanical Sciences
Articles | Volume 14, issue 2
Articles | Volume 14, issue 2
https://doi.org/10.5194/ms-14-439-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/ms-14-439-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 14, issue 2
Research article
 | 
19 Oct 2023
Research article |  | 19 Oct 2023

Modified control variates method based on second-order saddle-point approximation for practical reliability analysis

Xinong En, Yimin Zhang, and Xianzhen Huang

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Short summary
A novel method is presented for efficiently analyzing the reliability of engineering components and systems with highly nonlinear complex limit state functions. To demonstrate the effectiveness of the proposed method, four examples involving mathematical functions and mechanical problems are solved. The findings demonstrate that while maintaining high-precision reliability results, the proposed method significantly reduces the number of evaluations of the limit state function.
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