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<p>In structural reliability analysis, oscillation has a significant impact on the efficiency and robustness of the iterative process. The application of traditional reliability calculations, which fails to account for oscillations in the iterative process, may lead to the generation of unstable and inaccurate results. It first clarifies the mechanism of oscillation judgment based on the limit state function decline, then a new oscillation judgment factor for detecting iterative quality has been proposed by former iterative information, which can accurately and promptly determine the quality of the current iteration. Subsequently, the control conditions for step size intervention are proposed according to the oscillation judgment factor. After that, an adaptive control strategy of optimal step size is constructed to facilitate the adaptive step size adjustment of iterative computation. The exceptional performance in efficiency and robustness of the proposed method is confirmed by nine examples. The parameters involved are also discussed, the most suitable values are suggested.</p>

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A novel self-adaptive method based on oscillation judgment factor for robust and efficient structural reliability analysis

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • Yu Xia,
  • Dong Liu,
  • Yingye Yu,
  • Yubin Huang,
  • Xiaoyun Yang,
  • Jingmin Liu

摘要

In structural reliability analysis, oscillation has a significant impact on the efficiency and robustness of the iterative process. The application of traditional reliability calculations, which fails to account for oscillations in the iterative process, may lead to the generation of unstable and inaccurate results. It first clarifies the mechanism of oscillation judgment based on the limit state function decline, then a new oscillation judgment factor for detecting iterative quality has been proposed by former iterative information, which can accurately and promptly determine the quality of the current iteration. Subsequently, the control conditions for step size intervention are proposed according to the oscillation judgment factor. After that, an adaptive control strategy of optimal step size is constructed to facilitate the adaptive step size adjustment of iterative computation. The exceptional performance in efficiency and robustness of the proposed method is confirmed by nine examples. The parameters involved are also discussed, the most suitable values are suggested.