Efficient optimization-based method for simultaneous calibration of load and resistance factors considering multiple target reliability indices

IF 3 3区 工程技术 Q2 ENGINEERING, MECHANICAL
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引用次数: 0

Abstract

This study introduces an innovative optimization process for calibrating probabilistic load and resistance factors (LRFs) in limit state designs, effectively accommodating multiple target reliability indices. Given the impracticality of direct Monte Carlo simulations (MCS) for this task, a response surface method (RSM) is proposed to approximate load and resistance components separately rather than fitting conventional safety factors. This approach eliminates the need for additional implicit evaluations, thereby improving the efficiency of LRF calibration across multiple targets. The process is further enhanced by an adaptive boundary algorithm that updates search domains in real-time, streamlining the optimization. Validation through three examples—including one explicit and two implicit performance functions (a structural and a geotechnical example)—demonstrates that the method achieves accurate results with fewer iterations by dynamically narrowing search domains. Specifically, the accuracy of the proposed method is confirmed by comparing results with those from the literature for the explicit example and with basic MCS results applied to the initial implicit problems. Performance on the illustrative examples shows that the structural example achieves calibration for three targets within ten iterations. Additionally, this method eliminates the need for approximately ten thousand implicit evaluations when calculating limit state points for the geotechnical example.
基于优化的高效方法,可同时校准考虑多个目标可靠性指数的载荷系数和阻力系数
本研究介绍了一种创新的优化流程,用于校准极限状态设计中的概率荷载和阻力系数(LRFs),可有效适应多个目标可靠性指数。鉴于直接进行蒙特卡罗模拟 (MCS) 不切实际,本研究提出了一种响应面法 (RSM),用于分别近似载荷和阻力分量,而不是拟合传统的安全系数。这种方法无需进行额外的隐式评估,从而提高了多个目标的 LRF 校准效率。自适应边界算法可实时更新搜索域,简化优化过程,从而进一步增强了这一过程。通过三个示例(包括一个显式和两个隐式性能函数(一个结构示例和一个岩土示例))进行的验证表明,该方法通过动态缩小搜索域,以较少的迭代次数获得了精确的结果。具体来说,通过与文献中的显式示例结果以及应用于初始隐式问题的基本 MCS 结果进行比较,证实了所建议方法的准确性。示例的性能表明,结构示例在十次迭代内实现了三个目标的校准。此外,在计算岩土工程实例的极限状态点时,该方法无需进行约一万次隐式评估。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Probabilistic Engineering Mechanics
Probabilistic Engineering Mechanics 工程技术-工程:机械
CiteScore
3.80
自引率
15.40%
发文量
98
审稿时长
13.5 months
期刊介绍: This journal provides a forum for scholarly work dealing primarily with probabilistic and statistical approaches to contemporary solid/structural and fluid mechanics problems encountered in diverse technical disciplines such as aerospace, civil, marine, mechanical, and nuclear engineering. The journal aims to maintain a healthy balance between general solution techniques and problem-specific results, encouraging a fruitful exchange of ideas among disparate engineering specialities.
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