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一阶可靠性方法 (FORM)×基于期望函数优化的响应曲面法×
领域可靠性工程可靠性工程
方法族Process / pipelineProcess / pipeline
起源年份19691951
提出者Allin CornellGeorge Box and Kenneth Wilson
类型Reliability analysis methodOptimization methodology
开创性文献Cornell, C. A. (1969). A probability-based structural code. Journal of the American Concrete Institute, 66(12), 974-985. DOI ↗Box, G. E. P., & Wilson, K. B. (1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society, 13(1), 1-45. DOI ↗
别名FORM, First-order second-moment methodRSM, Desirability function, Multi-response optimization
相关44
摘要The First-Order Reliability Method (FORM) is a probabilistic technique for estimating the probability of structural failure given uncertain input parameters. Developed by Allin Cornell in 1969 and refined by Hasofer and Lind in 1974, FORM provides a computationally efficient approximation to the true failure probability by linearizing the limit-state function at the most probable failure point. It has become the cornerstone of modern structural reliability analysis and risk-based design.Response Surface Methodology (RSM) is a set of statistical and mathematical techniques for modeling and optimizing processes with multiple inputs (factors) and outputs (responses). The Desirability Function approach, introduced by Harrington (1965) and refined by Derringer and Suich (1980), extends RSM to solve multi-response optimization problems by combining competing objectives into a single index. This methodology is essential in product and process development where engineers must balance performance, cost, and reliability.
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ScholarGate方法对比: First-Order Reliability Method · Response Surface Desirability Function. 于 2026-06-15 检索自 https://scholargate.app/zh/compare