方法对比

	混合可靠性分析	一阶可靠性方法 (FORM)
领域	实验设计	可靠性工程
方法族	Process / pipeline	Process / pipeline
起源年份	1990s–2000s (consolidated formulation ~2000–2006)	1969
提出者	Xiaoping Du, Achintya Haldar, and others; synthesized across structural and mechanical engineering communities	Allin Cornell
类型	Quantitative reliability / uncertainty analysis method	Reliability analysis method
开创性文献	Du, X., Sudjianto, A., & Huang, B. (2006). Reliability-Based Design With the Mixture of Random and Interval Variables. Journal of Mechanical Design, 127(6), 1068–1076.	Cornell, C. A. (1969). A probability-based structural code. Journal of the American Concrete Institute, 66(12), 974-985.
别名	HRA, hybrid uncertainty reliability, combined reliability analysis, probabilistic-possibilistic reliability analysis	FORM, First-order second-moment method
相关	4	4
摘要	Hybrid Reliability Analysis (HRA) quantifies the probability that an engineering system will perform its intended function when uncertain inputs are of two fundamentally different kinds: aleatory uncertainties (natural randomness, modelled with probability distributions) and epistemic uncertainties (lack of knowledge, modelled with intervals or fuzzy sets). By treating both uncertainty types simultaneously rather than collapsing them into a single probabilistic framework, HRA produces more truthful reliability estimates in design, structural, and systems engineering problems.	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.