方法对比
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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 / pipeline | Process / pipeline |
| 起源年份≠ | 1969 | 1951 |
| 提出者≠ | Allin Cornell | George Box and Kenneth Wilson |
| 类型≠ | Reliability analysis method | Optimization 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 method | RSM, Desirability function, Multi-response optimization |
| 相关 | 4 | 4 |
| 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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