方法对比
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| 二阶可靠度方法 (SORM)× | 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≠ | 1979 | 1951 |
| 提出者≠ | Bernd Fiessler | George Box and Kenneth Wilson |
| 类型≠ | Reliability analysis method | Optimization methodology |
| 开创性文献≠ | Fiessler, B., Neumann, H. J., & Rackwitz, R. (1979). Quadratic limit states in structural reliability. Journal of the Engineering Mechanics Division, 105(4), 661-676. 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≠ | SORM, Second-order approximation | RSM, Desirability function, Multi-response optimization |
| 相关 | 4 | 4 |
| 摘要≠ | The Second-Order Reliability Method (SORM) is an extension of FORM that improves failure probability estimates by accounting for the curvature of the limit-state surface at the design point. Introduced by Fiessler, Neumann, and Rackwitz in 1979, SORM provides more accurate approximations for nonlinear failure surfaces while remaining computationally efficient. It has become the standard refinement when FORM accuracy is insufficient. | 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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