方法对比
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| Griffith断裂力学× | 模态分析× | |
|---|---|---|
| 领域 | 制造工程 | 制造工程 |
| 方法族 | Process / pipeline | Process / pipeline |
| 起源年份≠ | 1921 | 1975 |
| 提出者≠ | Alan A. Griffith | Clough, R. W., Penzien, J. |
| 类型≠ | Theoretical model for brittle fracture and crack propagation | Computational method for structural dynamics |
| 开创性文献≠ | Griffith, A. A. (1921). The phenomena of rupture and flow in solids. Philosophical Transactions of the Royal Society A, 221, 163-198. link ↗ | Clough, R. W., & Penzien, J. (1975). Dynamics of Structures. McGraw-Hill. ISBN: 0-07-011394-7 |
| 别名 | Brittle fracture theory, Energy release rate, Linear elastic fracture mechanics | Eigenvalue analysis, Frequency response analysis, Natural frequencies |
| 相关 | 4 | 4 |
| 摘要≠ | Griffith's theory of brittle fracture explains how small flaws or cracks in materials grow unstably, leading to sudden catastrophic failure. Formulated by Alan A. Griffith in 1921 through experiments on glass fibers, this theory balances the elastic energy released by crack growth against the surface energy required to create new material surfaces. It predicts that materials fail at stresses far below their theoretical strength due to the stress concentration around pre-existing flaws. | Modal analysis is a computational and experimental method for determining the natural frequencies and associated mode shapes of a mechanical structure. By decomposing structural vibration into its fundamental modes (natural oscillation patterns), engineers can predict resonance frequencies, assess dynamic response to external forces, and design structures to avoid problematic vibrations. Developed rigorously by Clough and Penzien in their foundational work on structural dynamics, modal analysis is essential for designing robust mechanical systems. |
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