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| 基于能量指标和皮尔逊系数的高拱坝非线性安全度确定方法及其应用 |
| Determination and application of the nonlinear safety factor of high arch dams based on energy index and Pearson coefficient |
| 投稿时间：2025-03-30 修订日期：2025-08-15 |
| DOI： |
| 中文关键词: 非线性安全度 塑性余能范数 皮尔逊相关系数 工程类比 高拱坝 |
| 英文关键词: Nonlinear safety factor Plastic complementary energy Pearson coefficient Multi-project analogies Arch Dam |
| 基金项目:国家自然科学基金资助项目(41961134032) |
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| 中文摘要: |
| 高拱坝是多次超静定结构，高拱坝的非线性安全度表示由整体弹性工作状况向非线性工作状况转变的超载安全度，对拱坝安全评估十分重要。结合地质力学模型试验与非线性数值分析，分析了拱坝在超载过程中的破坏演化特征，阐释了非线性安全度的物理内涵及其判别意义。拱坝整体非线性状态本质上是超出屈服状态一定程度后，结构整体加速开裂破坏和能量快速耗散的一种行为。基于多拱坝工程超载过程中塑性余能范数的变化，提出了一种基于皮尔逊相关系数的非线性安全度确定方法。塑性余能范数可以有效表征岩体结构开裂破坏过程中的能量耗散，皮尔逊相关系数则可表示塑性余能范数与超载倍数之间的线性相关程度。结合六个工程类比将非线性安全度Kn所对应的皮尔逊系数标准rw确定为0.90，据此得到东庄拱坝非线性安全度为6.54。最后探讨了能量指标的可替代性和长期蓄水的折减效应对非线性安全度的影响。 |
| 英文摘要: |
| High arch dams are complex statically indeterminate structures, and the nonlinear safety factor of high arch dams represents the extent of overload safety factor as the structural state transitions from overall elastic behavior to a nonlinear working condition. This factor is crucial for the safety assessment of arch dams. By integrating geomechanical model tests with nonlinear numerical analyses, this study investigates the failure evolution characteristics of arch dams under overload conditions and elucidates the physical implications and diagnostic significance of the nonlinear safety factor. The overall nonlinear state of an arch dam is essentially characterized by accelerated cracking damage and rapid energy dissipation occurring after the yield state is exceeded by a certain threshold. By analyzing the variation of the plastic complementary energy (PCE) during the overloading process of multi-arch dam projects, a nonlinear safety determination method based on Pearson coefficient is proposed. The plastic residual energy paradigm effectively quantifies energy dissipation during crack formation and damage progression in rock structures, while the the Pearson coefficient indicates the linear correlation between the plastic residual energy paradigm and the overload multiplier. Considering six engineering analogies, the Pearson coefficient criterion rw corresponding to the nonlinear safety factor Kn is determined as 0.90. Accordingly, the nonlinear safety factor of Dongzhuang Arch Dam is calculated to be 6.54. Furthermore, the substitutability of energy index, and the discount effect of long-term water storage on the nonlinear safety factor are investigated. |
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