基于随机有限元法的海上风电单桩基础水平受荷响应及敏感性分析

    Horizontal Bearing Response and Sensitivity Analysis of Offshore Wind Turbine Monopile Foundation Based on Stochastic Finite Element Method

    • 摘要: 针对海上风电单桩基础在水平荷载作用下的承载性能评价过程中不确定性问题,本文构建了考虑土体不排水抗剪强度空间变异性的二维随机有限元模型,采用Karhunen-Loève展开结合高斯型自相关函数生成随机场,并通过蒙特卡洛模拟实现结构响应的概率分析。在建立合理工况组合的基础上,系统评估了变异系数(COV)与相关距离对水平极限荷载、桩身弯矩及剪力响应的影响规律。结果表明:变异系数是控制桩基响应离散性的主控因素,随着变异系数增大,极限承载力的离散性显著增强;在高变异系数条件下,其均值表现出下降趋势,且响应极值区间明显扩大;相关距离的增加对响应均值影响较小,但会显著放大响应的波动性与标准差。此外,桩身剪力对土体空间变异性的敏感度显著高于桩身弯矩,在高变异条件下,剪力均值略高于确定性分析结果,且离散度急剧增加。研究揭示了传统确定性分析在评估复杂地质条件下可能低估结构剪力失效风险,该方法可为海上风电基础的可靠性设计提供理论依据。

       

      Abstract: To address the uncertainty in evaluating the lateral bearing performance of offshore wind turbine monopile foundations, a two-dimensional random finite element model considering the spatial variability of soil undrained shear strength was developed in this study. The random field was generated using the Karhunen-Loève expansion combined with a Gaussian autocorrelation function, and the probabilistic responses of the monopile foundation were obtained through Monte Carlo simulation. Based on a series of representative loading cases, the effects of the coefficient of variation (COV) and correlation length on the ultimate lateral capacity, pile bending moment, and shear force were systematically investigated. The results show that COV is the dominant factor governing the dispersion of pile responses. As COV increases, the uncertainty of the ultimate lateral capacity becomes significantly more pronounced; under high-COV conditions, its mean value tends to decrease, while the range of extreme responses expands markedly. In contrast, the correlation length has little influence on the mean response, but significantly amplifies the fluctuations and standard deviation of structural responses. Moreover, pile shear force is found to be more sensitive to soil spatial variability than pile bending moment. Under highly variable conditions, the mean shear force is slightly higher than that predicted by deterministic analysis, accompanied by a substantial increase in dispersion. These findings indicate that conventional deterministic analysis may underestimate the risk associated with shear response under complex geological conditions. The proposed approach provides a useful theoretical basis for the reliability-based design of offshore wind turbine monopile foundations.

       

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