考虑风速—风向联合分布的直立锁边金属屋面风致疲劳损伤评估

Wind-induced fatigue damage assessment of standing seam metal roofs considering joint distribution of wind speed and wind direction

  • 摘要: 为解决直立锁边金属屋面系统( standing seam metal roof systems, SSMRSs)的屋面风致疲劳评估中忽略风向联合概率特征、传统参数化风场模型拟合精度不足的问题,本文提出了一种融合非参数风场统计建模的SSMRSs风致疲劳评估全流程计算方法,并以我国中南地区某市体育场工程为例,基于当地气象站45年实测数据,利用高斯核密度估计( Gaussian kernel density estimation, GS-KDE)与Beta核函数非参数Copula模型,构建了高精度的风速—风向联合概率密度函数( joint probability density function, JPDF),实现了风速、风向局部波动的高精度拟合。在此基础上,结合刚性模型测压风洞试验、足尺寸静态抗风揭试验与有限元模拟,实现了从随机风荷载输入到结构应力响应的精准映射,并基于雨流计数法量化了屋面50年设计期内的累积疲劳损伤。结果表明:考虑风速—风向JPDF时,屋面最大累积损伤为0.637;而沿用最不利风向的简化方法所得损伤值高达3.784,比考虑风速—风向JPDF高估了约6倍。研究证实,准确引入风场的风向联合概率特性是进行SSMRSs疲劳评估的必要前提,本文的全流程计算方法有效规避了传统简化方法造成的疲劳损伤高估及分布偏移,可为同类大跨屋面风致疲劳评估提供参考。

     

    Abstract: To address the issues of neglecting joint probability characteristics of wind direction and insufficient fitting accuracy of traditional parametric wind field models in wind-induced fatigue assessment of standing seam metal roof systems (SSMRSs), this study proposes a full-process computational framework for SSMRS fatigue evaluation that incorporates nonparametric wind field statistical modeling. Taking a stadium project as a case study, the framework utilizes 45-year measured data from a meteorological station and employs Gaussian kernel density estimation (GS-KDE) combined with a Beta-kernel nonparametric Copula model to construct a high-precision joint probability density function (JPDF) of wind speed and direction. This approach achieves accurate fitting of local fluctuations in both wind speed and direction. On this basis, rigid-model pressure wind tunnel tests, full-scale static wind uplift resistance tests, and finite element simulations are integrated to establish a precise mapping from stochastic wind load input to structural stress response. Cumulative fatigue damage over a 50-year design service life is quantified using the rainflow counting method. Results indicate that when the wind speed-direction JPDF is considered, the maximum cumulative damage of the roof is 0.637. In contrast, the simplified method that adopts the most unfavorable wind direction yields a damage value of 3.784, which overestimates the fatigue damage by approximately six times compared with the JPDF-based result. It is confirmed that accurately incorporating the joint probability characteristics of wind direction is a prerequisite for reliable fatigue assessment of SSMRSs. The proposed full-process computational method effectively avoids the overestimation and distributional deviation of fatigue damage caused by traditional simplified approaches, and can serve as a reference for wind-induced fatigue evaluation of similar large-span roofing structures.

     

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