土木工程学报  2017, Vol. 50 Issue (10): 69-74    
  桥梁工程 本期目录 | 过刊浏览 | 高级检索 |
斜拉桥拉索风雨激振参数联合概率分布模型
王修勇  蒋乾超  孙洪鑫  禹见达
湖南科技大学, 湖南湘潭 411201
Joint probability distribution model of wind-rain-induced vibration parameters of stay cables on cable-stayed bridges
Wang Xiuyong    Jiang Qianchao    Sun Hongxin    Yu Jianda#br#
Hunan University of Science and Technology, Xiangtan 411201, China
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摘要 为了研究拉索风雨激振特征,在洞庭湖大桥建立了现场观测系统并开展了长期观测,得到了拉索风雨激振主要影响参数——风速、雨量、风向的一维边缘分布模型。采用Archimedean Copula函数建立了风速-雨量、风速-风向、雨量-风向的二维联合概率分布模型,及风速、风向和雨量三维联合分布模型,根据拟合优度评价指标确定了各联合概率分布的分布函数和参数值。综合风雨激振发生的风速、雨量、风向的一维边缘分布、二维联合分布及三维联合分布,得到了风雨激振发生的三维联合不超越概率和三维联合超越概率模型。该模型可以计算三维超越/不超越联合概率、联合条件概率以及不同组合条件下的概率密度,评价各种风、雨条件下拉索风雨激振的发生概率。
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王修勇 蒋乾超 孙洪鑫 禹见达
关键词 斜拉桥 拉索 风雨激振 联合分布模型 Archimedean Copula函数    
Abstract:In order to investigate the vibration characteristics of the wind-rain-induced vibration of stay cables, a long-term monitoring system was installed on the Dongting Lake cable-stayed bridge, by which the main influence parameters of wind-rain-induced vibration include wind velocity, wind direction and rainfall, and their one-dimensional marginal distribution models were obtained. Two-dimensional joint probability distribution model of wind velocity and wind direction, wind velocity and rainfall, wind direction and rainfall, and three-dimensional joint distribution model of wind velocity, wind direction and rainfall were built by the Archimedean copulas function. The fittest distribution and model parameters of the joint probability distribution function were determined according to the goodness of fit index. The three dimensional joint non exceedance probability model and the three dimensional joint exceedance probability model were proposed base on the one-dimensional joint distribution, two-dimensional joint distribution and three-dimensional joint distribution. With the proposed model, the three dimensional joint exceedance probability, non-exceedance, joint conditional probability and the probability density under different combination of wind and rain can be calculated. The occurring probability of wind-rain-induced vibration under the various conditions of wind and rain can be also evaluated.
Key wordscable-stayed bridge    stay cable    wind-rain-induced vibration    joint probability distribution model    Archimedean Copula function
    
引用本文:   
王修勇 蒋乾超 孙洪鑫 禹见达. 斜拉桥拉索风雨激振参数联合概率分布模型[J]. 土木工程学报, 2017, 50(10): 69-74.
Wang Xiuyong Jiang Qianchao Sun Hongxin Yu Jianda. Joint probability distribution model of wind-rain-induced vibration parameters of stay cables on cable-stayed bridges. 土木工程学报, 2017, 50(10): 69-74.
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