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结构随机动力激励的物理模型:以脉动风速为例

PHYSICAL MODELS FOR THE STOCHASTIC DYNAMIC EXCITATIONS OF STRUCTURES:IN THE CASE OF FLUCTUATING WIND SPEED

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【作者】 李杰阎启

【Author】 LI Jie1,2,YAN Qi1 (1.Department of Building Engineering,Tongji University,Shanghai 200092,China;2.State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China)

【机构】 同济大学建筑工程系同济大学土木工程防灾国家重点实验室

【摘要】 以脉动风速为背景,展示了基于物理建立结构动力激励模型的基本思想与具体路线。根据经典湍流理论,阐述了均匀剪切湍流中的惯性子区和剪切子区所服从的物理规律,并根据物理随机系统的基本思想,建立了形式十分简单的标准化随机Fourier波数谱模型。应用概率密度演化方法,得到了剪切子区与惯性子区分界位置lc的概率分布,统计给出了基本随机变量地面粗糙度z0和标准高度10min平均风速(h)的概率分布。研究表明:基于物理的随机Fourier波数谱理论预测结果与实测Fourier波数谱的均值曲线符合良好,可望为结构抗风设计与可靠度评价提供较为合理的动力输入模型。

【Abstract】 Taking fluctuating wind speed as example,this paper displays the basic method of modeling the structural dynamic excitation based on physical process.According to classic turbulence theory,the physical laws of inertial sub-range and shear sub-range in homogeneous shear turbulence are described.Along with the basic idea of physical stochastic system,a normalized stochastic Fourier wave-number model with simple format is established.The probability distribution of the boundary position of the shear sub-range and inertial sub-range is obtained by the Probability Density Evolution Method(PDEM) and the probability distribution of the basic variables including ground roughness z 0 and 10-min mean wind speed (h) are also obtained.The research shows that the mean spectrum of the theoretical prediction based on the physical process corresponds with the measured Fourier mean wave-number spectrum well.The model proposed here is expected to provide a reasonable excitation model for wind-resistant design and reliability analysis of structures.

【基金】 国家自然科学基金创新群体项目(50621062)
  • 【文献出处】 工程力学 ,Engineering Mechanics , 编辑部邮箱 ,2009年S2期
  • 【分类号】TU311.3
  • 【被引频次】7
  • 【下载频次】273
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