高层建筑横风向湍流脉动风压动力反应计算  

Evaluation of Dynamic Response induced by Turbulence in Across Wind Direction on High Rise Buildings

作　　者：葛楠[1] 侯爱波[2] 周锡元[1] 

机构地区：[1]中国建筑科学研究院,北京100013 [2]北京工业大学,北京100022

出　　处：《应用力学学报》2008年第2期218-223,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金项目(50078003)

摘　　要：根据湍流脉动压力的产生机理,从湍流理论的基本方程出发,根据Taylor关于湍流的"冻结"假定,导出了湍流脉动风压谱密度函数的解析计算公式。在分析过程中考虑了压力方程源项中全部"紊动—剪切"项的影响。若取用合适的湍流积分尺度,则由此公式得出的横风向脉动风压谱密度函数值与足尺观测数据相吻合,因此对以前的研究成果有一定的改进。由于在接近结构第一阶自振频率时,谱函数值仍处于较高的水平,因此根据湍流脉动风压谱密度函数计算得出的结构横风向风振动力反应位移值与加速度值均高于由日本规范等公式中规定的漩涡脱落扰力引起的反应值,而且推测随结构高度的增加这一影响也有增加的趋势。建议对此问题进行更深入的研究并在高层建筑结构设计时考虑这一差别的影响。Based on the occurrence mechanism of pressure fluctuation and Taylor assumption in turbulence, an analytical solution of spectral density function of pressure fluctuation in across-wind direction is derived from the of flow movement equation. In the process, all the turbulence-mean components in the source term of pressure governing equation are taken into account. If the appropriate turbulence integral scales are adopted, the spectrum density function value coincides well to the results from full scale measurements. This solution might be an improvement to the researches. The spectral density function gets still high near the 1st natural frequency of the structure, both the displacement response and the acceleration response evaluated with this kind of fluctuating pressure load are larger than those from Japanese building code etc. This influence might be enlarged with the increasing of the building. It is suggested that in a detailed study the difference between these two kinds of dynamic responses ought to be taken into account in the design work of high-rise buildings.

关 键 词：对流速度 雷诺数 谱密度函数 湍流 富氏变换 流速梯度 

分 类 号：TU973.213[建筑科学—结构工程]