考虑二阶振型的矩形高层建筑横风向风振响应简化计算  

Simplified formulas for evaluation of cross-wind induced dynamic responses of rectangular high-rise buildings considering the second mode

作　　者：邹垚[1] 梁枢果[1] 彭德喜[1,2] 邹良浩[1] 

机构地区：[1]武汉大学土木建筑工程学院,湖北武汉430072 [2]广东珠海金湾发电有限公司,广东珠海519050

出　　处：《建筑结构学报》2011年第4期39-45,共7页Journal of Building Structures

基　　金：国家自然科学基金项目(90715023)

摘　　要：随着高层建筑高度的增加和自振频率的降低,二阶振型对高层建筑风振响应的贡献增大。通过大量算例分析了二阶振型对高层建筑横风向风振响应的贡献,计算结果表明,二阶振型对超高层建筑横风向动力位移响应的贡献较小,但是对高层建筑横风向加速度响应的贡献不容忽视,在对超高层建筑抗风舒适度评估时,应该考虑二阶振型的贡献。在此基础上,基于风洞试验数据和随机振动理论,建立了考虑二阶振型贡献的矩形高层建筑横风向风振响应简化计算式。将提出的简化式计算结果与积分计算结果比较,其误差在5%以内,证明了该计算式具有较高的精度。With the height of highrise buildings increasing,the natural periods of the lower modes become longer,and the contribution of the second mode to wind-induced dynamic responses of the buildings increases.The contribution of the second mode was analyzed through a large number of illustrative examples.The calculated results indicate that the contribution of the second mode to the dynamic displacements of high-rise buildings in across-wind direction is rather small.However,its contribution to the acceleration of super-highrise buildings in across-wind direction can not be neglected.Therefore,the contribution of the second mode should be considered when the comfort analysis of wind-resistant super-highrise buildings is conducted.In addition,based on wind tunnel test data and random vibration theory,simplified empirical formulas for the evaluation of across-wind induced dynamic responses of rectangular tall buildings,were derived with the consideration of the second mode contribution.The comparison between the results estimated by the formulas and those obtained by complex integral calculations show that the errors between them are basically within 5% for all cases.Thus the formulas proposed in this paper are very acurate.

关 键 词：矩形高层建筑 横风向动力响应 二阶振型 简化计算式 

分 类 号：TU973[建筑科学—结构工程] TU311.3