（湖南大学土木工程学院，长沙 410082）

［摘要］为了完善结构基本自振周期的估算公式和简化高层及超高层建筑的高阶自振周期值的求解过程，收集了近年来我国高层及超高层建筑自振周期理论计算数据、振动台试验数据和风脉动结构振动实测数据。通过对计算数据和各种试验数据进行拟合、对比，得到了基本周期估算的推荐公式。同时，基于上述数据，讨论了建筑高度、地震作用、结构类型对第二阶、第三阶自振周期与基本振型周期比值的影响，得到了第二阶、第三阶自振周期与基本周期比值的统计结果。

［关键词］高层及超高层建筑； 基本自振周期； 高阶自振周期； 估算公式

中图分类号：TU973文献标识码：A文章编号：1002-848X(2018)03-0085-05

Statistical analysis of natural vibration period of high-rise and super high-rise concrete and steel-reinforced concrete mixed structures in China

Wang Zhihui, Yi Weijian, Wang Mengfu

(College of Civil Engineering, Hunan University, Changsha 410082, China)

Abstract:In order to improve the estimation formula for the fundamental natural vibration period and simplify the solving process of high-order natural vibration period of high-rise and super high-rise structures, the theoretical calculation data of the natural vibration period of high-rise and super high-rise buildings, shaking table test data and the measured vibration data of wind pulsating structure in China in recent years were collected. By fitting and comparing the calculated data and various experimental data, the recommended formula for the fundamental natural vibration period was obtained. Meanwhile, based on the above data, the influences of building height, earthquake action and structure type on the ratios of second-order and third-order natural vibration periods to fundamental natural vibration period were discussed, and the statistical results were obtained for the ratios of second-order and third-order natural vibration periods to fundamental natural vibration period.

Keywords:high-rise and super high-rise building; fundamental natural vibration period;  high-order natural vibration period; estimation formula

*国家自然科学基金资助项目(51338004，50978091,51278181)。

作者简介：汪帜辉,硕士研究生，Email:519710548@qq.com。