(1 西安理工大学土木建筑工程学院， 西安 710048； 

2 西安建筑科技大学土木工程学院， 西安 710055)

［摘要］为了研究倾斜砖石古塔的动力性能及其随机振动规律，依据虚拟激励法及场地振动特性，综合考虑结构及激励的随机性，对陕西省旬邑县泰塔在倾斜矫正施工期间进行了随机动力响应分析。计算了各楼层速度及加速度响应的自功率谱，给出了结构振动的前2阶自振频率；并进行了各楼层响应与地面振动的互功率谱及频响函数分析，研究了楼层随机动力响应与地面随机振动输入及结构振动的关系。结果表明：地面随机振动加速度对底部楼层影响较为显著，而速度响应则是在顶部楼层较为明显，且随着楼层高度增加，结构自振动力响应逐渐显著。因此，进行古塔结构振动测试及随机振动分析应依据研究目的确定测点位置及所采集信号类型。

［关键词］砖石古塔； 随机振动； 动力测试； 振动特性

中图分类号：TU311-3文献标识码：A文章编号：1002-848X(2017)02-0070-05

Analysis of random vibration test of an inclined ancient masonry pagoda

Cui Xiaoling1, Li Kai2, Lu Junlong1, Chen Ping2, Fan Guanxian2

(1 School of Civil Engineering and Architecture, Xi′an University of Technology, Xi′an 710048, China；

2 School of Civil Engineering, Xi′an University of Architecture and Technology, Xi′an 710055, China)

Abstract:In order to research the dynamical performance and random vibration laws of inclined masonry pagodas, the random dynamical response analysis on Taita Pagoda in Xunyi County, Shaanxi Province was conducted according to the virtual excitation method and the vibration characteristics of the site during deviation rectification construction. The randomness of the structure and excitation were also considered. The auto-power spectra of velocity and acceleration of each floor were calculated and the vibration frequencies for first and second order stage were given. The cross power spectra and frequency-response function analyses were conducted on response and ground vibration for each floor, the relationship between floor random dynamic response and  ground random vibration input and the relation between floor random dynamic response and structure vibration were studied. Results show that effect of ground random vibration acceleration on the bottom floor is remarkable and the velocity response is evident on top floors. Furthermore, with increase of building height, the dynamic response of the self-vibration of the structure is gradually significant. Therefore, vibration test and random vibration analysis on ancient pagoda structure should be based on the purpose of the study to determine the location of the measuring point and the type of signal acquisition.

Keywords:masonry pagoda; random vibration; dynamical test; dynamical performance

*国家自然科学基金项目（51308455），陕西省自然科学基础研究计划项目（2015JM5206），住房与城乡建设部科技计划项目（2014-K2-018），陕西省博士后科学基金资助项目。

作者简介：崔晓玲，博士，讲师，Email: hongbeibei@xaut.edu.cn。