薛建阳 吴晨伟 翟磊 王瑞鹏 马林林

摘 要：为研究台基对应县木塔地震响应的影响，采用ANSYS有限元软件建立了八角形台基、上部木结构及考虑台基影响的应县木塔整体结构有限元模型，采用模态分析法得到了模型的自振频率及周期。分析得到了上部木结构的弱水平刚度方向，并对上部木结构和考虑台基影响的整体结构模型输入地震波激励，对比分析了两种模型的地震响应。结果表明：八角形台基的频率较高且各阶频率比较接近，当上部木结构的高阶频率与台基频率接近时，台基对上部木结构动力特性有较大影响。木塔东西方向为弱水平刚度方向。相比其他地震波激励，当长周期Tianjin波激励时，上部木结构和考虑台基影响的整体结构模型的加速度和位移响应更大。随着输入激励的峰值加速度增大，模型结构动力系数呈减小趋势。在相同峰值加速度的同种地震波激励下，考虑台基影响的整体结构加速度和位移响应均大于仅考虑上部木结构的情况。

关键词：应县木塔;台基;动力特性;地震响应;有限元分析

中图分类号：TU366.2 文献标志码：A 文章编号：2096-6717（2022）02-0022-08

基金项目：国家自然科学基金（51978568）;上海市工程结构安全重点实验室开放课题（2020-KF07）;陕西省科技创新团队项目（2019TD-029）;陕西省自然科学基础研究计划（2020JZ-50）

作者简介：薛建阳（1970- ），男，博士，教授，主要从事木结构抗震及钢混凝土组合结构研究，E-mail：jianyang_xue@163.com。

Abstract： In order to study the effect of stylobate on the seismic responses of Yingxian Wooden Tower ，the models of octagonal stylobate， the upper timber frame and the overall structure are built by ANSYS finite element software. The modal analysis method is used to obtain the natural frequencies and periods of the model. The direction of the weak horizontal stiffness of the upper timber structure is obtained， and seismic wave excitation is input to the upper wooden structure and the overall structure model respectively. Then the seismic responses of the two models are compared and analyzed. Results show that the octagonal stylobate has a higher natural frequency and all frequencies are relatively close. And when the high-order frequency of the upper timber structure is close to that of the stylobate， the stylobate obviously affects the dynamic properties of the upper timber structure. The east-west direction of the wooden tower is the direction of weak horizontal stiffness.Compared with other seismic wave excitations， the acceleration and displacement responses of the upper timber structure and the overall structure model are greater when the long-period Tianjin wave is input. As the peak acceleration of the inputting excitation increases， the dynamic coefficients only considering the structure decrease.Under the excitation of the same type of seismic wave with the same peak acceleration， the acceleration and displacement response of the overall structure are greater than those of the upper timber structure.

Keywords：Yingxian Wooden Tower; stylobate; dynamic properties; seismic response; finite element analysis

應县木塔全称佛宫寺释迦塔，位于山西省应县县城西北角，始建于辽清宁二年（公元1056年），是中国现存的最高、最古老、保存最完整的木塔建筑。……