基于随机平均法的框架-摇摆墙结构随机激励响应分析  

Stochastic Excitation Response Analysis of Frame-rocking Wall Structure Based on Stochastic Average Method

作　　者：王冠达 张远进[1,2] 许伊键 WANG Guanda;ZHANG Yuanjin;XU Yijian(不详;China Research Center for Emergency Management,Wuhan University of Technology,Wuhan 470030,China)

机构地区：[1]武汉理工大学中国应急管理研究中心,湖北武汉430070 [2]武汉理工大学安全科学与应急管理学院,湖北武汉430070 [3]合肥工业大学土木与水利工程学院,安徽合肥230009

出　　处：《武汉理工大学学报（信息与管理工程版）》2023年第6期875-879,900,共6页Journal of Wuhan University of Technology：Information & Management Engineering

基　　金：湖北省自然科学基金青年项目(2021CFB017)。

摘　　要：在地震作用下,传统的框架结构将出现层屈服机制,产生不可修复的损伤。摇摆墙的引入使结构的破坏机制趋向于整体屈服机制。摇摆墙结构通过放松墙底和基础之间的约束,允许墙体在地震作用下抬升并发生往复摇摆运动。为研究单自由度框架-摇摆墙结构在随机激励下的响应,通过建立其在非平稳地震激励下的往复摇摆运动方程,基于随机平均法将结构的非线性角度相关的运动方程转化为等效线性的位移相关运动方程,通过数值计算,分析单自由度框架-摇摆墙结构在非平稳地震作用下的随机响应。结果表明,与蒙特卡洛模拟(Monte Carlo simulations,MCS)进行对比,所提方法具有较高的分析精度和合理性。Under earthquake excitation,the traditional frame structure will appear the storey yield mechanism,resulting in irreparable damage to the structure.With the addition of rocking wall,the failure mechanism of the structure tended to the overall yield mechanism.By relaxing the constraints between the bottom of the wall and the foundation,the rocking wall was allowed to lift and oscillate under the action of earthquakes.In order to study the response of the single-degree-of-freedom(SDOF)frame-rocking wall structure under random excitation,this paper established the equation of its reciprocating swaying motion under non-stationary seismic excitation,and the nonlinear angle-dependent motion equations of the structure were transformed into equivalent linear displacement-dependent motion equations based on the stochastic average method.The stochastic response of the SDOF frame-rocking wall structure was analyzed through numerical calculation.The results show that compared with pertinent Monte Carlo simulations(MCS),the simplified method used in this paper has higher accuracy and rationality.

关 键 词：框架-摇摆墙 非平稳随机激励 动力学方程 随机平均法 蒙特卡洛模拟 

分 类 号：O324[理学—一般力学与力学基础]