随机风振作用下非对称悬挂结构响应及等效风振力研究  

Dynamic responses and equivalent wind load of asymmetric suspension structure under random wind excitation

作　　者：梁雄杰 杨宗旺 陈敏 张梨荣 葛新广 LIANG Xiongjie;YANG Zongwang;CHEN Min;ZHANG Lirong;GE Xinguang(China Construction Science and Industry Corporation Ltd.,Shenzhen 518000,China;School of Civil Engineering and Architecture,Liuzhou Institute of Technology,Liuzhou 545616,China)

机构地区：[1]中建科工集团有限公司,广东深圳518000 [2]柳州工学院土木建筑工程学院,广西柳州545616

出　　处：《广西科技大学学报》2023年第4期32-39,共8页Journal of Guangxi University of Science and Technology

基　　金：国家自然科学基金项目(51868007);钢结构装配式建筑复杂结构施工成套技术研究与开发(202207)资助。

摘　　要：针对非对称悬挂结构在随机风振作用下动力响应分析复杂的问题,提出其在顺风向作用下水平和竖向耦合振动响应的分析方法。首先,建立非对称悬挂结构在顺风向脉动风振作用下水平和竖向耦合振动的动力方程,利用实模态振型分解法获得以实模态广义坐标表示的风振动方程,并利用有限元软件获得实模态振动参数;然后,基于复模态法和虚拟激励法获得悬挂结构位移、速度、实模态广义坐标等响应量的统一形式频域解,并基于二次式分解法获得了上述响应量谱矩和方差的简明封闭解以及非对称悬挂结构在顺风向风荷载作用下结构等效风振力的计算式;最后,通过算例分析,验证了所提封闭解的正确性,并研究了非对称悬挂结构动力响应及等效风振力受广义坐标的影响。研究表明,在顺风向风荷载作用下,结构将同时产生横向与竖向振动,且竖向振动不可忽略。Due to the complexity of dynamic response of asymmetric suspension structure under random wind excitation,a method for analyzing horizontal and vertical coupling vibration response under downwind excitation is proposed.Firstly,the dynamic equations of the asymmetric suspension structure under downwind action are established.The wind vibration equations expressed by generalized coordinates are obtained by the real mode decomposition method,and dynamic vibration parameters are obtained by finite element software.Then,with the complex mode method and the virtual excitation method,the unified frequency-domain solutions of the displacement,velocity and generalized coordinates of the real modes of the suspension structure are obtained.With the quadratic decomposition method,the closed solution of the spectral moment and variance of the above responses and the calculation formula of the equivalent wind force are obtained.Finally,the accuracy of the proposed closed solution is verified by an example analysis,and the effects of generalized coordinates on the dynamic response and equivalent wind force of the asymmetric suspension structure are studied.The results show that the structure will generate both lateral and vertical vibration,and the vertical vibration cannot be ignored under the downwind load.

关 键 词：非对称悬挂结构 随机风振 封闭解 等效风振力 

分 类 号：TU312.1[建筑科学—结构工程] TU352.2