基于格林函数法的高层连体结构动力特性分析  

Dynamic characteristics analysis of connected high-rise building structure based on Green Function Method

作　　者：律清 黄强[2] 张振亚 Lo Qing;Huang Qiang;Zhang Zhenya(Scool of Cinil and Tansoration Eninering,Ningbo Unerily of Tehnology,Ningoo 315211,China;School of Ciwil and Enoironmenal Enineering,Ningbo University,Ningbo 315211,China)

机构地区：[1]宁波工程学院建筑与交通工程学院,浙江宁波315211 [2]宁波大学土木与环境工程学院,浙江宁波315211

出　　处：《建筑科学》2021年第7期36-43,共8页Building Science

基　　金：国家自然科学基金青年基金项目(52008216);建筑安全与环境国家重点实验室暨国家建筑工程技术研究中心开放课题基金(BSBE2019-01);浙江省自然科学基金项目(LY20A020005)

摘　　要：基于格林函数方法对空中连廊连接的高层连体结构动力特性进行参数化研究。建立连体结构分布参数动力分析模型,采用欧拉-伯努利梁模拟高层建筑结构弯曲变形特征,空中连廊与塔楼连接刚度通过弹簧单元模拟。构造连体结构侧向变形的格林函数导出结构体系频率特征方程解析表达式,通过数值算法求解特征方程并进行参数化分析。研究连接单元刚度比、连体质量比和连体位置等无量纲参数对高层连体结构动力特性的影响规律,深入揭示柔性连接高层连体结构体系动力特性。研究结果表明,连体结构振型包含同相位振型和反相位振型;柔性连接使得连体振型更加丰富,连接单元刚度对振型影响较大,连体质量比只对同相位振型产生影响;柔性连接情况下,连体位置变化对体系高阶频率影响较小。研究结果可为高层连体结构初设阶段连接单元最优参数的选取提供支撑。Parametric analysis of the dynamic characteristics of the connected high-rise building structure is conducted based on the Green Function Method.The distributed parameter dynamic analysis model of connected structure is established.Euler-Bernoulli beam is selected to simulate bending deformation characteristics of high-rise buildings.The spring element is adopted in modeling connections between the sky-corridor and the towers.The analytical eigenvalue function of the system is derived by establishing the Green Function of lateral deformation of connected structures.The eigenvalue equation is solved by numerical algorithm and relevant parametric analysis is also investigated.The effects of the stiffness ratio,mass ratio and position of the connecting element on the dynamic characteristics of the connected structure are studied and the dynamic characteristics of high-rise connected structures with flexible connections are deeply revealed.The results show that vibration modes of the connected structure contain in-phase and out of-phase modes;flexible connection makes the vibration mode more abundant,the stiffness of connecting element has a great influence on the vibration mode,and the mass ratio of connecting element only has an influence on the in-phase vibration mode;in the case of flexible connection,the change of sky-corridor location has little effect on the higher-order frequency of the system.The results can provide a mechanical basis for the optimal parameters selection of connection elements in the initial design stage of high-rise connected structures.

关 键 词：高层连体结构 格林函数法 分布参数模型 动力特性 参数分析 

分 类 号：TU352.1[建筑科学—结构工程]