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一种控制高层结构随机地震反应的新策略
马涌泉, 邱洪兴
(东南大学土木工程学院, 江苏南京 210096)
摘要:
以某高层剪切型钢框架结构为工程背景,提出TMD与LRB联合作用的T-L控制策略,利用非线性随机振动理论分别对无控制、TMD控制和T-L控制3种控制结构的非线性运动方程进行等效线性化处理,利用复模态理论给出以第一振型表示的3种控制结构随机地震反应解析解的计算方法。研究结果表明:新提出的T-L控制策略比TMD控制更能显著降低结构位移、速度和加速度反应方差;新算法同样可用于求解LRB层间隔震高层结构随机地震反应。算例在T-L控制下的最大位移、速度和加速度反应方差比TMD控制下的分别降低了29.3%、27.8%和31.6%。
关键词:  高层结构  振动控制  调谐质量阻尼器  铅芯橡胶支座  复模态分析  随机地震反应
DOI:10.3969/j.issn.1673-5005.2014.01.019
分类号:O 324; TU 352.1 〖HTH〗
基金项目:国家“十二五”科技支撑计划资助项目(2012BAJ14B00); 国家自然科学基金项目 (51078077)
New strategy for controlling random seismic response of high-rise structure
MA Yong-quan, QIU Hong-xing
(College of Civil Engineering, Southeast University, Nanjing 210096, China)
Abstract:
Taking a high-rise shearing steel frame structure as engineering background, a new T-L control strategy combining the action of TMD and LRB was proposed. The nonlinear motion equations of three control structures, which included non-control, TMD control and T-L control, were equivalently linearized by nonlinear random vibration theory, respectively. The algorithm was given for obtaining the analytical solutions expressed in the first order vibration model of random seismic response for three control structures using complex mode theory, respectively. The results indicate that the T-L control strategy can more significantly reduce the displacement, velocity and acceleration response variance of high-rise structure than TMD control. The new algorithm can also be used to solve the random seismic responses of the high-rise structure with LRB storey-isolation. The peak displacement, velocity and acceleration response variance of the example are decreased by 29.3%, 27.8% and 31.6% in T-L control compared with TMD control, respectively.
Key words:  high-rise structure  vibration control  tuned mass damper  lead rubber bearing  complex mode analysis  random seismic response
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