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考虑P-Δ效应的柱顶隔震结构的动力响应分析

Dynamic responses analysis of structures with isolators on the top of the columns considering P-Δ effects

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【作者】 马长飞谭平张亚辉周福霖

【Author】 Ma Changfei1 Tan Ping2 Zhang Yahui1 Zhou Fulin1,2(1.State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116023,China;2.Earthquake Engineering Research Center,Guangzhou University,Guangzhou 510405,China)

【机构】 大连理工大学工业装备结构分析国家重点实验室广州大学工程抗震研究中心

【摘要】 针对柱顶隔震结构,提出考虑P-Δ效应动力响应的免迭代计算方法,分析P-Δ效应对柱顶隔震结构响应的影响。由于隔震层处的层间位移较大,当受到的轴力较大时,二阶效应不容忽视。隔震支座采用双线性模型,构造水平力偶代替结构轴向力形成的弯矩,并在隔震层处做了特殊处理,使得隔震层处的附加弯矩能够传递到下部结构。这样在计算结构的非线性响应时,相当于结构的刚度矩阵在原来的基础上增加了一个几何刚度矩阵,从而避免了迭代运算。研究表明:某些情况下P-Δ效应会显著增大下部结构的响应。

【Abstract】 For the dynamic response analysis of structures with isolators on the top of the columns,an iteration-free algorithm was proposed.The influences of P-Δ effects on the responses of the substructure were studied extensively.Because of the large storey drift,the second-order effects can not be neglected when the axis-forces are large.Bilinear hysteric model was adopted to model the behavior of isolators,the moments formed by axis-forces were replaced by equivalent horizontal force couples,and some special measures were fulfilled to transfer the moment of the isolation layer to the substructure.Consequently,geometric stiffness matrix was obtained and the iteration was avoided.The results show that P-Δ effects apparently enlarge the responses of the substructure in some cases.

【基金】 建筑抗震前沿理论与技术研究(2009BAJ28B03);国家自然科学基金重大研究计划“重大工程的动力灾变”重点项目“重大工程结构地震损伤破坏的控制原理与方法(”90815027)
  • 【文献出处】 土木工程学报 ,China Civil Engineering Journal , 编辑部邮箱 ,2010年S1期
  • 【分类号】TU352.12
  • 【被引频次】18
  • 【下载频次】361
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