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密肋复合墙板支撑框架结构自振周期计算方法

Natural vibration periods calculation method for frame structure with multi-grid composite walls

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【作者】 钱坤郭猛袁泉

【Author】 QIAN Kun1,2,GUO Meng1,YUAN Quan1(1.Beijing Jiaotong University,School of Civil Engineering,Beijing 100044,China; 2 Jilin Architectural and Civil Engineering Institute,School of Civil Engineering,Changchun 130118,China)

【机构】 北京交通大学土木建筑工程学院吉林建筑工程学院土木工程学院

【摘要】 密肋复合墙板支撑框架结构是由框架与其内部嵌入的密肋复合墙板组成的一种双重抗震结构,框架内部嵌入复合墙板所组成的受力构件,其变形特征不同于普通框架和剪力墙,由此导致结构的自振周期计算方法不能直接按照一般框架-剪力墙结构进行计算。以Timoshenko双变量梁理论及协同工作模型为基础,建立复合墙板支撑框架结构的频率方程,结合边界条件导出了结构的自振周期计算公式,并给出基本自振周期的近似计算方法。算例分析表明:复合墙板支撑框架结构自振周期受复合板抗剪刚度影响较大,且影响随着振型的增加而增大,高振型时复合墙板剪切变形的影响不可忽略;采用近似计算方法计算基本自振周期的误差不大,可以满足工程计算精度要求。

【Abstract】 The frame structure with multi-grid composite walls is a dual seismic structure.The deformation feature of the structure is different from common frame or shear wall,and its natural vibration periods can not be calculated with the conventional method for frame-shear wall structure.Based on the theory of Timoshenko dual variables beam and the collaborative work model,the frequency equation of the structure was derived,and the natural periods calculation formula was established combining with the boundary conditions on structure.The approximate calculation method for the fundamental period was given simultaneously.Example analysis shows that: the natural vibration periods of the structure can be impacted by the shear stiffness of the lightweight composite wallboard significantly,especially its higher order periods.The influence of the shear deformations of the composite wall on the natural vibration periods of higher order modes should not be ignored.The error of approximate calculation method for the fundamental period is not large comparing with the analytical solution,and can meet the engineering calculation accuracy requirements.

【基金】 住房和城乡建设部研究开发项目(2009-Kv-12);吉林省科技发展计划项目(20090252-2);长春市社会发展科技计划项目(09SF23)
  • 【文献出处】 振动与冲击 ,Journal of Vibration and Shock , 编辑部邮箱 ,2012年10期
  • 【分类号】TU311.3;TU323.5
  • 【被引频次】4
  • 【下载频次】122
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