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弯曲型剪力墙动力分析的模态摄动法
引用本文:楼梦麟,黄明开.弯曲型剪力墙动力分析的模态摄动法[J].上海力学,2006,27(4):615-620.
作者姓名:楼梦麟  黄明开
作者单位:同济大学,土木工程防灾国家重点实验室,上海,200092;同济大学,土木工程防灾国家重点实验室,上海,200092
摘    要:本文应用直接模态摄动法建立了小开口弯曲型剪力墙和双肢弯曲型剪力墙动力特性近似分析方法,在这一方法中,以等截面均匀悬臂梁的正交模态函数为Ritz展开的基函数,把弯曲型剪力墙看作均匀悬臂梁的局部修改后的新体系,通过模态摄动原理,获得小开口弯曲型剪力墙和双肢弯曲型剪力墙振动模态的半解析解。算例结果表明模态摄动法能够简便地得到精度高的结构动力特性。

关 键 词:剪力墙  自振特性  模态摄动法  悬臂梁  Ritz基函数
文章编号:0254-0053(2006)04-615-6
收稿时间:2005-06-13
修稿时间:2005年6月13日

Mode Perturbation Method for Dynamic Analysis of Shear Walls
LOU Meng-lin, HUANG Ming-kai.Mode Perturbation Method for Dynamic Analysis of Shear Walls[J].Chinese Quarterly Mechanics,2006,27(4):615-620.
Authors:LOU Meng-lin  HUANG Ming-kai
Institution:State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China
Abstract:An approximate method, named 'Direct Mode Perturbation Method', was introduced to analyze the dynamic characters of shear wall with openings and short pier shear wall structures. The orthogonal mode functions of cantilever beam were taken as the base functions of Ritz expansion and the shear wall structure was considered as a new system modified from the cantilever beam. Through the principle of mode perturbation, the semi-analytic solution of vibration mode of shear wall with openings and short pier shear wall structures was obtained. The numerical results of two examples show that the method can simplify the solving procedure of mode analysis on shear wall with openings and short-pier shear wall structures.
Keywords:shear wall  free vibration character  mode perturbation method  cantilever beam  Ritz basic function
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