建筑科学与工程学报060310

	建筑科学与工程学报 JOURNAL OF ARCHITECTURE AND CIVIL ENGINEERING 2006 Vol.23 No.3 P.50-53

低矮小开口剪力墙自由振动问题的半解析解

楼梦麟　李守继　

摘　要：针对低矮小开口剪切型剪力墙,研究基于直接模态摄动法原理的结构动力特性的半解析分析方法.首先把低矮小开口剪力墙视为变截面的剪切型悬臂结构,依据连续系统动力分析原理建立剪切型剪力墙自由振动分析的变系数微分方程;然后利用等截面剪切型悬臂结构模态函数的解析解和直接模态摄动法原理,考虑剪力墙中小开口对系统特征值和主模态所带来的影响,并进行修正;最后应用Ritz变换,将低矮小开口剪力墙的自振特性分析问题转化为一组非线性代数方程的求解问题,进而求得该类剪力墙自振特性的近似半解析解.算例结果表明,该方法对以剪切变形影响为主的低矮小开口剪力墙动力分析简便有效.
关键词：低矮小开口剪力墙;自由振动分析;直接模态摄动法;Ritz变换
分类号：TU398.2 　文献标识码：A
文章编号：1673-2049(2006)03-0050-04

Semi-analytical Solution for Free Vibration of Short Shear Wall with Small Openings

LOU Meng-lin　 LI Shou-ji　

作者简介：楼梦麟(1947-),男,浙江余姚人,教授,博士生导师,工学博士,E-mail:lml@mail.tongji.edu.cn.
作者单位：楼梦麟（同济大学,土木工程防灾国家重点实验室,上海,200092）　
　　　　　李守继（同济大学,土木工程防灾国家重点实验室,上海,200092）　

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收稿日期：2006年6月15日

出版日期：2006年9月30日

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