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《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

卷:

23卷

期数:

2006年03期

页码:

50

栏目:

出版日期:

2006-09-20

文章信息/Info

Title:

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

作者:

楼梦麟，李守继

同济大学 土木工程防灾国家重点实验室,上海 200092

Author(s):

LOU Meng-lin, LI Shou-ji

State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China

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

Keywords:

short shear wall with small opening;  free vibration analysis;  direct modal perturbation method;  Ritz transformation

分类号:

TU398.2

DOI:

-

文献标志码:

A

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。

Abstract:

Based on the principal of direct modal perturbation method, a simplified semi-analytical technique for the modal characteristics of the short shear wall with small openings was developed. At first, the short shear wall with small openings was considered as a shear cantilever system with variable cross sections. The differential equation of motion with variable coefficient of the system was established according to the dynamic analysis theory of the distributed-parameter systems. Then, the effects of the small openings in the shear wall on the modal characteristics of the shear cantilever system with variable cross sections were discussed and modified utilizing the modal characteristics of the shear cantilever system having uniform properties and the direct modal perturbation. Finally, a set of nonlinear algebraic equations was obtained by applying Ritz transformation to solve the modal characteristics of the short shear wall with small openings. The results of numerical examples show that the proposed method is simplification and has good precision.

参考文献/References:

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备注/Memo

备注/Memo:

收稿日期:2006-06-15
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。

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更新日期/Last Update: 2006-09-20