底框剪力墙结构弯扭耦合分析.doc

毕业论文
底框剪力墙结构弯扭耦合分析
专业土木工程
河北工程大学土木工程学院
2011年06月01日
摘要
底部大空间剪力墙结构体系是将框架结构和剪力墙结构相结合的产物。由于其结构形式的特殊性,底部大空间剪力墙在结构形式、受力特点上也与传统的框架一剪力墙有显著的区别。目前工程界已经广泛采用这种结构体系,众多的结构专家和学者也对底部大空间剪力墙结构开展了较为深入的理论研究。但其研究多集中于对称结构,对非对称结构涉及较少。
本文从能量变分原理出发,通过引入原变量的对偶变量,运用哈密顿体系导出哈密顿对偶方程,运用两端边值问题的精细积分法,通过MATLAB软件编制相应的程序求出问题的数值解,然后以一幢12层的底部大空间剪力墙结构为研究对象,对底部大空间剪力墙结构进行弯扭耦合分析,并对所得结果进行分析,验证本方法的可行性。运用此方法得出的结果精确度高、计算简便、计算操作易与程序化,为工程实例计算提供一种新的方法。
关键词:底部大空间结构;薄壁结构;弯扭耦合;哈密顿理论;精细积分法
Abstract
The bottom big space shear wall structure is bination of frame and Shear to the specialty of the style bination,the bottom big space shear wall is quite different from normal frame-shear wall structure in structural forms and load-bearing this structure system has already been used widely in engineering circles,the structure experts and scholars have also done much research on it,  the theory researchs are focus on symmetric structure ,the theory researchs major in the symmetric structure, the asymmetric structure is involved in less.
First of all, this paper introduces the original variable’s dual variable by introduces the energy variation principle. Secondly we derived hamiltonian dual equation by hamiltonian we can obtained the problem’s numerical solution using the precise integration method of two end boundary and the procedures which piled by MATLAB. Using the bottom big space shear wall structure of 12-floor as research object,this paper make an analysis for bending-torsional coupling of the bottom big space shear wall structure,we can verified this meth- od’s feasibility. The results which obtained by this method have many advantages,such as high accuracy、easy calculation、calculating operationg easy to programmed and so on. It provides a new method for engineering case.
Keywords:the bottom big space shear wall structure;thin-walled bar;bending-torsional-coupled;
Hamilton dual systems;the precise integration method of two end boundar
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摘要
Abstract