框架-剪力墙结构在水平荷载作用下的内力和位移计算

李恒生

doi:10.11835/j.issn.1674-4764.1989.04.010

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框架-剪力墙结构在水平荷载作用下的内力和位移计算

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- 框架-剪力墙结构在水平荷载作用下的内力和位移计算
- THE CALCULATION OF INTERNAL FORCES AND DISPLACEMENTS IN FRAME-SHEARING WALL STRUCTURE UNDER THE HORIZONTAL LOADS
- 土木与环境工程学报（中英文） 1989年11卷第4期
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- DOI：10.11835/j.issn.1674-4764.1989.04.010
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- 纸质出版：1989
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李恒生. 框架-剪力墙结构在水平荷载作用下的内力和位移计算[J]. 土木与环境工程学报（中英文）, 1989,11(4).

Li Hengsheng. THE CALCULATION OF INTERNAL FORCES AND DISPLACEMENTS IN FRAME-SHEARING WALL STRUCTURE UNDER THE HORIZONTAL LOADS[J]. Journal of Civil and Environmental Engineering, 1989, 11(4).
李恒生. 框架-剪力墙结构在水平荷载作用下的内力和位移计算[J]. 土木与环境工程学报（中英文）, 1989,11(4). DOI： 10.11835/j.issn.1674-4764.1989.04.010.

Li Hengsheng. THE CALCULATION OF INTERNAL FORCES AND DISPLACEMENTS IN FRAME-SHEARING WALL STRUCTURE UNDER THE HORIZONTAL LOADS[J]. Journal of Civil and Environmental Engineering, 1989, 11(4). DOI： 10.11835/j.issn.1674-4764.1989.04.010.

摘要

高层建筑结构中

较规则的框架-剪力墙体系的计算

是根据墙、梁、柱变形协调建立的一个四阶微分方程式

并考虑四个边界条件后所得出的内力和位移的计算式

皆为双曲线函数。本文将其四阶微分方程式转化为二阶微分方程式

求解时采用了新的齐次解的表达式

所得的内力与位移的计算式为一般常用的指数函数

从而计算较为方便。经过对比

结果完全一致。本文还可推广应用到部分变层高、变刚度的建筑。

Abstract

In general

the calculating result of a comparatively regular frame-shearing wall system in tall buildings

a 4-order differential equations are established according to the deformation-coordination of beams

columns and four boundary conditions.Then a series of formulas concerning internal forces and displacement is obtained These formulas are hyperbolic functions.This paper presents a method

which changes 4-order differential equations into 2-order and solves them by the expressions of new homogeneous solutionThen the formulas of internal forces and displacements become exponential functions By this method

the calculation is very convenient The result of suggested method agrees well with the general by comparison This paper is also applicable to buildings with some part of different height of storey or stiffness.

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