基于等效刚度的矩形孔蜂窝梁钢框架结构内力计算方法  

Internal Force Calculation of Steel Frame Structure Containing Castellated Beams With Rectangular Holes Based on Equivalent Stiffness Method

作　　者：黄炳生[1] 秦雨生 黄泰杰 HUANG Bingsheng;QIN Yusheng;HUANG Taijie(College of Civil Engineering,Nanjing Tech University,Nanjing 211816,Jiangsu,China;Shanghai Institute of Architectural Design and Research Co.,Ltd.,Shanghai 200040,China)

机构地区：[1]南京工业大学土木工程学院,江苏南京211816 [2]上海建筑设计研究院有限公司,上海200040

出　　处：《力学季刊》2023年第1期218-226,共9页Chinese Quarterly of Mechanics

摘　　要：蜂窝梁钢框架结构因梁截面沿长度周期性变化,不能直接采用普通钢框架结构矩阵位移法计算框架内力和位移.本文基于等效刚度法推导了矩形孔蜂窝梁的等效抗弯刚度、抗剪刚度和轴向刚度,建立了矩形孔蜂窝梁的单元刚度方程,提出了矩形孔蜂窝梁钢框架内力和位移计算方法.算例理论计算结果与有限元分析结果表明,两种方法计算结果非常接近.本文提出的等效刚度法概念清晰,准确性好,适用于计算蜂窝梁钢框架结构的内力和位移.The matrix displacement method cannot be used directly to calculate the internal force and displacement of steel frame structure with castellated beams because the beam section changes periodically along the length.In this paper,the equivalent flexural stiffness,the equivalent shear stiffness and the equivalent axial stiffness of castellated beam with rectangular holes are deduced based on the equivalent stiffness method.The element stiffness equation of castellated beam with rectangular holes is established.The calculation method of the internal force and the displacement of castellated beam steel frame structure is Put forward.Comparison between the theoretical calculation results and the finite element analysis results shows that the results of the both are very close.The equivalent stiffness method proposed in this paper has good conceptual clarity and high accuracy,and thus is suitable for calculating the internal forces and displacements of the castellated beam steel frame structure.

关 键 词：钢框架结构 矩形孔蜂窝梁 等效抗弯刚度 等效抗剪刚度 内力计算 

分 类 号：TU392[建筑科学—结构工程]