含刚性斜杆的平面有侧移刚架内力计算  

INTERNAL FORCE CALCULATION OF PLANE SIDESWAY FRAME CONTAINING RIGID INCLINED BAR

作　　者：吴耀鹏[1,2] 邓远航 郭昕[2] WU Yaopeng;DENG Yuanhang;GUO Xin(School of Civil Engineering,Xi'an University of Architecture&Technology,Xi'an 710055,China;National Experimental Teaching Demonstration Center for Civil Engineering,Xi'an University of Architecture&Technology,Xi'an 710055,China)

机构地区：[1]西安建筑科技大学土木工程学院,西安710055 [2]西安建筑科技大学国家级土木工程实验教学示范中心,西安710055

出　　处：《力学与实践》2021年第4期613-616,共4页Mechanics in Engineering

基　　金：陕西省教育厅重点实验室科研计划项目(20JS071)资助。

摘　　要：在结构分析中,为简化计算常假定结构体系中某些杆件或杆件沿某个方向为无限刚性,含刚性杆结构的内力分析是结构力学的教学难点。在位移法教学中常涉及有侧移刚架,若刚架中含斜杆和刚性杆件,杆端位移将受到限制,结构体系中必有非独立结点位移出现。本文通过引入刚架中刚性约束的约束方程,获得约束方程的系数矩阵,根据系数矩阵秩的计算确定结构体系的基本未知量。并根据约束方程确定结构体系非独立结点位移与独立结点位移间的关系式,应用位移法分析刚架内力。In order to simplify the calculations in structural analysis, it is often assumed that some members or their specific directions are rigid. The internal force calculations of the structure with rigid members are difficult points in teaching the structural mechanics. For the sidesway frame containing an inclined bar and a rigid bar, its node displacements will be limited, with the non-independent node displacements. This paper uses the constraint equations of the rigid bars to obtain the coefficient matrix. And based on the rank of the coefficient matrix, the basic unknown of the structure could be determined. Furthermore, the relationships between the independent node displacements and the non-independent node displacements of the structure are derived, so the internal force of the frame could be solved using the displacement method.

关 键 词：刚性杆 斜杆 有侧移刚架 

分 类 号：O342[理学—固体力学]