半刚性连接钢框架二阶弹塑性稳定分析的QR法  

QR METHOD FOR SECOND-ORDER ELASTOPLASTIC STABILITY ANALYSIS OF STEEL SEMI-RIGID FRAME

作　　者：李秀梅[1] 秦荣[1] 

机构地区：[1]广西大学土木建筑工程学院,广西南宁530004

出　　处：《工程力学》2013年第3期1-7,共7页Engineering Mechanics

基　　金：广西理工科学实验中心重点项目(LGZX201101);广西教育厅项目(201012MS009)

摘　　要：基于QR法研究半刚性连接钢框架的稳定性,采用梁两端附带零长度转动弹簧的通用半刚性连接梁单元,通过转动弹簧和Kishi-Chen三参数模型来模拟梁柱半刚性连接的非线性力学性能,考虑二阶效应的影响,采用塑性铰模型及修正的Newton-Raphson迭代法,建立了平面钢框架二阶弹塑性稳定分析的QR法计算格式和步骤,并设计了相应的C++源程序,最后通过典型算例分析了半刚性连接钢框架的稳定性能,表明了该算法的优越性。Based on QR method, the stability of a steel semi-rigid frame was studied in this paper. A general semi-rigid beam element model with a zero-length rotational spring at both ends of the beam was used. The mechanical properties of semi-rigid connections were simulated by a rotational spring and a Kish-Chen three-parameter model. Considered the second-order effect, adopted a plastic hinge model and a modified Newton-Raphson iteration method, the calculation format and steps of QR method for the second-order elastic-plastic stability analysis of steel frames were constituted. Furthermore, the corresponding C＋＋ source codes were designed. Finally, the stability of a typical steel frame was analyzed. The superiority of this method was showed.

关 键 词：钢框架 稳定分析 QR法 半刚性连接 弹塑性 二阶效应 

分 类 号：TU311[建筑科学—结构工程] TU391