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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

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【作者】 李秀梅秦荣

【Author】 LI Xiu-mei,QIN Rong(College of Civil and Architecture Engineering,Guangxi University,Nanning,Guangxi 530004,China)

【机构】 广西大学土木建筑工程学院

【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。

【Abstract】 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.

【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)
  • 【文献出处】 工程力学 ,Engineering Mechanics , 编辑部邮箱 ,2013年03期
  • 【分类号】TU391;TU311.2
  • 【被引频次】21
  • 【下载频次】253
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