变截面门式刚架结构的有限元分析
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王文明 郭彦林 (清华大学土木系 北京 100084)赵熙元 (重庆钢铁设计研究院 630013)
[提要] 论述了变截面梁单元有限元线弹性分析方法,以及不同类型梁单元(等截面梁单元、普通位移模式变截面梁单元、积分位移模式变截面梁单元)对变截面刚架内力分析的差异。在大量算例分析的基础上,给出两段变截面梁(远端铰接)等效转动惯性矩的计算公式,供设计人员参考。
[关键词] 门式刚架 变截面梁 有限元 等效刚度The authors present a finite element formulation of a portal frame with tapered members, and demonstrate the convergent difference of three types of finite elements used in the analysis. A lot of numerical studies are carried out to investigate the behavior of the portal frame and conduct a set of design formula for evaluating the equivalent stiffness of the beams with tapered sections.
Keywords: portal frame tapered members; finite element method; equivalent stiffness