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作 者:郑廷银[1] 马梦寒[1] 张玉[1] 赵惠麟[2]
机构地区:[1]南京工业大学土木工程学院 [2]东南大学土木工程学院
出 处:《土木工程学报》2005年第4期38-45,共8页China Civil Engineering Journal
基 金:江苏省建设厅资助项目 (JS200120)
摘 要:详细推导了基于非线性连续介质力学理论和考虑剪切效应的稳定插值函数所建立的严格三维梁柱单元虚功增量方程和切线刚度方程, 该方程包含了轴向、剪切、双向弯曲与扭转及其各耦合效应。提出的三维单元简化塑性区模型可模拟塑性扩展。建立了考虑支撑效应的节点域剪切变形模型, 该模型可更真实地反映节点域的变形影响。使用包括几何、材料非线性和节点域变形影响的数值算例来检验本文方法和所编计算机程序的可行性、有效性与精确度。算例表明: 利用该程序, 每个构件只需一个单元即可准确预测三维结构的极限荷载与失稳模态, 可提高结构非线性空间性能的分析效率。该程序可用于三维结构的非线性全过程分析, 为建立高层钢结构的高等分析方法奠定了基础。An incremental virtual work equation and a tangent stiffness equation for a stringent three dimensional beam-column element are derived in detail by using nonlinear continuum mechanics and stability interpolation funtion,which include the shear effects and the coupling effects of axial,flexural and torsional displacements.A simplified plastic zone model for the three demensional beam-column element and a joint panel zone model of braced space steel frame considering brace effects are established.Numerical examples including geometric and material nonlinearites,considering joint panel zone effects,are employed to edmonstrate the robustness,accuracy and efficiency of the proposed analytical method and computer program.The developed computer program can be used to predict accutrately the ultimate strength and instability modality of three dimensional structures,by one element per member in most cases,and the suggested nonlinear analysis method establishes the groundwork for establishing advanced analysis method of tall steel structures.
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