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钢管混凝土空腹结构的双重非线性简化分析方法

, PP. 51-56

Keywords: 桥梁工程,相关屈曲,有限元,钢管混凝土,空腹结构,非线性,剪切变形

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Abstract:

采用考虑剪切变形的Timoshenko梁的刚度矩阵,用抗剪刚度和抗弯刚度之比来考虑剪切变形对抗弯刚度的影响,得出空腹结构连续化成一根杆件的刚度矩阵。在单元刚度计算时,弦杆(或柱肢)和腹杆均采用了有效轴压刚度,考虑了空腹结构组成杆件的初弯曲对整体结构稳定的影响。采用FORTRAN语言编制了程序。算例表明简化算法计算结果与传统杆系模型有限元方法计算结果吻合良好,用于钢管混凝土空腹结构的极限承载力分析,可大幅度减少单元数,从而简化计算,节省机时。探讨了相关屈曲和剪切变形对钢管混凝土空腹结构极限承载力的影响。研究结果表明,随着长细比的增大,剪切变形影响逐渐减小,随着弦杆与腹杆的面积比的增大,剪切变形影响增大。对于钢管混凝土格构柱,当λ1>λ(λ1为柱肢长细比;λ为柱整体长细比)时,发生柱肢局部屈曲失稳;当λ1<λ时,发生整体屈曲失稳;在λ1=λ及其附近时,柱肢与整体的相关屈曲最明显。

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