梁柱线刚度比对刚架弹性屈曲荷载的影响

通过分析不同支座约束形式的有侧移刚架和无侧移刚架弹性屈曲荷载的理论公式,得出刚架弹性屈曲荷载Pcr的值最终反映到梁柱线刚度比K1这一参数上。对刚架临界屈曲荷载理论公式进行简化后,以计算长度系数μ为纽带,找到刚架弹性屈曲荷载Pcr与梁柱线刚度比K1之间的关系。针对不同支座约束形式以及有无侧移情况的刚架分别绘制了其Pcr～K1关系曲线,并且列出了使刚架Pcr上升较快的K1的取值区间。最终得出随着K1的增大,刚架的Pcr有提高的趋势之结论,且在K1较小时,Pcr提高幅度较大,随着K1的增加,Pcr提高幅度逐渐减小,最终趋于平缓。在相同K1水平下,无侧移刚架的弹性屈曲荷载Pcr要远大于有侧移的情况。

The Relationship between Stiffness Ratio of Beam and Column and Elastic Buckling Load of the Frame Structure

This paper analyzes the theoretical formula of elastic buckling load of the frame structure.The analysis involves lateral and non-lateral frame,and the frame involves different forms of bearing constraints.The theory that elastic buckling load of the frame structure(Pcr) have a relationship with stiffness ratio of Beam and column(K1) is come up with.A curve of Pcr~K1 is drawn,and it is found that the range of K1 which Pcr increases rapidly.Finally it is concluded that Pcr and K1 have a positive correlation when K1 is at the low level.With the increase in K1,the growth rate of Pcr slows down.At the same level of K1,the Pcr of non-lateral frame structure is larger than the lateral frame structure.