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本文建立了平面杆系UL列式的几何非线性与材料非线性耦合分析方法,并编制非线性分析程序。采用所编的程序对文献[2][6]提供的两个模型拱进行了计算分析,通过对拱桥结构的非线性屈曲分析,给出了拱顶挠度-荷载的关系曲线,可以看到拱桥结构的失稳与压杆失稳是有差异的,拱结构在极值荷载点没有明显的屈服台阶,挠度-荷载曲线在达到逢值点立即进入下降段;在对模型拱进行几何与材料非线性分析中,可以看到模型拱的极限承载能力主要受材料非线性的影响。
In this paper, a nonlinear coupling analysis method of geometric nonlinearity and material nonlinearity of UL series of plane rod system is established and a nonlinear analysis program is compiled. The two models of arch provided by [2] and [6] are calculated and analyzed by using the compiled program. Through the nonlinear buckling analysis of arch bridge structure, the curve of arch deflection and load is given, and the arch bridge can be seen There is a difference between the instability of the structure and the stability of the bar. The arch structure has no obvious yield step at the extreme load point, and the deflection-load curve immediately enters the descending section when it reaches every salient point. In the linear analysis, we can see that the ultimate bearing capacity of the model arch is mainly affected by the nonlinearity of the material.