细长柔韧压杆弹性失稳后挠曲线形状的计算机仿真

摘要

A Maple code is developed for the slender, flexible, compressed post-buckling bar. Its deformation curve shape is numerically simulated. Simulations and detailed solutions are given for two cases--the maximum deflection and the closing deflection curve after buckling. Mechanical character of instability after buckling is analyzed and computed. Analysis expression is given; the geometric features of the curve in the equilibrium case after buckling is analyzed and computed. The results indicate that the maximum deflection after buckling and the closing deflection curve are two completely different buckling states%采用Maple编程对细长柔韧压杆弹性失稳后挠曲线形状进行了计算机仿真，进行了细长柔韧压杆弹性失稳后最大挠度和挠曲线封闭两种情况下的挠曲线形状仿真和详细的解答．分析计算了失稳后屈曲的力学特征，给出了解析表达式；分析计算了失稳后屈曲的平衡状态曲线的几何特征，绘出了计算机仿真曲线．结果表明：失稳后最大挠度和挠曲线封闭是属于两个完全不同的屈曲状态．