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根据位移变分原理,本文用一个称作为样条有限杆元法的综合方法对任意截面形状的薄壁压杆进行屈曲分析.提出了一个经过变换的三次B样条函数来模拟薄壁压杆横截面纵向翘曲位移.屈曲分析考虑了反映剪力滞后现象的杆壁中面上剪应变的影响.与经典理论及有限单元法的结果比较,表明本文方法能够灵活、精确和有效地进行薄壁杆的稳定分析.数值算例的快速收敛说明了本文数值结果的可靠性.
According to the displacement variation principle, this paper uses a comprehensive method called spline finite element method to analyze the buckling of thin-walled compression rods with arbitrary cross-section shapes. A transformed cubic B-spline function is proposed to simulate thin-walled compression rods. Cross-sectional longitudinal warping displacement. The buckling analysis considers the influence of shear strain on the surface of the rod wall reflecting the shear hysteresis. Comparing with the classical theory and the results of the finite element method, it shows that the method can be performed flexibly, accurately and effectively. Stability analysis of wall bars. The rapid convergence of numerical examples illustrates the reliability of the numerical results in this paper.