可伸长变截面杆的弹性过屈曲模型及其数值解

An analysis of post-buckling of extensible rods with variable cross sections and clamped-simply supported ends

在Kirchhoff基本假设下,基于轴线可伸长弹性杆的几何非线性理论,建立了一端简支另一端固定夹紧变截面直杆的过屈曲控制方程,并应用打靶法直接数值求解相应的强非线性边值问题,获得了数值意义上的精确解。

On the basis of Kirchhoff’s assumption and non linearly geometrical theory of axially extensible elastic rods, the governing equations for post buckling of a clamped simply supported rod with variable cross sections are established in this paper. By using a shooting method the corresponding strongly non linear boundary value problem are solved directly and an accurate solution of it in the sense of numerical computation in obtained.