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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
【摘要】 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。
【Abstract】 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.
【关键词】 变截面杆;
过屈曲;
打靶法;
数值解;
【Key words】 rod with variable cross sections; post buckling; shooting method; numerical solution;
【Key words】 rod with variable cross sections; post buckling; shooting method; numerical solution;
【基金】 原机械工业部教育司基金
- 【文献出处】 计算力学学报 ,CHINESE JOURNAL OF COMPUTATIONAL MECHANICS , 编辑部邮箱 ,2000年01期
- 【分类号】O343
- 【被引频次】14
- 【下载频次】166