| 用椭圆积分法求解轴线可伸长梁的弹性曲线 |
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| 引用本文： | 李世荣,宋曦,张靖华.用椭圆积分法求解轴线可伸长梁的弹性曲线[J].兰州理工大学学报,2003,29(4):137-139. |
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| 作者姓名： | 李世荣 宋曦 张靖华 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050 |
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| 基金项目： | 科技部基础研究重大项目前期预研专项基金(2001CCA04300) |
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| 摘 要： | 基于轴线可伸长梁(杆)的几何非线性控制方程,采用椭圆积分法推导出了两端简支梁过屈曲状态的解析解,给出了更为精确的载荷 变形特征关系.其中反映了梁的长细比对过屈曲变形的影响.结果表明,当长细比趋近于无穷大时轴线不可伸长假设才精确成立.
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| 关 键 词： | 轴线伸长 弹性梁 过屈曲 椭圆积分 |
| 文章编号： | 1000-5889(2003)04-0137-03 |
| 修稿时间： | 2002年12月23 |
Elastica of beams with extensible axis derived by elliptical integration |
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| LI Shi-rong,SONG Xi,ZHANG Jing-hua.Elastica of beams with extensible axis derived by elliptical integration[J].Journal of Lanzhou University of Technology,2003,29(4):137-139. |
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| Authors: | LI Shi-rong SONG Xi ZHANG Jing-hua |
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| Abstract: | Based on the geometrically nonlinear governing equations of extensible beams/rods, an analytical solution for the post-buckling of a simply supported beam is derived by using elliptical integral method. More accurate characteristic relationships between the load and the deformations are presented, in which the influence of the slenderness on the buckling deformations are illustrated. The results show that the axially inextensible assumption of the beam comes absolutely true only when the slenderness approaches to the limit of infinity. |
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| Keywords: | axial extensibility elastic beam post-buckling elliptical integration |
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