| 点间隙约束下轴向受压弹性梁的过屈曲 |
| |
| 引用本文： | 郭锐,李世荣,张靖华.点间隙约束下轴向受压弹性梁的过屈曲[J].甘肃科学学报,2010,22(4):96-99. |
| |
| 作者姓名： | 郭锐 李世荣 张靖华 |
| |
| 作者单位： | 兰州理工大学理学院,甘肃兰州730050 |
| |
| 基金项目： | 国家自然科学基金项目，教育部博士点基金项目，甘肃省自然科学基金项目 |
| |
| 摘 要： | 基于轴向可伸缩Euler-Bernoulli梁的过屈曲精确数学模型,采用打靶法研究了点间隙约束下两端夹紧和简支弹性梁在轴向机械载荷作用下的过屈曲.着重讨论了梁的中点挠度达到给定间隙值而受到点约束后的弹性梁的过屈曲变形和内力的变化特征,给出与中点约束力相关的平衡构形和平衡路径.
|
| 关 键 词： | 弹性梁 打靶法 间隙点约束 过屈曲 |
Post-Buckling of Axially Compressed Elastic Beams under Point Space-Constraint |
| |
| GUO Rui,LI Shi-rong,ZHANG Jing-hua.Post-Buckling of Axially Compressed Elastic Beams under Point Space-Constraint[J].Journal of Gansu Sciences,2010,22(4):96-99. |
| |
| Authors: | GUO Rui LI Shi-rong ZHANG Jing-hua |
| |
| Institution: | (School of Sciences, Lanzhou University of Science and Technology, Lanzhou 730050, China) |
| |
| Abstract: | Based on the geometrically nonlinear theory for extensional Euler-Bernoulli beams and by using the numerical shooting method, the post-buckling behavior of axially compressed elastic beams with clamped-clamped and hinged-hinged ends and a middle point space-constraint are studied. Especially, the variational characteristics of the mechanical post-buckling deformation and the internal force of the beam are discussed after its middle point deflection reaches the gap value and the constraint force arises. Curves of equilibrium paths and configurations of the beams depending on the middle point constraint force are given. |
| |
| Keywords: | elastic beam shooting method point space-constraint post-buckling |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
