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| 受径向约束细长水平管柱的正弦屈曲 | |
| 引用本文： | 刘凤梧,高德利,徐秉业.受径向约束细长水平管柱的正弦屈曲[J].工程力学,2002,19(6):44-48. |
| 作者姓名： | 刘凤梧 高德利 徐秉业 |
| 作者单位： | 1. 清华大学汽车安全与节能国家重点实验室 2. 石油大学石油工程系,北京100083 3. 清华大学工程力学系,北京100084 |
| 基金项目： | 国家杰出青年科学基金项目(59825115) |
| 摘 要： | 本文首先利用能量变分原理得到了受径向约束水平受压管柱的屈曲微分方程及其应满足的端部边界条件。通过能量方法得到了管柱处于正弦屈曲状态时变形与载荷的关系,并证明了正弦屈曲中管柱的平衡状态是稳定的;求出了初始正弦屈曲的临界载荷和能保持正弦屈曲状态的最大载荷。屈曲微分方程的数值结果与理论解有良好的一致性。 |
| 关 键 词： | 非线性微分方程 正弦屈曲 管柱屈曲 后屈曲 |
| 文章编号： | 1000-4750(2002)06-044-05 |
AN ANALYSIS OF SINUSOIDAL BUCKLING OF LONG TUBULARS SUBJECT TO RADIAL CONSTRAINT |
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| LIU Feng-wu,GAO De-li,XU Bing-ye.AN ANALYSIS OF SINUSOIDAL BUCKLING OF LONG TUBULARS SUBJECT TO RADIAL CONSTRAINT[J].Engineering Mechanics,2002,19(6):44-48. | |
| Authors: | LIU Feng-wu GAO De-li XU Bing-ye |
| Affiliation: | LIU Feng-wu1,GAO De-li2,XU Bing-ye3 |
| Abstract: | The differential equation for buckling of tubulars in horizontal holes under axial loads and the two end conditions that the equation should be satisfied are derived by energy variation principle. The deformation functions in sinusoidal buckling process of buckled tubular are determined by the energy method. It is proved that the equilibrium of buckled tubular is stable in the sinusoidal buckling process. Based on the theoretical method, the initial critical sinusoidal buckling load and the maximum load maintaining the sinusoidal buckling are determined. Numerical results are shown to be in good agreement with the theoretical predicfions. |
| Keywords: | non-linear differential equation tubular buckling post-buckling sinusoidal buckling |
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