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| 气体钻井钻柱轴扭耦合动态屈曲数学建模与求解 | |
| 引用本文： | 孟庆华,刘清友. 气体钻井钻柱轴扭耦合动态屈曲数学建模与求解[J]. 数学的实践与认识, 2011, 41(15) |
| 作者姓名： | 孟庆华 刘清友 |
| 作者单位： | 1. 天津体育学院体育文化传媒系,天津300381;西南石油大学油气藏地质及开发工程国家重点实验室,四川成都610500 2. 西南石油大学油气藏地质及开发工程国家重点实验室,四川成都,610500 |
| 基金项目： | 国家自然科学基金(50474040,50674078); 高校博士点专项基金(20050615003) |
| 摘 要： | 针对钻柱轴扭耦合动态屈曲的基本问题构造哈密顿体系,在辛几何空间中将临界屈曲载荷和动态屈曲模态归结为辛本征值和本征解问题,从而形成一种辛几何算法.方法较好的解决了钻柱轴扭耦合动态屈曲的复杂边界条件问题.在解决气体钻井钻柱动态屈曲问题的研究中具有良好的应用前景. |
| 关 键 词： | 气体钻井 钻柱屈曲 轴扭耦合 哈密顿体系 辛算法 |
Establishment of Extensional-Torsional Coupled Dynamic Buckling Mathematical Model of Drilling String in Gas Drilling and Its Solution |
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| MENG Qing-hua,LIU Qing-you. Establishment of Extensional-Torsional Coupled Dynamic Buckling Mathematical Model of Drilling String in Gas Drilling and Its Solution[J]. Mathematics in Practice and Theory, 2011, 41(15) | |
| Authors: | MENG Qing-hua LIU Qing-you |
| Affiliation: | MENG Qing-hua~(1,2),LIU Qing-you~2 (1.Tianjin University of Sport,Department of Sport Culture Media,Tianjin 300381,China) (2.Southwest Petroleum University,State Key Lab of Oil and Gas Reservoir Geology and Exploitation,Chengdu 610500,China) |
| Abstract: | The paper established the Hamiltonian system to extensional-torsional coupled dynamic buckling of drilling string,the critical buckling load and dynamic buckling modal were come down to sympletic eigen-value and sympletic eigen-solution in symplectic geometry space,consequently,there became a kind of symplectic geometry algorithm,which can resolve better the complex boundary conditions of extensional-torsional coupled buckling of drilling string,there have good application prospects to solve dynamic bucklin... |
| Keywords: | gas drilling drilling string buckling extensional-torsional coupled Hamiltonian system symplectic geometry algorithm |
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