| Hamilton体系下的辛-Fourier展开法及其应用 |
| |
| 引用本文： | 李天彦,任文秀,康周正.Hamilton体系下的辛-Fourier展开法及其应用[J].哈尔滨师范大学自然科学学报,2009,25(5):49-53. |
| |
| 作者姓名： | 李天彦 任文秀 康周正 |
| |
| 作者单位： | 1. 内蒙古工业大学;哈尔滨师范大学
2. 内蒙古工业大学 |
| |
| 基金项目： | 内蒙古自治区自然科学基金，内蒙古工业大学校重点基金 |
| |
| 摘 要： | 采用无穷维Hamilton理论和广义Fourier方法对四阶梁横向振动问题进行求解，获得了解析解．同时证明了相应的无穷维Hamilton算子特征函数系的完备性．
|
| 关 键 词： | 辛-Fourier展开法 辛正交 无穷维Hamilton正则形式 完备性 |
The Method of Symplectic-fourier Expansion and Its Application Under the Hamiltonian System |
| |
| Li Tianyan,Ren Wenxiu,Kang Zhouzheng.The Method of Symplectic-fourier Expansion and Its Application Under the Hamiltonian System[J].Natural Science Journal of Harbin Normal University,2009,25(5):49-53. |
| |
| Authors: | Li Tianyan Ren Wenxiu Kang Zhouzheng |
| |
| Institution: | Li Tianyan , Ren Wenxiu , Kang Zhouzheng(1.Inner Mongolia University of Technology; 2. Harbin Normal University) |
| |
| Abstract: | With combining the theory of infinite dimensional Hamihonian and method of symplectic - fourier expan- sion, we solve the horizontal vibration equation of the beam . At the same time. we prove the completeness property of the eigenfunction systems of the corresponding infinite dimensional Hamilton operator. |
| |
| Keywords: | Method of symplectic - fourier expansion Symplectic orthrogonal Infinite dimensional Ham-iltonian canonical form Completeness property |
| 本文献已被 维普 万方数据 等数据库收录！ |
