| 高阶非完整约束系统相对于非惯性系的广义Noether定理 |
| |
| 引用本文： | 罗绍凯. 高阶非完整约束系统相对于非惯性系的广义Noether定理[J]. 贵州大学学报(自然科学版), 1991, 0(2) |
| |
| 作者姓名： | 罗绍凯 |
| |
| 作者单位： | 河南商丘师专 商丘 |
| |
| 摘 要： | 本文构造了力学系统相对于非惯性参考系的Lagrange函数,在m次速度空间中建立了任意阶非线性非完整非保守力学系统相对于非惯性参考系的万有D′Alembert-Lagrange变分原理,提出并证明了任意阶非线性非完整非保守力学系统相对于非惯性系的广义Noether定理,研究了其守恒量,并加以讨论。
|
| 关 键 词： | 非惯性参考系 高阶非完整约束 动力学守恒律 Noether定理 |
Generalized Noether Theorem of High-Order Nonholonomic Constraints Systems in Noninertial Reference Frames |
| |
| Luo Shaokai Shangqiu Teachers College,Henan. Generalized Noether Theorem of High-Order Nonholonomic Constraints Systems in Noninertial Reference Frames[J]. Journal of Guizhou University(Natural Science), 1991, 0(2) |
| |
| Authors: | Luo Shaokai Shangqiu Teachers College Henan |
| |
| Affiliation: | Luo Shaokai Shangqiu Teachers College,Henan,476000 |
| |
| Abstract: | The Lagrange's function of mechanical system in general noninertial reference frames was constructed, and the universal D' Alembert-Lagrange's principle of high-order nonlinear nonholonomic nonpotential systems in m-order veloc- ity space of general noninertial reference frames were obtained; then, the generalized Noether theorem of high-order nonlinear nonholonomic nonpotential systems in general noninertial reference frames were derived, it's conservation laws were studied. All Noeth- er theorems and conservation laws in inertial reference frames are special cases of the generalized Noether theorem obtained. |
| |
| Keywords: | noninertial reference frames high-order nonholonomic constraint dy-namics conservation law Noether theorem |
| 本文献已被 CNKI 等数据库收录！ |
