| 论非完整系统的Hamilton原理与完整系统的Hamilton原理的统一性 |
| |
| 引用本文： | 梁立孚,韦扬.论非完整系统的Hamilton原理与完整系统的Hamilton原理的统一性[J].应用数学和力学,1996,17(5):439-444. |
| |
| 作者姓名： | 梁立孚 韦扬 |
| |
| 作者单位： | 哈尔滨工程大学, 哈尔滨150001 |
| |
| 摘 要： | 本文通过典型实例和理论分析证明了:在有势力作用下,对于非完整系统Hamilton原理同样有像完整系统那样使Lagrange函数取驻值的形式;使Lagrange函数变分对时间积分为零的形式是前者的演变形式;因此,两种形式是统一的。
|
| 关 键 词： | 非完整系统 完整系统 Hamilton原理 真实轨道 测地轨道 |
| 收稿时间： | 1995-09-02 |
On the Unification of the Hamilton Principles in Non-Holonomic System and in Holonomic System |
| |
| Liang Lifu, Wei Yang.On the Unification of the Hamilton Principles in Non-Holonomic System and in Holonomic System[J].Applied Mathematics and Mechanics,1996,17(5):439-444. |
| |
| Authors: | Liang Lifu Wei Yang |
| |
| Institution: | Harbin Engineering University, Harbin 150001, P. R. China |
| |
| Abstract: | In this paper by means of typical engineering examples and deep theoretical analysis, we prove that under the effect of conservative force, the Hamilton principles in holonomic and non-holonomic systems have the same formula δ∫Ldt=0. The formula ∫δdt=0 is an evolved form of the formula δ∫Ldt=0. Therefore, the two formulas are unified. |
| |
| Keywords: | non-holonomic system holonomic system the Hamilton principle actual trajectory geodesic trajectory |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
