| 论非完整系统的Hamilton原理与完整系统的Hamilton原理的统一性 |
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| 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 |
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| 作者姓名： | 梁立孚 韦扬 |
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| 作者单位： | 哈尔滨工程大学, 哈尔滨150001 |
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| 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。
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| 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 |
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| 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 |
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| Authors: | Liang Lifu Wei Yang |
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| Affiliation: | Harbin Engineering University, Harbin 150001, P. R. China |
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| 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. |
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| Keywords: | non-holonomic system. holonomic system the Hamilton principle actual trajectory geodesic trajectory |
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