| 基于解除约束原理推导一阶非完整约束系统的Lagrange方程 |
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| 引用本文： | 高普云.基于解除约束原理推导一阶非完整约束系统的Lagrange方程[J].湖南工业大学学报,2017,31(5):1-5. |
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| 作者姓名： | 高普云 |
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| 作者单位： | 国防科技大学 空天科学学院 |
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| 摘 要： | 基于解除约束原理,从达朗贝尔原理出发推导一阶非完整约束系统的运动方程。通过引进新的位移参数解除非完整约束,使非完整约束系统成为无约束系统,进而推导出系统的不带乘子的全新的Lagrange方程。
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| 关 键 词： | 解除约束 非完整约束系统 Lagrange方程 位移参数 无约束系统 |
| 收稿时间： | 2017/8/19 0:00:00 |
Derivation of Lagrange Equations of the First-Order Nonholonomic System
Based on the Principle of Removal of Constraint |
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| GAO Puyun.Derivation of Lagrange Equations of the First-Order Nonholonomic System
Based on the Principle of Removal of Constraint[J].Journal of Hnnnan University of Technology,2017,31(5):1-5. |
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| Authors: | GAO Puyun |
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| Abstract: | Based on the principle of removal of constraint, a motion equation of the first-order nonholonomic constraint system has been derived from the d''Alambert principle. By introducing new displacement parameters, the first-order nonholonomic constraints are lifted, thus making the nonholonomic system an unconstrained system, with the new Lagrange equations successfully derived without multipliers. |
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