| 非惯性系动力学的新型变分原理 |
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| 引用本文： | 罗绍凯,苏正雷.非惯性系动力学的新型变分原理[J].信阳师范学院学报(自然科学版),1993,6(1):54-71. |
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| 作者姓名： | 罗绍凯 苏正雷 |
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| 摘 要： | 本文构造了力学系统相对于非惯性系运动的Lagrange函数、Gibbs—Appell函数和Tzenoff函数;定义了m次相对速度空间,从非惯性系动力学的万有D＇Alembert原理出发,建立了广义坐标和准坐标下非惯性动力学系的广义Lagrange形式、广义Nielsen形式、广义Mangeron形式、广义M.Dusan—R.Lazar形式、广义Appell形式以及广义Tzenoff形式的微分变分原理,并建立了非惯性系动力学的一系列新型积分分变原理.最后,讨论得到非惯性系动力学多种形式的Gauss原理、Jourtain原理和D＇Alembert原理以及Hamilton原理.
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| 关 键 词： | 变分原理 分析力学 非惯性系统 |
NEW VARIATION PRINCIPLES IN NONINERTIAL SYSTEM DYNAMICS |
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| Luo Shaokai Su Zhenglei.NEW VARIATION PRINCIPLES IN NONINERTIAL SYSTEM DYNAMICS[J].Journal of Xinyang Teachers College(Natural Science Edition),1993,6(1):54-71. |
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| Authors: | Luo Shaokai Su Zhenglei |
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| Institution: | Luo Shaokai Su Zhenglei |
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| Abstract: | The Lagrange, Gibbs-Appell and Tzenoff functions of mechanical system relative to noninertial reference frame are constructed, the m-order relative velocity space is defined.The differential variation principle of general ized Lagrange, M. Dusan-R.Lazar, Appell and Tzenoff forms for noninertial sy-stem dynamics in generalized coordinates and quasi-coordinates are established. And a scrial of new integral variation princ-iples in noninertial system dynamics are obtained. Finally,a serial of Gauss, Jourdain, D Alembert and Hami11on principles in noninertial system dynamics are obtained. |
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| Keywords: | variation principle noninertial reference frame ( or system) m-order relative velocity space nonholonomic constraint analytical mechanics |
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