ON THE TRANSITIVITY EQUATIONS OF RIGID-BODY DYNAMICS

被引：4
|
作者：
PAPASTAVRIDIS, JG
机构：
[1] School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA
来源：
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1992年 / 59卷 / 04期
关键词：
Analytical mechanics - Eulerian - Eulerian equations - Hamiltons - Holonomic - Nonholonomics - Rigid body kinematics - Rigidbody dynamics;
D O I：
10.1115/1.2894066
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This paper presents direct derivations of the various forms of the famous transitivity equations of rigid-body kinematics from a simple and unified viewpoint. These forms are indispensable in the derivation of the Eulerian (gyro) equations of motion via the Lagrangean (analytical mechanics) method. Both true (holonomic) and quasi (nonholonomic) coordinate forms are presented. A vectorial derivation of the Eulerian equations from the Central Equation and from Hamilton's Principle is also included in the Appendix.
引用
收藏
页码：955 / 962
页数：8
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