The dual Euler basis: Constraints, potentials, and Lagrange's equations in rigid-body dynamics

被引：13

作者：

O'Reilly, Oliver M. ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 2007年 / 74卷 / 02期

关键词：

D O I：

10.1115/1.2190231

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Given a specific set of Euler angles, it is common to ask what representations conservative moments and constraint moments possess. In this paper we discuss the role that a non-orthogonal basis, which we call the dual Euler basis, plays in the representations. The use of the basis is illustrated with applications to potential energies, constraints, and Lagrange's equations of motion.

引用

页码：256 / 258

页数：3

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