Skew-gradient representations of constrained mechanical systems

• Published in: Applied mathematics and mechanics Vol. 36; no. 7; pp. 873 - 882
• Main Authors: Mei, Fengxiang, Cui, Jinchao
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01.07.2015; School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China%School of Science, Jiangnan University, Wuxi 214122, Jiangsu Province, China
• Subjects: Applications of Mathematics; Birkhoff系统; Classical Mechanics; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; 完整系统; 广义哈密顿系统; 应用程序; 梯度系统; 歪斜; 稳定性; 约束机械系统; constrained mechanical system; 37J2; 37N05; integration; O316; skew-gradient system; stability
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-015-1954-9

The characteristics of stationary and non-stationary skew-gradient systems are studied. The skew-gradient representations of holonomic systems, Birkhoffian systems, generalized Birkhoffian systems, and generalized Hamiltonian systems are given. The characteristics of skew-gradient systems are used to study integration and stability of the solution of constrained mechanical systems. Examples are given to illustrate applications of the result.