摘要
研究变质量特殊非完整系统与一般非完整系统的运动方程的代数结构。给出运动方程的逆变代数形式，证明变质量特殊非完整系统具有相容代数结构和Lie代数结构；变质量一般非完整系统具有相容代数结构和Lie容许代数结构。最后说明结果的应用。
The algebraic structures of the dynamical equations for the variable mass special nonholonomic sysem and ordinary nonholonomic system are studied. This work gives the contravariant forms of the motion equations, and proves the special variable mass nonholonomic systems that have consistant algebraic structure and Lie algebraic structure, and also proves the ordinary variable mass nonholonomic systems have consistant algebraic structure and Lie toleration algebraic structure. An example is illustrated at last.
出处
《电力学报》
1998年第3期168-174,共7页
Journal of Electric Power
基金
国家自然科学基金
河南省自然科学基金
关键词
分析力学
变质量
非完整系统
代数
Lie代数结构
analytical mechanics
variable mass
nonholonomic system
algebraic
Lie algebraic structure
