摘要
利用微分方程在无限小变换下的不变性建立了Lie对称性所满足的确定方程 ,给出了结构方程和守恒量 ,并讨论了系统的Lie对称逆问题 ,给出了应用实例。
Lie symmetry and conserved quantity of nonholonomic system of no Chetaev's type are studied with unilateral constraints of variable mass. By using the invariance of the ordinary differential equations under the infinitesimal transformation, the determining equations and the restriction of the Lie symmetry of the system are established, and the structure equation and conserved equation are obtained. The inverse problem of Lie symmetry is discussed. An example is given to illustrate the application of the result.
出处
《石油大学学报（自然科学版）》
CSCD
2000年第5期105-108,共4页
Journal of the University of Petroleum,China(Edition of Natural Science)
基金
高校博士点专项基金
关键词
变质量
非完整系统
对称性
守恒量
非Cheteav型
analytical mechanics
variable mass
unilateral constraint
nonholonomic system
Lie symmetry
conserved quantity
