摘要
对受完整外在约束并用奇异Lagrange量描述的广义力学系统,在充分考虑外在约束与系统的固有约束 的基础上,导出了完整外在约束奇异Lagrange量系统的正则方程;分析该系统在相空间中的对称性质,导出了相 应的正则Noether定理及该完整约束奇异Lagrange量系统的Poincare'-Cartan积分不变量．
For a constrained generalized mechanical system with subsidiary holonomic constraints, based on holonomic constraint conditions and to take the inherent constrains into account, the generalized canonical e-quations are formulated. The canonical symmetries in phase space for such a system are studied and Noether theorem in the generalized canonical formalism and the generalized Poincare-Cartan integral invariant have been established.
出处
《北京工业大学学报》
CAS
CSCD
北大核心
2005年第S1期103-107,111,共6页
Journal of Beijing University of Technology
关键词
完整外在约束
奇异Lagrange量
正则对称性
subsidiary holonomic constrains
singular Lagrangian
the canonical sysmmetry
properties
