广义经典力学中完整非保守系统的变分方程与积分不变量

The variational equqtions and the integral invariants for holonomic nonconservative dynamical systems in generalized classical mechanics

建立了广义完整非保守力学系统的变分方程,并利用系统的正则方程和变分方程 证明,可由第一积分直接构造系统的积分不变量．最后举例说明结果的应用。

The paper established the variational equations for holonomic nonconservative dynamical systems in generalized classical mechanics,and making use of the canonicai equations of systems and their variational equations, the paper has proved that an integral invariant can be directly comstmcted by a first integral of the systems. Finally one example is given.