变质量非线性非完整系统的积分不变量

Integral Invariant in Variable Mass Nonlinear Nonholonomic Systems

本文研究变质量非线性非完整系统的积分不变量理论.首先,给出变质量非线性非完整非保宁系统的正则方程;其次,研究系统作用量的非等时变分;而后,建立系统的基本积分变量关系,给出其保守力学系统的Poincare＇-Cartan积分不变量和Poincare＇通用积分不变量.

This paper studies integral invariant theory in Variable mass nonlinear nonholonolmic system. First, the canonical equations of variable mass nonlinear nonholonomic nonconser-vative system are obtained. And then, the nonisochronic variation of action are studied. Finally, the basic integral variants in variable mass nonlinear nonholonomic nonconservative system are extended; and the integral invariant of poincare and Cartan and the universal inte gral invariant of poincare are obtained.