摘要
In this paper,we prove that for holonomic nonconservative dynamical system the Poincare and Poincaré-Cartan integral invariants do not exist.Instead of them,we introduce the integral variants of Poincaré Cartan's type and of Poincaré's type for holonomie noneonservative dynamical systems,and use these variants to solve the problem of nonlinear vibration.We also prove that the integral invariants intro- duced in references[1]and[2]are merely the basic integral variants given by this paper.
In this paper,we prove that for holonomic nonconservative dynamical system the Poincare and Poincaré-Cartan integral invariants do not exist.Instead of them,we introduce the integral variants of Poincaré Cartan's type and of Poincaré's type for holonomie noneonservative dynamical systems,and use these variants to solve the problem of nonlinear vibration.We also prove that the integral invariants intro- duced in references[1]and[2]are merely the basic integral variants given by this paper.
基金
Project supported by National Natural Science Foundation of China
