摘要
本文证明,完整非保守系统不存在 Poincare-Cartan 积分不变量和 Poincare 通用积分不变量。取而代之,给出非保守系统的 Poincare-Cartan 型和 Poincare 型积分变量关系,并将这种积分变量关系用于求解非线性振动问题。我们还证明了文[1]、[2]所谓的积分不变量只是我们所引入的基本积分变量关系。
In this paper, we prove that for holonomic nonconservative dynamical systems the integral invariant of Poincare and Cartan and the universal integral invariant of Poincare do not exist. Instead of that, we introduce the integral variants of Poincare and Car-tan's type and of Poincare type for holonomic nonconservative dynamical systems, and use those variants to solve the problem of nonlinear vibration. We also prove that the integral invariants introduced in references [1] and [2] are merely the basic integral variants of this paper.
出处
《力学学报》
EI
CSCD
北大核心
1991年第5期617-625,共9页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金
关键词
非保守系统
积分不变量
integral invariant, nonconservative system
