ABOUT THE BASIC INTEGRAL VARIANTS OF HOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS

查看全文 作　　者：Liu Duan Luo Yong (Beijing Institute of Technology)Xin Shenyu (P.O.Box 22,Datong,Shanxi) 出　　处：《Acta Mechanica Sinica》索引1991年第7卷第2期,共8页 基　　金：Project supported by National Natural Science Foundation of China 摘　　要：In this paper,we prove that for holonomic nonconservative dynamical system the Poincareand Poincaré-Cartan integral invariants do not exist.Instead of them,we introduce the integral variants ofPoincaré Cartan’s type and of Poincaré’s type for holonomie noneonservative dynamical systems,and usethese 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. 关 键 词：INTEGRAL INVARIANT NONCONSERVATIVE system