CRITICAL DAMPING OF THE SECOND-ORDER PENDULUM-LIKE SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (1): 7-16 .

CRITICAL DAMPING OF THE SECOND-ORDER PENDULUM-LIKE SYSTEMS

李鑫滨, 黄永念, 杨莹, 黄琳

收稿日期:2003-11-15 修回日期:2004-09-25 出版日期:2005-01-18 发布日期:2005-01-18
通讯作者: 李鑫滨

CRITICAL DAMPING OF THE SECOND-ORDER PENDULUM-LIKE SYSTEMS

LI Xin-bin ,HUANG Yong-nian ,YANG Ying ,HUANG Lin

1. Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P.R.China;
2. Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, P.R.China

Received:2003-11-15 Revised:2004-09-25 Online:2005-01-18 Published:2005-01-18
Contact: LI Xin-bin

摘要/Abstract

Abstract: First,the properties of solutions of a typical second-order pendulum-like system with a specified nonlinear function were discussed.Then the case with a general form of nonlinearity is considered and its global properties were studied by using the qualitative theory of differential equations.As a result,sufficient conditions for estimating the critical damp are established,which improves the work by Leonov et al.

Key words: pendulum-like system, Lagrange stability, gradient-like behavior, limit cycles of the second kind

中图分类号:

O322
93D21

李鑫滨;黄永念;杨莹;黄琳. CRITICAL DAMPING OF THE SECOND-ORDER PENDULUM-LIKE SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(1): 7-16 .

LI Xin-bin;HUANG Yong-nian;YANG Ying;HUANG Lin. CRITICAL DAMPING OF THE SECOND-ORDER PENDULUM-LIKE SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(1): 7-16 .

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CRITICAL DAMPING OF THE SECOND-ORDER PENDULUM-LIKE SYSTEMS

CRITICAL DAMPING OF THE SECOND-ORDER PENDULUM-LIKE SYSTEMS

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