Chaotic motion of a symmetric gyro subjected to a harmonic base excitation

被引：47

作者：

Tong, X

Mrad, N

机构：

[1] Lucent Technol, Middletown, NJ 07724 USA

[2] Natl Res Council Canada, Inst Aerosp Res, Struct Mat & Prop Lab, Ottawa, ON K1A 0R6, Canada

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 2001年 / 68卷 / 04期

关键词：

D O I：

10.1115/1.1379036

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Chaotic motion of a symmetric gyro subjected to a harmonic base excitation is investigated in this note. The Melnikov method is applied to show that the system possesses a Smale horse when it is subjected to small excitation. The transition from regular motion to chaotic motion is investigated through numerical integration in conjunction with Poincare map. It is shown that as the spin velocity increases, the chaotic motion turns into a regular motion.

引用

页码：681 / 684

页数：4

共 11 条

[1] CHAOTIC MOTIONS AND TRANSITION TO STOCHASTICITY IN THE CLASSICAL PROBLEM OF THE HEAVY RIGID BODY WITH A FIXED-POINT [J].