Chaotic Motion of a Symmetric Gyro Subjected to a Harmonic Base Excitation-Reference-Cited by-同舟云学术

Chaotic Motion of a Symmetric Gyro Subjected to a Harmonic Base Excitation

Published:2001-02-25 Issue:4 Volume:68 Page:681-684
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Tong X.¹,Mrad N.²

Affiliation:

1. Lucent Technologies, 480 Red Hill Road, Middletown, NJ 07724

2. Structures, Materials, and Propulsion Laboratory, Institute for Aerospace Research, National Research Council Canada, 1500 Montreal Road, Building M-3, Ottawa, Ontario K1A 0R6, Canada

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/68/4/681/5468456/660_1.pdf

Reference11 articles.

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2. Galgoni, L., Giogilli, A., and Strlcyn, J. M., 1981, “Chaotic Motions and Transition to Stochasticity in the Classical Problem of Heavy Rigid Body With Fixed Point,” Nuovo Cimento, 61, pp. 1–20.

3. Holmes, P. J., and Marsden, J. E., 1983, “Melnikov’s Method and Arnold Diffusion for Hamiltonian Systems on Lie Groups,” Indiana Univ. Math. J., 32, pp. 273–309.

4. Tong, X., and Rimrott, F. P. J., 1993, “Chaotic Attitude Motion of Gyrostat Satellites in a Central Force Field,” Nonlinear Dynamics, 4, pp. 269–291.

5. Tong, X., and Tabarrok, B., 1997, “Bifurcation of Self-Excited Rigid Bodies Subject to Small Perturbation Torques,” AIAA Journal of Guidance, Control and Dynamics, 20, pp. 123–128.

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