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.
Chaotic Motion of a Symmetric Gyro Subjected to a Harmonic Base Excitation
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, July 22, 1997; final revision, Feb. 25, 2001. Associate Editor: A. A. Ferri.
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Tong , X., and Mrad , N. (February 25, 2001). "Chaotic Motion of a Symmetric Gyro Subjected to a Harmonic Base Excitation ." ASME. J. Appl. Mech. July 2001; 68(4): 681–684. https://doi.org/10.1115/1.1379036
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