Periodic and chaotic response of a macro-scale tuning fork gyroscope
Periodic and chaotic response of a macro-scale tuning fork gyroscope
In this paper, the dynamic behaviour of a macro-scale tuning fork gyroscope is presented. The gyroscope consists of two inverted pendulums on a suspension mass. The suspension mass is subjected to force excitation generated by an electromagnetic shaker. The dynamics of the shaker are included in the analysis. It is shown that the system is a parametrically excited system. Parametric excitation can lead to vibration in the horizontal motion of the suspension mass, when the two pendulums are in phase. The problem is particularly interesting for energy harvesting. Due to the interaction between the system’s degrees of freedom, the energy is transferred from vertical (base excitation) to horizontal direction. Initial parametric studies are carried out to analyse the dynamic behaviour of the system by varying the initial conditions, base excitation frequency and amplitude. It is demonstrated that under certain parameters the system can exhibit complex dynamic behaviour such as chaotic motion.
Tuning fork gyroscope, parametric excitation, nonlinear dynamics
84-94
Ghandchi Tehrani, M.
c2251e5b-a029-46e2-b585-422120a7bc44
Silveira, M.
a6e1f486-0455-4343-8712-fea168225a9f
Balthazar, J.M.
75ac93ba-becc-471e-b398-371c1b9c1e04
Ghandchi Tehrani, M.
c2251e5b-a029-46e2-b585-422120a7bc44
Silveira, M.
a6e1f486-0455-4343-8712-fea168225a9f
Balthazar, J.M.
75ac93ba-becc-471e-b398-371c1b9c1e04
Ghandchi Tehrani, M., Silveira, M. and Balthazar, J.M.
(2016)
Periodic and chaotic response of a macro-scale tuning fork gyroscope.
Applied Mechanics and Materials, .
(doi:10.4028/www.scientific.net/AMM.849.84).
Abstract
In this paper, the dynamic behaviour of a macro-scale tuning fork gyroscope is presented. The gyroscope consists of two inverted pendulums on a suspension mass. The suspension mass is subjected to force excitation generated by an electromagnetic shaker. The dynamics of the shaker are included in the analysis. It is shown that the system is a parametrically excited system. Parametric excitation can lead to vibration in the horizontal motion of the suspension mass, when the two pendulums are in phase. The problem is particularly interesting for energy harvesting. Due to the interaction between the system’s degrees of freedom, the energy is transferred from vertical (base excitation) to horizontal direction. Initial parametric studies are carried out to analyse the dynamic behaviour of the system by varying the initial conditions, base excitation frequency and amplitude. It is demonstrated that under certain parameters the system can exhibit complex dynamic behaviour such as chaotic motion.
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Accepted/In Press date: 7 July 2016
e-pub ahead of print date: 8 August 2016
Keywords:
Tuning fork gyroscope, parametric excitation, nonlinear dynamics
Organisations:
Signal Processing & Control Grp
Identifiers
Local EPrints ID: 398160
URI: http://eprints.soton.ac.uk/id/eprint/398160
ISSN: 1660-9336
PURE UUID: 8475d40f-dad1-4a8f-af83-89481e0bcbe5
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Date deposited: 20 Jul 2016 11:05
Last modified: 15 Mar 2024 01:30
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Author:
M. Silveira
Author:
J.M. Balthazar
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