Modelling and analysis of a gyrostat elastically attached to a vehicle

Zwölfer, Andreas; Bischof, Günter

doi:10.1080/00423114.2018.1489063

Cited by 2 publications

(1 citation statement)

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“…The dynamics of the rotational motion of a gyrostat are very important for some applications, such as the gyrostat system in satellite, spacecraft, aircraft, robot, vehicle and so on. 1–5 The gyrostat system has been widely investigated over the past century, and the synchronization of gyrostat systems also attracts the attention of researchers. 6–10 For the Kelvin gyrostat under small external disturbing torques, the criterion for chaotic oscillations of the attitude motions is analytically studied by the Melnikov’s integral, and the Poincaré map shows that the dynamical characteristics have the trait of chaotization.…”

Section: Introductionmentioning

confidence: 99%

Dynamics analysis of a gyrostat system with intermittent forcing

Cai

2021

Proceedings of the Institution of Mechanical Engineers, Part I:

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The dynamical characteristics of a gyrostat system with intermittent forcing are investigated, the main work and contributions are given as follows: (1) The gyrostat system with an intermittent forcing is studied, and its dynamical characteristics are investigated by the corresponding Lyapunov exponent spectrums and bifurcation diagrams with respect to the amplitude of intermittent forcing. The modified gyrostat system exists chaotic motion when the amplitude of intermittent forcing belongs to a certain interval, and it can be at a state of stable point or periodic motion by the design of amplitude. (2) The gyrostat system with multiple intermittent forcings is also investigated through the combination of Lyapunov exponent spectrums and bifurcation diagrams, and it behaves periodic motion or chaotic motion when the amplitude or forcing width is different. (3) By the selection of parameters in intermittent forcings, the modified gyrostat system is at a state of stable point, periodic motion or chaotic motion. Numerical simulations verify the feasibility and effectiveness of the modified gyrostat system.

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