Chaos analysis in attitude dynamics of a satellite with two flexible panels

Chegini, Mohammadreza; Sadati, Hossein

doi:10.1016/j.ijnonlinmec.2018.04.009

Cited by 9 publications

(4 citation statements)

References 23 publications

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“…When deriving equations of motion of multibody systems, an important consideration is to determine what analytical method to use to arrive at the equations. A variety of methods are used in these dynamic modeling approaches, 24 including Lagrangian equations, 25 Hamilton principle, 26 Newton-Euler equations, 27 the virtual work principle, 28 Kane method, 2 and Gibbs-Appell formulation. 29 Each has its own advantages and disadvantages.…”

Section: Introductionmentioning

confidence: 99%

Recursive dynamic modeling for attitude control of fully flexible spacecraft with central body and appendages

Wang,

Wang

2024

Advances in Mechanical Engineering

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A spacecraft composed of a central body and flexible appendages is a typical rigid-flexible coupling system. Current modeling methods generally regard the central body as rigid. As the central body becomes larger and more flexible, the elastic deformation of the central body may not be ignored. In this study, considering the flexibility effect of the central body and based on the recursive kinematics, a complete coupled dynamic model of the orbit, attitude, and elastic deformation of a fully flexible spacecraft is established. Compared with traditional methods, the model has smaller generalized coordinate dimension and can more clearly reveal the kinematic relationship between the appendages and the central body. By comparing the simulation results of typical working conditions with the ADAMS software, the correctness of the built model is verified. The PD controller for the attitude of the spacecraft is used, and three models of different rigid/flexible settings are compared in detail. The dynamic response of the system in uncontrolled and controlled states are discussed. Numerical simulation results show that the flexibility of the central body poses a certain influence on the attitude response of the spacecraft, the flexible vibration of the appendages, and the attitude control accuracy.

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Section: Introductionmentioning

confidence: 99%

Recursive dynamic modeling for attitude control of fully flexible spacecraft with central body and appendages

Wang,

Wang

2024

Advances in Mechanical Engineering

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“…Geometric nonlinearity caused by the elastic deformation of mechanism rods can cause the mechanism to behave chaotically. At present, the methods of analyzing chaotic motion of a system include the time history method, phase diagram method, Poincaré mapping method, and maximum Lyapunov exponent method [1][2][3][4]. It is therefore necessary to study the dynamic response and the chaotic behavior of controllable flexible robots, and establish the dynamic performance design theory of this type of robot, which will help to obtain further characteristics of the nonlinear dynamic behavior of this system and reveal its abnormalities [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Response and Chaotic Behavior of a Controllable Flexible Robot

Ban

Cai

Wei

et al. 2021

Preprint

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Flexible robots with controllable mechanisms have advantages over common tandem robots in vibration magnitude, residual vibration time, working speed, and efficiency. However, abnormal vibration can sometimes occur during their use, affecting their normal operation. In order to better understand the causes of this abnormal vibration, our work takes a controllable flexible robot as a research object, and uses a combination of Lagrangian and finite element methods to establish its nonlinear elastic dynamics. The effectiveness of the model is verified by comparing the frequency of the numerical calculation and the test. The time-domain diagram, phase diagram, Poincaré map, and maximum Lyapunov exponent of the elastic motion of the robot wrist are studied, and the chaotic phenomena in the system are identified through the phase diagram, Poincaré map, and the maximum Lyapunov exponent. The relationship between the parameters of the robot motion and the maximum Lyapunov exponent is discussed, including trajectory angular speed and radius. The results show that chaotic behavior exists in the controllable flexible robot, and that trajectory angular speed and radius all have an influence on the chaotic motion, which provides a theoretical basis for further research on the control and optimal design of the mechanism.

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“…Consequently, the chaotic dynamics of spacecraft can be better stabilized in the accurate mission of satellite due to the appropriate performance of the controller system. 12–15…”

Section: Introductionmentioning

confidence: 99%

“…Consequently, the chaotic dynamics of spacecraft can be better stabilized in the accurate mission of satellite due to the appropriate performance of the controller system. [12][13][14][15] The structure for the multi-body dynamics of GS is so complex. Moreover, adding the translational motion of the GS into the spin model further increases the complexity in the system.…”

Section: Introductionmentioning

confidence: 99%

Melnikov-based analysis for chaotic dynamics of spin-orbit motion of a gyrostat satellite

Abtahi

2019

Proceedings of the IMechE

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Interactions of the orbital motion on attitude dynamics of the gyrostat satellite are considered in this paper. The mathematical model is derived using the Hamiltonian method for the spin-orbit motion of the spacecraft followed by the reduction of the coupled equations of motion using the extended Deprit canonical transformation. The analytical Melnikov method is used innovatively to study chaos on the complex Spin-Orbit dynamics of the gyrostat satellite. Also, the numerical methods such as Lyapunov exponent criterion, Poincaré section, trajectories of phase portrait, and the time–history responses can be proved the heteroclinic bifurcation and chaotic vibrations in the highly nonlinear system. Using the results based on the Melnikov integral, the parameters of the spacecraft including the mass and inertia moment of satellite with respect to the altitude of orbit can be designed in order to control the bifurcation with a view to prevention of chaos in the system in the absence of an active control system.

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Chaos analysis in attitude dynamics of a satellite with two flexible panels

Cited by 9 publications

References 23 publications

Recursive dynamic modeling for attitude control of fully flexible spacecraft with central body and appendages

Recursive dynamic modeling for attitude control of fully flexible spacecraft with central body and appendages

Dynamic Response and Chaotic Behavior of a Controllable Flexible Robot

Melnikov-based analysis for chaotic dynamics of spin-orbit motion of a gyrostat satellite

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