Mathematical Modelling of a Rotating Deformable Space Vehicle Lace Attitude Motions
Keywords:
vibration, global mode, spectral expansion, impedance function.Abstract
A rotating elastic space vehicle composed of a central rigid body connected to two solar arrays, subjected to external torques, is studied using the spectral expansion continuum method of Rayleigh-Ritz. The lace attitudes motion of the rotating space vehicle can be described by a linear combination of the global modes different from the usual ordinary modes. By application of the spectral expansion continuum approach of Rayleigh-Ritz, the impedance function of the space vehicle in terms of the global modes of the whole system is derived. The numerical simulation of these global modes of great interest in this study, are performed by means of this impedance function relating the external torques to the rotating space vehicle lace attitudes.
References
H. B. Hablani. "Modal Analysis of Gyroscopic Flexible Spacecraft, a Continuum Approach." J. Guid 5 (5), pp. 448 – 457, 1982.
P. C. Hughes. "Dynamics of Flexible Space Vehicles with Active Attitudes Control." Celest. Mech. 9, pp. 21-39, 1974.
L. Meirovitch. "A Stationary Principle for the Eigenvalue Problem for Rotating Structures." AIAAJ. 14 (10), pp. 1387 – 1394, 1976.
M. Pascal. "Modal Analysis of a Rotating Flexible Space by a Continuum Approach." Z. Flug – wiss. Weltraumforsch. 18, pp. 395 – 401, 1994.
M. Pascal, M. Sylla. "Dynamic Model of a Large Space Structure by a Continuous Approach." Recherche Aerospatiale N° 2, pp. 67 – 77, 1993.
A. Sandu, D. Negrut, E. J. Haug, F.A. Potra, C. Sandu. "A Rosenbrock-Nystrom State Space Implicit Approach for the Dynamic Analysis of Mechanical System." Theoretical Formulation, J. Multibody Dyn. 217(4), 263 – 271, 2003.
M. Sylla. "Spectral Decomposition Analysis Using the Global Modes of a Rotating Elastic Space Vehicle." Far East Journal of applied Mathematics 37(1), pp. 69 – 89, 2009.
M. Sylla and B. Asseke. "Dynamics of a Rotating Flexible and Symmetric Spacecraft Using Impedance Matrix in Terms of the Flexible Appendages Cantilever Modes." Multibody System Dynamics. 19, pp. 345 – 364, 2008.
M. Sylla and R. A. P. Barou. "A Mathematical Model of a Helicopter Standing and Rotating Rotor Blade." Far East Journal of applied Mathematics. 31(1), pp. 1 – 25, 2008.
M. Sylla, M. Dosso and R. A. P. Barou. "Dynamical Analysis of a Flexible Mechanism by a Continuum Approach Using the Rotating Base Cantilever Modes." Far Fast Journal of Applied Mathematics. 33(2), pp. 187 – 204, 2008.
M. Sylla and L. Gomat. "Modal Analysis of a Rotation Flexible Manipulator Arm." Afrika Matematika. Serie 3(19), 7 – 28, 2008.
M. Sylla and S. J. M. KOUASSI. "Method of Modal Synthesis in the Dynamics of a Deformable Spatial Structure." Far East Journal of Dynamical Systems Volume 30(3), 103-133, 2018.
M. Pascal. "La Stabilité d'Attitude d'un Satellite Muni de Panneaux Solaires." Acta Astronaut. 5, pp. 817 – 844, 1978.
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