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  Far East Journal of Applied Mathematics  
 ISSN: 0972-0960
 
 
 

     Far East Journal of Applied Mathematics
    Volume 31, Issue 1, Pages 1 - 25 (April 2008)


A MATHEMATICAL MODEL OF A HELICOPTER STANDING AND ROTATING ROTOR BLADE

Moussa Sylla (Côte d’Ivoire) and Ange-Paulin R. Barou (Côte d’Ivoire)

Received December 6, 2007

References:



[1] E. Crellin and F. Janssens, Derivation and Combinations of Impedance Matrices for Flexible Satellites, European Space Agency/ ESA STR-209, November 1993.

[2] H. B. Hablani, Modal analysis of gyroscopic flexible spacecraft: a continuum approach, AIAA Journal 5(3) (1982), 448-457.

[3] P. C. Hughes, Dynamics of flexible space vehicles with active attitudes control, Celestial Mechanics, Vol. 9, 1974.

[4] L. Meirovitch, A stationarity principle for the eigenvalue problem for rotating structures, AIAA Journal 14(10) (1976), 1387-1394.

[5] L. Meirovitch and M. K. Kwak, Rayleigh-Ritz Based Structure Synthesis for Flexible Satellite European Space Agency/ ESA STR-209, November 1993.

[6] M. Pascal, Dynamics analysis of a system of hinge connected flexible bodies, Celestial Mechanics 41 (1988), 21-39.

[7] M. Pascal, Dynamical Analysis of a Manipulator Arm, Acta Astronautica 21(3) (1990), 161-169.

[8] M. Pascal, Modal analysis of a rotating flexible space station by a continuous approach, Z. Flugwiss Weltraumforsch 18 (1994), 385-401.

[9] M. Pascal, La stabilité d’attitude d’un satellite muni de panneaux solaires, Acta Astronautica 5 (1978), 817-844.

[10] M. Pascal and M. Sylla, Dynamics model of a large space structure by continuous approach, Recherche Aérospatiale 2 (1993), 67-77.

[11] D. Poelaert, Spacecraft Dynamics Analysis Using Cantilever Modes of the Appendages-Application to the Space Telescope, ESA STR 206, 1981.

[12] M. Sylla and B. Asséké, Dynamics of a rotating flexible and symmetric spacecraft using impedance matrix in terms of the flexible appendages cantilever modes, European J. Multibody Sys. Dynamics, 2008. (to appear)

[13] M. Sylla and L. Gomat, Modal analysis of a rotating flexible manipulator arm, J. de l’Union Mathematique Africaine, Afrika Matematika 19 (2008), (to appear).

[14] O. Wallrapp, J. Santos and J. Ryu, Superposition method for Stress Stiffening in Flexible Multibody Dynamics, Proc. Int. Conf. on Dynamics of Flexible Structures on Space, Cranfield, UK, CMP and Springer-Verlag, 1990, pp. 233-247.

Keywords and phrases: vibrations, flexible multibody systems, Rayleigh-Ritz method, impedance matrix, cantilever modes, rotating base cantilever modes.

 


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