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Perturbed motions of a rotating symmetric gyrostat

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Języki publikacji
EN
Abstrakty
EN
The aim of the present paper is to provide analytical solutions for the perturbed problem of the behaviour of a symmetric gyrostat about a fixed point. This gyrostat is acted upon by a gyrostatic momentum ?,(" = 1,2,3), variable restoring moment k and perturbing moments Mi(i = 1, 2, 3). The moment k is introduced in view of the rotation of gyrostat under the action of electro-magnetic field. The solutions are achieved when the third component of the gyrostatic momentum is different from zero (?3 5^ 0). The averaging method is applied to investigate the first order approximate solutions of resonant and non-resonant cases.
Rocznik
Strony
271--271
Opis fizyczny
–-289, Bibliogr. 18 poz., wykr.
Twórcy
autor
autor
autor
  • Tanta University, Tanta, Egypt
Bibliografia
  • 1. I.G. MALKIN, Some problems in the theory of nonlinear oscillations, United States Atomie energy Commission, Technical Information Service, ABC 3766, 1959.
  • 2. R. CID and A. VIOUERAS, The analyłical theory of the earth's rotation using a symmetrical gyrostat as a model, Acad. Ciencias Zaragoza, 45, pp. 83-93, 1990. t
  • 3. R. MOLINA and V. VIGUERAS, Analyłical integrałion of a generalized Euler-Poisson problem:applications, IAV Symposium, No. 172, Paris 1995.
  • 4. F.A. EI-BARKI and A.I. ISMAIL, Limiting case for the motion of a rigid body about a fixed point in the Newtonian force field, ZAMM, 75, 11, pp. 821-829, 1995.
  • 5. D.D. LECHCHENKO, S.N. SALLAM, Perturbed rotational motions of a rigid body with mass distribution near to the case of Lagrange, Dep. Vokr NUUNTU, No 1656 ok 88, 28-06, 22, 1988.
  • 6. D.D. LECHCHENKO, S.N. SALLAM, Perturbed rotational motions of a rigid body relative to fixed point IZV. ANUSS R., Mekh. TYjord. Tela, 5, pp. 16-23, 1990.
  • 7. D.D. LECHCHENKO, S.N. SALLAM, Perturbed rotational motions of a rigid body that are close to regular precession PMM, 54, 2, pp. 224-232, 1990.
  • 8. L.D. AKULKNKO, D.D. LECHCHENKO and F.L. CHERNOUSHKO, Perturbed motions of a rigid body close to the Lagrange case, PMM, 43, 5, pp. 771-778, 1979.
  • 9. A.H. NAYFEH, Introduction to perturbation techniąues, Wiley-Interscience, New York 1981.
  • 10. A.H. NAYFEH, Perturbation methods, Wiley-Interscience, New York 1973.
  • 11. A.H. NAYFEH, Problems in perturbation, Wiley-Interscience, New York 1985
  • 12. R. CID and A. VIGUERAS, Actas IV Asamblea Nacional de Astronomia y Astrofisica, Santiago de Compostela, pp. 912, 1983 (in Spanish).
  • 13. R.F. GRANT, Analytical mechanics, Univ. of Utah, 1962.
  • 14. V.S. SEHGEEV, Periodic motions of a heavy rigid body tuith a fixed point, that is close to being dynamically symmetrical, PMM, 47, 1, pp. 163-166, 1983.
  • 15. N.N. BOGOLIUBOV and U.A. MITROPOLSKI, Asymptotic method in the theory of nonlinear oscillations [in Russian], Nauka 1974.
  • 16. V.I. ARNOL'D, Supplementary chapters in the theory of ordinary differential eąuations [in Russian], Nauka, Moscow 1970.
  • 17. V.M. VOLOSOV and B.T. MORGUNOV, Method of aueraging in the theory of nonlinear oscil-latory systems [in Russian], Moscow, IZV-VOMGU, 1971.
  • 18. V.N. KOSHLYAKOV, Some particular cases of integration of the dynamie Euler eąuations associated with motion of a gyroscope in a resistant medium, PMM 17, 2, pp. 137-148, 1953.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0063-0009
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