Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2011, Article ID 351269, 26 pages
Research Article

Vector Rotators of Rigid Body Dynamics with Coupled Rotations around Axes without Intersection

1Mathematical Institute, SANU, 11001 Belgrade, Serbia
2Faculty of Mechanical Engineering, University of Kragujevac, 34000 Kragujevac, Serbia

Received 27 January 2011; Revised 30 May 2011; Accepted 1 June 2011

Academic Editor: Massimo Scalia

Copyright © 2011 Katica R. (Stevanović) Hedrih and Ljiljana Veljović. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Adi, An Overview of Optical Gyroscopes, Theory, Practical Aspects, Applications and Future Trends, 2006. View at Zentralblatt MATH
  2. A. Ančev and V. V. Rumjancev, “On the dynamics and stability of gyrostats,” Advances in Mechanics, vol. 2, no. 3, pp. 3–45, 1979 (Russian). View at Google Scholar
  3. V. V. Rumjancev, “On stability of rotation of a heavy rigid body with one fixed point in S. V. Kovalevskaya's case,” Akademia Nauk SSSR. Prikladnaya Matematika i Mekhanika, vol. 18, pp. 457–458, 1954 (Russian). View at Google Scholar
  4. V. V. Rumjancev, “On the stability of motion of gyrostats,” Journal of Applied Mathematics and Mechanics, vol. 25, pp. 9–19, 1961 (Russian). View at Publisher · View at Google Scholar
  5. V. V. Rumjancev, “Stability of rotation of a heavy gyrostat on a horizontal plane,” Mechanics of Solids, vol. 15, no. 4, pp. 11–22, 1980. View at Google Scholar · View at Scopus
  6. F. Ayazi and K. Najafi, “A HARPSS polysilicon vibrating ring gyroscope,” Journal of Microelectromechanical Systems, vol. 10, no. 2, pp. 169–179, 2001. View at Publisher · View at Google Scholar · View at Scopus
  7. A. Banshchikov, Analysis of Dynamics for a Satellite with Gyros with the Aid of to Software Lin Model, Institute for System Dynamics and Control Theory, Siberian Branch of the Russian Academy of the Sciences, Russia.
  8. A. Burg, A. Meruani, B. Sandheinrich, and M. Wickmann, MEMS Gyroscopes and Their Applications, A Study of the Advancements in the Form, Function, and Use of MEMS Gyroscopes, ME-38/ Introduction to Microelectromechanical System.
  9. E. Butikov, “Inertial rotation of a rigid body,” European Journal of Physics, vol. 27, no. 4, pp. 913–922, 2006. View at Publisher · View at Google Scholar · View at Scopus
  10. K. L. Cavalca, P. F. Cavalcante, and E. P. Okabe, “An investigation on the influence of the supporting structure on the dynamics of the rotor system,” Mechanical Systems and Signal Processing, vol. 19, no. 1, pp. 157–174, 2005. View at Publisher · View at Google Scholar
  11. W. Flannely and J. Wilson, Analytical Research on a Synchronous Gyroscopic Vibration Absorber, Nasa CR-338, National Aeronautic and Space Administration, 1965.
  12. P. W. Forder, “Inertial rotation sensing in three dimensions using coupled electromagnetic ring-gyroscopes,” Measurement of Science and Technology, vol. 6, no. 12, pp. 1662–1670, 1995. View at Publisher · View at Google Scholar · View at Scopus
  13. Y. Z. Liu and Y. Xue, “Drift motion of free-rotor gyroscope with radial mass-unbalance,” Applied Mathematics and Mechanics (English Edition), vol. 25, no. 7, pp. 786–791, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  14. Y. A. Karpachev and D. G. Korenevskii, “Single-rotor aperiodic gyropendulum,” International Applied Mechanics, vol. 15, no. 1, pp. 74–76.
  15. R. M. Kavanah, “Gyroscopes for orientation and Inertial navigation systems,” Cartography and Geoinformation, vol. 6, pp. 255–271, 2007, KIG 2007, Special issue. View at Google Scholar
  16. A. A. Andonov, A. A. Vitt, and S. E. Haykin, Teoriya Kolebaniy, Nauka, Moskva, Russia, 1981.
  17. K. Hedrih (Stevanović), “On some interpretations of the rigid bodies kinetic parameters,” in Proceedings of the 18th International Congress of Theoretical and Applied Mechanics (ICTAM '92), pp. 73–74, Haifa, Israel, August 1992.
  18. K. Hedrih (Stevanovic), “Same vectorial interpretations of the kinetic parameters of solid material lines,” Zeitschrift für Angewandte Mathematik und Mechanik, vol. 73, no. 4-5, pp. T153–T156, 1993. View at Publisher · View at Google Scholar
  19. K. Hedrih (Stevanović), “The mass moment vectors at an n-dimensional coordinate system,” Tensor, vol. 54, pp. 83–87, 1993. View at Google Scholar
  20. K. Hedrih (Stevanović), Vector Method of the Heavy Rotor Kinetic Parameter Analysis and Nonlinear Dynamics, Monograph, University of Niš, 2001.
  21. K. Hedrih (Stevanović), “Vectors of the body mass moments,” in Topics from Mathematics and Mechanics, vol. 8, pp. 45–104, Zbornik radova, Mathematical institute SANU, Belgrade, Serbia, 1998. View at Google Scholar · View at Zentralblatt MATH
  22. K. Hedrih (Stevanović), “Derivatives of the mass moment vectors at the dimensional coordinate system N, dedicated to memory of Professor D. Mitrinović,” Facta Universitatis. Series: Mathematics and Informatics, no. 13, pp. 139–150, 1998. View at Google Scholar · View at Zentralblatt MATH
  23. D. Raškovic, Mehanika III—Dinamika (Mechanics III—Dynamics), Naučna knjiga, 1972.