Abstract

Research Article

Gyroscope oscillation depends on a rotor speed velocity

Ryspek Usubamatov*

Published: 07 April, 2023 | Volume 6 - Issue 1 | Pages: 068-072

In engineering, all moving rotating objects exhibit gyroscopic effects resulting from the action of an external torque on a rotating object. Gyroscopic effects are the action of a set of inertial moments and movements of an object around three axes of a three-dimensional Cartesian coordinate system. Moments of inertia are created by centrifugal and Coriolis forces, as well as the moment of change in angular momentum, which is expressed by their kinetic energy. The values of the moments of inertia directly depend on the speed of rotation of the object and its rotation around the axes. A short-term effect of an external load on a running gyroscope with displaced support can be manifested by its oscillations. The physics of gyroscope oscillations is not well explained in publications. This article describes the oscillations of a gyroscope by the action of the external torque which is its potential energy converting into kinetic energy of the inertial torques of the gyroscope. The conversion is carried out by the principle of mechanical energy conservation which is the same as for oscillations of a spring with a load.

Read Full Article HTML DOI: 10.29328/journal.ijpra.1001053 Cite this Article Read Full Article PDF

Keywords:

Gyroscope theory; Inertial torque; Oscillation; Mechanical energy

References

  1. Cordeiro FJB. The Gyroscope. Createspace, NV, USA. 2015.
  2. Greenhill G. Report on Gyroscopic Theory. Relink Books, Fallbrook, CA, USA. 2015.
  3. Hibbeler RC, Yap KB. Mechanics for Engineers-Statics and Dynamics. 13th Prentice Hall, Pearson, Singapore. 2013.
  4. Scarborough JB. The Gyroscope Theory and Applications. Nabu Press, London. 2014.
  5. Smith PF,  Longley Theoretical Mechanics. Franklin Classics, Boston. 2018.
  6. Nolting Theoretical Physics 1: Classical Mechanics. Springer, Cham, Switzerland. 2016.
  7. Taylor JR. Classical Mechanics. University Science Books, California, USA. 2005.
  8. Weinberg H. Gyro Mechanical Performance: the most important parameter. Analog Devices. Technical Article MS-2011; 2158: 1-5.
  9. Aardema MD. Analytical Dynamics. Theory and Application. Academic/Plenum Publishers, New York. 2005.
  10. Baumann G. Mathematica for Theoretical Physics. Springer, New York. 2003.
  11. Dreizler R. Theoretical Mechanics: Theoretical Physics Springer, Boca Raton. 2010.
  12. Russell K, Shen Q, Sodhi Kinematics and Dynamics of Mechanical Systems. 2nd ed.: Implementation in MATLAB and SimMechanics, Taylor & Francis, Boca Raton. 2019.
  13. Usubamatov R. Allen D. Corrected inertial torques of gyroscopic effects. Advances in Mathematical Physics. 2022; 2022: 3479736.
  14. Usubamatov R. Theory of Gyroscope Effects for Rotating Objects. 2nd ed. Springer, Cham, Switzerland. 2022.

Figures:

Similar Articles

Recently Viewed

Read More

Most Viewed

Read More

Help ?