Acta Scientific Computer Sciences

Research Article Volume 4 Issue 8

Corrected Mathematical Model for the Top Motions with the Eccentric Mass

Ryspek Usubamatov*

Kyrgyz State Technical University After I. Razzakov, Bishkek, Kyrgyzstan

*Corresponding Author: Ryspek Usubamatov, Kyrgyz State Technical University After I. Razzakov, Bishkek, Kyrgyzstan.

Received: March 04, 2022; Published: July 18, 2022


The top toy is a simplest gyroscopic device which mathematical model for a motion is not well-presented in the known publications. Recent investigations have shown the gyroscope properties are more complex. The external force applied on a gyroscope generates of the interrelated centrifugal and Coriolis forces of the mass elements, the change in the angular momentum, and centre mass of the spinning rotor. These system of torques acting around two axes of the spinning top express the basic principles of the gyroscope theory. The system of the inertial torques formulate the mathematical models for the nutation of the top toy with the eccentric mass. This manuscript presents the mathematical model for the top nutation in terms of vibration analysis.

Keywords: Gyroscope Theory; Property; Top Nutation


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Citation: Ryspek Usubamatov. “Corrected Mathematical Model for the Top Motions with the Eccentric Mass". Acta Scientific Computer Sciences 4.8 (2022): 102-106.


Copyright: © 2022 Ryspek Usubamatov. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.


Acceptance rate35%
Acceptance to publication20-30 days

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