応用および計算数学ジャーナル

The Fundamental Principles of Gyroscope Theory

Abstract

Ryspek Usubamatov* and Marek Bergander

Beginning from the Industrial Revolution, outstanding and ordinary scientists of the past and present time tried to formulate mathematically the dynamics of rotating objects. However, only the famous mathematician L. Euler expressed one component of the dynamics of a rotating body which is presented by the change in the angular momentum or precession torque. To date, his decision in publications presented as a fundamental principle of the gyroscope theory. Other scientists and researchers presented intuitive interpretations of the gyroscopic effects without mathematical models. All scientists considered the forces and motion acting on the spinning disc, which is the simplest mechanism in classical mechanics that created so many problems for a long time. This is an unusual phenomenon in the physics of mechanics, in which analytical methods enable us to solve more complex problems than inertial forces acting on a simple spinning disc