Forces Acting on A Bearing of an Electric Motor for The Railway Carriage Rounding A Curve

Volume 1 - Issue 1

Ryspek Usubamatov*

Received: September 10, 2018;   Published: September 20, 2018

DOI: 10.32474/ARME.2018.01.000104

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Abstract

Recent investigations in gyroscope effects have demonstrated that their origin has more complex nature that represented in known publications. On a gyroscope are acting simultaneously and interdependently eight inertial torques around two axes. These torques are generated by the centrifugal, common inertial and Coriolis forces as well as the change in the angular momentum of the masses of the spinning rotor. The action of these forces manifests the inertial resistance and precession torques on any rotating objects. New mathematical models for the inertial torques acting on the spinning rotor demonstrate fundamentally different approaches for solving of gyroscope problems in engineering. This is the very important result because the stubborn tendency in engineering is expressed by the increasing of a velocity of rotating objects. The numerous designs of the movable machines and mechanisms contain spinning components like turbines, rotors, discs and others lead to the proportional increase of the magnitudes of inertial forces that are forming their processes of work. This work considers the inertial torques acting on the on a rotor of an electric railway carriage rounding a curve, which expresses the gyroscopic effects.

Keywords: Gyroscope theory; Inertial torques; Spinning rotor

Nomenclature

i. m - Mass of the rotor

ii. g - Gravity acceleration

iii. I - Index for axis ox or oy

iv. J - Mass moment of inertia of the rotor

v. L - Radius of rolling the carriage along the curvilinear path

vi. R - Radius of the rotor

vii. T_am.i, T_cti, T_cr.i, T_in.i - Torque generated by the change in the angular momentum, centrifugal, Coriolis and common inertial forces respectively, and acting around axis i

vii. Tr.i, Tpi - Resistance and precession torque respectively acting around axis i

ix. ω - Angular velocity of the rotor

x. ωi - Angular velocity of precession around axis i

Abstract| Introduction| Methods| Working Example| Results and Discussion| Conclusion| References|