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Title: The analysis of ball's motion in the torus-shaped autoequalizer

Abstract

The reduction of vibrations in rotary systems is necessary condition for the development of constructions with high quality requirements. Among the devices that are able to reduce rotor's vibrations are automatic balancers with balls, liquid, etc. Autoequalizers with torus-shaped body contain one ball-shaped adjustment mass that can freely roll both in the ring direction and in the cross section. This enables reducing to the minimum the force of resistance at the ball's moving, but simultaneously decreases the chance of launching the autoequalizer in the autobalancing regime. It has been stated that the ball in the working state is influenced by forces that are aimed at moving it in the body of the autoequalizer towards the side opposite to the imbalance. The design of an autoequalizer that ensures working state in which at rotation the ball stops relative to the autoequalizer's body opposite to the imbalance has been experimentally worked out. The autoequalizer is made up of the mathematical model with two differential equations. In the result of the calculations it has been proved that the ball of an equalizer with the torus-shaped body has at least two movement conditions one of which is a working state, and another one ismore » a spare state.« less

Authors:
 [1];  [2];  [3]
  1. Room 210, Daugavpils branch of Riga Technical University, Smilshu Street 90, Daugavpils (Latvia)
  2. Riga Technical University, Ezermalas Street 6, Riga (Latvia)
  3. Room 209, Daugavpils branch of Riga Technical University,Smilshu Street 90, Daugavpils (Latvia)
Publication Date:
OSTI Identifier:
22261723
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1569; Journal Issue: 1; Conference: 3. international advances in applied physics and materials science congress, Antalya (Turkey), 24-28 Apr 2013; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; 36 MATERIALS SCIENCE; CROSS SECTIONS; DIFFERENTIAL EQUATIONS; LIQUIDS; ROTATION

Citation Formats

Strautmanis, Guntis, E-mail: Guntis@df.rtu.lv, Jurjev, Vadims, E-mail: vadimsjurjevs@gmail.com, and Grinevich, Ivans, E-mail: ivansgrinevics@inbox.lv. The analysis of ball's motion in the torus-shaped autoequalizer. United States: N. p., 2013. Web. doi:10.1063/1.4849314.
Strautmanis, Guntis, E-mail: Guntis@df.rtu.lv, Jurjev, Vadims, E-mail: vadimsjurjevs@gmail.com, & Grinevich, Ivans, E-mail: ivansgrinevics@inbox.lv. The analysis of ball's motion in the torus-shaped autoequalizer. United States. doi:10.1063/1.4849314.
Strautmanis, Guntis, E-mail: Guntis@df.rtu.lv, Jurjev, Vadims, E-mail: vadimsjurjevs@gmail.com, and Grinevich, Ivans, E-mail: ivansgrinevics@inbox.lv. Mon . "The analysis of ball's motion in the torus-shaped autoequalizer". United States. doi:10.1063/1.4849314.
@article{osti_22261723,
title = {The analysis of ball's motion in the torus-shaped autoequalizer},
author = {Strautmanis, Guntis, E-mail: Guntis@df.rtu.lv and Jurjev, Vadims, E-mail: vadimsjurjevs@gmail.com and Grinevich, Ivans, E-mail: ivansgrinevics@inbox.lv},
abstractNote = {The reduction of vibrations in rotary systems is necessary condition for the development of constructions with high quality requirements. Among the devices that are able to reduce rotor's vibrations are automatic balancers with balls, liquid, etc. Autoequalizers with torus-shaped body contain one ball-shaped adjustment mass that can freely roll both in the ring direction and in the cross section. This enables reducing to the minimum the force of resistance at the ball's moving, but simultaneously decreases the chance of launching the autoequalizer in the autobalancing regime. It has been stated that the ball in the working state is influenced by forces that are aimed at moving it in the body of the autoequalizer towards the side opposite to the imbalance. The design of an autoequalizer that ensures working state in which at rotation the ball stops relative to the autoequalizer's body opposite to the imbalance has been experimentally worked out. The autoequalizer is made up of the mathematical model with two differential equations. In the result of the calculations it has been proved that the ball of an equalizer with the torus-shaped body has at least two movement conditions one of which is a working state, and another one is a spare state.},
doi = {10.1063/1.4849314},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1569,
place = {United States},
year = {Mon Dec 16 00:00:00 EST 2013},
month = {Mon Dec 16 00:00:00 EST 2013}
}
  • The Brillouin limit for non-neutral plasma is calculated in cylindrical and toroidal traps with shaped cross section. In particular, the effect of ellipticity and D-shaping is considered. Perturbative solutions of equilibrium equations are constructed in powers of inverse aspect ratio. It is found that ellipticity and D-shaping both enhance the storage efficiency and Brillouin limit of cylindrical traps. In case of toroidal traps it is found that the ellipticity enhances the storage efficiency. The D-shaping also enhances the storage efficiency provided the vertex of the D shape is toward the major axis.
  • The magnetohydrodynamic waves of small amplitude in finite cylindrical wave guides of right angled or circular cross section were investigated. The magnetohydrodynamic waves arising in a torus were described approximately with a similar method. It was shown that in both cases longitudinal, transverse, and mixed waves can occur. (tr-auth)
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