Determination of linear characteristics of rotor mounting groups under load

Introduction. The paper considers analytical studies on the “rotor – gapped-type support” dynamic system under process loading. The research objective is to obtain expressions for determining the equivalent stiffness characteristics of the system.Materials and Methods. A rotor rotating in the elasti...

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Main Authors: S. I. Lazarev, O. V. Lomakina, V. I. Galaev
Format: Article
Language:Russian
Published: Don State Technical University 2020-03-01
Series:Advanced Engineering Research
Subjects:
Online Access:https://www.vestnik-donstu.ru/jour/article/view/1636
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author S. I. Lazarev
O. V. Lomakina
V. I. Galaev
author_facet S. I. Lazarev
O. V. Lomakina
V. I. Galaev
author_sort S. I. Lazarev
collection DOAJ
description Introduction. The paper considers analytical studies on the “rotor – gapped-type support” dynamic system under process loading. The research objective is to obtain expressions for determining the equivalent stiffness characteristics of the system.Materials and Methods. A rotor rotating in the elastic gapped-type supports is considered. A dynamic model that enables to consider the problem of determining the linear equivalent stiffness characteristics of mounting groups is pro-posed. To solve the problem, a system of differential equations is compiled, and a detailed analysis is performed.Results. From the obtained dynamic equations of the system in question, we can calculate the static angular deviation of the rotor pins due to the action of the load. The proposed expressions for determining equivalent stiffness characteristics testify that it is possible to study the rotor dynamics as on the linear elastic supports with the above parameters. The obtained system of equations is analyzed, and all special cases of applying the first approximation formulas for equiva-lent stiffness of the rotor mounting groups are listed.Discussion and Conclusions. The results obtained make it possible to study many dynamic processes on the basis of linear differential equations considering the nonlinear properties of the system. For shavers used in the production of leather materials, the determination of rotor vibrations in the horizontal plane provides the quality and accuracy of operations.
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publisher Don State Technical University
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spelling doaj-art-729e09ee18e847b2ad05d59bddfc65342025-08-20T03:21:08ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532020-03-01201616710.23947/1992-5980-2020-20-1-61-671453Determination of linear characteristics of rotor mounting groups under loadS. I. Lazarev0O. V. Lomakina1V. I. Galaev2Tambov State Technical UniversityTambov State Technical UniversityTambov State Technical UniversityIntroduction. The paper considers analytical studies on the “rotor – gapped-type support” dynamic system under process loading. The research objective is to obtain expressions for determining the equivalent stiffness characteristics of the system.Materials and Methods. A rotor rotating in the elastic gapped-type supports is considered. A dynamic model that enables to consider the problem of determining the linear equivalent stiffness characteristics of mounting groups is pro-posed. To solve the problem, a system of differential equations is compiled, and a detailed analysis is performed.Results. From the obtained dynamic equations of the system in question, we can calculate the static angular deviation of the rotor pins due to the action of the load. The proposed expressions for determining equivalent stiffness characteristics testify that it is possible to study the rotor dynamics as on the linear elastic supports with the above parameters. The obtained system of equations is analyzed, and all special cases of applying the first approximation formulas for equiva-lent stiffness of the rotor mounting groups are listed.Discussion and Conclusions. The results obtained make it possible to study many dynamic processes on the basis of linear differential equations considering the nonlinear properties of the system. For shavers used in the production of leather materials, the determination of rotor vibrations in the horizontal plane provides the quality and accuracy of operations.https://www.vestnik-donstu.ru/jour/article/view/1636mechanical engineeringrotordynamic rotor equipmentrotor balancerotor mounting groupslinear equivalent stiffness parameters of rotor unitsrotor operating modes
spellingShingle S. I. Lazarev
O. V. Lomakina
V. I. Galaev
Determination of linear characteristics of rotor mounting groups under load
Advanced Engineering Research
mechanical engineering
rotor
dynamic rotor equipment
rotor balance
rotor mounting groups
linear equivalent stiffness parameters of rotor units
rotor operating modes
title Determination of linear characteristics of rotor mounting groups under load
title_full Determination of linear characteristics of rotor mounting groups under load
title_fullStr Determination of linear characteristics of rotor mounting groups under load
title_full_unstemmed Determination of linear characteristics of rotor mounting groups under load
title_short Determination of linear characteristics of rotor mounting groups under load
title_sort determination of linear characteristics of rotor mounting groups under load
topic mechanical engineering
rotor
dynamic rotor equipment
rotor balance
rotor mounting groups
linear equivalent stiffness parameters of rotor units
rotor operating modes
url https://www.vestnik-donstu.ru/jour/article/view/1636
work_keys_str_mv AT silazarev determinationoflinearcharacteristicsofrotormountinggroupsunderload
AT ovlomakina determinationoflinearcharacteristicsofrotormountinggroupsunderload
AT vigalaev determinationoflinearcharacteristicsofrotormountinggroupsunderload