The investigation of dynamics of misaligned units in vehicle transmission
In the article the problems related to the dynamics of a mechanic system on misalignment of shafts in radial direction are presented. The object of the investigation is a two-shaft system connected with an elastic centrifugal ring coupling. Using equations of static equilibrium it was found that...
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Vilnius Gediminas Technical University
2002-12-01
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doaj-dfd4a211b2a54045929877facd9c41712021-07-02T15:17:56ZengVilnius Gediminas Technical UniversityTransport1648-41421648-34802002-12-0117610.3846/16483840.2002.10414048The investigation of dynamics of misaligned units in vehicle transmissionVytautas Turla0Igor Iljin1Department of Printing Machines , Vilnius Gediminas Technical University , J BasanaviÄaus g. 28, LT-2009, Vilnius, LithuaniaDepartment of Printing Machines, Vilnius Gediminas Technical University, J Basanavicaus g. 28, LT-2009 Vilnius, Lithuania In the article the problems related to the dynamics of a mechanic system on misalignment of shafts in radial direction are presented. The object of the investigation is a two-shaft system connected with an elastic centrifugal ring coupling. Using equations of static equilibrium it was found that an internal moment of resistance to rotation appears in the coupling connecting the radially misaligned shafts. Using Dalamber's principle for the rotational movement the differential equation that describes the rotation of the second shaft has been developed. It was shown that after the perfonnance of the corresponding actions and the introduction of a new variable the said equation is transformed in to an equation which character virtually coincides with the equation describing free oscillations of a mathematical pendulum. Because the value of misalignment of shafts in the radial direction is small in comparison with other parameters, a small parameter method was used for the solution of this equation. The found solutions show that rotational vibrations with the double frequency of rotational movement are excited in the misaligned mechanical system with an elastic centrifugal ring coupling. The restrictions ofthe application of a small parameters method have been explored and the limits of its application have been found. First Published Online: 19 Dec 2011 http://localhost/journals.vgtu.lt/index.php/Transport/article/view/8768vehicle transmissionelastic centrifugal ring couplingmisaligned shaftsrotational vibrationssmall parameter method |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Vytautas Turla Igor Iljin |
spellingShingle |
Vytautas Turla Igor Iljin The investigation of dynamics of misaligned units in vehicle transmission Transport vehicle transmission elastic centrifugal ring coupling misaligned shafts rotational vibrations small parameter method |
author_facet |
Vytautas Turla Igor Iljin |
author_sort |
Vytautas Turla |
title |
The investigation of dynamics of misaligned units in vehicle transmission |
title_short |
The investigation of dynamics of misaligned units in vehicle transmission |
title_full |
The investigation of dynamics of misaligned units in vehicle transmission |
title_fullStr |
The investigation of dynamics of misaligned units in vehicle transmission |
title_full_unstemmed |
The investigation of dynamics of misaligned units in vehicle transmission |
title_sort |
investigation of dynamics of misaligned units in vehicle transmission |
publisher |
Vilnius Gediminas Technical University |
series |
Transport |
issn |
1648-4142 1648-3480 |
publishDate |
2002-12-01 |
description |
In the article the problems related to the dynamics of a mechanic system on misalignment of shafts in radial direction are presented. The object of the investigation is a two-shaft system connected with an elastic centrifugal ring coupling.
Using equations of static equilibrium it was found that an internal moment of resistance to rotation appears in the coupling connecting the radially misaligned shafts. Using Dalamber's principle for the rotational movement the differential equation that describes the rotation of the second shaft has been developed. It was shown that after the perfonnance of the corresponding actions and the introduction of a new variable the said equation is transformed in to an equation which character virtually coincides with the equation describing free oscillations of a mathematical pendulum.
Because the value of misalignment of shafts in the radial direction is small in comparison with other parameters, a small parameter method was used for the solution of this equation. The found solutions show that rotational vibrations with the double frequency of rotational movement are excited in the misaligned mechanical system with an elastic centrifugal ring coupling.
The restrictions ofthe application of a small parameters method have been explored and the limits of its application have been found.
First Published Online: 19 Dec 2011
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topic |
vehicle transmission elastic centrifugal ring coupling misaligned shafts rotational vibrations small parameter method |
url |
http://localhost/journals.vgtu.lt/index.php/Transport/article/view/8768 |
work_keys_str_mv |
AT vytautasturla theinvestigationofdynamicsofmisalignedunitsinvehicletransmission AT igoriljin theinvestigationofdynamicsofmisalignedunitsinvehicletransmission AT vytautasturla investigationofdynamicsofmisalignedunitsinvehicletransmission AT igoriljin investigationofdynamicsofmisalignedunitsinvehicletransmission |
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