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A New Model of the Fractional Order Dynamics of the Planetary Gears
Joint Authors
Dolicanin, Cemal
Veljović, Ljiljana
Nikolić-Stanojević, Vera
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-28
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A theoretical model of planetary gears dynamics is presented.
Planetary gears are parametrically excited by the time-varying mesh stiffness that fluctuates as the number of gear tooth pairs in contact changes during gear rotation.
In the paper, it has been indicated that even the small disturbance in design realizations of this gear cause nonlinear properties of dynamics which are the source of vibrations and noise in the gear transmission.
Dynamic model of the planetary gears with four degrees of freedom is used.
Applying the basic principles of analytical mechanics and taking the initial and boundary conditions into consideration, it is possible to obtain the system of equations representing physical meshing process between the two or more gears.
This investigation was focused to a new model of the fractional order dynamics of the planetary gear.
For this model analytical expressions for the corresponding fractional order modes like one frequency eigen vibrational modes are obtained.
For one planetary gear, eigen fractional modes are obtained, and a visualization is presented.
By using MathCAD the solution is obtained.
American Psychological Association (APA)
Nikolić-Stanojević, Vera& Veljović, Ljiljana& Dolicanin, Cemal. 2013. A New Model of the Fractional Order Dynamics of the Planetary Gears. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-1032466
Modern Language Association (MLA)
Nikolić-Stanojević, Vera…[et al.]. A New Model of the Fractional Order Dynamics of the Planetary Gears. Mathematical Problems in Engineering No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-1032466
American Medical Association (AMA)
Nikolić-Stanojević, Vera& Veljović, Ljiljana& Dolicanin, Cemal. A New Model of the Fractional Order Dynamics of the Planetary Gears. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-1032466
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032466