A Model of Gear Transmission : Fractional Order System Dynamics
Joint Authors
Hedrih, Katica R. (Stevanovic)
Nikolić-Stanojević, Vera
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-27
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
A theoretical model of multistep gear transmission dynamics is presented.
This model is based on the assumption that the connection between the teeth of the gears is with properties within the range from ideal clasic to viscoelastic so that a new model of connection between the teeth was expressed by means of derivative of fractional order.
For this model a two-step gear transmision with three degrees of freedom of motion has been used.
The obtained solutions are in the analytic form of the expansion according to time.
As boundary cases this model gives results for the case of ideally elastic connection of the gear teeth and for the case of viscoelastic connection of the gear teeth, as well.
Eigen fractional modes are obtained and a vizualization is done.
American Psychological Association (APA)
Hedrih, Katica R. (Stevanovic)& Nikolić-Stanojević, Vera. 2010. A Model of Gear Transmission : Fractional Order System Dynamics. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-23.
https://search.emarefa.net/detail/BIM-512607
Modern Language Association (MLA)
Hedrih, Katica R. (Stevanovic)& Nikolić-Stanojević, Vera. A Model of Gear Transmission : Fractional Order System Dynamics. Mathematical Problems in Engineering No. 2010 (2010), pp.1-23.
https://search.emarefa.net/detail/BIM-512607
American Medical Association (AMA)
Hedrih, Katica R. (Stevanovic)& Nikolić-Stanojević, Vera. A Model of Gear Transmission : Fractional Order System Dynamics. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-23.
https://search.emarefa.net/detail/BIM-512607
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512607