Title: Analytic solution of simplified Cardan’s shaft model
Authors: Zajíček, Martin
Dupal, Jan
Citation: Applied and Computational Mechanics. 2014, vol. 8, no. 2, p. 215-228.
Issue Date: 2014
Publisher: University of West Bohemia
Document type: článek
URI: http://www.kme.zcu.cz/acm/acm/article/view/272/304
ISSN: 1807-680X (Print)
2336-1182 (Online)
Keywords: Cardanova hřídel;torzní oscilace;matematické modelování;odhad stability;Mathieuva rovnice
Keywords in different language: Cardan's shaft;torsional oscillations;mathematical modelling;stability assessment;Mathieu’s equation
Abstract: Torsional oscillations and stability assessment of the homokinetic Cardan shaft with a small misalignment angle is described in this paper. The simplified mathematical model of this system leads to the linearized equation of the Mathieu’s type. This equation with and without a stationary damping parameter is considered. The solution of the original differential equation is identical with those one of the Fredholm’s integral equation with degenerated kernel assembled by means of a periodic Green’s function. The conditions of solvability of such problem enable the identification of the borders between stability and instability regions. These results are presented in the form of stability charts and they are verified using the Floquet theory. The correctness of oscillation results for the system with periodic stiffness is then validated by means of the Runge-Kutta integration method.
Rights: © 2014 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 8, number 2 (2014)
Články / Articles (KME)
Volume 8, number 2 (2014)

Files in This Item:
File Description SizeFormat 
Zajicek.pdfPlný text2,65 MBAdobe PDFView/Open

Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/11959

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.