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Analytical Solution of the Drive Vibration With Time Varying Parameters

[+] Author Affiliations
Jan Dupal, Martin Zajíček

University of West Bohemia, Pilsen, Czech Republic

Paper No. DETC2011-47830, pp. 1365-1370; 6 pages
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5478-5
  • Copyright © 2011 by ASME


The paper deals with an approach to the analytical solution of the periodical vibration of mechanical systems with n DOF esspecially drives containing periodically varying parameters (e.g. stiffnesses). The model is described by means of the Fredholm’s matrix integral equation with degenerated kernel and a periodical Green’s function is used for the solution. The application can be shown e.g. on the Cardan’s mechanism and gear transmission having the time varying tooth stiffnesses. The result correctness is validated by means of Runge-Kutta integration method.

Copyright © 2011 by ASME
Topics: Vibration



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