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On Non-Linear and Non-Ideal Interactions in Two Vibrating Problems

[+] Author Affiliations
J. L. Palácios Felix, J. M. Balthazar

UNESP - Rio Claro, Rio Claro, SP, Brazil

R. M. L. R. F. Brasil

Polytechnic School - USP, São Paulo, SP, Brazil

T. S. Krasnopolskaya, A. Y. Shevets

Institute of Hydromechanics - NAS, Kiev, Ukraine

Paper No. DETC2007-35087, pp. 1701-1710; 10 pages
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME


In practical situations, the dynamics of the forcing function on a vibrating system cannot be considered as given a priori, and it must be taken as a consequence of the dynamics of the whole system. In other words, the forcing source has limited power, as that provided by a DC motor for an example, and thus its own dynamics is influenced by that of the vibrating system being forced. This increases the number of degrees of freedom of the problem, and it is called a non-ideal problem. In this work, we considerer two non-ideal problems analyzed by using numerical simulations. The existence of the Sommerfeld effect was verified, that is, the effect of getting stuck at resonance (energy imparted to the DC motor being used to excite large amplitude motions of the supporting structure). We considered two kinds of non-ideal problem: one related to the transverse vibrations of a shaft carrying two disks and another to a piezoceramic bar transducer powered by a vacuum tube generated by a non-ideal source.

Copyright © 2007 by ASME



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