Modeling of multimass systems torsionally deformed with variable inertia

Pielorz, Amalia; Skóra, Monika

doi:https://doi.org/10.1155/DENM/2006/20758

International Journal of Differential Equations

On this page

Abstract References Copyright Related Articles

Open Access

Volume 2006 | Article ID 020758 | https://doi.org/10.1155/DENM/2006/20758

Modeling of multimass systems torsionally deformed with variable inertia

Amalia Pielorz¹and Monika Skóra¹

Received20 Dec 2005

Accepted29 May 2006

Published27 Jul 2006

Abstract

Dynamic investigations of multimass discrete-continuous systems having variable moment of inertia are performed. The systems are torsionally deformed and consist of an arbitrary number of elastic elements connected by rigid bodies. The problem is nonlinear and it is linearized after appropriate transformations. It is shown that such problems can be investigated using the wave approach. Some analytical considerations and numerical calculations are done for a two-mass system with a special case of boundary conditions.

References

K. Koser and F. Pasin, “Continuous modelling of the torsional vibrations of the drive shaft of mechanisms,” Journal of Sound and Vibration, vol. 188, no. 1, pp. 17–24, 1995.
View at: Publisher Site | Google Scholar
W. Nadolski and A. Pielorz, “Theoretical investigations of nonlinear loads on gear teeth in single gear transmission,” International Journal of Mechanical Sciences, vol. 43, no. 2, pp. 299–311, 2001.
View at: Publisher Site | Google Scholar | Zentralblatt MATH
M. S. Pasricha and W. D. Carnegie, “Formulation of the equations of dynamic motion including the effects of variable inertia on the torsional vibrations in reciprocating engines, part I,” Journal of Sound and Vibration, vol. 66, no. 2, pp. 181–186, 1979.
View at: Publisher Site | Google Scholar | Zentralblatt MATH
A. Pielorz, “Dynamic analysis of a nonlinear discrete-continuous torsional system by means of wave method,” Zeitschrift für Angewandte Mathematik und Mechanik, vol. 75, no. 9, pp. 691–698, 1995.
View at: Google Scholar | Zentralblatt MATH
A. Pielorz, “Non-linear vibrations of a discrete-continuous torsional system with non-linearities having characteristic of a soft type,” Journal of Sound and Vibration, vol. 225, no. 2, pp. 375–389, 1999.
View at: Publisher Site | Google Scholar
S. C. Sinha and E. A. Butcher, “Symbolic computation of fundamental solution matrices for time-periodic dynamical systems,” Journal of Sound and Vibration, vol. 206, no. 1, pp. 61–85, 1997.
View at: Publisher Site | Google Scholar
J. Zajączkowski, “Torsional vibration of shafts coupled by mechanisms,” Journal of Sound and Vibration, vol. 116, no. 2, pp. 221–237, 1987.
View at: Google Scholar

Copyright

Copyright © 2006 Amalia Pielorz and Monika Skóra. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

PDF Download Citation Order printed copies

Views

253

Downloads

1137

Citations