Differential Equations and Nonlinear Mechanics
Volume 2006 (2006), Article ID 20758, 11 pages

Modeling of multimass systems torsionally deformed with variable inertia

Amalia Pielorz and Monika Skóra

Faculty of Management and Computer Modelling, Kielce University of Technology, Aleja 1000-lecia Pañstwa Polskiego 7, Kielce 25-314, Poland

Received 20 December 2005; Accepted 29 May 2006

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.


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.