Abstract
The paper deals with discrete-continuous systems having position-depended inertia. The systems consist of an arbitrary number of elastic elements torsionally deformed connected by rigid bodies. The first rigid body represents an electrical motor. Constant and variable velocities of the motor are considered. The studied problems are nonlinear and they are linearized after appropriate transformations. It is shown that such problems can be investigated by means of the wave approach using the solution of the d’Alembert type. Numerical considerations are done for a three-mass model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Koser, K., Pasin, F.: Continuous modeling of the torsional vibrations of the drive shaft of mechanisms. J. Sound Vib. 188(1), 17–24 (1995)
Koser, K., Pasin, F.: Torsional vibrations of the drive shafts of mechanisms. J. Sound Vib. 199(4), 559–565 (1997)
Pasricha, M.S., Carnegie, W.D.: Formulation of the equations of dynamic motion including the effects of variable inertia on the torsional vibrations in reciprocating engines, Part I. J. Sound Vib. 66, 181–186 (1979)
Pielorz, A., Skóra, M.: Modeling of multimass systems torsionally deformed with variable inertia. Diff. Eq. Nonlinear Mech. 2006, ID 20758, 1–11 (2006)
Pielorz, A., Skóra, M.: Analytical approach in torsional multi-mass discrete-continuous systems with variable inertia. Meccanica 44, 121–131 (2009)
Nadolski, W., Pielorz, A.: Theoretical investigations of nonlinear loads on gear teeth in single gear transmission. Int. J. Mech. Sci. 43, 299–311 (2001)
Pielorz, A.: Nonlinear equations with a retarded argument in discrete-continuous systems. Math. Probl. Eng. 2007, Article ID 28430, 1–11 (2007). doi:10.1155/2007/28430
Pielorz, A.: Vibrations of rod-rigid element systems with a local non-linearity. Int. J. Nonlinear Mech. 45(9), 888–894 (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this paper
Cite this paper
Pielorz, A. (2011). Wave Approach in Discrete-Continuous Systems Torsionally Deformed Taking into Account Position-Dependent Inertia. In: Náprstek, J., Horáček, J., OkrouhlĂk, M., Marvalová, B., Verhulst, F., Sawicki, J. (eds) Vibration Problems ICOVP 2011. Springer Proceedings in Physics, vol 139. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2069-5_34
Download citation
DOI: https://doi.org/10.1007/978-94-007-2069-5_34
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-2068-8
Online ISBN: 978-94-007-2069-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)