Abstract
The grinding system of paper machine rolls is studied. The MDOF model with double time delays is used to describe the dynamical behavior of the system. By analyzing the simplified linear and non-linear models the stability characteristics of the system has been investigated by different stability methods. Numerical simulation results are used to illustrate stability behaviors of the models.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Thompson, R.A., On the Doubly Regenerative Stability of a Grinder: The Theory of Chatter Growth, Journal of Engineering for Industry, Vol. 108/75, May 1986.
Moon, F.C., Dynamics and Chaos in Manufacturing Processes, John Wiley & Sons, 1998.
Nayfeh, A.H., Problems in Perturbation, 1993.
Pratt, J.R. and Nayfeh, A.H., Chatter Control and Stability Analysis of a Cantilever Boring Bar under Regenerative Cutting Conditions, The Royal Society, 2000.
Gu, K. and Niculescu, S., Survey on Recent Results in the Stability and Control of Time Delay Systems, Tansactions of ASME, Journal of Dynamic Systems, Measurement, and Control, Vol. 125, June 2003.
Altintas, Y., Manufacturing Automation, Cambridge University Press, 2000.
Géradin, M. and Rixen, D., Mechanical Vibrations — Theory and Application to Structural Dynamics, John Wiley & Sons, 1997.
Driver, R.D., Ordinary and Delay Differential Equations, Spinger-Verlag, New York, 1977.
Krasovskii, N.N., Stability of Motion, Stanford University Press, 1963.
Landers, R.G., Ulsoy, A.G. and Ma, Y.-H., A Comparison of Model-Based Machining Force Control Approaches, Int. J. Mach. Tools Manuf., Vol. 44, Nos. 7-8, 2004.
Olgac, N. and Huang, C., On the Stability of a Tuned Vibration Absorber for Time Varying Multiple Frequencies, Journal of Vibration and Control, Vol. 8, No. 4, 2002.
Stepan, G., Modelling Nonlinear Regenerative Effects in Metal Cutting, Philos. Trans. Royal Soc. London A, Vol. 359, 2001.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer
About this paper
Cite this paper
Yuan, L., Keskinen, E., Järvenpää, V. (2005). Stability Analysis of Roll Grinding System with Double Time Delay Effects. In: Ulbrich, H., GÜnthner, W. (eds) IUTAM Symposium on Vibration Control of Nonlinear Mechanisms and Structures. Solid Mechanics and its Applications, vol 130. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4161-6_34
Download citation
DOI: https://doi.org/10.1007/1-4020-4161-6_34
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4160-0
Online ISBN: 978-1-4020-4161-7
eBook Packages: EngineeringEngineering (R0)