Chapter 8. Mode-Coupled Regenerative Machine Tool Vibrations

  1. Prof. Dr. Günter Radons3 and
  2. Prof. Dr.-Ing. Reimund Neugebauer4
  1. T. Kalmár-Nagy1 and
  2. F.C. Moon2

Published Online: 28 JAN 2005

DOI: 10.1002/3527602585.ch8

Nonlinear Dynamics of Production Systems

Nonlinear Dynamics of Production Systems

How to Cite

Kalmár-Nagy, T. and Moon, F.C. (2005) Mode-Coupled Regenerative Machine Tool Vibrations, in Nonlinear Dynamics of Production Systems (eds G. Radons and R. Neugebauer), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527602585.ch8

Editor Information

  1. 3

    Technische Universität Chemnitz, Institut für Physik, Theoretische Physik I, Komplexe Systeme und Nichtlineare Dynamik, Germany

  2. 4

    Fraunhofer Institut für Werkzeugmaschinen und Umformtechnik IWU Chemnitz, Germany

Author Information

  1. 1

    United Technolgies Research Center, USA

  2. 2

    Cornell University, Ithaca Sibley School of Mechanical and Aerospace, Engineering, Singapore

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 28 JAN 2004

ISBN Information

Print ISBN: 9783527404308

Online ISBN: 9783527602582



  • machine tool vibrations;
  • mode-coupled;
  • regenerative;
  • metal cutting;
  • three-degree-of-freedom model of metal cutting;
  • stability analysis


This chapter contains sections titled:

  • Introduction

  • Metal Cutting

    • Oblique Cutting

  • Three-degree-of-freedom Model of Metal Cutting

    • Cutting Forces

    • The Equations of Motion

  • Estimation of Model Parameters

    • Structural Parameters

    • Cutting Force Parameters

    • Model Parameters

  • Analysis of the Model

    • Classical Limit

    • Stability Analysis of the Undamped System Without Delay

    • Stability Analysis of the Two-degree-of-freedom Model with Delay

  • Conclusions

  • Bibliography