CIRP Encyclopedia of Production Engineering

2014 Edition
| Editors: The International Academy for Production Engineering, Luc Laperrière, Gunther Reinhart


Reference work entry



Dynamics is the field of mechanics that deals with the connection between the motion of bodies and the forces acting on them.

Machine tool dynamics is based on Newtonian dynamics.

The Newtonian dynamics deals with macroscopic objects moving with a velocity negligible compared to the speed of light. Although Newtonian ideas have been overthrown by relativity and quantum mechanics, it is still the basic theory for engineering applications.

Theory and Application

Dynamics can be classified as follows:
  1. 1.

    Multibody dynamics that deals with large motions of rigid bodies

  2. 2.

    Vibrations that deal with small motions of deformable bodies

In machine tool dynamics, the following phenomena belong here:
  • Rigid body motions
    • Mechanisms

  • Vibrations
    • Free vibrations

    • Forced vibrations

    • Self-excited vibrations

    • Parametrically excited vibrations

Dynamic analysis is often associated with the term “stability.” Stability properties of dynamical systems are often...

This is a preview of subscription content, log in to check access.


  1. Altintas Y (2000) Manufacturing automation: metal cutting mechanics, machine tool vibrations, and CNC design. Cambridge University Press, New YorkGoogle Scholar
  2. Bachrathy D, Insperger T, Stepan G (2009) Surface properties of the machined workpiece for helical mills. Mach Sci Technol 13(2):227–245CrossRefGoogle Scholar
  3. Budak E, Altintas Y (1998) Analytical prediction of chatter stability in milling – part 1: general formulation. J Dyn Syst – T ASME 120:22–30CrossRefGoogle Scholar
  4. Ewins DJ (2000) Modal testing: theory, practice and application. Research Studies Press, BaldockGoogle Scholar
  5. Insperger T, Stepan G (2011) Semi-discretization for time-delay systems: stability and engineering applications. Springer, New YorkCrossRefGoogle Scholar
  6. Mathieu É (1868) Memoire sur le mouvement vibratoire d”une membrane de forme elliptique. [Essay on the vibratory motion on an elliptic membrane]. J Math Pure Appl 13:137–203 (in French)MATHGoogle Scholar
  7. Schmitz TL, Smith KS (2009) Machining dynamics: frequency response to improved productivity. Springer, New YorkCrossRefGoogle Scholar
  8. Stepan G (1989) Retarded dynamical systems. Longman, HarlowMATHGoogle Scholar
  9. van der Pol F, Strutt MJO (1928) On the stability of the solutions of Mathieu’s equation. Philos Mag J Sci 5:18–38CrossRefMATHGoogle Scholar

Copyright information

© CIRP 2014

Authors and Affiliations

  1. 1.Applied MechanicsBudapest University of Technology and EconomicsBudapestHungary