WIAS Preprint No. 1588, (2011)

Development of a stability prediction tool for the identification of stable milling processes


  • Hömberg, Dietmar
    ORCID: 0000-0001-9460-5729
  • Uhlmann, Eckart
  • Rott, Oliver
  • Rasper, Patrick

2010 Mathematics Subject Classification

  • 74D05 35Q74 68W99


  • Thermo-elasticity, milling, process-structure interaction, work piece effects, stability, delay-differential equations




This paper deals with a new mathematical model to characterise the interaction between machine and work piece in a milling process. The model consists of a multi-body system representing the milling machine and a linear thermo-elastic work piece model. An extensive experimental analysis supported the development of the governing model equations. A numerical solution strategy is outlined and complemented by simulations of stable and unstable milling processes including work piece effects. The last part covers the development of a new algorithm for the stability analysis of large milling systems.

Appeared in

  • Process Machine Interactions. Prediction and Manipulation of Interactions between Manufacturing Processes and Machine Tool Structures, B. Denkena, F. Hollmann, eds., Lecture Notes in Production Engineering, Springer, Berlin --- Heidelberg, 2013, pp. 203--224

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