Deterministic-Stochastic Subspace Identification of the Modal Parameters of a Machine Tool During Milling

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Willy Reichert - , Fraunhofer Institute for Machine Tools and Forming Technology (Author)
  • Martin Kolouch - , Fraunhofer Institute for Machine Tools and Forming Technology (Author)
  • Jan Berthold - , Chemnitz University of Technology (Author)
  • Steffen Ihlenfeldt - , Fraunhofer Institute for Machine Tools and Forming Technology (Author)
  • Max Engelmann - , Chemnitz University of Technology (Author)

Abstract

Modal analysis is a standard tool for evaluating the dynamic behaviour of machine tools. Since the dynamic behaviour can differ for operating and analysis conditions, the use of operational modal analysis for machine tools has been researched over the last decade. However, the operation of a machine tool is a special case with respect to the excitation, as the excitation is both deterministic and stochastic in nature. Therefore, a perfect broadband excitation, which can be assumed to be white noise, does not occur in machine tools. This fact must be taken into account for the identification and makes the application of classical techniques of operational modal analysis to milling machines insufficient. The approach for identification of the modal parameters of a milling machine during machining, presented in the paper, is based on the deterministic-stochastic subspace identification, which can consider both the deterministic and the stochastic character of the excitation in machine tools better than the stochastic subspace identification being often used in operational modal analysis. For this purpose, the formulation of the input vector for a milling machine is crucial. The approach is developed with the help of simulations and demonstrated on a real machine tool. The results show an improvement compared to the stochastic subspace identification, which is visible in more clear stability diagrams and in a higher number of identified resonance frequencies.

Details

Original languageEnglish
Article number44
JournalJournal of manufacturing and materials processing
Volume9
Issue number2
Publication statusPublished - Feb 2025
Peer-reviewedYes
Externally publishedYes

Keywords

Keywords

  • dynamics, identification, machine tool, modal analysis