Position-dependent FRF identification without force measurement in milling process

Altun B., Çalişkan H., Özşahin O.

International Journal of Advanced Manufacturing Technology, vol.128, no.11-12, pp.4981-4996, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 128 Issue: 11-12
  • Publication Date: 2023
  • Doi Number: 10.1007/s00170-023-11925-w
  • Journal Name: International Journal of Advanced Manufacturing Technology
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, IBZ Online, Compendex, INSPEC, DIALNET
  • Page Numbers: pp.4981-4996
  • Keywords: Force coefficients, Frequency response function, Identification, Machine tool structure, Milling, Milling force, Operational modal analysis, Position dependent
  • Middle East Technical University Affiliated: Yes


Frequency response functions (FRFs) are one of the most useful methods for representing machine tool dynamics under force excitation. FRFs are usually obtained empirically through output measurements, and force excitations are controlled by an external device such as hammers or shakers. This study offers an operational identification method that utilizes the calculation of force applied during the process as an input for FRF identification. Force excitation is provided through the face milling of a thin-walled workpiece, and acceleration measurements are taken during the process. The FRF is calculated at a designated position by sampling workpiece-cutting tool contacts as individual tap tests and substituting a force calculation as input. Force coefficients need to be known for the force calculation. An experimental force coefficient identification method is proposed. In that case, a similar thin-walled workpiece at a point with known FRF and acceleration measurements is utilized. Results are confirmed with FRFs obtained in the same location for both FRF identification and force coefficient identification approaches.