Tchebychev-based modal-domain coupling (TMDC) for prediction of microtool-tip dynamics
CIRP Annals, cilt.75, sa.1, ss.143-147, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 75 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.1016/j.cirp.2026.04.054
- Dergi Adı: CIRP Annals
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC
- Sayfa Sayıları: ss.143-147
- Anahtar Kelimeler: Micro-machining stability, Modal-domain coupling, Tool-tip Dynamics
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
Accurate representation of tool-tip dynamics is essential for predicting stability in micromachining. Frequency-domain coupling approaches amplify measurement noise due to matrix inversions and finite-difference approximations of rotational frequency response functions (FRFs). We propose Tchebychev-based modal-domain coupling (TMDC), which represents measured spindle–artefact mode shapes in a Tchebychev basis, evaluates slopes with spectral differentiation, couples a Tchebychev-based tool-dynamics model, and enforces interface compatibility in modal coordinates. TMDC is validated on two ultra-high-speed spindles, showing agreement with measured FRFs up to 15 kHz and avoiding the artificial antiresonances observed with receptance coupling substructure analysis (RCSA). Predicted tool-tip receptances are then used to predict stability for two micro-endmill geometries.