A method to study the chatter stability of a high speed milling machining process is presented. Identification of the chatter-free machining parameters maximizing the metal removal rate is also studied in order to improve the milling process productivity. Starting from the equations of motion of a general machine-tool-workpiece system, resulting in a set of linear, ordinary, time dependent parameter, Periodic Delay Differential Equations (PDDEs), a spectral decomposition technique is applied. A new set of linear, ordinary, constant parameter, PDDEs is derived by applying a spectral decomposition and a generalized harmonic balance technique. The stability of the solution can be studied in advance by solving a non standard eigenvalue problem, making it possible to predict the occurrence of chatter vibration during milling. The proposed approach makes it possible to obtain a straightforward formula for the sensitivity of the real component of eigenvalues with respect to the variation of a technological parameter. A comparison with the well known Semi-Discretization (SD) method is carried out. The SD method is revisited so that a closed formula for the sensitivity of eigenvalues with respect to the variation of a technological parameter is introduced. A numerical example is presented in order to test the proposed approach. Finally strengths and limits of the proposed approach are critically discussed and a comparison with the SD method is carried out.

Analysis of stability in high speed milling machining by means of spectral decomposition / Carminelli A.; Catania G.. - STAMPA. - 11:(2014), pp. MECH-03.28-MECH-03.39. (Intervento presentato al convegno Conference of Mechanical Engineering (ECME '14) tenutosi a Florence nel November 22-24, 2014).

Analysis of stability in high speed milling machining by means of spectral decomposition

CARMINELLI, ANTONIO;CATANIA, GIUSEPPE
2014

Abstract

A method to study the chatter stability of a high speed milling machining process is presented. Identification of the chatter-free machining parameters maximizing the metal removal rate is also studied in order to improve the milling process productivity. Starting from the equations of motion of a general machine-tool-workpiece system, resulting in a set of linear, ordinary, time dependent parameter, Periodic Delay Differential Equations (PDDEs), a spectral decomposition technique is applied. A new set of linear, ordinary, constant parameter, PDDEs is derived by applying a spectral decomposition and a generalized harmonic balance technique. The stability of the solution can be studied in advance by solving a non standard eigenvalue problem, making it possible to predict the occurrence of chatter vibration during milling. The proposed approach makes it possible to obtain a straightforward formula for the sensitivity of the real component of eigenvalues with respect to the variation of a technological parameter. A comparison with the well known Semi-Discretization (SD) method is carried out. The SD method is revisited so that a closed formula for the sensitivity of eigenvalues with respect to the variation of a technological parameter is introduced. A numerical example is presented in order to test the proposed approach. Finally strengths and limits of the proposed approach are critically discussed and a comparison with the SD method is carried out.
2014
Recent advances in mechanical engineering, Proceedings of the 5th european conference of mechanical engineering (ECME 14)
28
39
Analysis of stability in high speed milling machining by means of spectral decomposition / Carminelli A.; Catania G.. - STAMPA. - 11:(2014), pp. MECH-03.28-MECH-03.39. (Intervento presentato al convegno Conference of Mechanical Engineering (ECME '14) tenutosi a Florence nel November 22-24, 2014).
Carminelli A.; Catania G.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/398135
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