Dumitru POP, Liviu MORAR, Emilia CÂMPEAN, Ionela TĂNASE


Due to the dynamic behavior of the milling machine, the milling operation can proceed from the stable milling domain in the unstable domain although the depth of milling, the cutting speed and feed rate are rigorously calculated. The stable milling domains can be identified through stability charts which are calculated with specific algorithms that use as input data the modal parameters of the milling machine. We calculated and drew the stability diagrams modeling the cutter vibrations as a one degree of freedom oscillator. For this we implemented the semi-discretization algorithm in software written in Pascal language.  

Keywords: milling machine, stability diagram, semi-discretization algorithm

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Butcher,E.A., H Ma , E., Bueler , Averina V, Szabó Zs., Stability of time-periodic delay-differential equations via Chebyshev polynomials. International Journal for Numerical Methods in Engineering ; 59(7):895–922, 2004

Chiriacescu, S.,T., Sisteme mecanice liniare, Editura Academiei Române, 2007

Chiriacescu, S.T., D.Mangeron, Crăciuanş A., Metode grafoanalitice folosite în studiul stabilităţii sistemului dinamic de prelucrare pe maşini-unelte, Edituara Academiei Republicii Socialiste România, 1986

Insperger, T., Stépán , G., Semi-discretization method for delayed systems. International Journal for Numerical Methods in Engineering 2002; 55(5):503–518

Miller, A., Pascal Programs for scientists and engineers, Sybex Inc., 1981

Pop, D., Subrutine grafice 2D în limbajul BASIC implementate pe calculatorul Sinclair Spectrum, Simpozionul Condinf, Cluj Napoca, 1988

Pop, D.,Morar,L., Câmpean,E.,Tănase, I., Experimental modal analysis of a spindle-tool holder-cutter assembly, Acta Technica Napocensis, Vol. 55, Issue I, 2012, ISSN 1221-5872, pag.227-233

Pop, D.,Morar,L., Câmpean,E.,Tănase, I., Optimization of the technological parameters in the milling process, Acta Technica Napocensis, Vol. 55, Issue I, 2012, ISSN 1221-5872, pag.221-227

Seagalman, D.J., Butcher E.A., Suppression of regenerative chatter via impedance modulation. Journal of Vibration and Control 2000; 6:243–256

Stépán, G., Modelling non-linear regenerative effects in metal cutting. Philosophical Transactions of the Royal Society 2001; 359:739–757


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