Machine-tool Vibration

amplification factor angular frequency assumed beam characteristic chatter amplitudes chatter frequency chip chip-thickness coefficient chip-thickness variation effect coefficient k₁ cutter cutting conditions cutting edge cutting force cutting process cutting speed cutting-force variation damper damping ratio deflection degree of freedom depth of cut differential equation direction dynamic instability equation of motion equivalent stiffness equivalent system example exciting force experimental experiments feed forced vibration frame frequency ratio friction function harmonic response locus hence horizontal hysteretic k₁ kg/mm lathe lathe tool machine-tool magnification factor mass method milling modes of vibration N/fo natural frequency obtained phase angle positive radial drilling machine rake angle resonance curve rev/min shaft shown in fig spindle spring constant stability chart static surface theory thickness Tobias and Fishwick tool torsion spring torsional vibration Type B chatter unstable ranges unstable speed ranges vibration absorber wheel