This thesis deals with the analysis of the regenerative chatter vibration in metal cutting process, considering the variation of the amplitude and the direction of resultant cutting force in dynamic cutting. A Mathematical model of dynamic cutting forces in orthogonal is presented. The dynamic cutting forces are expressed by the static cutting coefficients and dynamic cutting coefficients both of which can be determined from static cutting data. The chatter stability limits determined in the theoretical analysis were verified by the experiments which are carried out to investigate the influence of cutting parameters on the critical width of cut. The main results obtained in this study are as follows.
1) Good agreement was shown between the stability limits predicted by the theory and the critical width of cut obtained from experiments.
2) Some difference between the theoretical and experimental results was observed in lower cutting speed range. The presence of a built-up edge could explain the deterioration of the stability of the cutting process in that range.
3) The static cutting coefficient dominates high speed chatter stability, while the dynamic cutting coefficient controls low speed chatter stability in a cutting coefficient controls low speed chatter stability in a cutting system with one degree of freedom.
4) By means of a demensionless parameter which is defined as critical cutting constant $c_cr$. the machining stability can be evaluated in the variation of the shear angle in cutting process.
Consequently, the proposed model of the dynamic cutting forces is available to analyze chatter vibration and to determine the critical cutting conditions.