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A dynamic model of the “tool-workpiece” system for chatter prediction in end milling of the low-stiffness parts has been developed. This model takes into consideration the influence of the contact interaction of the tool and workpiece on the system’s dynamic characteristics forming. A procedure for frequency response function (FRF) determination and lobed stability charts plotting has been developed. FRFs were determined for the whole system, which consisted of interrelated tool and workpiece subsystems. For the low-stiffness workpieces of a geometrically complex parts, FRF was determined using ANSYS software, and for the tool (end mill), by the use of analytical methods. The modeling of the dynamic characteristics of the “tool-workpiece” system has been performed. Lobed stability charts for different points of tool and workpiece contact and for different depths of cut have been plotted. The authors assumed to compare the adequacy of the developed procedure for FRF determination and lobed stability charts plotting with the experiment. The lobed stability charts plotting for different tool and workpiece points of contact were elaborated. Crucial element of the research is the determination of stable machining and chatter zones. The modeling results are validated through an experiment. This allowed for the formulation of appropriate conclusions.