CORRELATION BETWEEN PARAMETERS AND KINEMATICS ON THE DESIGN OF CONSTANT PITCH SPIRAL-TURNED ORNAMENTS

Execution of spiral-turned ornaments with constant pitch represents the movement of the tool on the helical trajectories (main trajectory) along a cylinder during manufacturing process. The processing tool has the profile shape of the helical winding (generated trajectory) on the cutting knives. The main and the generated trajectories are the basic elements in processing of spiral-turned ornaments with constant pitch. If the generated trajectory is materialized on the cutting knives of the tools (profiled router milling tools), the main trajectory must be kinematic generated by combining the movements performed by the tool and the workpiece. Generating the main trajectory means to combine the linear and angular movements, correlated with parameters as function of geometrical characteristics of the spiral-turned ornament: wrapping angle and winding pitch (axial pitch). This paper aims to present the links and parametric correlations between the working tool and the workpiece according to the geometric characteristics that must result to ensure the aesthetics of the ornament. The correlation of parameters results also in obtaining the desired quality of machined surfaces. All these require the development of correlation between kinematics and parameters of the machine tools that process such ornaments.