A Novel Trajectory Interpolation Algorithm for WEDM - Unit Generalized Arc Length Increment Method

This paper proposes a novel trajectory interpolation algorithm for WEDM, namely Unit Generalized Arc Length Increment Method (UGALIM). In this method, the generalized arc length is taken as a parameter; the coordinates such as X, Y, U and V are the functions of the generalized arc length. In each interpolation period, the generalized arc length increases with exact one Basic Length Unit (BLU), the corresponding incremental components along the X, Y, U and V axes are accumulated into their own accumulators. Once an overflow occurs in any of the first order accumulators of the X, Y, U or V axes, the corresponding axis will move 1 BLU as a step. The interpolation terminates while the interpolated generalized arc length reaches the predefined value. Numerical simulation and machining verification were carried out. A typical ruled surface with a circle in the upper plane and a square in the lower plane is machined with UGALIM. The result demonstrates the feasibility and advantages of this new interpolation method.