The invention relates to a constraint-driven five-axis
machining singular area
tool path local deformation optimization method. In order to solve the problem that the
machining quality is reduced due to the fact that a cutter shaft vector enters a singular area to cause abrupt change of rotation shaft motion, the method comprises the steps that based on an A-C double-turntable five-axis
machine tool
kinematics model, a singular phenomenon mechanism is revealed through a
differential motion relation, and the singular area is defined as a conical area meeting the condition that a cutter shaft vector component Tk is larger than or equal to epsilon k (epsilon k = cos5 degree is approximately equal to 0.9962); identifying a cutter axis vector
point set entering a singular region in a cutter path, and expanding transition points along the path to construct a sequence to be optimized; interpolating the rotation
angular displacement of the sequence by adopting a B spline curve; establishing an optimization model taking a minimum angle jerk integral square norm (guaranteeing motion stability) and a minimum cutter axis vector deviation (maintaining
machining precision) as double targets; and solving an optimal B spline
control point through a sequential quadratic
programming (SQP)
algorithm under a non-singularity constraint
machine tool
kinematics constraint (
angular velocity / acceleration limitation) and a motion continuity constraint (C2 continuity at a connection point), and generating a smooth optimized
tool path avoiding a singular region. By means of the optimization method, smoothness optimization of the
tool path and stability of
machine tool movement are achieved, machining errors are effectively controlled, and the method is suitable for five-axis high-precision machining of complex curved surfaces in the fields of
aerospace, mold manufacturing and the like.