Feedback Control of Chaotic Circular Point Sets with Arbitrary Velocity Profile

Abstrad-lo simulate general particle motion on the cross-section of a particle laden jetllow by using fractal point sets, a feedback control process is developed to ensurc the validity of nonlinear mapping techniques that transform an original fractal point set into the point set with any desired velocity profile. The points are utrlized to represent quantitatively functional ahrasive particles in abrasive waterjets which are capable of penetrating hard-to-machine materials such as titanium and advanced ceramics. The theoretical framework constitutes one of the most important parts in three-dimensionat modeling of particle jetflow machining. Experimental results from cutting titanium and aluminum verify that the model has very good accuracy.