FEEDBACK-CONTROL OF CHAOTIC CIRCULAR POINT SETS WITH ARBITRARY VELOCITY PROFILE

To simulate general particle motion on the cross-section of a particle laden jetflow by using fractal point sets, a feedback control process is developed to ensure the validity of nonlinear mapping techniques t hat transform an original fractal point set into the point set with an y desired velocity profile. The points are utilized to represent quant itatively functional abrasive particles in abrasive waterjets which ar e capable of penetrating hard-to-machine materials such as titanium an d advanced ceramics. The theoretical framework constitutes one of the most important parts in three-dimensional modeling of particle jetflow machining. Experimental results from cutting titanium and aluminum ve rify that the model has very good accuracy. (C) 1997 Elsevier Science Ltd.