This work presents the foundations of dynamic and control for ultrasonic processing systems.This book considers ultrasonic systems as special vibratory machines that function by exploiting nonlinear dynamic processes. Recommendations are given for designing and tuning ultrasonic machines. The ultrasonic machines analysed are predominantly concerned with the processing of solids. Applications include: ultrasonic erosion, ultrasonic hardening, ultrasonic welding, ultrasonically assisted plastic deformation, ultrasonically assisted turning, and ultrasonically assisted drilling. This book is intended for advanced students, engineers and researchers who are involved with the study, design and application of ultrasonic processing systems. Lecturers and students should also find useful examples of practical analysis and the application of nonlinear dynamical systems subjected to high frequency vibration.