Non–Classical Lumped Systems

Introduction

Traditional design tools and regulations are based on zero–clearance analysis and are inadequate to account for the influence of contact loss. The recent developments of the theory of vibro–impact dynamics form an excellent foundation to modify the design tools of mechanical and electromechanical systems with clearances, backlash and free–play nonlinearities. Examples of such systems include mechanical joints in space truss structures, free–play in aerospace control surfaces, rub–impact in rotating machinery, and impact micro–actuators. The recent developments of the dynamic characteristics of these systems will be assessed in this chapter. Another important application is the human vocal fold collision and its effect on the tissue damage. Some nonlinear two–dimensional models of vocal folds will be discussed. This chapter is closed by a brief review of other applications including cutting tools and machines, gear rattling, and multi–body systems.