Modeling And Control Design Of Axially Moving Belt

With the development of human civilization and the fast pace of life, the axial moving belt has been used in many engineering field. For example, the conveyor belt, paper tape, tape and elevator cable and so on. All of these are used to bring us convenience. When ignoring bending stress, the structure in the real life can be simplified as an axially mo ving belt. Since the axially moving belt has small stiffness, low damping and geometric nonlinear feature, it will easily be made to vibrate unstably, which is caused by small elastic deformation, when the belt is disturbed or in large motion. The vibration will not only influence the precision and efficiency of system, but also speedup the fatigue damage of structure which seriously shortens the service life of materials and brings economic losses. Because of the developing of the engineering technology of conveyor belt, crawler, elevator cable, the vibration control research of the axially moving belt has been concerned at home and abroad.In this paper, author chose the axially moving belt of SMT as the research object, then deal with vibration of axially moving belt control problem by using active boundary control method. The following is the main contents of this paper.1. Axially moving belt is a kind of typical distributed parameter systems and its mathematical model is a set of partial differential equations. In the following paper, Hamilton theory will be used to deduct the geometric nonlinear dynamic model of axially moving belt.2. The closed-looped stability and the uniform boundedness are proved based on Lyapunov direct method. And we will design kinds of controller acting on the terminal of belt. The control method designed can make the axially moving belt stay uniform boundedness with the external disturbance, thereby avoiding control overflow and stability problems based on truncation model.3. By using the finite difference method, we take a simulation of the axially moving belt added in control. Through the simulation results, we ananlyse different moving speed, and prove the feasibility of the control strategy adopted in this paper.