Control Analysis And Experimental Research Of The Vibration Energy Of Axially Moving String System

Axially travelling string systems are widely used in mechanical engineering, such as tape, cargo conveyor belt, band saw, tethered satellite, band-saws, cable car, etc. Transverse vibrations of these systems have limited their applications. Therefore, understanding the transverse vibration of axially travelling string system is important for the design of the device. This paper is supported by the National Natural Science Fund Project "research on parametric vibrations of axially travelling string system with time varying degrees of freedom and experiment" (No.51305115). Transverse vibration of the string system is analyzed for the constant and varying length situation, and its transverse vibration energy damping method was presented.In this paper, axially travelling string system is researched. Firstly, modeling axially moving string system by mechanics analysis method, and using Hamilton’s principle to establish dynamic equation. Then, calculate transverse vibration energy of the axially moving string system for the constant length, and make derivation of the total energy expression on the time, achieve the conditions in the total energy constant decay with time, lists the form and position of the control force should be applied in accordance with the given conditions. For the axially moving string system with varying length, using variable substitution method, to make displacement variable is no longer limited by the time variable, and proposed a transverse displacement expression fitted boundary conditions. On this basis to analyze the vibration characteristics of transverse vibration energy. Finally, in accordance with the experimental requirements, design and experimental platform, then analysis and experimental verification of the correctness. The research provides a theoretical basis for the design of axially travelling devices in engineering.