Transverse Vibration Characteristics and Stability of a Moving Membrane with Elastic Supports

TLDR: In this article, the authors investigated the transverse vibration characteristics and stability of a moving membrane with several intermediate elastic supports considering the translating speed of the moving membrane and derived motion equations of the vibration system according to the membrane vibration theory and the D'Alembert principle.

Abstract: The transverse vibration characteristics and stability of a moving membrane with several intermediate elastic supports are investigated considering the translating speed. The motion equations of the vibration system are derived according to the membrane vibration theory and the D'Alembert principle. The constraint of the middle printing roller to the membrane is used as the intermediate support which is replaced by the constraint force. And the vibration characteristic equation is established by using Laplace transformation method and the numerical calculation method. Finally, the relationships between the natural frequency of the moving membrane and the translating speed, tension, supporting position and rigidity modulus are analyzed respectively, and the critical speed when the membrane is in a stable state is obtained. The conclusions provide a theoretical basis and effective approaches for improving the work stability of the printing press.