Vibration Characteristics Analysis of Axially Moving Membrane Considering Temperature Effect

Thin membrane structure materials have been applied in aerospace vehicles, optical displays, as well as biomedicine. However, the thin membrane is significantly susceptible to vibrations attributed to loads (e.g., environmental temperature variations during the preparation), which reduces the efficiency and accuracy of thin membrane preparation. This study investigates the linear free vibration characteristics exhibited by the axially moving flexible thin membrane under the temperature effect. The D’Alembert principle is referenced to yield differential equation of motion of the axially moving thin membrane that introduces the temperature effect. After the dimension is normalized, it is simplified into a dimensionless mode differential equation. The differential quadrature method is adopted to solve the differential equation of motion of the four sides simply supported boundary condition, and this study analyzes the effect of the vibration characteristics exhibited by the moving flexible thin membrane under the changes of the dimensionless temperature coefficient and tension ratio of the thin membrane system. Furthermore, the critical velocity of instability, unstable operation interval and stable recovery velocity of the moving thin membrane are determined under the temperature effect.