Vibration and stability analysis of tensioned moving printed electronic laminated membrane under multiple working conditions

Abstract

In this paper, the thermoelastic coupled vibration of roll-to-roll printed electronic laminated membrane under multiple working conditions, such as in a thermal environment, air resistance, and non-uniform tension are investigated. First, a mathematical model of a moving electronic laminated membrane was established, which takes into account the non-uniform tension at each end of the membrane and the non-uniform temperature field. The vibration differential equation of the moving electronic laminated membrane is derived considering the air resistance based on Hamilton’s principle; the differential quadrature method is used to calculate and analyze the effect of the moving electronic laminated membrane aspect ratio, thermoelastic coupling coefficient, air resistance, and other parameters on its vibration and stability. The results show that different parameters of the moving electronic laminated membrane have different effects on its stability, and some parameters are not positively correlated with stability. This study can serve as a theoretical guide for improving the transmission stability and high-precision fabrication of roll-to-roll, flexible electronic laminated membranes.