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

Abstract

This paper investigated the vibration of a printed electronic laminated membrane subjected to pretension and air resistance in thermal environments. First, a mathematical model for the moving printed electronic laminated membrane is established, which considers the inhomogeneity of the tension at both ends of the membrane. The model equilibrium governing differential equation is obtained according to the classical laminate plate theory and Hamilton’s principle. The differential quadrature method is used for numerical calculation, and the effects of the aspect ratio, x-axis tension, thermoelastic coupling coefficient, dimensionless air resistance, and other parameters on the vibration of simply supported opposite sides and free opposite sides of a printed electronic laminated membrane are analyzed. The model’s accuracy is verified by comparison with the results reported in the literature. This study can provide theoretical guidance for setting printing equipment parameters and improving the transport stability of roll-to-roll printed flexible electronic laminated membranes.