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

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