Gasthermalelastic Coupling Vibration And Control Of Flexible Printed Electronic Membrane

Flexible printed electronic thin films are widely used in flexible display,organic photovoltaic cells,intelligent sensors,aerospace and other fields.In the roll-to-roll preparation of the flexible printed electronic film,the substrate film is tensioned and transmitted forward.In the transmission process,different functional materials are applied to the substrate film through printing,high-temperature evaporation and other processes to form the flexible printed electronic film.In the actual production,due to the use of flexible substrate,especially plastic substrate.it is easy to be affcted by external conditions such as tension,temperture change and air resistance,resulting in transverse vibration of the film,resulting in folding phenomenon in the transmission process,which has a serious impact on the flatness and uniformity of the flexible electronic film coating.The mechanical and electrical properties and service behavior of the flexible electronic products are greatly damaged,and the multilayer and multi-material characteristics of the flexible printed electronic film make it show different dynamic behavior from the general structure.Therefore,it has important engineering application value to improve the transmission stability of flexible printed electronic thin film under multiple working conditions by controlling the parameters of the film dynamics system.Specific research contents are as follows:(1)The transverse vibration characteristics of moving flexible printed electronic thin films subjected to pretension and air resistance in thermal emironment are studied.Based on the improved Newton law of internal friction,the aerodynamic model of the moving film was established,and the mathematical model of the moving flexible printed electronic film was established considering the non-uniformity of the tension at both ends of the film According to the classical laminated plate theory and Hamilton’s principle,the governing differential equation of moving film balance is obtained,and the conectness of the equation is verified by comparing with the results in the literature.The effects of the length to width ratio,film tension,thermalelastic coupling coefficient and dimensionless air resistance on the transverse vibration characteristics of the moving flexible printed electronic thin film under the condition that the opposite side is simply supported and opposite side is free were analyzed.(2)The bifurcation and chaotic motion characteristics of a roll-to-roll flexible printed electronic film under pretension in a steady temperature field are studied.Based on Von Karman’s large deflection theory and Hamilton’s principle,the nonlinear vibration differential equation of moving flexible printed electronic thin films under the action of multiple physical fields is derived and numerically solved by fourth-order Runge-Kutta method.By using bifurcation diagram,Lyapunov exponent diagram and corresponding phase diagram,Poincare section diagram and time history diagram,the influence of temperature,air resistance and other parameters on the nonlinear vibration of flexible printed electronic thin films is analyzed.The results show that the motion flexible printed electronic films exhibit a lot of chaos and bifurcation phenomena under the action of coupling field.(3)A fractional-order active control method for lateral vibration of flexible printed electronic thin films is studied.Firstly,the integral order transverse vibration control differential equation of the thin film is established,and the first three order modes and natural frequencies of the thin film are obtained by modal analysis.On the basis of the integer order dynamic equation,the fractional order damping term was introduced to establish the fractional order dynamic equation of the flexible printed electronic thin film,and the fractional order transfer function was obtained by Laplace transformation of the fractional order dynamic equation.The fractional order transfer function was equivalent to the integer order transfer function by Oustaloup filter.Finally,a linear quadratic regulator(LQR)was used to control the transverse vibration of the thin film under pulse excitation.