Study On Nonlinear Dynamic Characteristics Of Printed Electronic Film

In the production process of printed electronic film,it needs to go through gluing,coating and other processes.At present,the mainstream technology of printed electronic film coating includes gravure coating and rotary coating.For gravure coating,printed electronics can be simplified as axial-moving rectangular electronic film.The printing electronic film will cause transverse vibration in the process of transmission by the guide roller,thus affecting the coating accuracy of the electronic film.The speed of the printing electronic film will change with the change of the radius of the drum,and the surrounding air flow field and temperature field will also change,resulting in the worsening of the vibration of the film.For the rotating coating,the printed electron can be simplified as a rotating motion circular electron film.The centrifugal force in the rotating process of the circular printed electron film will evenly distribute the coating liquid material on the surface of the film,forming a certain thickness.The rotation speed of circular printed electronic film can be controlled from hundreds of rpm to tens of thousands of rpm.At the same time,circular printed electronic film in the coating process will be subjected to hot air drying,its maximum heating and drying temperature can reach 300℃.At present,rotating coating has been widely promoted in the field of coating printing,such as semiconductor integrated circuit photoresist coating,optical disc coating.When the temperature and aerodynamic coupling changes,the vibration characteristics of printed electronic films are very rich,but the dynamic characteristics of moving electronic films under complex working conditions are rarely studied before.Therefore,it is of great engineering value to study the dynamic characteristics of printed electronic film production process for improving the production quality of printed electronic film.In this paper,the dynamics of motion printed electronic thin films under different working conditions are studied.The specific research work is as follows:(1)The thermoelastic coupling vibration characteristics of printed electronic thin films under different supporting conditions were studied.The vibration equation of thin plate based on small deflection bending theory and the heat conduction equation considering the effect of temperature were combined.The vibration differential equations of thermal-elastic coupled printed electronic thin film under parallel bearing and oblique bearing were derived respectively.The differential quadrature method was used to discrete the equations and the boundary conditions.The influence of thermal-elastic coupling coefficient,oblique bearing Angle,follower force and other parameters on the dynamic characteristics of the printed electronic film was analyzed,and the stable interval and the critical interval of the instability of the printed electronic film under different working conditions were obtained.(2)The nonlinear free vibration characteristics of printed electronic thin films under pretension and nonlinear forced vibration characteristics of variable density printed electronic thin films are investigated.The nonlinear free vibration equation of printed electronic thin film was established according to Hamilton principle.The vibration differential equation was calculated by using L-P perturbation method and elliptic integral method respectively.The effectiveness of elliptic integral method was verified,and the influence of variable density coefficient and variable velocity coefficient on the free vibration frequency of printed electronic thin film was analyzed.For the nonlinear forced vibration of the printed electronic thin film with pretension,the dynamic equation was established according to the von-Karman large deflection theory,and the vibration equation was solved using the fourth-order Runge-Kutta method.The bifurcation diagram,TLE diagram,phase diagram and Poincare map of the printed electronic thin film system are simulated numerically to analyze the influence of the system parameters on the motion state.(3)The nonlinear vibration characteristics of printed electronic thin films under aerodynamic and thermal coupling are studied.According to D’Alembert,the vibration differential equation of the printed electron thin film with density changes was established.The Bubnov-Galerkin method was used to discrete the pair dynamic equation,and the fourth-order Runge-Kutta method was used to solve the equation.The effects of dimensionless air resistance,dimensionless pretension,dimensionless tension ratio and other parameters on the nonlinear vibration characteristics of printed electronic thin films were analyzed by using bifurcation diagram,TLE diagram,phase diagram and Poincare map.For the nonlinear vibration of the printed electron thin film under thermal load,the dynamic equation of temperature change was established based on Hamilton principle.The Bubnov-Galerkin method was used to separate the time variable from the space variable in the equation,and the ordinary differential equation of the printed electron thin film with temperature change was obtained.The nonlinear vibration characteristics of the system caused by variable temperature coefficient,dimensionless pretension and dimensionless damping ratio were analyzed by using bifurcation diagram,TLE diagram,phase diagram and Poincare map.(4)The vibration characteristics of viscoelastic printed electronic thin films under aerodynamic and thermal loads are studied.Based on Kelvin viscoelastic constitutive relation and Hamilton principle,the kinetic equations of motion viscoelastic printed electronic thin films were established.The Bubnov-Galerkin method and fourth-order Runge-Kutta method were used to numerically discrete and solve the equations.The vibration characteristics of viscoelastic films under given parameters were analyzed by bifurcation diagram and TLE diagram,and the motion state of the moving film system was obtained by combining phase diagram and Poincare map.(5)The nonlinear dynamic characteristics of circular electronic thin films printed at high speed under ambient temperature change are studied.Firstly,the heat conduction equation of the circular film with temperature change was established according to the absolute node coordinate method.The thermoelastic potential energy of the circular film caused by temperature change was added to the elastic potential energy of the circular film as a whole.The thermodynamic equation with thermal load was solved iteratively by Newton iteration method,and the law of conservation of energy was further verified.The displacement of nodes in the xov plane of the film was analyzed under the action of thermal load.With the increase of ambient temperature,the transverse plane displacement would increase.Finally,the influence of ambient temperature change and angular velocity change on the natural frequency of the circular film was analyzed,providing theoretical basis for the structural design of the rotary coater.