Dynamics Characteristics And Control Of Flexible Printing Electronic Traveling Membrane

Roll-to-roll printing flexible electronics products have the advantages of low cost,greening,mass production.It can replace problems of the traditional electronic products such as complicated preparation process,serious raw material loss,high energy consumption and serious environmental pollution,which is widely used in organic photovoltaic cells,wearable flexible electronics,smart sensors,aerospace.It has broad application prospect.Due to the transmission of the flexible printing electronic membrane in the tensioned state during the roll-to-roll printing preparation process,the flexible printing electronic membrane is susceptible to environmental temperature and magnetic field,nonlinear electrostatic force during drying and curing,uneven distribution of printed circuits on the membrane substrate,intermediate support,transmission speed and other factors will cause unstable phenomena such as interlayer slip,lateral vibration,and wrinkles,which significantly influences the overprint accuracy and quality of the printing electronics.It has become a bottleneck problem restricting the stable transmission of membrane and accurate overprint in the preparation of flexible printing electronics.This paper takes the membranes of roll-to-roll Chuanqi smart RFID printing equipment and the Shaanxi Beiren CL80 photovoltaic backplane coating compound machine as the research objects,and the stable transmission and vibration control of traveling flexible printed electronic membrane as the goal.These following researches are mainly carried out:(1)The intermediate support effect of roller on the formation of printed electronic membrane in roll-to-roll preparation is studied.The energy functional equation of the traveling printing electronic membrane is deduced by using the Hamilton principle.The Gauss-Lobato method is used to discretize the energy functional equation,and the discrete governing equation is established.The mixed interpolation basis function of curved edge orthogonal layered higher-order tensor product constructed by the new p-type higher-order quadrature spectrum method is used to solve the governing equation,and the characteristic curve of the natural frequency of the traveling printing electronic membrane is obtained.The influences of the boundary shape,constraint type,intermediate support position and transmission speed on the vibration characteristics of the printing electronic membrane are analyzed,and the stable working ranges of the system are determined.(2)The stability criterion of the traveling printing electronic membrane with damping term is investigated.Based on the theory of Hamiltonian perturbation and Melnikov method,the orbital parameter Melnikov function of the printed electronic membrane two-dimensional partial differential vibration equation is established,and the equations of different and homoclinic orbital parameters are solved,the chaotic threshold of the system is determined,and the chaotic state in the sense of the Smale horseshoe of the system is obtained.This study has a guiding significance to divide the stable state domain of the critical chaotic edge of the printing electronic traveling membrane and the classification of the system instability type.(3)The nonlinear main resonance and bifurcation problems of the printing electronic traveling membrane with uneven density are examined.According to the energy method,the large-deflection nonlinear equation is established,and the improved multi-scale method and the Routh criterion are used to solve the nonlinear equation and the Jacobian matrix eigenvalues.The curve of nonlinear main resonance amplitude with parameter characteristic of the traveling printing electronic membrane and the stability conditions of the system with periodic changes are obtained.The effects of the membrane density coefficient,speed,external damping,excitation force,and detuning parameter conditions of the nonlinear main resonance and bifurcation of the system are explored,and the mechanism of nonlinear main resonance and bifurcation of the traveling printing electronic membrane are revealed.(4)The nonlinear vibration of the traveling printing electronic membrane under the action of magneto-electrical-thermal coupling is analyzed.According to the multi-physics dynamic coupling theory,the nonlinear motion equation of the traveling printing electronic membrane is established,and the Bubnov-Galerkin method is used to deduce it.The discrete form of the equation of motion is solved by the fourth-order Runge-Kutta method,and the bifurcation diagram,phase diagram,Poincare diagram,time history diagram,and Lyapunov exponent diagram are obtained.The effects of speed,electrostatic alternating voltage,magnetic induction,and temperature coupling coefficient on the nonlinear vibration of the membrane are discussed,and the evolutionary law of the nonlinear phenomena such as chaos and bifurcation of the system under the coupling action is determined.(5)The active vibration control of printing electronic membrane with variable speed is studied.The mathematical model of the registration system is established,the influence law between the speed change and the registration error is determined,a fractional negative feedback dynamic control strategy is proposed,and the control model of the registration system is obtained,which can effectively control the registration error caused by the interference and realize high precision registration requirements for printed electronics.In summary,this paper studies the vibration characteristics and stability theory of flexible printed electronic traveling membrane.This research provides technical support and theoretical basis for the realization of mass production and green printed electronic products manufacturing,which is of great significance to realize high-precision overprint of printed electronic membrane and improve the preparation quality of printed electronics.