Study of nonlinear vibration characteristics and stability of printing moving film

The nonlinear vibration characteristics and stability of the printing moving film is studied. The transverse vibration differential equation is derived according to the D´Alembert principle and dispersed by using the differential quadrature method. The stability of an axially moving film under variable tension is studied based on the Floquet theory. The large deflection vibration equation of axially moving film is deduced based on the theory of elasticity, large deflection vibration of the moving rectangle film under clamped boundary is studied by semi-analytic weighted residual method namely Bubnov-Galerkin method, and the frequency of nonlinear large deflection vibration is calculated.