Abstract：Runge-Kutta method and multiscale method were used to study nonlinear vibration characteristics of axially moving multi-Layered cylindrical shells made from composites. A nonlinear wave vibration equation of the thin cylindrical shell made from composites was established firstly, taking multilayer and axially movement into account, based on layered shell theory. The equation was discretized by Galerkin’s method and then interconnected modal equations were obtained. Runge-Kutta method was applied to analyze curves of amplitude-frequency characteristic with different parameters. The results show some nonlinear properties of the system such as the phenomenon of internal resonance due to two closed natural frequencies and soft feature. Finally, multiscale method was introduced to investigate approximate analytical solutions of the system with 1:1 internal resonance. The results indicate that excitation amplitude, damping and speed can affect response amplitude, range of interval resonance, coupling between two modes and soft feature of the system. Conclusions with different methods coincide and stability of the system is further discussed.
2011, Vol. 32 
