轴向运动复合材料圆柱壳的非线性振动研究

采用Runge-Kutta法和多尺度法对轴向运动分层复合材料薄壁圆柱壳的非线性振动特性进行了研究.首先根据层合壳理论建立轴向运动分层复合材料薄壁圆柱壳的波动方程,利用Galerkin法对方程进行离散,得到相互耦合模态方程组.然后应用Runge-Kutta法分析了不同参数条件下的幅频特性曲线,得到了系统由于固有频率接近所...

STUDY ON THE NONLINEAR VIBRATION OF AXIALLY MOVING CYLINDRICAL SHELLS MADE FROM COMPOSITES

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.