Symplectic wave-based method for free and steady state forced vibration analysis of thin orthotropic circular cylindrical shells with arbitrary boundary conditions

The symplectic wave-based method is extended to the free and forced vibration analysis of thin orthotropic circular cylindrical shells with arbitrary boundary conditions. The key of this extension is to derive the characteristic equation for thin orthotropic circular cylindrical shells so that the symplectic eigenproblem which gives wave modes can be formed. According to the phase coincidence condition which determinates the relationship between the wave modal shape and natural modal shape, the present method gives an analytical procedure for free vibration analysis. And steady state forced responses under arbitrary boundary conditions are obtained by using the wave propagation analysis based on the symplectic system. Compared with the existing methods for vibration analysis of thin orthotropic circular cylindrical shell, the present method shows better accuracy and convergence, especially for high-frequency vibrations, which is illustrated by the results shown in numerical examples.