Transfer matrix method for analyzing vibration and damping characteristics of rotational shell with passive constrained layer damping treatment

The first order differential matrix equations of the host shell and constrained layer for a sandwich rotational shell are derived based on the thin shell theory. Employing the layer wise principle and first order shear deformation theory, only considering the shearing deformation of the viscoelastic layer, the integrated first order differential matrix equation of a passive constrained layer damping rotational shell is established by combining with the normal equilibrium equation of the viscoelastic layer. A highly precise transfer matrix method is developed by extended homogeneous capacity precision integration technology. The numerical results show that present method is accurate and effective.