Vibration Analysis of Cylindrical Shells Fully Treated with Constrained Layer Damping Using Kelvin-Voigt’s Model

The purpose of this study is to analytically study the behavior of the cylindrical shells fully treated with passive constrained layer damping (PCLD) to indicate the effects of various parameters on the damping and vibrational characteristics of such structures. A thin shell theory in conjunction with the Donell assumptions is employed for the shell and the constraining layer (CL) and the first order shear deformation theory (FSDT) is used for the viscoelastic layer to construct the model. The effects of rotary inertia and shear deformations are also considered for the viscoelastic layer. The complex modulus of the viscoelastic material is taken into account by implementing the Kelvin-Voigt model. The governing partial differential equations of motion are derived by Hamilton's principle and transformed into a set of ordinary differential equations through the Galerkin approach. Numerical results are presented and compared with similar works in the literature.