A comparison of the effects of nonlinear damping on the free vibration of laminated circular cylindrical shells

Resumo

Knowing the damping level is important for the analysis, experimentation, and use of the systems. Most
of laminated shells studies are concerned with viscous damping, however in several engineering applications the
nonlinear damping is introduced by dissipative forces. For this reason, in this study the influence of the nonlinear
damping term proportional to the power of velocity on the free vibration of laminated circular cylindrical shells is
considered. To model the shell, the Donnell nonlinear shallow shell theory is used, and from energy approaches
the set of nonlinear ordinary differential equations of motion is obtained, and then solved by Runge-Kutta method.
For these analyzes is considered expansions to describe the axial, circumferential and radial displacements
totalizing fourteen degrees-of-freedom. The obtained results show that nonlinear damping have a great influence
on the attenuation of free vibration of the laminated circular cylindrical shells.