Effects of Damping in a Viscoelastic Shell under Moving Internal Pressure Based on Perturbation Theory

Previous studies indicate that analyses conducted on shells under moving compressive loads have predominantly focused on elastic materials, whereas a wide range of materials around us exhibit viscoelastic behavior. Understanding the mechanical behavior of these materials is of great importance due to their distinct responses compared to elastic materials. Additionally, most works in this area deal with thin-walled shells, often neglecting shear deformation, and solve the problems primarily using numerical methods. The present research investigates the effects of damping on the displacement field of a thick-walled viscoelastic shell subjected to moving internal pressure, employing perturbation theory. The governing equations are derived using Hamilton’s principle and the standard linear solid model to represent the viscoelastic properties of the shell, incorporating first-order shear deformation theory. These equations form a coupled system of partial differential equations. Finally, the system is solved using perturbation theory, and the effects of damping on the displacement field are analytically determined based on a power series expansion.

کلیدواژه ها:

Damping ، Viscoelastic Cylinder ، Moving Pressure ، Displacement Field ، Perturbation Theory