The objective of this work is to investigate the wave propagation characteristics
of circular cylindrical shells made of three-dimensional graphene aerogel
(3D-GA). Different distributions of 3D-GA inside the shells are taken into
account. The first-order shear deformation (FSD) shell theory is utilized
to model the present shells. Hamilton’s principle is employed to drive the
equations of motion, which governs the wave propagation behavior of 3D-GA
cylindrical shells. The analytical wave dispersion relations with longitudinal and
circumferential wave numbers are obtained. In addition, detailed parametric studies
are conducted to emphasize the influences of the porosity distribution, the
porosity coefficient, the radius-to-thickness ratio, the applied forces and the
elastic foundation on wave propagation characteristics of 3D-GA cylindrical
shells.