Nonlinear vibrations of sandwich shells of revolutions with carbon nanotubes reinforced composite faces and fused deposition processed honeycomb core

The dynamic behavior of sandwich shells of revolution with carbon nanotube (CNT) reinforced faces and honeycomb core manufactured by fused deposition modeling are analyzed numerically. The every layer vibrations of the sandwich shell are described by three displacements projections and two rotations angles of the middle surface normal. The layers displacements are described by the expansion up to the quadratic and cubic terms of the transverse coordinates. The shells of revolution nonlinear vibrations are described by the system of nonlinear ordinary differential equations, which is obtained by assumed-mode method. The combination of shooting technique and continuation are used for nonlinear vibrations numerical analysis.