A comparison of different nonlinear shell theories for rotating fluid‐filled structures

Rotating fluid-filled shell structures can be used for different applications in technique. Because of spin-softening as well stress-stiffening it is essential to consider geometrical non-linearities. Additionally, shear deformation getting important case thick shells. At this point theories from KIRCHHOFF-LOVE (no deformation) and MINDLIN-REISSNER (first order are compared with each other. For both the nonlinear kinematics shown therewith HAMILTON's principle evaluated receive equations motion. The solution corresponding eigenvalue problem done a global RITZ approach on one hand, other hand local FE-discretization. Different results rotating non-rotating cylindrical shells respect their eigenfrequencies presented compared. Furthermore, experimental data validation.