Non-classical vibration behavior of highly anisotropic corrugated laminates

This paper presents a detailed investigation about the vibration behavior of corrugated laminates. In highly anisotropic corrugated laminates different non-classical vibration modes were observed and are reported in this work. Apart from in-plane modes, we show in particular shear rotational modes which occur due to the high anisotropy, the distribution of mass, and the influence of the shear compliance. The work contains a detailed FEM study, a comparison with an equivalent plate model and an analytical model and examines the limitations of the latter two. It points out for which geometry and material parameters the well known and often used homogenized plate models are applicable. Parametric studies are conducted investigating the influence of the corrugation amplitude, the aspect ratio, the anisotropy of the material, and boundary conditions on the vibration behavior. The found results can be used for the design of highly anisotropic corrugated laminated plates and the analysis of their vibration behavior.