High-frequency response of isotropic-laminated cylindrical shells modeled by a layer-wise theory

Abstract

In this paper, the high-frequency response of isotropic-laminated cylindrical shells is investigated using a layer-wise theory. The cylindrical shell is discretized in an arbitrary number of layers in the radial direction, and a three-dimensional stress state is assumed in each layer. Approximate numerical results obtained by the layer-wise theory are compared with the exact wave-dispersion analytical results. The very good agreement between approximate and exact results indicates that the layer-wise theory can accurately describe of the dynamic response of cylindrical shells in the high-frequency (short-wavelength) range.

Dynamic Variational-Asymptotic Procedure for Laminated Composite Shells—Part II: High-Frequency Vibration Analysis

“…Most of the existing literature focuses on applying approximate theories based on the first range with various numerical methods. However, for the second and third approximations there is little work being done on shells and plates [16,17,18,19]. Refs.…”

“…The latter can be uniquely determined by the deformation of the 3-D body. A new triad (18) subject to the requirement that B i is coincident with b i when the structure is undeformed.…”

“…Following the same procedure as the previous chapter with Eqs. (7), (18), (49) and (217), one can recover the 3-D displacement field through the zeroth-order as…”

“…ij are the components of global rotation tensor from Eq (18). and W 0 is the primary results of high-frequency vibration approximations, such as…”

An accurate C0 finite element model of moderately thick and deep laminated doubly curved shell considering cross sectional warping

“…Basar and Omurtag [2] have used a layerwise model to investigate free vibrations of shell structures. Brage and Rivas [3] have used a layer-wise theory to study the high frequency response of cylindrical laminated shells. Varelis and Saravanos [18] have carried out non-linear response analysis of doubly curved composite shells using a layer wise shell theory with piezoelectric effect.…”