Ritz-type dynamic analysis of cross-ply laminated circular cylinders subjected to different boundary conditions

This paper extends the applicability of the Ritz-type method presented in a previous publication [1] towards an advanced study of the influence of the edge boundary conditions on the vibration characteristics of complete, cross-ply laminated cylindrical shells. The analysis is based on a combination of the Ritz method with appropriate, complete bases of orthonormal polynomials and its subsequent application on the energy functional of the love-type version of a unified shear-deformable shell theory. As a result, two different kinds of shear deformable Love-type shell theories are employed, including versions that either fulfil or violate the continuity of the interlaminar stresses through the shell thickness. Apart from the study of the physical problem itself, several features related to the theoretical model as well as to the analytical procedure are further addressed and investigated. As far as the modelling is concerned, particular emphasis is given to the version of the parabolic shear deformable shell theory that considers continuity of interlaminar stresses. Moreover, the relation of this version of the theory as well as its performance with respect to the corresponding older version that violates this continuity requirement [8] is further investigated. It is concluded that the accurate modelling of the interlaminar stress distribution may become a serious issue for further investigation, as it already is for the stress analysis of laminated composite structural elements.

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