Static and dynamic analysis of plates in cylindrical bending through displacement and mixed approaches

ABSTRACT

This work analyzes the influence of edge-boundary conditions on the static and dynamic behavior of isotropic and cross-ply plates in cylindrical bending conditions. The main concern of the analysis is addressed to dynamic problems (free vibrations) along with certain boundary conditions that seem to be mainly responsible for a low convergence of the eigenvalues to the exact values. The interest on the static behavior comes from the inherent sensitivity of related quantities, which can both be compared with previous studies and can better elucidate such a low convergence. The analysis is carried out within the frame of the three-dimensional theory by using different variational formulations based both on assumed displacements and/or stresses along with the attempt to unify the comparison of the different formulations. The numerical results/performance of such formulations are also compared to those achieved through alternative models.

Keywords:

• free vibrations
• plates
• three-dimensional analysis
• cylindrical bending

Acknowledgments

Professor Romesh Batra is acknowledged for having brought to the attention of the author reference [8] through which an interesting comparing and elucidating base was made available. Professor Santosh Kapuria is also acknowledged for having made available the results of reference [12] before its appearance in open literature. Finally, Professor Giorgio Zavarise, departmental colleague, is acknowledged for the interesting discussions we had on finite elements hybrid/mixed models.