Analysis of axial symmetric circular cylindrical shell vibrations using high-order theory to approximate transverse displacement by finite element

Authors

Flight and Engineering Department, Imam Ali University

Abstract

In this study, vibration analysis of axial symmetric circular cylindrical shell has been investigated. The high-order theory is used to approximate the transverse displacement in this study. Hence, the transverse displacement based on the Fourier expansion is extended to three terms. Due to the symmetry of the cylindrical shell, only the axial mode has been investigated. The strain and kinetic energies are obtained for the circular cylindrical shell. The Hamiltonian principle was used to derive the equations of motion. The stiffness and mass matrices have been obtained by applying Galerkin method and finite element method. For this purpose, the linear shape function is used for all unknowns. In order to validate the research, comparing the axisymmetric frequencies of the results with previous studies has been used. Finally, the axisymmetric frequencies and axial mode shapes of the circular cylindrical shell for various boundary conditions are given, including simply support-simply support, clamped-clamped, clamped-simply support and clamped-free.

Keywords

References

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Journal of Solid and Fluid Mechanics
Volume 11, Issue 2
May and June 2021
Pages 87-97

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