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Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory

Author

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  • Muneerah Saad AL Nuwairan
  • Saira Javed
  • Kenan Yildirim

Abstract

The focus of this study is to analyse the free vibration of cylindrical shells under third-order shear deformation theory (TSDT). The constitutive equations of the cylindrical shells are obtained using third-order shear deformation theory (TSDT). The surface and traverse displacements are expected to have cubic and quadratic variation. Spline approximation is used to approximate the displacements and transverse rotations. The resulting generalized eigenvalue problem is solved for the frequency parameter to get as many eigenfrequencies as required starting from the least. From the eigenvectors, the spline coefficients are computed from which the mode shapes are constructed. The frequency of cylindrical shells is analysed by varying circumferential node number, length dimension, layer number, and different materials. The authenticity of the present formulation is established by comparing with the available FEM results.

Suggested Citation

  • Muneerah Saad AL Nuwairan & Saira Javed & Kenan Yildirim, 2021. "Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory," Journal of Mathematics, Hindawi, vol. 2021, pages 1-13, December.
    • Handle: RePEc:hin:jjmath:3792164
    DOI: 10.1155/2021/3792164
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