Free vibration analysis of laminated cylindrical shells by using Fourier series expansion method

Free vibration analysis of laminated cylindrical shells with arbitrary classical boundary conditions is presented in this article. Strain-displacement relations from Love's shell theory are employed in the analysis. Using Fourier series expansion and Stokes' transformation, frequency determinant of laminated cylindrical shells is derived. Comparisons between the results of the present method and previous studies are performed. Excellent agreement is obtained when enough terms of the infinite Fourier series are considered. As a numerical example, an antisymmetric angle-ply laminated cylindrical shell is considered. The effects of boundary conditions, length-to-radius ratio, thickness-to-radius ratio, and fiber orientation on the natural frequencies are analyzed and graphically presented.