An exact series solution for free vibration of cylindrical shell with arbitrary boundary conditions https://doi.org/10.33108/visnyk_tntu2018.01.079
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Abstract
Simple accurate formulas for the natural frequencies of circular cylindrical shells are presented for modes in which transverse deflection dominates. Based on the Donnell-Mushtari thin shell theory the equations of motion of the circular cylindrical shell are introduced, using series expansion for axial coordinate and Fourier series for the circumferential direction, a simple explicit solution is obtained. Also, the influence of deformation component is investigated, it is shown that it can be neglected. Good agreement with experimental
data and FEM is shown. The advantage of a current approach over the existing formulas is simplicity in programming.
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