Abstract:An exact and closed-form solution is obtained for free vibration problems of homogeneous isotropic cylindrical shells, which is under arbitrary boundary conditions and with varied initial stresses in different longitudinal sections. First, the cylindrical shell is divided into multiple sub-shells according to their thicknesses and initial stresses. And the displacement functions of the sub-shell’s middle plane are expanded as trigonometric series in circumferential direction. Then, based on the simplified Donn… Show more
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