Free vibration of arbitrary laminated, anisotropic cylindrical shells with finite lengths is studied, using elasticity approach. The coupled partial differential equations are reduced to ordinary differential equations(ODE) by choosing the solution composed of trigonometric functions along the axial direction. Through dividing each layer into thin laminae, the variable coefficients in ODEs become constant. Combining all exact solutions obtained by means of appropriate continuity conditions, the corresponding solution of the exact governing equations is successively approached. Numerical examples are also presented.
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