Abstract

Vibration characteristics of a cylindrically curved thick plate are studied by use of the Timoshenko-type shell theory. The equations of vibration of the plate are written in matrix differential equations of first order by using the transfer matrix of the plate. Once the matrix has been determined by quadrature of the equations the frequency equations are derived with terms of the elements of the matrix satisfying the boundary conditions. The method is applied to curved plates with uniform radius of curvature, and the natural frequencies and the mode shapes of vibration are calculated numerically, from which the dynamic properties of various types of vibration arising in the plates are clarified quantitatively.

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