Abstract

An analysis is presented for the free vibration of an oblique rectangular prismatic shell. For this purpose, the shell is transformed into a right shell of uniform axial length by a transformation of variables. The deflection displacements of the transformed shell are expressed in a series of the products of the eigenfunctions of an axial beam and a circumferentially cranked beam. The dynamical energies of the shell are evaluated, and the frequency equation is derived by the Ritz method. This method is applied to a free-clamped oblique shell truncated by a plane, and the natural frequencies and the mode shapes are calculated numerically up to higher modes.

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