Abstract
Free transverse vibration of a semi-infinite sandwich plate having a core of linearly varying thickness and symmetrical faces of constant thickness is considered. The faces are treated as membranes. The flexural rigidity, transverse shear and rotatory inertia of the core are taken into account. The equations of motion derived by Hamilton's energy principle are solved by the spline technique. Frequencies and normalized transverse deflections for the first four normal modes of vibration are computed with the taper angle and thicknesses of the faces and the core varying in such a way that the total weight of the plate remains constant.
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