Abstract
The free vibration of sandwich plates of variable thickness is investigated. In this analysis, the face plates are treated as shallow shells which can withstand both membrane forces and bending moments, and the core is assumed to be inextensible in the thickness direction and to provide resistance to transverse shear stresses only. Displacement continuity conditions are used at the interfaces between face plates and the core to derive the displacement field. Energy formulations are obtained and solved by the isoparametric finite element method. Numerical results are compared with existing results for special cases, and also we presented to show the effects of taper constant, face plate thickness and boundary condition on natural frequencies.
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