On free vibration of a functionally graded piezoelectric rectangular plate |
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Authors: | W Q Chen and H J Ding |
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Affiliation: | (1) Present address: Department of Civil Engineering, Zhejiang University, 310027 Hangzhou, P.R. China |
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Abstract: | Summary On the basis of three-dimensional theory equations of transversely isotropic piezoelasticity, two independent state equations with variable coefficients are derived. To this end, separation formulae for displacements and shear stresses are employed. A laminated approximation is used to transform the state equations to the ones with constant coefficients in each layer. The free vibration problem of a piezoelectric rectangular plate with a functionally graded property is then investigated. Discussion on the boundary conditions is presented. |
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