Exact analysis of axially polarized piezoelectric ceramic cylinders with certain uniform boundary conditions
نویسندگان
چکیده
Three exact solutions to the axisymmetric equations governing axially polarized cylinders are first presented. Two of them are the first terms in Bessel and Fourier series expansions of arbitrary boundary conditions on the flat and curved surfaces, respectively. The third is needed to model clamped boundaries. Then, it is shown that cylinders with arbitrary lengthto-radius ratio and certain uniform boundary conditions can be exactly analysed using only these solutions. Other boundary conditions can be satisfied in an average sense. Numerical results are also presented and they are in good agreement with those obtained using ATILA – a finite element program. The solutions presented here together with other solutions can be used to satisfy arbitrary boundary conditions on all surfaces.
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