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The authors answered that they show the electrodes in Fig 1. I don't see these electrodes.
The authors use for axes both designations r, teta z and 3,1,2 . It is very inconvenient. As a consequence of Eg.(4) and Eg.(5) contain errors. I recomended use only r,teta and z.
The boundary condition pU(r)=beta mU is not really.  
These conditions may be only for structur with parallel orientation of layers. But at this case we have series connection magnetostrictive-piezoelectric layers.
The material parameters  for numerical calculations are not cylindrical coordinates. There are values in Cartesian coordinates.
I have already noted that the resonance in Fig 2 can not be associated with radial oscillations. Equation (43) does not appear either from any previous analysis.

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