Abstract
The non-stationary coupled problem of electroelasticity in connection with the dynamic twisting of a finite hollow cylinder of non-homogeneous piezoelectric material is considered in the case when the electric potential or shear stresses, which depend arbitrarily on time, are specified on its curvilinear surfaces. The method of expansion in eigen vector-valued functions in the form of a structural algorithm of finite integral transformations is used. It is shown that a closed solution can be obtained for a power law of the non-homogeneity of the electric, elastic and inertial characteristics of the material. The results obtained hold for crystals of tetragonal symmetry of class 422 and the hexagonal system of class 622.
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