Consider a piezoelectric shell with a middle surface S and a thickness h as described in Section 5.1. For simplicity we assume that the material of the shell is transversely isotropic and homogeneous (the piezoceramic shell with thickness polarization). Let the face surfaces of the shell be covered by electrodes, and the time-dependent voltage, ϕ0(t), be specified on them. The problem is to construct a two-dimensional theory of piezoceramic shells that enables one to determine their resonant vibrations in a wide range of frequencies.
KeywordsCylindrical Shell Circular Plate Barium Titanate Middle Surface Principal Term
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