Mathematical modeling of the operation of a cylindrical piezoceramic transformer
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Abstract
Mathematical modeling of a problem about the steady electro elastic oscillations of the cylindrical piezoelectric transformer with generative electrodes section is carried out. The problem is set and solved with attraction of the linear theory of thin electro elastic shells under the mixed electric boundary conditions: electric voltage on one of its parts and a bias current – on another. The expressions, allowing calculating all basic electromechanical characteristics of dynamic process, namely displacements, piezoelectric strength, electric voltages on generative electrodes, are presented
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