Optimal design solution for circular multilayered bimorph plates
Authors: Shlyakhin D.A., Ratmanova O.V.
Published in issue: #1(85)/2019
DOI: 10.18698/2308-6033-2019-1-1844
Category: Mechanics | Chapter: Mechanics of Deformable Solid Body
The article reports on the development of the mathematical model for calculating the bimorph plates. It considers multilayered solid stiffened and hinged structures, in which the principle of the inverse piezoeffect is used. The authors have constructed closed solutions to the nonstationary axially symmetric problems of electroelasticity theory for multilayered structures by means of the finite integral transformation method. Based on the analysis of the numerical calculation results the article presents practical recommendations on designing the piezoceramic transducers of resonance and nonresonance classes. We have developed an algorithm for optimizing the work of the considered structures by selecting their geometrical dimensions and the material used. This algorithm allows transforming the applied electric load into mechanical displacement most efficiently. In addition, the presented results make it possible to clarify the assumptions regarding the pattern of the electric field distribution that must be used when designing the bimorph structures of other configurations, the calculation of which is possible only with the help of the applied theories for thin plates
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