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Forced axisymmetric vibrations of a thick circular rigidly fixed piezoceramic plate

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Abstract

A new closed-form solution of the axisymmetric nonstationary problem of elasticity is constructed for a circular thick piezoceramic plate whose outer cylindrical surface is rigidly fixed. The use of mixed boundary conditions for a curvilinear plane allows one to obtain sufficiently simple computational relations. The closed-form solution is constructed by the method of expansion in the vector eigenfunctions in the form of a structure algorithm of finite transformations. The obtained solutions are used to determine the natural vibration frequency, the stress-strain state of the considered element, and all characteristics of the induced electric field.

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Authors and Affiliations

  1. Samara State Architecture and Civil Engineering University, ul. Molodogvardeyskaya 194, Samara, 443001, Russia

    D. A. Shlyakhin

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  1. D. A. Shlyakhin
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Correspondence to D. A. Shlyakhin.

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Original Russian Text © D.A. Shlyakhin, 2014, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2014, No. 4, pp. 90–100.

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Shlyakhin, D.A. Forced axisymmetric vibrations of a thick circular rigidly fixed piezoceramic plate. Mech. Solids 49, 435–444 (2014). https://doi.org/10.3103/S0025654414040086

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  • DOI: https://doi.org/10.3103/S0025654414040086

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