A STUDY OF VIBRATIONS OF A BIMORPHOUS PLATE FROM PIEZOELECTROMAGNETIC MATERIAL IN AN ALTERNATING MAGNETIC FIELD


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详细

This work presents a study of transverse vibrations of a bimorph consisting of two piezomagnetoelectric layers located in an alternating magnetic field. Piezomagnetoelectric layers are a multilayer composite with alternating piezoelectric and piezomagnetic layers. The mechanical and physical properties of such a composite are specified by effective constants known in the literature. Based on the applied theory of oscillations of a multilayer plate, taking into account the nonlinear distribution of the electric and magnetic potential in the piezoactive layers both in the longitudinal and transverse directions, a study of the stress-strain state, electric and magnetic fields of a hinged bimorph was carried out. The electric potential is assumed to be zero at all electrodes, while the magnetic potential is equal to zero at the inner boundary and is unknown at the outer ones. Thus, the distribution of the electric and magnetic potentials in the middle of the layer is assumed to be unknown functions, and the distribution of the magnetic potential at the outer boundary is also a function to be found. In this task, Kirchhoff’s hypotheses for mechanical characteristics were applied. The variational principle and the quadratic dependence of the electric and magnetic potentials on the thickness of the piezoactive layers is also used in this work. A system of differential equations and boundary conditions was obtained. The resulting boundary value problem was solved by numerical methods. Comparison of the calculation results according to the proposed theory with the flat problem solved in the finite element package FlexPDE in the low-frequency region showed that the error in finding the characteristics of the mechanical and magnetic fields is less than 1 %. In turn, when determining the electric field, the difference was about 5% in the middle part of the plate and 27 % in the vicinity of the support points. This error is due to the fact that the finite element analysis demonstrates a clear nonlinear character of the electric field distribution, while the applied theory is linear.

作者简介

A. Soloviev

Don State Technical University; Southern Federal University

Rostov-on-Don, Russian Federation; Rostov-on-Don, Russian Federation

B. Do

Don State Technical University; Le Quy Don Technical University

Rostov-on-Don, Russian Federation; Hanoi, Vietnam

V. Chebanenko

Federal Research Centre the Southern Scientific Centre of the Russian Academy of Sciences

Email: valera.chebanenko@yandex.ru
Rostov-on-Don, Russian Federation

V. Vasiliev

Don State Technical University

Rostov-on-Don, Russian Federation

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