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Archive of Applied Mechanics

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27-07-2022 | Original

Free vibration of simply supported piezoelectric plates containing a cylindrical cavity

Authors: U. Babuscu Yesil, N. Yahnioglu

Published in: Archive of Applied Mechanics | Issue 9/2022

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Abstract

The problem of a piezoelectric body with a cylindrical cavity is studied within the framework of the 3D exact equations of electro-elasticity theory using Hamilton’s principle. It is supposed that the plate has simply-supported, mechanical and short-circuit conditions with respect to the electric potential along all its lateral edge surfaces. The solution to the corresponding free vibration problems is determined numerically by 3D FEM with the help of programs and algorithms composed by the authors. This paper successfully identifies the hole (cavity) size, volume fraction and location in finite piezoelectric plates as well as the coupling effect between the mechanical and electrical fields on the natural frequencies. The numerical results that confirm the effectiveness of the proposed method for cavity identification in piezoelectric plates are presented in detail.

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Title: Free vibration of simply supported piezoelectric plates containing a cylindrical cavity
Authors: U. Babuscu Yesil
N. Yahnioglu
Publication date: 27-07-2022
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 9/2022
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-022-02207-0

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