Vibrations of transversely polarized thin piezoelectric plates

Mels V. Belubekian; L. R. Mkrtchian

doi:10.1117/12.209817

22 May 1995 Vibrations of transversely polarized thin piezoelectric plates

Mels V. Belubekian, L. R. Mkrtchian

Proceedings Volume 2441, Smart Structures and Materials 1995: Smart Materials; (1995) https://doi.org/10.1117/12.209817
Event: Smart Structures and Materials '95, 1995, San Diego, CA, United States

Abstract

A practically important problem of statics and dynamics of piezoelectric media is the development of applied theories of piezoelements deformation, and in the first turn of plates and shells deformation. In the present work free and forced vibrations of thin elastic plates, made of 6 mm class piezoelectric material are investigated. The hypothesis of Kirchhoff, concerning the stress-strain state of the plates is considered to be valid. In contrast to known investigations no assumptions are laid upon the potential of the electric field. From obtained equations it follows that in the general case transverse vibrations and vibrations of generalized plane stress state are connected. Conditions on plates edges and for the potential of the electric field, under which the planar and transverse vibrations are separated, are investigated. Free vibrations of an infinite plate are investigated with different conditions for the electric field on facial surfaces of the plate. Applicability of known assumptions, concerning the change of the electric potential along the plate thickness is discussed. The problem of forced vibrations of a rectangular plate is considered, when periodically variable in time electric field potentials are given on the facial surfaces. For the case of pure planar vibrations, the found resonant frequencies coincide with those known previously. It is shown, that for certain boundary conditions on plate edges pure transverse resonant vibrations are possible.

Citation Download Citation

Mels V. Belubekian and L. R. Mkrtchian "Vibrations of transversely polarized thin piezoelectric plates", Proc. SPIE 2441, Smart Structures and Materials 1995: Smart Materials, (22 May 1995); https://doi.org/10.1117/12.209817

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