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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/4912

Title: Theory of longitudinally polarised piezocomposite rod based on Mindlin-Herrmann model
Authors: Shatalov, M
Fedotov, I
Tenkam, HM
Fedotova, T
Keywords: Mindlin-Herrmann mode
Lateral displacement
Piezoelectric
Piezocomposite rod
Lateral displacement
Issue Date: Sep-2010
Citation: Shatalov, M, Fedotov, I, Tenkam HM et al. 2010. Theory of longitudinally polarised piezocomposite rod based on Mindlin-Herrmann model. 11th Pan-American Congress of Applied Mechanics. Foz do Iguaçu, PR, Brazil, 04-08 January 2010, pp 6
Series/Report no.: Workflow request;5860
Abstract: The conventional theory of the piezoelectric rod is based on an assumption that its lateral vibrations are negligible. In this case the rod, vibration could be described in terms of one-dimensional wave equation and a set of mechanical and electric boundary conditions. However, the main assumption of the model is only valid in the case of long and relatively thin rods. As a rule, the linear dimensions of piezoelectric components used in real transducers are comparable with the characteristic dimensions of their cross-sections, and hence, their lateral displacements have to be taken into consideration. In the present paper, the theory of the piezoelectric rod is developed on the basis of the Mindlin-Herrmann model. In the frame of this theory, the longitudinal and lateral displacements are described by two independent functions and vibration of the rod is obtained in terms of a system of two partial differential equations. The Hamilton variational principle is used for derivation of the system of equations of motion and for obtaining the mechanical and electric boundary conditions. On the basis of the formulated Mindlin-Herrmann model, the electric impedance of the piezoelectric rod is calculated. Possible generalizations of the proposed approach are considered and conclusions are formulated. An example of the application of the piezoelectric rod based on the Mindlin-Herrmann theory is given.
Description: 11th Pan-American Congress of Applied Mechanics. Foz do Iguaçu, PR, Brazil, 04-08 January 2010
URI: http://hdl.handle.net/10204/4912
ISBN: 9788585205980
Appears in Collections:Aeronautic systems
Advanced mathematical modelling and simulation
General science, engineering & technology

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