Analytic Model of the Deflection of Piezoelectric Unimorph and Bimorph Structures with Numerical Verification

Author

Elata, David ; Elka, Eyal ; Abramovich, Haim

Author_Institution

Fac. of Mech. Eng., Technion-Israel Inst. of Technol., Haifa

fYear

2006

fDate

24-26 April 2006

Firstpage

1

Lastpage

4

Abstract

The constitutive equations of multi-layered piezoelectric structures are derived in a new form. In this form, the electromechanical coupling is presented as an additional stiffness matrix. This matrix is a true property of the piezoelectric structure and is independent of specific mechanical boundary conditions that may apply to the structure. A novel model of the electromechanical response of such structures is presented. This model accounts for the 3D kinematics of the structure deformation. Solution of example problems using the new model shows excellent agreement with full 3D finite element simulations. These solutions are also compared with the results of previous 2D model approximations presented in literature, and the inaccuracies associated with these previous models are discussed

Keywords

deformation; finite element analysis; piezoelectric materials; piezoelectricity; 3D finite element simulations; 3D kinematics; electromechanical coupling; multilayered piezoelectric structures; piezoelectric bimorph structure; piezoelectric unimorph deflection structure; stiffness matrix; structure deformation; Boundary conditions; Capacitive sensors; Deformable models; Equations; Kinematics; Mechanical engineering; Mechanical factors; Micromechanical devices; Piezoelectric materials; Stress;

fLanguage

English

Publisher

ieee

Conference_Titel

Thermal, Mechanical and Multiphysics Simulation and Experiments in Micro-Electronics and Micro-Systems, 2006. EuroSime 2006. 7th International Conference on

Conference_Location

Como

Print_ISBN

1-4244-0275-1

Type

conf

DOI

10.1109/ESIME.2006.1643989

Filename

1643989