This paper is concerned with the detailed analysis of the behavior of a piezoceramic bi-morph torsion actuator using the d_(15)-effect.The bi-morph actuator is made of two oppositely polarized adjacent piezoceramic pr...This paper is concerned with the detailed analysis of the behavior of a piezoceramic bi-morph torsion actuator using the d_(15)-effect.The bi-morph actuator is made of two oppositely polarized adjacent piezoceramic prismatic beams.The mathematical analysis is based on the Saint-Venant torsion theory;a formulation of the electromechanically coupled problem in terms of a stress function and of the electric potential is derived,which represents an exact solution of a specific three-dimensional problem;in particular,for the case when the axial stress and the axial component of the electric displacement vector are independent of the axial coordinate.The resulting boundary-value problem in the cross-section is solved using the method of finite differences.Solutions for the actuated rate of twist are presented and compared to three-dimensional electromechanically coupled finite element solutions using ABAQUS®for the case of a cantilevered bi-morph actuator.A very good agreement is found.展开更多
基金Support of the present work in the framework of the Comet K2 Austrian Center of Competence in Mechatronics(ACCM)is gratefully acknowledged.
文摘This paper is concerned with the detailed analysis of the behavior of a piezoceramic bi-morph torsion actuator using the d_(15)-effect.The bi-morph actuator is made of two oppositely polarized adjacent piezoceramic prismatic beams.The mathematical analysis is based on the Saint-Venant torsion theory;a formulation of the electromechanically coupled problem in terms of a stress function and of the electric potential is derived,which represents an exact solution of a specific three-dimensional problem;in particular,for the case when the axial stress and the axial component of the electric displacement vector are independent of the axial coordinate.The resulting boundary-value problem in the cross-section is solved using the method of finite differences.Solutions for the actuated rate of twist are presented and compared to three-dimensional electromechanically coupled finite element solutions using ABAQUS®for the case of a cantilevered bi-morph actuator.A very good agreement is found.
