A variational energy approach for electromechanical analysis of thick piezoelectric beam

作     者：LAU C.W.H. LIM C.W. LEUNG A.Y.T 

作者机构：Department of Building and Construction City University of Hong KongDepartment of Building and Construction City University of Hong Kong Hong Kong ChinaDepartment of Building and Construction City University of Hong Kong Hong Kong China Hong Kong China Department of Construction Institute of Vocational Education (Tsing Yi) Hong Kong China 

出 版 物：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 (浙江大学学报（英文版）A辑（应用物理与工程）)

年 卷 期：2005年第6卷第9期

页      面：962-966页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 

基　　金：Project (No. 7001687 (BC)) supported by City University of HongKong  China 

主　　题：Energy Electromechanical Linear piezoelectricity Ritz method Thick beam 

摘      要：A new two dimensional coupled electromechanical model for a thick, laminated beam with piezoelectric and isotropic lamina subjected to static external electric loading is developed. The model combined the first order shear deformation theory for the relatively thick elastic core and linear piezoelectric theory for the piezoelectric lamina. The actuation response is induced through the application of external electric voltage. Rayleigh-Ritz method is adopted to model the displacement and potential fields of the beam and governing equations were finally derived from the variational energy principle. The model allows the piezoelectric lamina to be formulated via a two-dimensional model because of the strong electro-mechanical coupling and the presence of a two-dimensional electric field. Numerical examples of piezoelectric laminated beam are presented. It is shown in this paper that a one-dimensional model for the piezoelectric beam-like layer is inadequate.