多点粘贴压电层合梁的数值模拟  

Simulation of laminated beam mounted with multiple piezoelectric elements

作　　者：曲磊[1] 王建国[1] 丁根芳[1] 覃艳[1] 

机构地区：[1]合肥工业大学土木与水利工程学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2011年第4期541-544,570,共5页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(10572046)

摘　　要：文章从压电本构方程出发,借助Hamilton原理建立了压电层合结构的有限元方程,采用二维四结点四边形压电耦合单元,运用ANSYS/APDL语言编制了适用任意组压电片粘贴于智能结构表面的力-电多场有限元分析程序(MPFEMP);在验算退化模型正确的基础上,计算了由压电片、面层材料和主体材料粘贴而成的5层复合梁,提供了粘贴1组压电片和2组压电片的层合梁在不同边界条件下,压电片的长度和位置变化对梁变形影响的计算结果,给出了梁前5阶闭环自振频率和C-F下的振型图。所得结论对考虑黏结层效应的层合压电结构的设计具有一定的参考价值。In view of the piezoelectric constitutive equations,the finite element equations of laminated piezoelectric structure are derived by the application of Hamilton principle.Based on two-dimensional four-node quadrilateral piezoelectric coupling elements,the mechanical-electric multi-field finite element program is developed by the use of ANSYS/APDL language,which is suitable to any set of piezoelectric element to be mounted to the surface of smart structure.Based on the analysis of a degraded model,a five-layer composite beam mounted by piezoelectric element,surface layer material and base material is calculated.The calculation results of the influence of the change of piezoelectric element＇s length and position on the beam deformation with different boundary conditions are presented,taking into account one set or two sets of piezoelectric elements.The vibration chart of the beam under the closed-loop free vibration frequency of top five orders and C-F condition is made.This program is helpful for the design of laminated piezoelectric structure with mounting effect.

关 键 词：多点粘贴 压电梁 有限元 变形 自振频率 

分 类 号：O343.9[理学—固体力学]