具损伤压电层合微梁的坍塌特性研究  

Study on the Pull-in Characteristics of Piezoelectric Laminated Micro-beam with Damage

作　　者：陈昌萍[1,2] 李良中[1] 胡海涛[2] 钱长照[2] 洪力[2] 

机构地区：[1]湖南大学机械与运载工程学院,湖南长沙410082 [2]厦门理工学院土木工程与建筑学院,福建厦门361024

出　　处：《湖南大学学报（自然科学版）》2016年第8期57-62,共6页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(11272270)~~

摘　　要：以压电层合微梁为研究对象,基于连续介质力学理论和Euler-Bernoulli梁理论,在考虑其尺寸效应和损伤效应的情况下,推导了具损伤压电层合微梁的非线性动力控制方程.采用伽辽金法和龙格库塔法进行求解,分析了多种参数对微梁结构坍塌特性的影响.结果表明,考虑几何非线性项使得损伤微梁具有更高的坍塌阈值电压;控制电压、微梁长度等参数的变化均对损伤微梁的坍塌阈值电压造成影响.最后,采用有限元软件进行仿真模拟计算,验证了理论计算结果的合理性.本文所得结论对微机电系统压电层合微梁结构的设计具有理论指导意义.The nonlinear pull-in behavior of piezoelectric laminated micro-beam was studied with consideration of the size effect and damage effect. Based on the theories of continuum mechanics and Euler- Bernoulli beam hypothesis, the nonlinear governing equation of piezoelectric laminated micro-beam with damage was established and solved in Galerkin method and Runge-Kutta method. The influence of various parameters on the pull-in voltage of the micro-beam was discussed, and the results have shown that the geometry nonlinearity can improve the value of critical pull-in voltage of the micro-beams the changes of governing voltage, micro-beam length and other parameters have influences on the critical pull-in voltage of the micro-beam. Besides,the FEM software was used to carry out the check-up calculations, and the results were compared with the theoretical results. The findings of this research can offer guidance to the de- sign of micro-structures.

关 键 词：压电效应 层合微梁 损伤效应 尺寸效应 坍塌 

分 类 号：O345[理学—固体力学]