摘要
本文研究简支,固支和悬臂压电层合梁在强电场和机械荷载联合作用下的非线性变形。考虑材料的电致伸缩和电致弹性压电效应以及几何非线性导出压电层合梁的数学模型。并求得在电场和均布力联合作用下各种边界条件梁的挠度和位移解析表达式。通过对双压电晶片梁和单压电晶片梁的数值计算及分析得到线性与非线性模型之间的差别和适用范围。
The nonlinear deformations of simply supported, fixed supported and cantilever piezoelectric laminated beams were studied under strong electric field and mechanical force. Considering the influence of electrostrictive nonlinear piezoelectric effect, electroelastic nonlinear piezoelectric effects and geometric nonlinearity, the mathematical model of piezoelectric laminated beam was obtained. The analytic expressions of deflection and displacement of the beams for various boundary conditions were obtained under combined electric field and uniformly distributed load. By numerical calculation and analysis of bimorph and unimorph piezoelectric beams, the difference and applicable scope between linear and nonlinear models were found,
出处
《力学季刊》
CSCD
北大核心
2006年第1期103-111,共9页
Chinese Quarterly of Mechanics
基金
江苏省教育厅自然科学基金(04KJB110117)
国家自然科学基金(10201026)
教育部留学回国基金
关键词
几何非线性
材料非线性
电致伸缩
电致弹性
压电层合梁
geometric nonlinearity
material nonlinearity
electrostrictive
electroelastic
piezoelectric laminated beams
