| 强电场和机械荷载联合作用下压电层合梁的非线性变形 |
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| 引用本文： | 王伟,姚林泉,丁睿.强电场和机械荷载联合作用下压电层合梁的非线性变形[J].上海力学,2006,27(1):103-111. |
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| 作者姓名： | 王伟 姚林泉 丁睿 |
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| 作者单位： | 苏州大学数学科学学院 苏州215006 |
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| 基金项目： | 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 |
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| 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。
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| 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 |
| 文章编号： | 0254-0053（2006）01-103-9 |
| 收稿时间： | 2005-04-18 |
| 修稿时间： | 2005年4月18日 |
Nonlinear Deformation of Piezoelectric Laminated Beams under Strong Electric Field and Mechanical Force |
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| WANG Wei , YAO Lin-quan , DING Rui.Nonlinear Deformation of Piezoelectric Laminated Beams under Strong Electric Field and Mechanical Force[J].Chinese Quarterly Mechanics,2006,27(1):103-111. |
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| Authors: | WANG Wei YAO Lin-quan DING Rui |
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| Institution: | School of Mathematical Sciences, Suzhou University, Suzhou 215006, China |
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| Abstract: | 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. |
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| Keywords: | geometric nonlinearity material nonlinearity electrostrictive electroelastic piezoelectric laminated beams |
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