均布载荷作用下的两端简支压电梁的解析解

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A Close-Form Solution to Simply Supported Piezoelectric Beams Under Uniform Exterior Pressure

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P R China

摘要: 按平面应力问题推导出两端简支压电梁在均布载荷作用下的位移、电势、应力分布的解析表达式,并与压电有限元的计算结果进行了比较,为探索压电层的分布感测机理以及验证有限元等数值方法提供了参考依据.
- 压电梁 /
- 分布感测 /
- 平面应力
Abstract: On the basis of two-dimensional constitutive relationships of piezoelectric materials,the analytic solution for simply supported piezoelectric beams under uniform exterior pressure was derived.Furthermore the results were also compared with the ones of FEM for piezoelectric materials.Thus the foundation for further research of piezoelectric materials' distribution sensing mechanism and the validation of numerical methods such as FEM is provided.
- piezoelectric beams /
- distribution sensing /
- plane state of stress

[1]	Tzou H S.Distributed model identification and vibration control of continua:theory and applications[J].Journal of Dynamic Systems Measurement,and Control,1991,113(3):494~499.
[2]	Samata B,Ray M C,Bhattacharyya R.Finite element model for active control of intelligent structures[J].AIAA Journal,1996,34(9):1885~1893.
[3]	Kagawa Y,Tsuchiya T,Kataoka T.Finite element simulation of dynamic responses of piezoelectric actuators[J].Journal of Sound and Vibration,1996,191(4):519~538.
[4]	Ding H J,Chen B,Liang J.General solutions for coupled equations for piezoelectric media[J].International Journal of Solids Structures,1996,33(16):2283~2298.
[5]	刘正兴,杨耀文,蔡炜,等.机电耦合有限单元及动力方程[J].上海交通大学学报,1997,31(7):54~59.
[6]	Hill L R,Farris T N.Three-dimensional piezolectric boundary element method[J].AIAA Journal,1998,36(1):102~108.
[7]	徐芝纶.弹性力学[M].北京:高等教育出版社,1979.
[8]	刘正兴,李山青,章建国.平面问题中弹性压电材料的本构关系及应用[J].上海力学,1999,20(1):32~42.
[9]	孙慷,张福学.压电学[M].北京:国防工业出版社,1984.