Functionally graded piezoelectric cantilever beam under load

被引:67
|
作者
Shi, ZF [1 ]
Chen, Y [1 ]
机构
[1] Beijing Jiaotong Univ, Sch Civil Engn, Beijing 100044, Peoples R China
关键词
piezoelectric material; functionally graded material; sensor; actuator;
D O I
10.1007/S00419-004-0346-5
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In the present paper, the problem of a functionally graded piezoelectric cantilever beam subjected to different loadings is studied. The piezoelectric beam is characterized by continuously graded properties for one elastic parameter and the material density. A pair of stress and induction functions in the form of polynomials is proposed and determined. Based on these functions, a set of analytical solutions for the beam subjected to different loadings is obtained. As particular cases, series of solutions for some canonical problems can be directly obtained from the solutions of the present paper, such as for the problems of a piezoelectric cantilever beam with constant body force or without body forces, etc.
引用
收藏
页码:237 / 247
页数:11
相关论文
共 50 条
  • [31] Analytical solutions for plane problem of functionally graded magnetoelectric cantilever beam
    Yanmei YUE
    Xiaofen YE
    Kaiyu XU
    AppliedMathematicsandMechanics(EnglishEdition), 2015, 36 (07) : 955 - 970
  • [32] Analytical solution of a bilayer functionally graded cantilever beam with concentrated loads
    Qing Yang
    Bailin Zheng
    Kai Zhang
    Jianxin Zhu
    Archive of Applied Mechanics, 2013, 83 : 455 - 466
  • [33] Functionally graded stitched laminates: Illustration on the example of a double cantilever beam
    Birman, Victor
    Byrd, Larry W.
    JOURNAL OF AEROSPACE ENGINEERING, 2006, 19 (04) : 217 - 226
  • [34] Analytical solutions for plane problem of functionally graded magnetoelectric cantilever beam
    Yanmei Yue
    Xiaofen Ye
    Kaiyu Xu
    Applied Mathematics and Mechanics, 2015, 36 : 955 - 970
  • [35] Analytical solutions for plane problem of functionally graded magnetoelectric cantilever beam
    Yue, Yanmei
    Ye, Xiaofen
    Xu, Kaiyu
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2015, 36 (07) : 955 - 970
  • [36] Transient response of functionally graded piezoelectric layer with finite crack under electromechanical Impact Load
    Dept. of Eng. Mech., Shanghai Jiaotong Univ., Shanghai 200030, China
    Shanghai Jiaotong Daxue Xuebao/Journal of Shanghai Jiaotong University, 2003, 37 (04): : 527 - 531
  • [37] Elastic solutions of a functionally graded cantilever beam with different modulus in tension and compression under bending loads
    Yang, Q.
    Zheng, B. L.
    Zhang, K.
    Li, J.
    APPLIED MATHEMATICAL MODELLING, 2014, 38 (04) : 1403 - 1416
  • [38] Damped dynamic responses of a layered functionally graded thick beam under a pulse load
    Asiri, Saeed A.
    Akbas, Seref D.
    Eltaher, Mohamed A.
    STRUCTURAL ENGINEERING AND MECHANICS, 2020, 75 (06) : 713 - 722
  • [39] Analytical model of functionally graded material/shape memory alloy composite cantilever beam under bending
    Viet, N. V.
    Zaki, W.
    Umer, R.
    COMPOSITE STRUCTURES, 2018, 203 : 764 - 776
  • [40] Dynamic behavior of an axially functionally graded beam under action of a moving harmonic load
    Simsek, M.
    Kocaturk, T.
    Akbas, S. D.
    COMPOSITE STRUCTURES, 2012, 94 (08) : 2358 - 2364