Analytical solution of a simply supported piezoelectric beam subjected to a uniformly distributed loading

被引:0
|
作者
Zhang, LN
Shi, ZF [1 ]
机构
[1] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China
[2] No Jiaotong Univ, Coll Civil Engn & Architecture, Beijing 100044, Peoples R China
关键词
simply supported beam; functionally gradient materials ( FGM); analytical solution; piezoelectric material;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using the inverse method, the analytical solution of a simply supported piezoelectric beam subjected to a uniformly distributed loading has been studied. First, the polynomials of stress function and induction function are given. Then, considering the gradient properties of the elastic parameter and the potential funciton as well as the piezoelectric parameter, the analytical solution of a simply supported beam subjected to a uniformly distributed loading is obtained and discussed.
引用
收藏
页码:1215 / 1223
页数:9
相关论文
共 50 条
  • [21] Deflection of Castellated Beams Subjected to Uniformly Distributed Transverse Loading
    Yuan, Wei-bin
    Yu, Nan-ting
    Bao, Zhao-shui
    Wu, Li-ping
    INTERNATIONAL JOURNAL OF STEEL STRUCTURES, 2016, 16 (03) : 813 - 821
  • [22] Deflection of castellated beams subjected to uniformly distributed transverse loading
    Wei-bin Yuan
    Nan-ting Yu
    Zhao-shui Bao
    Li-ping Wu
    International Journal of Steel Structures, 2016, 16 : 813 - 821
  • [23] Dynamic interfacial crack propagation in elastic-piezoelectric bi-materials subjected to uniformly distributed loading
    Chen, Xi-Hong
    Ma, Chien-Ching
    Ing, Yi-Shyong
    Tsai, Chung-Han
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2008, 45 (3-4) : 959 - 997
  • [24] Effect of flowing medium for a simply supported pipe subjected to impulse loading
    Mohammad, R.
    Kotousov, A.
    Codrington, J.
    Blazewicz, A.
    AUSTRALIAN JOURNAL OF MECHANICAL ENGINEERING, 2011, 8 (02) : 133 - 141
  • [25] An exact axisymmetric solution for a simply supported piezoelectric cylindrical shell
    S. Kapuria
    P. C. Dumir
    S. Sengupta
    Archive of Applied Mechanics, 1997, 67 : 260 - 273
  • [26] An exact axisymmetric solution for a simply supported piezoelectric cylindrical shell
    Kapuria, S
    Dumir, PC
    Sengupta, S
    ARCHIVE OF APPLIED MECHANICS, 1997, 67 (04) : 260 - 273
  • [27] Constant sign solution for a simply supported beam equation
    Cabada, Alberto
    Saavedra, Lorena
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (59) : 1 - 17
  • [28] Analytical solution for functionally graded anisotropic cantilever beam under thermal and uniformly distributed load
    Huang, De-Jin
    Ding, Hao-Jiang
    Chen, Wei-Qiu
    JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A, 2007, 8 (09): : 1351 - 1355
  • [29] Analytical solution for functionally graded anisotropic cantilever beam under thermal and uniformly distributed load
    De-jin Huang
    Hao-jiang Ding
    Wei-qiu Chen
    Journal of Zhejiang University-SCIENCE A, 2007, 8 : 1351 - 1355