An asymptotically exact theory of functionally graded piezoelectric shells

被引:39
|
作者
Le, K. C. [1 ]
机构
[1] Ruhr Univ Bochum, Lehrstuhl Mech Mat Theorie, D-44780 Bochum, Germany
关键词
Functionally graded; Piezoelectric; Shell; Variational-asymptotic method; HIGH-FREQUENCY VIBRATIONS; DEFORMATIONS; ACTUATORS; PLATES;
D O I
10.1016/j.ijengsci.2016.12.001
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
An asymptotically exact two-dimensional theory of functionally graded piezoelectric shells is derived by the variational-asymptotic method. The error estimation of the constructed theory is given in the energetic norm. As an application, analytical solution to the problem of forced vibration of a functionally graded piezoceramic cylindrical shell with thickness polarization fully covered by electrodes and excited by a harmonic voltage is found. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:42 / 62
页数:21
相关论文
共 50 条
  • [1] Exact electroelastic analysis of functionally graded piezoelectric shells
    Kulikov, G. M.
    Plotnikova, S. V.
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2014, 51 (01) : 13 - 25
  • [2] Asymptotically exact theory of functionally graded elastic beams
    Le, K. C.
    Tran, T. M.
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2025, 209
  • [3] A high order theory for functionally graded piezoelectric shells
    Wu, XH
    Chen, CQ
    Shen, YP
    Tian, XG
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2002, 39 (20) : 5325 - 5344
  • [4] Exact solutions of functionally graded piezoelectric shells under cylindrical bending
    Wu, Chih-Ping
    Syu, Yun-Siang
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (20) : 6450 - 6472
  • [5] Piezothermoelastic Solutions of Functionally Graded Piezoelectric Shells
    Shu, Xiao-ping
    PROCEEDINGS OF THE 7TH NATIONAL CONFERENCE ON CHINESE FUNCTIONAL MATERIALS AND APPLICATIONS (2010), VOLS 1-3, 2010, : 1747 - 1749
  • [6] Functionally graded cylinders : Asymptotically exact analytical formulations
    Sachdeva, Chirag
    Padhee, Srikant Sekhar
    APPLIED MATHEMATICAL MODELLING, 2018, 54 : 782 - 802
  • [7] An asymptotically exact first-order shear deformation theory for functionally graded plates
    Le, K. C.
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2023, 190
  • [8] An asymptotically exact theory of smart sandwich shells
    Le, Khanh Chau
    Yi, Jeong-Hun
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2016, 106 : 179 - 198
  • [9] A higher order theory for functionally graded shells
    Czekanski, A.
    Zozulya, V. V.
    MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2020, 27 (11) : 876 - 893
  • [10] Dynamic stability of functionally graded piezoelectric circular cylindrical shells
    Zhu, JQ
    Chen, CQ
    Shen, YP
    Wang, SL
    MATERIALS LETTERS, 2005, 59 (04) : 477 - 485