Vibration of a piezoelectric nanobeam with flexoelectric effects by Adomian decomposition method

被引:3
|
作者
Karmakar, Somnath [1 ]
Chakraverty, S. [1 ]
机构
[1] Natl Inst Technol Rourkela, Dept Math, Rourkela, India
关键词
NONLOCAL ELASTICITY; DIFFERENTIAL QUADRATURE; FORCED VIBRATION; STEPPED BEAMS; EULER; FOUNDATION;
D O I
10.1007/s00707-023-03512-7
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper aims to reveal the effect of different elastic foundations on free vibrations of piezoelectric sandwich Euler nanobeam with flexoelectricity based on nonlocal strain gradient theory. Three different elastic foundations: constant, linear, and quadratic, are considered. Adomian decomposition method has been used to obtain the vibration frequencies for three different classical boundary conditions (S-S, C-S, and C-C). The piezoelectric and flexoelectric effects on vibration are also discussed in detail.
引用
收藏
页码:2445 / 2460
页数:16
相关论文
共 50 条
  • [1] Vibration of a piezoelectric nanobeam with flexoelectric effects by Adomian decomposition method
    Somnath Karmakar
    S. Chakraverty
    Acta Mechanica, 2023, 234 : 2445 - 2460
  • [2] Flexoelectric and surface effects on a cracked piezoelectric nanobeam: Analytical resonant frequency response
    Bastanfar, M.
    Hosseini, S. A. H.
    Sourki, R.
    Khosravi, F.
    ARCHIVE OF MECHANICAL ENGINEERING, 2019, 66 (04) : 417 - 437
  • [3] Flexoelectric effects on the natural frequencies for free vibration of piezoelectric nanoplates
    Wang, Bin
    Li, Xian-Fang
    JOURNAL OF APPLIED PHYSICS, 2021, 129 (03)
  • [4] Vibration Analysis of a Stepped Beam by Using Adomian Decomposition Method
    Mao, Qibo
    Nie, Yanping
    Zhang, Wei
    ADVANCES IN INTELLIGENT STRUCTURE AND VIBRATION CONTROL, 2012, 160 : 292 - 296
  • [5] Free vibration analysis of stepped beams by using Adomian decomposition method
    Mao, Qibo
    Pietrzko, Stanislaw
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) : 3429 - 3441
  • [6] Adomian Decomposition Method for vibration of nonuniform Euler Beams on elastic foundation
    Coskun, Safa Bozkurt
    Ozturk, Baki
    Mutman, Utkan
    EURODYN 2014: IX INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS, 2014, : 1935 - 1940
  • [7] SOLVING FREE VIBRATION OF STEPPED BEAM BY USING THE ADOMIAN DECOMPOSITION METHOD
    Farshidianfar, Anooshiravan
    Tabassian, Rassoul
    Khoee, Omid Kazemzadeh
    Noei, Sayed Javadorreza
    PROCEEDINGS OF THE ASME 10TH BIENNIAL CONFERENCE ON ENGINEERING SYSTEMS DESIGN AND ANALYSIS, 2010, VOL 4, 2010, : 263 - 270
  • [8] DIFFERENTIAL QUADRATURE AND ADOMIAN DECOMPOSITION METHODS FOR SOLVING THERMAL VIBRATION OF EULER NANOBEAM RESTING ON WINKLER-PASTERNAK FOUNDATION
    Karmakar, Somnath
    Chakraverty, Snehashish
    JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2021, 16 (04) : 555 - 572
  • [9] Investigation of Flexoelectric Effect on Nonlinear Vibration and Dynamic Instability of Piezoelectric Sandwich Micro/Nanobeam Using the Nonlocal Strain Gradient Theory
    Shayestenia, Fateme
    Ghadiri, Majid
    INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2023, 23 (04)
  • [10] Flexoelectric and surface effects on bending deformation and vibration of piezoelectric nanolaminates: Analytical solutions
    Xiao, Junhua
    Lv, Jie
    Xia, Xiaodong
    Wang, Jie
    APPLIED MATHEMATICAL MODELLING, 2024, 135 : 541 - 558