Bending, buckling, and free vibration of magnetoelectroelastic nanobeam based on nonlocal theory

被引：77
|
作者：
Li, Y. S. [1 ]
Ma, P. [2 ]
Wang, W. [1 ]
机构：
[1] Hebei Univ Engn, Coll Civil Engn, Handan 056038, Peoples R China
[2] Univ Hong Kong, Dept Civil Engn, Hong Kong, Hong Kong, Peoples R China
来源：
JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES | 2016年 / 27卷 / 09期
关键词：
Bending; buckling; free vibration; nonlocal theory; magnetoelectroelastic nanobeam; DYNAMIC FRACTURE-ANALYSIS; ELASTIC NANOBEAMS; CRACK; FORMULATION; SOLIDS;
D O I：
10.1177/1045389X15585899
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work, bending, buckling, and free vibration of magnetoelectroelastic nanobeam are investigated based on nonlocal theory and Timoshenko beam theory. According to Maxwell equation and magnetoelectric boundary condition, the variation of electric and magnetic potentials along the thickness direction of the nanobeam is determined. Using Hamilton's principle, the governing equations of the magnetoelectroelastic nanobeam are derived. Numerical results reveal the effects of the nonlocal parameter and the electric and magnetic potentials on the transverse displacement, rotation, buckling load, and natural frequency. These results may be useful in the analysis and design of smart structures constructed from magnetoelectroelastic materials.
引用
收藏
页码：1139 / 1149
页数：11
相关论文
共 50 条
  • [21] Bending analysis of magnetoelectroelastic nanoplates resting on Pasternak elastic foundation based on nonlocal theory
    Wenjie FENG
    Zhen YAN
    Ji LIN
    C.Z.ZHANG
    AppliedMathematicsandMechanics(EnglishEdition), 2020, 41 (12) : 1769 - 1786
  • [22] Nonlinear vibration of nanobeam with attached mass at the free end via nonlocal elasticity theory
    Necla Togun
    Microsystem Technologies, 2016, 22 : 2349 - 2359
  • [23] Free vibration of deep and shallow curved FG nanobeam based on nonlocal elasticity
    Hosseini, S. A. H.
    Rahmani, O.
    Refaeinejad, V.
    Golmohammadi, H.
    Montazeripour, M.
    ADVANCES IN AIRCRAFT AND SPACECRAFT SCIENCE, 2023, 10 (01): : 51 - 65
  • [24] Nonlinear vibration analysis of three supported nanobeam based on nonlocal elasticity theory
    Yapanmis, Burak Emre
    Bagdatli, Sueleyman Murat
    Togun, Necla
    JOURNAL OF THE FACULTY OF ENGINEERING AND ARCHITECTURE OF GAZI UNIVERSITY, 2024, 39 (04): : 2447 - 2461
  • [25] A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams
    Thai, Huu-Tai
    Vo, Thuc P.
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2012, 54 : 58 - 66
  • [26] Bending, buckling and vibration analyses of nonhomogeneous nanotubes using GDQ and nonlocal elasticity theory
    Pradhan, S. C.
    Phadikar, J. K.
    STRUCTURAL ENGINEERING AND MECHANICS, 2009, 33 (02) : 193 - 213
  • [27] A New Analytical Approach for Free Vibration, Buckling and Forced Vibration of Rectangular Nanoplates Based on Nonlocal Elasticity Theory
    Rong, Dalun
    Fan, Junhai
    Lim, C. W.
    Xu, Xinsheng
    Zhou, Zhenhuan
    INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2018, 18 (04)
  • [28] Bending and free vibration of a circular magnetoelectroelastic plate with surface effects
    Yang, Ying
    Li, Xian-Fang
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2019, 157 : 858 - 871
  • [29] Bending, free vibration and buckling analyses of AFG flexoelectric nanobeams based on the strain gradient theory
    Zhao, Xie
    Zheng, Shijie
    Li, Zongjun
    MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2022, 29 (04) : 548 - 563
  • [30] Nonlocal buckling of embedded magnetoelectroelastic sandwich nanoplate using refined zigzag theory
    A.GHORBANPOUR-ARANI
    F.KOLAHDOUZAN
    M.ABDOLLAHIAN
    Applied Mathematics and Mechanics(English Edition), 2018, 39 (04) : 529 - 546
12345