Finite element analysis of beam structures based on trigonometric wavelet

被引：25
|
作者：
He, Wen-Yu [1 ]
Ren, Wei-Xin [1 ,2 ]
机构：
[1] Cent S Univ, Dept Civil Engn, Changsha 410075, Hunan, Peoples R China
[2] Hefei Univ Technol, Dept Civil Engn, Hefei 230009, Anhui, Peoples R China
来源：
FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2012年 / 51卷
关键词：
Trigonometric wavelet; Finite element method; Beam structure; Interpolating function; CONSTRUCTION;
D O I：
10.1016/j.finel.2011.11.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Taking advantages of trigonometric Hermite wavelet that has both good approximation characteristics of trigonometric function and multi-resolution, local characteristics of wavelet as interpolating function, the trigonometric wavelet finite beam element is formulated in the paper to carry out the bending, free vibration and buckling of beam structures. Due to the Hermite interpolation properties of trigonometric wavelet, the proposed trigonometric wavelet finite beam element formulation can deal with the boundary conditions and connection between adjacent elements as the traditional finite element method does. Several numerical examples on the bending, free vibration and buckling analysis of beam structures have demonstrated that the trigonometric wavelet finite element method can achieve a good accuracy with less element adopted, especially for free vibration analysis. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：59 / 66
页数：8
相关论文
共 50 条
  • [41] Identification of a crack in a beam based on the finite element method of a B-spline wavelet on the interval
    Xiang, J. W.
    Chen, X. F.
    Li, B.
    He, Y. M.
    He, Z. J.
    [J]. JOURNAL OF SOUND AND VIBRATION, 2006, 296 (4-5) : 1046 - 1052
  • [42] An advanced finite element formulation for piezoelectric beam structures
    Legner, D.
    Wackerfuss, J.
    Klinkel, S.
    Wagner, W.
    [J]. COMPUTATIONAL MECHANICS, 2013, 52 (06) : 1331 - 1349
  • [43] Finite element-based reliability analysis of composite structures
    Dey, A
    Mahadevan, S
    Tryon, R
    Wang, Y
    [J]. ADVANCES IN COMPUTATIONAL STRUCTURAL MECHANICS, 1998, : 209 - 214
  • [44] An advanced finite element formulation for piezoelectric beam structures
    D. Legner
    J. Wackerfuß
    S. Klinkel
    W. Wagner
    [J]. Computational Mechanics, 2013, 52 : 1331 - 1349
  • [45] Wavelet-based finite element method for multilevel local plate analysis
    Aslami, Mojtaba
    Akimov, Pavel A.
    [J]. THIN-WALLED STRUCTURES, 2016, 98 : 392 - 402
  • [46] A study of multiscale wavelet-based elements for adaptive finite element analysis
    Chen, Xuefeng
    Xiang, Jiawei
    Li, Bing
    He, Zhengjia
    [J]. ADVANCES IN ENGINEERING SOFTWARE, 2010, 41 (02) : 196 - 205
  • [47] A MODIFIED CONICAL BEAM ELEMENT BASED ON FINITE-ELEMENT ANALYSIS - EXPERIMENTAL CORRELATIONS
    VEST, TA
    DARLOW, MS
    [J]. JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1990, 112 (03): : 350 - 354
  • [48] Vibration analysis of cracked beam based on Reddy beam theory by finite element method
    Taima, Moustafa S.
    El-Sayed, Tamer A.
    Shehab, Mohamed B.
    Farghaly, Said H.
    Hand, Russell J.
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2023, 29 (19-20) : 4589 - 4606
  • [49] Vibration analysis of an elastically restrained microcantilever beam under electrostatic loading using wavelet-based finite element method
    Bashmal, Salem
    Oke, Wasiu Adeyemi
    Khulief, Yehia
    [J]. MICRO & NANO LETTERS, 2015, 10 (03): : 147 - 152
  • [50] Finite element analysis of shell structures
    M. L. Bucalem
    K. J. Bathe
    [J]. Archives of Computational Methods in Engineering, 1997, 4 : 3 - 61
12345