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
  • [1] Finite element analysis of beam structures based on trigonometric wavelet
    Department of Civil Engineering, Central South University, Changsha, Hunan Province 410075, China
    不详
    [J]. Finite Elem Anal Des, (59-66):
  • [2] ADAPTIVE TRIGONOMETRIC HERMITE WAVELET FINITE ELEMENT METHOD FOR STRUCTURAL ANALYSIS
    He, Wen-Yu
    Ren, Wei-Xin
    [J]. INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2013, 13 (01)
  • [3] Beam bending analysis using wavelet finite element
    Li, B
    Chen, XF
    He, ZJ
    Zhuo, J
    [J]. WAVELET ANALYSIS AND ITS APPLICATIONS (WAA), VOLS 1 AND 2, 2003, : 448 - 453
  • [4] Adaptive Trigonometric Wavelet Composite Beam Element Method
    He, Wen-Yu
    Ren, Wei-Xin
    [J]. ADVANCES IN STRUCTURAL ENGINEERING, 2013, 16 (11) : 1899 - 1910
  • [5] A beam finite element based on layerwise trigonometric shear deformation theory
    Shimpi, RP
    Ainapure, AV
    [J]. COMPOSITE STRUCTURES, 2001, 53 (02) : 153 - 162
  • [6] Finite element analysis of bar and beam composite structures
    Yang, Hao
    Luo, Shuai
    Xing, Guo-Ran
    Wang, Wei
    [J]. Gongcheng Lixue/Engineering Mechanics, 2019, 36 : 154 - 157
  • [7] A finite element analysis of idealized damage in beam structures
    Alnefaie, KA
    [J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2004, 218 (09) : 921 - 929
  • [8] Beam finite element for modal analysis of FGM structures
    Murin, Justin
    Aminbaghai, Mehdi
    Hrabovsky, Juraj
    Gogola, Roman
    Kugler, Stephan
    [J]. ENGINEERING STRUCTURES, 2016, 121 : 1 - 18
  • [9] Wavelet-based spectral finite element dynamic analysis for an axially moving Timoshenko beam
    Mokhtari, Ali
    Mirdamadi, Hamid Reza
    Ghayour, Mostafa
    [J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2017, 92 : 124 - 145
  • [10] Finite Element Analysis of Curved Beam Elements Employing Trigonometric Displacement Distribution Patterns
    Cao, Hengtao
    Chen, Daihai
    Zhang, Yunsen
    Wang, Hexiang
    Chen, Huai
    [J]. BUILDINGS, 2023, 13 (09)
12345