The construction of second generation wavelet-based multivariable finite elements for multiscale analysis of beam problems

被引：5
|
作者：
Wang, Youming [1 ,2 ]
Wu, Qing [1 ]
Wang, Wenqing [1 ]
机构：
[1] Xian Univ Posts & Telecommun, Sch Automat, Xian 710121, Peoples R China
[2] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116023, Peoples R China
来源：
STRUCTURAL ENGINEERING AND MECHANICS | 2014年 / 50卷 / 05期
基金：
中国国家自然科学基金;
关键词：
second generation wavelet; multivariable finite element method; generalized variational principles; multiscale structural analysis; B-SPLINE WAVELET; COLLOCATION METHOD; EQUATIONS; PLATES;
D O I：
10.12989/sem.2014.50.5.679
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
A design method of second generation wavelet (SGW)-based multivariable finite elements is proposed for static and vibration beam analysis. An important property of SGWs is that they can be custom designed by selecting appropriate lifting coefficients depending on the application. The SGW-based multivariable finite element equations of static and vibration analysis of beam problems with two and three kinds of variables are derived based on the generalized variational principles. Compared to classical finite element method (FEM), the second generation wavelet-based multivariable finite element method (SGW-MFEM) combines the advantages of high approximation performance of the SGW method and independent solution of field functions of the MFEM. A multiscale algorithm for SGW-MFEM is presented to solve structural engineering problems. Numerical examples demonstrate the proposed method is a flexible and accurate method in static and vibration beam analysis.
引用
收藏
页码：679 / 695
页数：17
相关论文
共 50 条
  • [1] 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
  • [2] CONSTRUCTION OF WAVELET-BASED ELEMENTS FOR STATIC AND STABILITY ANALYSIS OF ELASTIC PROBLEMS
    Yongteng Zhong1
    [J]. Acta Mechanica Solida Sinica, 2011, 24 (04) : 355 - 364
  • [3] CONSTRUCTION OF WAVELET-BASED ELEMENTS FOR STATIC AND STABILITY ANALYSIS OF ELASTIC PROBLEMS
    Zhong, Yongteng
    Xiang, Jiawei
    [J]. ACTA MECHANICA SOLIDA SINICA, 2011, 24 (04) : 355 - 364
  • [4] Construction of wavelet-based elements for static and stability analysis of elastic problems
    Zhong Y.
    Xiang J.
    [J]. Acta Mechanica Solida Sinica, 2011, 24 (4) : 355 - 364
  • [5] A second generation wavelet based finite elements on triangulations
    Quraishi, S. M.
    Sandeep, K.
    [J]. COMPUTATIONAL MECHANICS, 2011, 48 (02) : 163 - 174
  • [6] A second generation wavelet based finite elements on triangulations
    S. M. Quraishi
    K. Sandeep
    [J]. Computational Mechanics, 2011, 48 : 163 - 174
  • [7] Construction of the beam element based second generation wavelet
    He, Yumin
    Chen, Xi
    Zhang, Xiaolong
    [J]. INFORMATION ENGINEERING FOR MECHANICS AND MATERIALS SCIENCE, PTS 1 AND 2, 2011, 80-81 : 532 - +
  • [8] The construction of one-dimensional Daubechies wavelet-based finite elements for structural response analysis
    Li, Bing
    Cao Hongrui
    He, Zhengjia
    [J]. JOURNAL OF VIBROENGINEERING, 2011, 13 (04) : 729 - 738
  • [9] Construction of Operator-Orthogonal Wavelet-Based Elements for Adaptive Analysis of Thin Plate Bending Problems
    Wang, Y. M.
    Wu, Q.
    [J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2013, 93 (01): : 17 - 45
  • [10] Wavelet-based multiscale analysis of geomagnetic disturbance
    Zaourar, N.
    Hamoudi, M.
    Mandea, M.
    Balasis, G.
    Holschneider, M.
    [J]. EARTH PLANETS AND SPACE, 2013, 65 (12): : 1525 - 1540
12345