Volume 19 Issue 2
Turn off MathJax
Article Contents
Abstract
Related Articles
FU Qiang. WAVELET ANALYSIS OF MULTIFRACTAL CHARACTERISTICS AND ITS APPLICATION TO PROCESSING TEMPERATURE DATA IN RAYLEIGH-BENARD CONVECTION[J]. Engineering Mechanics, 2002, 19(2): 100-108.
Citation: FU Qiang. WAVELET ANALYSIS OF MULTIFRACTAL CHARACTERISTICS AND ITS APPLICATION TO PROCESSING TEMPERATURE DATA IN RAYLEIGH-BENARD CONVECTION[J]. Engineering Mechanics, 2002, 19(2): 100-108.
shu

WAVELET ANALYSIS OF MULTIFRACTAL CHARACTERISTICS AND ITS APPLICATION TO PROCESSING TEMPERATURE DATA IN RAYLEIGH-BENARD CONVECTION

  • Division of Physics, The Meteorology Institute of PLAUST

More Information
  • Received Date: June 19, 2000
  • Revised Date: October 10, 2000
    Graphical Abstract
    • Abstract
  • In this paper, Wavelet transform is used to analyze the singularity of a given signal. Based on the method of wavelet transform mudulus maxima (WTMM), the characters of fractal set of triadic Cantor is studied. It is shown that one can, not only determine the singular position of signal, but also estimate the Holder exponent h which describes the strength of singularity and other parameters correctly. In addition, the temperature data in Rayleigh-Benard convection is studied using the above procedures. It is observed that the temperature data exhibit multi-fractal hierarchy and multi-scale structures. The obtained results agree well with those determined from the viewpoint of fractal measures.
    • FullText(HTML)
    • References (0)
    • Related Articles

  • Related Articles

    [1]YANG Xin, ZHANG Ju-bing, LI Xiao-long, HE Qiu-yu, LI Zi-xin, ZHOU Yi. THERMAL DEFORMATION OF A STEEL TRUSS BRIDGE BASED ON MONITORING DATA[J]. Engineering Mechanics, 2024, 41(S): 310-316. DOI: 10.6052/j.issn.1000-4750.2023.05.S010
    [2]PAN Dan-guang, GAO Li-li. COMPARISON OF DETERMINATION METHODS FOR RAYLEIGH DAMPING COEFFICIENTS AND EFFECTS ON SEISMIC RESPONSES OF STRUCTURES[J]. Engineering Mechanics, 2015, 32(6): 192-199. DOI: 10.6052/j.issn.1000-4750.2013.12.1190
    [3]PAN Dan-guang. AN OPTIMIZATION SOLUTION FOR RAYLEIGH DAMPING COEFFICIENTS IN SEISMIC RESPONSE ANALYSIS[J]. Engineering Mechanics, 2013, 30(11): 15-20,27. DOI: 10.6052/j.issn.1000-4750.2012.05.0366
    [4]PAN Dan-guang. AN OPTIMIZATION METHOD FOR THE DIRECT DETERMINATION OF RAYLEIGH DAMPING COEFFICIENTS[J]. Engineering Mechanics, 2013, 30(9): 16-21. DOI: 10.6052/j.issn.1000-4750.2012.05.0365
    [5]ZHANG Heng, WEI De-min. A MICRO FRACTURE MODEL FOR CONCRETE CONSIDERING THE INFLUENCE OF TEMPERATURE[J]. Engineering Mechanics, 2010, 27(10): 14-020.
    [6]LIU Gang, SHAO Yi-min, HUANG Zong-ming, ZHOU Xiao-jun. A NEW METHOD TO SEPARATE TEMPERATURE EFFECT FROM LONG-TERM STRUCTURAL HEALTH MONITORING DATA[J]. Engineering Mechanics, 2010, 27(03): 55-061,.
    [7]TEMPERATURE EFFECT ON SKEW BOX GIRDER ASSUMING NONLINEAR TEMPERATURE GRADIENT OF SUNSHINE[J]. Engineering Mechanics, 2009, 26(1): 131-136.
    [8]ZHOU Yu-huan, FU Qiang. STRUCTURE CHARACTERS OF RAYLEIGH-BÉNARD CONVECTION AND ITS MULTIFRACTAL SPECTRUM[J]. Engineering Mechanics, 2008, 25(7): 52-056,.
    [9]Liu Jing-bo, Li Bin. DYNAMIC RESPONSE ANALYSIS OF UNDERGROUND STRUCTURES DURING PROPAGATION OF RAYLEIGH WAVES[J]. Engineering Mechanics, 2006, 23(10): 132-1351.
    [10]FU Qiang, CHEN Yi-wang. COHERENT STRUCTURE AND ITS INFLUENCE ON MULTIFRACTAL SPECTRUM OF TEMPERATURE DATA IN RAYLEIGH-BéNARD CONVECTION[J]. Engineering Mechanics, 2005, 22(3): 102-106,.

Catalog

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (215) PDF downloads (236) Cited by()
    Related

    京ICP备18030614号

    Copyright © 《工程力学》编辑部

    Address: North-Star Times Tower, No.8 Beichendong Road, Chaoyang District, Beijing, China China Pos: 100084

    Tel: (010)62788648 Fax: 021-64253812 Email: gclxbjb@tsinghua.edu.cn

    Supported by: Beijing Renhe Information Technology Co.,Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return