Journal of Central South University

, Volume 18, Issue 5, pp 1700–1708 | Cite as

Method to analyze wrinkled membranes with zero shear modulus and equivalent stiffness

  • Ran Zhao (赵冉)Email author
  • De-min Wei (魏德敏)
  • Wen-bo Sun (孙文波)


To solve the problems of divergence, low accuracy and project application of membrane wrinkling analysis, an analysis method of zero shear modulus and equivalent stiffness was proposed. This method is an improvement to the previous method (Method I) of local coordinate transposition and stiffness equivalence. The new method is derived and the feasibility is theoretically proved. A small-scale membrane structure is analyzed by the two methods, and the results show that the computational efficiency of the new method (Method II) is approximately 23 times that of Method I. When Method II is applied to a large-scale membrane stadium structure, it is found that this new method can quickly make the second principal stress of one way wrinkled elements zero, and make the two principal stresses of two-way wrinkled elements zero as well. It could attain the correct load responses right after the appearance of wrinkled elements, which indicates that Method II can be applied to wrinkling analysis of large-scale membrane structures.

Key words

membrane structures finite element method wrinkling analysis shear modulus zero-setting equivalent stiffness 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    HORNING J. Wrinkling analysis of membranes with elastic-plastic material behavior [J]. Journal of Applied Mechanics, 2003, 1(3): 153–160.Google Scholar
  2. [2]
    AKITA T, NATORI M C. Sensitivity analysis method for membrane wrinkling based on the tension-field theory [J]. AIAA Journal, 2008, 46(6): 1516–1527.CrossRefGoogle Scholar
  3. [3]
    DING H, YANG B. The modeling and numerical analysis of wrinkled membranes [J]. International Journal for Numerical Methods in Engineering, 2003, 58(12): 1785–1801.CrossRefGoogle Scholar
  4. [4]
    TESSLER A, SLEIGHT D W, WANG J T. Effective modeling and nonlinear shell analysis of thin membranes exhibiting structural wrinkling [J]. Journal of Spacecraft and Rockets, 2005, 42(2): 287–298.CrossRefGoogle Scholar
  5. [5]
    WOO K, JENKINS C H. Global/local analysis strategy for partly wrinkled membrane [J]. Journal of Spacecraft and Rockets, 2006, 43(5): 1101–1106.CrossRefGoogle Scholar
  6. [6]
    ZHANG Jian, YANG Qing-shan, TAN Feng. Analysis of wrinkled membrane structures by thin-shell elements [J]. Engineering Mechanics, 2010, 27(8): 28–34, 39. (in Chinese)Google Scholar
  7. [7]
    STANUSZEK M. FE analysis of large deformations of membranes with wrinkling [J]. Finite Elements in Analysis and Design, 2003, 39(7): 599–618.CrossRefGoogle Scholar
  8. [8]
    CONTRI P, SCHREFLER B A. Geometrically nonlinear finite element analysis of wrinkled membrane surfaces by a no-compression material model [J]. Communications in Applied Numerical Methods, 2006, 4(1): 5–15.MathSciNetCrossRefGoogle Scholar
  9. [9]
    WANG C G, DU X W, TAN H F, HE X D. A new computational method for wrinkling analysis of gossamer space structures [J]. International Journal of Solids and Structures, 2009, 46(6): 1516–1526.CrossRefGoogle Scholar
  10. [10]
    PIMPRIKAR A N, BANERJEE B, ROY D, VASU M R, REID R S. New computational approaches for wrinkled and slack membranes [J]. International Journal of Solids and Structures, 2010, 18/19(47): 2476–2486.CrossRefGoogle Scholar
  11. [11]
    LI Yun-liang, LU Ming-yu, TAN Hui-feng, TAN Yi-qiu. Numerical analysis and experimental studies of membrane wrinkles [J]. Journal of Harbin Institute of Technology: New Series, 2010, 17(2): 229–233.Google Scholar
  12. [12]
    ZHAO Ran, WEI De-min, SUN Wen-bo. Method to analyze wrinkled membranes by using local coordinate transpose and equivalent stiffness [J]. Journal of South China University of Technology: Natural Science Edition, 2009, 37(9): 18–23. (in Chinese)Google Scholar
  13. [13]
    CECS158. Technical specification for membrane structures [S]. 2004. (in Chinese)Google Scholar
  14. [14]
    TAN Feng, YANG Qing-shan, LI Zuo-wei. Wrinkling criteria and analysis method for membrane structures [J]. Journal of Beijing Jiaotong University, 2006, 30(1): 35–39. (in Chinese)Google Scholar
  15. [15]
    FUJIKAKE M, KOJIMA O, FUKUSHIMA S. Analysis of fabric tension structures [J]. Computers & Structures, 1989, 32(3/4): 537–547.zbMATHGoogle Scholar
  16. [16]
    TENG Jun, ZHU Yan-huang, ZHOU Feng, LI Hui, OU Jin-ping. Finite element model updating for large span spatial steel structure considering uncertainties [J]. Journal of Central South University of Technology, 2010, 17(4): 857–862.CrossRefGoogle Scholar

Copyright information

© Central South University Press and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Ran Zhao (赵冉)
    • 1
    • 2
    Email author
  • De-min Wei (魏德敏)
    • 1
  • Wen-bo Sun (孙文波)
    • 3
  1. 1.State Key Laboratory of Subtropical Building ScienceSouth China University of TechnologyGuangzhouChina
  2. 2.CCCC Forth Harbor Engineering Institute Co., LtdGuangzhouChina
  3. 3.Architectural Design and Research InstituteSouth China University of TechnologyGuangzhouChina

Personalised recommendations