Analysis on membrane wrinkling using stress extremum method

LI Yun-liang^1,2, LU Ming-yu³, TAN Hui-feng⁴, TAN Yi-qiu¹

1.School of Transportation Science and Engineering,Harbin Institute of Technology,Harbin 150090,China;2.Post-doctoral Research Center in Civil Engineering,Harbin Institute of Technology,Harbin 150090,China;3.Dept. of Mechanical Engineering,The Hong Kong Polytechnic University,Hong Kong;4.Center for Composite Materials and Structure,Harbin Institute of Technology,Harbin 150001,China



Abstract:

A stress extremum method is developed based on Von Karman equations for analysis of membrane wrinkles in this paper. A mechanical model is also established for analyzing shear membrane wrinkles. Expressions of wrinkling wavelength,amplitude and angle are obtained in terms of the stress extremum method. A numerical analysis approach-directly disturbing method is proposed to analyze the configuration parameters of shear membrane wrinkles by introducing out-of-plane disturbing forces to trigger wrinkle formation,while it timely removes the applied forces in order to eliminate the effect of disturbing forces on analytical results. The simulation results agree well with analytical results,which demonstrate that the proposed approach is capable for analyzing the membrane wrinkles with good accuracy.

Key words:  membrane  wrinkle  stress extremum method

DOI：10.11916/j.issn.1005-9113.2012.01.007

Clc Number:O344

Fund: