Experiment and evaluation of wrinkling strain in a corner tensioned square membrane

Abstract

Prediction of wrinkling characteristics is strongly correlated with the strain perpendicular to wrinkling direction. In this paper, the strain field of wrinkled membrane is tested by VIC-3D system based on the digital image correlation technique. Experimental results are validated by the tension wrinkling simulation. The experimental strain perpendicular to wrinkling direction is analyzed in depth. The wrinkling strain of a square wrinkled membrane under corner tension is extracted from experimental strain perpendicular to wrinkling direction. A quantitative characterization format of the experimental wrinkling strain is proposed. A modified prediction method of wrinkling amplitude is presented based on the experimental wrinkling strain. The results show that the precision of modified prediction model has improved 13.2% compared with the classical prediction model. The results reveal that the modified model can give an accurate prediction of the wrinkling amplitude.

Numerical analysis of dynamic properties of wrinkled thin membranes

“…The present literature, however, was mainly concerned about the static behavior of a membrane, e.g. wrinkling patterns (Miyamura, 2000; Wong and Pellegrino, 2006a, 2006b, 2006c; Lecieux and Bouzidi, 2010; Atai and Steigmann, 2012, 2014; Taylor et al , 2014; Lan et al , 2014; Patil et al , 2015), wrinkling evolution (Wong and Pellegrino, 2006a, 2006b, 2006c; Wang et al , 2012, 2013a, 2013b) or transition (Davidovitch et al , 2011; Taylor et al , 2015), wrinkling location (Atai and Steigmann, 2012, 2014; Wang et al , 2014), stress distribution (Li et al , 2012; Huang et al , 2015; Senda et al , 2015), wrinkling critical load (Li, 2008; Wang et al , 2013b), post-wrinkling bearing capacity (Deng and Pellegrino, 2012; Hong et al , 2017), optimum design to eliminate wrinkles (Li et al , 2017; Liu et al , 2017; Luo et al , 2017), etc. A limited number of documents investigated the dynamic properties or dynamic responses of a membrane when its constitutive relationship was elastic (Hasheminejad et al , 2011; DasGupta and Tamadapu, 2013), orthotropic (Liu et al , 2013a, 2013b, 2016), hyperelastic (Soares and Gonçalves, 2012; Chaudhuri and DasGupta, 2014) or viscoelastic (Katsikadelis, 2012), or when it was subjected to impact loads (Liu et al , 2016), axial movement (Shin et al , 2005, 2006) or dynamic extension (Tuzela and Erbay, 2004).…”

Wrinkling analysis and control of rectangular space membrane

“…Membranes are light in mass and flexible in structure, making them an important class of space structures. 1 Examples include solar sails, inflatable antennas as well as structures for synthetic aperture radars (SAR). To guarantee high precision, the surface of these membrane structures should be as smooth as possible.…”

“…Wagner developed the Tension field theory 1,3 which is the earlier classical approach to analyze membrane wrinkling. Parameters are introduced to modify the constitutive relation on the membrane wrinkle's region in order to avoid compressive stress on the membrane.…”