Vibration Simulations of a Wrinkled Membrane-Inflated Arch

Wang, C. G.; Xie, Jianhe; Tan, Huifeng

doi:10.1061/(asce)as.1943-5525.0000260

Cited by 12 publications

(3 citation statements)

References 14 publications

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“…For example, Wang et al (2018Wang et al ( , 2020 discussed the wrinkle-influencing factors such as pre-stress, Poisson's ratio, Young's modulus, thickness and boundary conditions and numerically analyzed their effects on the dynamic properties of a rectangular membrane under shear and a square membrane under corner loads. Wang et al (2014) studied the wrinkling of a membrane inflated arch by using the stability theory, the effects of wrinkles on mode shapes and associated natural frequencies were analyzed. Wang et al (2015) also studied the theoretical evaluation on natural frequencies of wrinkled inflated beams based on the stability theory.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic analysis of wrinkled membrane structure

Liu

Cai

2022

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PurposeThis paper studies the nonlinear dynamics of membrane structure considering wrinkling effect. The coupling between wrinkles and vibration is investigated elaborately, and new insight on the dynamics of wrinkled membrane is unveiled.Design/methodology/approachBased on the stability theory of plates and shells, the wrinkling model of the membrane structure is established. Considering the effects of wrinkling and nonlinearity, the dynamic response is calculated with NewMark method.FindingsWrinkling will impact the dynamics of the membrane structure significantly for asymmetrical tension loading cases, dynamic response of the wrinkled membrane structure can be classified into three categories: when the vibration is small, the dynamics of the wrinkled membrane structure will behave linearly, and the wrinkles will only affect the dynamic properties as initial conditions; when the vibration is relatively large, the wrinkles will interact with the vibration during the dynamic process, and the dynamics of the structure shows very complex features; when the vibration is large enough, the dynamics will be dominated by the geometric nonlinearity of large-amplitude vibration.Originality/valueIn the previous works on dynamics of wrinkled membrane structure, only the vibration modes have been studied, which means all those investigations are confined with linear vibration; little research has been conducted on the nonlinear dynamics of wrinkled membrane structure. In view of this, this paper presents an investigation of dynamic properties of membrane structure considering the wrinkling and geometric nonlinear effects. This research work presents some novel discoveries on the nonlinear dynamics of wrinkled membrane.

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Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic analysis of wrinkled membrane structure

Liu

Cai

2022

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“…One is based on the tension field theory, which assumes that a membrane has no bending stiffness to resist any compression and it is uniaxially tensioned in the wrinkled region. This type of wrinkling model usually deals with the wrinkling problem by modifying the deformation gradient (Roddeman et al , 1987; Miyazaki, 2006; Shaw and Roy, 2007) or strain tensor (Hornig and Schoop, 2003; Raible et al , 2005), modifying the material constants (Ding and Yang, 2003) or constitutive relationship (Akita et al , 2007; Jarasjarungkiat et al , 2008, 2009; Yang et al , 2011; Zhao et al , 2011; Wang et al , 2014), constructing the relaxed strain energy (Haseganu and Steigmann, 1994; Atai and Steigmann, 1998, 2012, 2014; Epstein and Forcinito, 2001; Mosler and Cirak, 2009; Taylor and Steigmann, 2009; Taylor et al , 2014; Patil et al , 2015), making an analogy with cables (Stanuszek, 2003), etc. The other type is based on the stability theory of plates and shells, originating from the analogy between wrinkling deformation of a membrane and local buckling deformation of a thin shell.…”

Section: Introductionmentioning

confidence: 99%

“…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).…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of dynamic properties of wrinkled thin membranes

Chu

Yang

2020

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Purpose This paper aims to numerically study the effects of boundary conditions, pre-stress, material constants and thickness on the dynamic performance of a wrinkled thin membrane. Design/methodology/approach Based on the stability theory of plates and shells, the dynamic equations of a wrinkled thin membrane were developed, and they were solved with the Lanczos method Findings The effects of wrinkle-influencing factors on the dynamic performance of a wrinkled membrane are determined by the wrinkling stage. The effects are prominent when wrinkling deformation is evolving, but they are very small and can hardly be observed when wrinkling deformation is stable. Mode shapes of a wrinkled membrane are sensitive to boundary conditions, pre-stress and Poisson’s ratio, but its natural frequencies are sensitive to all these five factors. Practical implications The research work in this paper is expected to help understand the dynamic behavior of a wrinkled membrane and present access to ensuring its dynamic stability by controlling the wrinkle-influencing factors. Originality/value Very few documents investigated the dynamic properties of wrinkled membranes. No attention has yet been paid by the present literature to the global dynamic performance of a wrinkled membrane under the influences of the factors that play a pivotal role in the wrinkling deformation. In view of this, this paper numerically studied the global modes and corresponding frequencies of a wrinkled membrane and their variation with the wrinkle-influencing factors. The results indicate that the global dynamic properties of a wrinkled membrane are sensitive to these factors at the stage of wrinkling evolution.

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Numerical analysis of the wrinkling behavior of thin membranes

Yin

Yang

2019

Arch Appl Mech

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Vibration Simulations of a Wrinkled Membrane-Inflated Arch

Cited by 12 publications

References 14 publications

Nonlinear dynamic analysis of wrinkled membrane structure

Nonlinear dynamic analysis of wrinkled membrane structure

Numerical analysis of dynamic properties of wrinkled thin membranes

Numerical analysis of the wrinkling behavior of thin membranes

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