Effects of Elasto-Plastic Behavior of Crease on Deployed Shape of Space Membrane

Satou, Yasutaka; Furuya, Hiroshi

doi:10.2514/6.2018-0449

Cited by 10 publications

(4 citation statements)

References 5 publications

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“…The development of a simple elastoplastic crease model will be necessary. 12) The other possible reason is that the large deformation analysis of thin shell elements with creases requires trial and error in analysis parameter setting in Abaqus and long computation time. The equilibrium states obtained by the analysis may include some quantitative errors.…”

Section: Numerical Results Under the Effect Of Gravitymentioning

confidence: 99%

Effect of Creases on the Stiffness of Spinning Circular Membrane

Okuizumi

2018

Trans. Japan Soc. Aero. S Sci.

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In this study, the effect of creases on the out-of-plane stiffness of a spinning circular membrane was investigated. A circular polyimide membrane, 600 mm in diameter and 25 µm in thickness, was used. Fanfold and flat-creased circular membranes with 12 fanfold creases in the radial direction, as well as a flat circular membrane without creases, were considered. First, forced vibration experiments on the spinning membranes were conducted in a vacuum chamber and the relationships between the rotation speed and first resonant frequencies were measured to examine the variations in stiffness due to creases. Subsequently, large deformation analyses of the membranes under gravity and eigenvalue analyses of the equilibrium states were conducted using a commercial nonlinear finite element software (i.e., Abaqus), and the fundamental modal frequencies were obtained and compared with the experimental results. The fundamental frequencies without gravity were also numerically analyzed. The author found that the fundamental frequency of the fanfold membrane was almost independent of gravity. Finally, the cause of variation in the fundamental frequencies of the membranes is discussed by estimating the stiffness due to the three-dimensional equilibrium shapes.

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Section: Numerical Results Under the Effect Of Gravitymentioning

confidence: 99%

Effect of Creases on the Stiffness of Spinning Circular Membrane

Okuizumi

2018

Trans. Japan Soc. Aero. S Sci.

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“…Specifically, the inertia, bending behavior, and the large deformation of the facet cannot be well represented. With respect to the finite element (FE) method, the facets in the origami are modeled with the beam element [5], the thin shell/membrane element [1,2,18,19], and solid element [29,6,21,22]. Specifically, beam FE models can hardly describe multi-crease origami structure besides the Z-folding structure.…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, the stiffness of the connecting rotational spring is constant and independent of the crease deployment angle. Satou et al [21] pointed out that the crease plays an important role in the deployment of the membrane. The crease exhibits a highly nonlinear behavior associated with the plastic deformation near the crease [13,1,8].…”

Section: Introductionmentioning

confidence: 99%

Simulation of membrane deployment accounting for the nonlinear crease effect based on absolute nodal coordinate formulation

Wang

et al. 2022

Nonlinear Dyn

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In this paper, the origami membrane is modeled as a flexible multibody system and its deployment is simulated based on the absolute nodal coordinate formulation. The nonlinear anti-deployment effect of crease is integrated into the multibody system via the virtual work principle. The facet is modeled by the thin shell element and the crease is constructed as a nonlinear torsional spring with specific position and gradient constraints. The behavior of the crease is parameterized based on the experimental data. The modeling approach is verified by the numerical/experimental reference of the Z-folding structure in the existing literature. For the multi-crease origami membrane model considering the crease effect, a form-finding method to obtain the initial configuration of the flexible origami is proposed based on the principle of minimum potential energy. The deployment of the classical Miura-ori unit membrane structure is analyzed. The magnitude of driving force is estimated based on the force analysis of rigid deployment. Based on the simulation result of flexible deployment, the driving force is planned to achieve a stable deployment with a constant increase speed

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“…The nal numerical analysis results are consistent with the experimental results. 7 Xia et al proposed a crease-beam model, which considers the bending and crease expansion of the membrane to describe the deployment behavior of the Z-folded membrane under tensile load. 8 Since the complex crease pattern plays an important role in the realization of small membrane folding volume.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Membrane Deploying Process Based on Miura Origami

Zhang

Shen

Guo

et al. 2021

Preprint

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Aiming at a series of characteristics of the membrane structure in the folded configuration during the deploying process, the initial defect of the membrane crease is introduced by proxy model, and to realize the study of the deploying process of the membrane. Based on the finite element method, the deploying process of the multi-element Miura membrane is simulated. And the stretch ratio, maximum mises stress, deployment rate, wrinkle deformation, etc. of membrane structure are discussed. The existence of creases can cause damage to the membrane surface, so the total length of the creases should be within an appropriate size range. By changing the number of elements and the longitudinal crease angle of the same size membrane respectively, the influence of the above two factors on the total crease length, storage volume and deploying process of the folded membrane is studied. The results show that when the longitudinal crease angle is 15°, the transverse and longitudinal displacements of the Miura folded membrane with different element numbers are not synchronized during the deploying process. By keeping the number of elements constant and increasing the angle of the longitudinal creases from 15° to 45°, the synchronization of the transverse and longitudinal displacements during the membrane deploying process is gradually enhanced. In addition, the experiment on the membrane deploying process verifies the reliability of the finite element simulation results.

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Effects of Elasto-Plastic Behavior of Crease on Deployed Shape of Space Membrane

Cited by 10 publications

References 5 publications

Effect of Creases on the Stiffness of Spinning Circular Membrane

Effect of Creases on the Stiffness of Spinning Circular Membrane

Simulation of membrane deployment accounting for the nonlinear crease effect based on absolute nodal coordinate formulation

Analysis of Membrane Deploying Process Based on Miura Origami

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