研究者業績

佐藤 泰貴

サトウ ヤスタカ  (yasutaka satou)

基本情報

所属
国立研究開発法人宇宙航空研究開発機構 宇宙科学研究所 宇宙飛翔工学研究系 准教授

J-GLOBAL ID
202001003226441587
researchmap会員ID
R000014429

研究キーワード

 1

論文

 47
  • 田中 宏明, 岩佐 貴史, 小木曽 望, 勝又 暢久, 坂本 啓, 池田 忠繁, 岸本 直子, 樋口 健, 藤垣 元治, 土居 明広, 佐藤 泰貴, 山谷 昌大
    宇宙航空研究開発機構研究開発報告 23(003) 1-21 2024年2月  査読有り
  • Yasutaka Satou, Hiroshi Furuya, Shoko Kaida, Tomoyuki Miyashita
    AIAA JOURNAL 2022年5月  
    This paper addresses the ways by which the releasing and deploying behaviors of a creased space membrane can be predicted accurately. Although existing studies have analyzed the released shape of a creased membrane by considering the elasto-plastic properties, the shape did not agree with the experimental results when the membrane was tightly creased. To examine the released shape of the membrane, creasing and releasing experiments are first conducted. The experimental results indicate that the opening angle of the crease increases with increasing elapsed time after the release due to stress relaxation. The stress relaxation behavior is predicted using finite element analysis (FEA) by considering the visco-elasto-plastic material properties. In addition, an analytical model of the releasing and deploying membrane has been proposed here. The results of the FEA and the analytical model indicate that the released angles are in good agreement with those in the experimental results. Thus, the effects of viscosity are considered important for predicting the releasing behavior of the space membrane.
  • Yamada, Y, Inamori, T, Park, J. H, Satou, Y, Sugawara, Y, Yamaguchi, K
    Advances in Space Research 2022年2月  査読有り
  • 松下 将典, 高橋 秀幸, 佐藤 泰貴, 岩佐 貴史
    航空宇宙技術 21 53-61 2022年  
  • Yuki Takao, Osamu Mori, Masanori Matsushita, Nobukatsu Okuizumi, Yasutaka Satou, Junichiro Kawaguchi
    Journal of Spacecraft and Rockets 59(1) 295-311 2022年1月  
    A novel approach for shape control of membrane structures is presented to realize their use in three-dimensional and variable configurations. The shape control is accomplished by exciting a spinning membrane. The membrane forms a shape consisting of several vibration modes, depending on the input frequency, and the wave surface stands still when its frequency is synchronized with the spin rate; that is, the wave propagation and the spin cancel each other, resulting in a static wave surface in the inertial frame. This idea enables control of continuous membrane structures with large deformation using fewer actuators than conventional methods. This paper describes the general theory of the static wave-based shape control. The mathematical model of membrane vibration, the classification of control input, and the control system for exciting a static wave are summarized. The proposed method is demonstrated through a ground experiment. A 1 m large polyimide film is rotated and vibrated in a vacuum chamber, and the output shape is measured using a real-time depth sensor. It is shown that the observed shapes agree with numerical simulation results. An additional simulation that models the Japanese solar sail Interplanetary Kite-craft Accelerated by Radiation Of the Sun (IKAROS) demonstrates that the proposed method also works with a practically large-scalemembraneinthespaceenvironment.

MISC

 5
  • 前田康博, 佐藤泰貴, 石村康生
    構造強度に関する講演会講演集 65th 2023年  
  • 藤田和央, 大槻真嗣, 馬場満久, 佐藤泰貴, 上住昂生
    宇宙科学技術連合講演会講演集(CD-ROM) 66th 2022年  
  • Masaya Kurakawa, Osamu Mori, Nobukatsu Okuizumi, Yasutaka Sato, Yasuyuki Miyazaki, Hiraku Sakamoto, Yoshiki Sugawara, Kazuya Saito
    Advances in the Astronautical Sciences 166 365-370 2018年7月  
    © 2018 Univelt Inc. All rights reserved. In recent years, a large space film structure having a thickness of several micro and a shape of several to several tens of meters attracts attention, and various storing methods have been studied. Considering the thickness of the film surface at the time of winding before launching, there is a problem that circumferential difference occurs inside and outside of the folded film surface. In order to solve this problem, a method of solving the difference between the inner and outer circumference by predicting the inner / outer circumferential difference arising from the film surface and the thickness of the device and managing the phase has been proposed. On the other hand, the point that the target value for adjusting the phase is unknown and empirical was pointed out, and as a result of adjusting the phase, the wave-like slack that occurred caused the unevenness of the film thickness in the circumferential direction. In this research, we derive target value of phase management analytically, compare with experiment, and verify.
  • Rikushi Kato, Osamu Mori, Toshihiro Chujo, Yasutaka Sato, Nobukatsu Okuizumi, Hiroaki Tsunoda
    Advances in the Astronautical Sciences 166 349-364 2018年7月  
    © 2018 Univelt Inc. All rights reserved. Solar power sail technique was demonstrated in the IKAROS mission. However, unexpected phenomena were confirmed. The membrane surface of IKAROS has deformed to a shape that was not flat. In the shape change of the film surface, it is known that the whole membrane surface changes greatly like an umbrella shape or a saddle shape depending on the warping direction of the thin film solar cell. Objection of this study is to clarify mechanism of influence on solar radiation pressure torque due to warp of membrane device and its solution method. Therefore, the shape of the overall membrane surface is clarified by using a simple FEM model and the SRP torque with respect to the shape is calculated, and the mechanism of the overall shape change in warpage and its influence is clarified. As a result, the influence on SRP is related to membrane surface stiffness and warped direction and it was found that it is best that the membrane is warped in the radial direction and its outermost stiffness is high.
  • 稲守 孝哉, 菅原 佳城, 佐藤 泰貴, 大槻 兼資
    機械力学・計測制御講演論文集 2015 "419-1"-"419-11" 2015年8月25日  
    A varaety of satellites are presently utilizing deployable large area structures in orbit. As a novel deployment method for these structures, this study proposes a deployment and retracting method using an electromagnetic force for extensible panels on satellites. Using the proposed method, panels can be deployed quasi-statically to reduce the impulsive force exerted on fragile panels in the deployment. Furthermore, a satellite can also retract panels to a much smaller volume to avoid damage from space debris and achieve agile attitude maneuvers in small moment of inertia. Finally, to assess the proposed method, numerical simulations using multibody dynamics were conducted.

講演・口頭発表等

 156
  • Hiroshi Furuya, Takashi Yokomatsu, Hiraku Sakamoto, Yasutaka Satou
    3rd AIAA Spacecraft Structures Conference 2016年
    © 2016, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved. Many de-orbiting systems using deployable membranes are developed to keep the safety space environment. We have proposed a boom-membrane integrated space structure using tri-axial tubular CFRP booms. This paper describes detailed properties of the booms with and without the gravity compensation devices and fixed and free for rotation constraint of the stowage hub through the deployment experiments. We focus on the boom tip because the point where the membrane is applied by the tensile forces. In the experiments we measure the tip position and calculate the time history of deploying length and tip speed. As a result, the effects of the gravity compensation devices and rotation constraint of the stowage hub to deployment of the booms are clarified, as well as the validity of the hinge deployment model has been verified.
  • 中村拓磨, 森治, 田中孝治, 松本純, 佐藤泰貴, 菅原佳城, 渡邊元樹
    宇宙科学技術連合講演会講演集(CD-ROM) 2016年
  • 児玉崚, 小木曽望, 木村公洋, 佐藤泰貴, 土居明広
    日本航空宇宙学会年会講演会講演集(CD-ROM) 2016年
  • 友岡雅志, 稲守孝哉, 船瀬龍, 中須賀真一, 菅原佳城, 佐藤泰貴
    日本航空宇宙学会年会講演会講演集(CD-ROM) 2016年
  • Yasutaka Satou, Osamu Mori, Nobukatsu Okuizumi, Yoji Shirasawa, Hiroshi Furuya, Hiraku Sakamoto
    2nd AIAA Spacecraft Structures Conference 2015年
    © 2015, American Institute of Aeronautics and Astronautics Inc. All rights reserved. This paper discusses the deformation properties of the solar sail IKAROS membrane to identify the possible causes of the phenomena observed by the flight data: the direction of the out-of-plane deformation. The flight data indicated that the direction of the out-of-plane deformation of the sail membrane was toward the Sun, although the solar pressure was applied from the Sun. This study hypothesized that the possible causes of the phenomenon is due to the initial curvature of the thin film devices on the sail and due to the circumferential slack induced by the bridges which connects each trapezoidal petal. The hypothesis was verified through geometrically nonlinear finite element analyses. The analysis results indicated that the sail membrane could deform in the Sun’s direction when the initial curvature of the thin film devices and the circumferential slack were simultaneously applied.
  • Hiraku Sakamoto, Hiroshi Furuya, Yasutaka Satou, Takashi Yokomatsu, Moto Takai, Nobukatsu Okuizumi, M. C. Natori
    2nd AIAA Spacecraft Structures Conference 2015年
    © 2015, American Institute of Aeronautics and Astronautics Inc. All rights reserved. The membrane-boom deployable structures which consist of self-deployable tri-axis CFRP boom with skew/spiral fold membrane wrapped around a single hub, have been developing for several small satellite missions as, solar sails, de-orbiting membrane systems, thin solar cell deployable membranes, and membrane antennas. Because the deployment properties of the membrane-boom structures depend on the self-deploying properties of the CFRP booms, the integration of membrane and booms is significant for designing the deployable structures. Also, the deploy-ability of the membrane-boom structures has to be evaluated by the ground testing and numerical simulations. This paper focuses on the dynamic properties of the membrane-boom deployable structures in the course of deployment through deployment experiments. Experimental results of the membrane-boom deployable structures models indicated the dynamic properties of membrane-boom deployable structures and non-linear buckling like properties for the deployable booms are discussed as well as to realize the simultaneous fold and deployment with simple holding/deploying mechanisms.
  • 古谷寛, 佐藤泰貴, 佐藤泰貴, 高井元, 坂本啓, 奥泉信克
    日本機械学会年次大会講演論文集(CD-ROM) 2015年
  • 稲守孝哉, 菅原佳城, 佐藤泰貴, 大槻兼資
    Dynamics & Design Conference (CD-ROM) 2015年
  • 奥泉信克, 佐藤泰貴, 森治, 古谷寛, 坂本啓, 白澤洋次
    構造強度に関する講演会講演集 2015年
  • 古谷寛, 佐藤泰貴, 坂本啓, 名取通弘, 奥泉信克, 高井元
    構造強度に関する講演会講演集 2015年
  • 土居明広, 河野裕介, 小山友明, 木村公洋, 岡田望, 佐藤泰貴, 松本尚子, 本間希樹, 鈴木駿策, 金口政弘, 秋山和徳, 上原顕太, 中原聡美, 坂東信尚, 福家英之, 石村康生, 莊司泰弘, 田中宏明, 坂本啓, 樋口健, 荻芳郎
    日本天文学会年会講演予稿集 2015年
  • Yasutaka Satou, Hiroshi Furuya, Nozomu Kogiso
    22nd AIAA/ASME/AHS Adaptive Structures Conference 2014年
    This paper addresses a simultaneous design optimization of the structure and actuator location for a plate model of space antenna to realize the high precision surface. The space antenna has an adaptive structure system to correct multiple surface error modes, which are induced in the space environment. The design optimization for the correction of the multiple surface error modes is formulated, where the weighting residual surface error vector is introduced to evaluate the contribution of the error modes. A constraint parameter of the actuator location is proposed to improve the performance of the design optimization. The results of the design optimization indicate that high performance is obtained by using the proposed constraint parameter, and thus, the effectiveness of the proposed parameter is verified.
  • Yasutaka Satou, Nobukatsu Okuizumi, Hiraku Sakamoto, Hiroshi Furuya, Go Ono, Yoji Shirasawa, Osamu Mori
    AIAA Spacecraft Structures Conference 2014年
    This paper addresses the deformation properties of the IKAROS membrane to identify the IKAROS' higher out-of-plane stiffness, which was higher than expected. IKAROS' flight data showed that the out-of-plane deformation of the membrane was smaller than that predicted preflight by numerical simulations. A possible cause is the initial deformation of the IKAROS membrane, which is induced by the initial curvature of the thin film solar cells and the reflection control devices. In order to examine the effects of the initial deformation on the out-of-plane stiffness, nonlinear finite element analyses were carried out with shell elements for the 1/4 IKAROS membrane using the initial curvatures of the thin-film components. The results of the numerical simulations indicated that the on-orbit IKAROS membrane was nonflat due to the initial curvature of the thin-film components. The out-of-plane deformation with the initial deformation was found to be smaller than the deformation of the ideal flat membrane, and the numerical results qualitatively agreed with the IKAROS' flight data. As the initially deformed membrane increases the out-of-plane stiffness, which determines the deformation properties of the membrane, the bending stiffness is significant for the simulation of nonflat membrane structures. Based on the results, the mechanics of the higher out-of-plane stiffness of the IKAROS membrane was identified: it is the effects of the initial deformation of the membrane, which is globally propagated by the local deformation of initial curvatures of the thin film components.
  • Hiroshi Furuya, Yasutaka Satou, Hiraku Sakamoto, M. C. Natori, Nobukatsu Okuizumi
    Proceedings of the International Astronautical Congress, IAC 2014年
    Copyright ©2014 by the International Astronautical Federation. All rights reserved. The membrane-boom deployable structures which consist of self-deployable tri-axis CFRP boom with skew/spiral fold membrane wrapped around a single hub, have been developing for several small satellite missions as, solar sails, de-orbiting membrane systems, thin solar cell deployable membranes, and membrane antennas. Because the deployment properties of the membrane-boom structures depend on the self-deploying properties of the CFRP booms, the integration of membrane and booms is significant for designing the deployable structures. Also, the deploy-ability of the membrane-boom structures has to be evaluated by the ground testing and numerical simulations. This paper focuses on the dynamic properties of the membrane-boom deployable structures in the course of deployment through deployment experiments. Experimental results of the membrane-boom deployable structures models indicated the dynamic properties of membrane-boom deployable structures and non-linear buckling like properties for the deployable booms are discussed as well as to realize the simultaneous fold and deployment with simple holding/deploying mechanisms.
  • 古谷寛, 佐藤泰貴, 坂本啓, 名取通弘, 奥泉信克, 渡邊秋人
    日本機械学会年次大会講演論文集(CD-ROM) 2014年
  • 横松卓, 古谷寛, 佐藤泰貴, 坂本啓
    日本機械学会スペース・エンジニアリング・コンファレンス(CD-ROM) 2014年
  • 岡田望, 木村公洋, 大西利和, 小川英夫, 河野裕介, 小山友明, 松本尚子, 山下一芳, 鈴木駿策, 金口政弘, 本間希樹, 秋山和徳, 上原顕太, 中原聡美, 土居明広, 佐藤泰貴
    日本天文学会年会講演予稿集 2014年
  • 古谷寛, 佐藤泰貴, 坂本啓, 名取通弘
    構造強度に関する講演会講演集 2014年
  • 古谷寛, 佐藤泰貴, 坂本啓, 名取通弘, 奥泉信克, 高井元, 鳥阪綾子, 横松卓, 倉重宏康, 渡邊秋人
    宇宙科学技術連合講演会講演集(CD-ROM) 2014年
  • 土居明広, 河野裕介, 小山友明, 木村公洋, 岡田望, 佐藤泰貴, 松本尚子, 本間希樹, 鈴木駿策, 金口政弘, 秋山和徳, 上原顕太, 中原聡美
    日本天文学会年会講演予稿集 2014年
  • 古谷寛, 松尾雄太郎, 山崎歩, 佐藤泰貴
    構造強度に関する講演会講演集 2014年
  • 佐藤泰貴, 古谷寛, 小木曽望
    構造強度に関する講演会講演集 2014年
  • 西澤 匡士, 坂本 啓, 大熊 政明, 奥泉 信克, 白澤 洋次, 森 治, 古谷 寛, 佐藤 泰貴, Nishizawa Tadashi, Sakamoto Hiraku, Okuma Masaaki, Okuizumi Nobukatsu, Shirasawa Yoji, Mori Osamu, Furuya Hiroshi, Sato Yasutaka
    第29回宇宙構造・材料シンポジウム:講演集録 = Proceedings of 29th Symposium on Aerospace Structure and Materials 2013年12月 宇宙航空研究開発機構宇宙科学研究所(JAXA)(ISAS)
    第29回宇宙構造・材料シンポジウム(2013年12月3日. 宇宙航空研究開発機構宇宙科学研究所 (JAXA)(ISAS)), 相模原市, 神奈川県資料番号: SA6000013001レポート番号: A1
  • Yasutaka Satou, Hiroshi Furuya
    54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2013年
    Folded thickness of a large space membrane is determined based on the mechanical properties of a crease in a wrapping fold to identify a fold line induced by the wrapping fold. Wrapping fold experiments are performed to examine the configuration of fold line in detail. The experimental results indicate that the fold line induced by the wrapping fold deviates from the target straight fold line because the folded thickness is not equal to zero. To determine the folded thickness, the mechanical properties of a crease in the wrapping fold membrane are examined analytically. The folded thickness and the configuration of fold line are identified by the theoretical analysis in terms of the wrapped length of fold line, the tensile force, the membrane thickness, the radius of center hub, and the creasing force applied before wrapping. The results of the theoretical analysis are verified using the experimental results. A fold pattern, which consists of the fold line obtained by the theoretical analysis, is proposed, and the high packaging efficiency is realized by the proposed fold pattern. © 2013 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
  • Hiraku Sakamoto, Shogo Kadonishi, Yasutaka Satou, Hiroshi Furuya, Yoji Shirasawa, Nobukatsu Okuizumi, Osamu Mori, Hirotaka Sawada, Jun Matsumoto, M. C. Natori, Yasuyuki Miyazaki, Masaaki Okuma
    54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2013年
    This paper proposes a method to store a large solar-sail membrane while ensuring repeatability of its stored configuration. The feasibility and effectiveness of the method is verified through a series of sail-storage experiments using 10m-size membranes. Large membranes used as a solar sail should be stored compactly to save the launch volume; in addition, their stored configuration should be sufficiently predictable in order to guarantee reliable deployment in orbit. However, it is difficult to store a large membrane compactly with sufficient repeatability because of the finite thickness of the membrane. This paper classifies the existing and proposed folding patterns that can consider the finite-thickness of membranes. This paper then demonstrates the feasibility of "bulging roll-up" experimentally, and evaluates the repeatability of its stored configuration quantatively. © 2013 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
  • Hiraku Sakamoto, Hiroshi Furuya, Yasutaka Satou, M. C. Natori, Akihito Watanabe, Nobuyoshi Kawabata, Ryoji Sakai, Nobukatsu Okuizumi, Osamu Mori, Yoji Shirasawa, Moto Takai, Nobuhisa Katsumata, Ayako Torisaska, Ryu Funase
    Proceedings of the International Astronautical Congress, IAC 2013年
    The present study proposes ... Features (i) stiffer for ground testing, (ii) Synchronous boom-membrane deployment, (iii) Resist launch vibration, (iv) Repeatable and simpler folding pattern, ... to be written!. Copyright© (2013) by the International Astronautical Federation.
  • 佐藤泰貴, 古谷寛, 小木曽望
    日本機械学会スペース・エンジニアリング・コンファレンス(CD-ROM) 2013年
  • 佐藤泰貴, 古谷寛, 坂本啓, 名取通弘, 渡邊秋人
    日本機械学会スペース・エンジニアリング・コンファレンス(CD-ROM) 2013年
  • 菅原佳城, 菊池賢仁, 稲守孝哉, 佐藤泰貴
    日本機械学会スペース・エンジニアリング・コンファレンス(CD-ROM) 2013年
  • 坂本啓, 古谷寛, 佐藤泰貴, 名取通弘
    日本機械学会スペース・エンジニアリング・コンファレンス(CD-ROM) 2013年
  • 佐藤泰貴, 古谷寛, 小木曽望
    日本機械学会年次大会講演論文集(CD-ROM) 2013年
  • 佐藤泰貴, 古谷寛
    日本航空宇宙学会論文集 2013年
  • 佐藤泰貴, 古谷寛, 小木曽望
    宇宙科学技術連合講演会講演集(CD-ROM) 2013年
  • 奥泉信克, 佐藤泰貴, 古谷寛, 坂本啓, 森治
    構造強度に関する講演会講演集 2013年
  • 佐藤泰貴, 古谷寛, 小木曽望
    構造強度に関する講演会講演集 2013年
  • 佐藤泰貴, 古谷寛
    日本機械学会年次大会講演論文集(CD-ROM) 2012年
  • 佐藤泰貴, 古谷寛
    宇宙科学技術連合講演会講演集(CD-ROM) 2012年
  • 佐藤泰貴, 古谷寛
    構造強度に関する講演会講演集 2012年
  • Yasutaka Satou, Hiroshi Furuya
    TEXTILE COMPOSITES AND INFLATABLE STRUCTURES V (STRUCTURAL MEMBRANES 2011) 2011年 INT CENTER NUMERICAL METHODS ENGINEERING
    Mechanics of a local buckling, which is induced by wrapping fold of a creased membrane, is discussed experimentally, theoretically, and numerically in this paper to examine the condition for the local buckling. The theoretical analysis is performed by introducing one-dimensional wrapping fold model, and the dominant parameters of the condition for the local buckling are obtained, which are expressed by the tensile force, the membrane thickness, and the radius of the center hub. The experimental results indicate that the interval of the local buckling is proportional to the diameter of the center hub, and the results are qualitatively agreement with the FEM results.
  • 佐藤泰貴, 古谷寛
    日本機械学会年次大会講演論文集(CD-ROM) 2011年
  • 佐藤泰貴, 古谷寛
    日本機械学会スペース・エンジニアリング・コンファレンス(CD-ROM) 2011年
  • 佐藤泰貴, 古谷寛
    アストロダイナミクスシンポジウム講演後刷り集(Web) 2011年
  • 佐藤泰貴, 古谷寛
    構造強度に関する講演会講演集 2011年
  • Yasutaka Satou, Hiroshi Furuya
    Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2010年
    Wrapping fold analyses of a membrane retracted by guided-pin mechanisms are performed using a onedimensional model and FEM analyses to investigate the retraction properties for restoring forces, configuration of creases, and plastic deformation in the membrane. In the analyses, a wrapping fold model, which divides the wrapping fold membrane into the folded state and the transient process, is proposed. Analytical procedures for the folded state of the wrapping fold model are constructed considering the mechanical condition of the folded state. At first, we analyze the wrapping fold model by one-dimensional approximation to determine the retraction properties as a function of the contact force. Then, the retraction properties for the layer pitch and for the membrane thickness are examined using FEM analyses. As the results of these analyses, the configuration of the creases and the contact force are obtained for an arbitrary layer pitch. The Mises stress in the crease is evaluated to examine the existence of the plastic deformation. Comparing the results of these analyses, the applicability of the one-dimensional analyses is discussed. The analytical results are evaluated by experimental studies, and these results are in agreement qualitatively.
  • 佐藤泰貴, 古谷寛
    日本機械学会年次大会講演論文集 2010年
  • 佐藤泰貴, 古谷寛
    構造強度に関する講演会講演集 2010年
  • 佐藤泰貴, 古谷寛
    日本機械学会スペース・エンジニアリング・コンファレンス講演論文集 2010年
  • 佐藤泰貴, 古谷寛
    日本機械学会年次大会講演論文集 2009年
  • 佐藤泰貴, 古谷寛
    構造強度に関する講演会講演集 2009年
  • Hiroshi Furuya, Yasutaka Satou
    Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2008年
    The deployment and retraction mechanisms for two-dimensional deployable membrane for spinning solar sail are proposed in this paper using wrapping fold for polygonal membrane with tensile forces. The fold and deployment of large-scale membrane sails are significant to realize the solar sails. The spinning solar sail is one of the concepts, which uses the centrifugal force to deploy the membrane. The structural and dynamic properties of the spinning solar sail are determined by the folding pattern and deployment mechanisms. The rotationally skew fold, which is proposed by authors, is one of the concepts for the solar sail membrane. However, the manufacturing and the folding of the rotationally skew fold are quite difficult due to the double corrugation properties. Therefore, we have developed folding and retraction mechanisms using wrapping fold with tensile forces by modifying the rotationally skew fold pattern with spiral fold. Experiments with the conceptual folding mechanisms for two-dimensional deployable membrane are demonstrated, and finally, the by optimizing the distribution of tensile forces and controlling the hinge deformation for the initial fold, the membrane have been successfully folded.

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