2021 Fiscal Year Final Research Report

Establishment of universal probability model respresenting nonlinear dynamics of space deployable membrane structures

Research Project

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Project/Area Number	19H02347
Research Category	Grant-in-Aid for Scientific Research (B)
Allocation Type	Single-year Grants
Section	一般
Review Section	Basic Section 24010:Aerospace engineering-related
Research Institution	Tottori University
Principal Investigator	Iwasa Takashi 鳥取大学, 工学研究科, 准教授 (90450717)
Co-Investigator(Kenkyū-buntansha)	藤垣元治福井大学, 学術研究院工学系部門, 教授 (40273875) 樋口健早稲田大学, 理工学術院, 客員教授 (60165090) 岸本直子摂南大学, 理工学部, 教授 (60450714) 勝又暢久香川大学, 創造工学部, 准教授 (60534948)
Project Period (FY)	2019-04-01 – 2022-03-31
Keywords	宇宙展開膜面構造物 / 非線形ダイナミクス / 変位の空間分布 / 応答予測 / 画像計測
Outline of Final Research Achievements	This study investigates the spatial distribution property of spectra measured on vibrating membrane through phototogrammetric measurement of the deployable membrane structure model. The major findings obtained in this study are summarized below. 1) When periodicity of the geometric pattern is observed in the vibration mode (for example, higher vibration modes are constituted by periodicity of the lower vibration mode), the spatial distribution of spectra becomes similar regardless of the order of the vibration mode. It is believed that this similarity of the spatial distribution of spectra is universal characteristic regardless of the structural size. 2) However, when the periodicity of the geometric pattern in the vibration mode is not observed according to some uncertainty such as an initial geometric imperfection, the similarity of the spatial distribution of spectra will be broken.
Free Research Field	航空宇宙工学
Academic Significance and Societal Importance of the Research Achievements	本研究の学術的意義は，展開型膜面宇宙構造物の複雑な非線形ダイナミクスを従来のように要素毎にモデル化して検討するのではなく構造物全体の応答を「変位の空間分布」として捉え，そこに潜む普遍的性質（構造スケールや各種不確定性に鈍感な性質）を利用して展開型膜面宇宙構造物の振動応答を一定の信頼度で予測する新たな方法論の確立を目指す点にあった．この視点において，本研究で得られた２つの成果は今後予測法を構築するにあたって大変重要な知見であり，学術的・社会的意義は大きいと思われる．