A new theory, vectorial and rotational canonical transformation, overcomes a barrier separating structural and mechanism analyses

2023 Fiscal Year Final Research Report

• Project/Area Number: 22K18853
• Research Category: Grant-in-Aid for Challenging Research (Exploratory)
• Allocation Type: Multi-year Fund
• Review Section: Medium-sized Section 24:Aerospace engineering, marine and maritime engineering, and related fields
• Research Institution: Tohoku University
• Principal Investigator: Makihara Kanjuro 東北大学, 工学研究科, 教授 (60392817)
• Co-Investigator(Kenkyū-buntansha): 大塚 啓介 東北大学, 工学研究科, 准教授 (20881189) ; 永井 大樹 東北大学, 流体科学研究所, 教授 (70360724)
• Project Period (FY): 2022-06-30 – 2024-03-31
• Keywords: 正準変数変換 / 柔軟展開翼 / 可変翼 / モーフィング / 風洞実験 / 航空機モデリング

Outline of Final Research Achievements

In this research, vector modeling was performed from the member level, and a new theory [vector-rotation canonical transformation] was introduced to try to break through this barrier. This was a new idea to achieve joint representation with vectors before the transformation and high-precision analysis with rotational angles after the transformation. Since the proposed integrated modeling method performs vector modeling from the member level, the [difference in variables separating the different fields] was resolved, and both structure and mechanism analyses, which were previously separated, could be seamlessly connected.
To demonstrate the proposed method, experiments were conducted in a wind tunnel at the Institute of Fluid Science, Tohoku University, in collaboration with Professor Nagai. The accuracy of the analysis was verified at the component level using an airfoil model.

Free Research Field

航空宇宙工学

Academic Significance and Societal Importance of the Research Achievements

国際共同研究を通して，【異分野を分かつ変数の相違】を解決することで，これまで断裂していた構造解析と機構解析のシームレスな統合を実現する挑戦的意義を有する．これまでに培った計測方法を統合し，システムレベルでの構造・機構連成挙動の風洞実験という過去研究の知見・データが圧倒的に乏しい実験領域に挑戦する意義を有する．提案する【ベクトル・回転正準変換】は細長梁のみならず，板やソリッドに拡張し，高高度風力発電システムや羽ばたきドローンなど多様な構造に適用可能な萌芽性を有する．