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Consistent method for optimal design and manufacturing based on the unified geometrical feature evaluation by the partial differential equation

Research Project

Project/Area Number 19H02049
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 18030:Design engineering-related
Research InstitutionThe University of Tokyo (2020-2021)
Kyoto University (2019)

Principal Investigator

Yamada Takayuki  東京大学, 大学院工学系研究科, 准教授 (30598222)

Co-Investigator(Kenkyū-buntansha) 正宗 淳  北海道大学, 理学研究院, 教授 (50706538)
黒田 紘敏  北海道大学, 理学研究院, 准教授 (80635657)
三木 隆生  地方独立行政法人大阪産業技術研究所, 和泉センター, 研究員 (80806753)
寺本 央  関西大学, システム理工学部, 准教授 (90463728)
木谷 亮太  地方独立行政法人大阪産業技術研究所, 和泉センター, 研究員 (90761619)
Project Period (FY) 2019-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥17,030,000 (Direct Cost: ¥13,100,000、Indirect Cost: ¥3,930,000)
Fiscal Year 2021: ¥10,270,000 (Direct Cost: ¥7,900,000、Indirect Cost: ¥2,370,000)
Fiscal Year 2020: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2019: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Keywordsトポロジー最適化 / 偏微分方程式 / 幾何学的特徴量 / 感度解析 / 設計工学 / デジタルエンジニアリング / 仮想的な物理モデル / 計算力学 / 最適設計 / レベルセット法 / 製造制約 / 積層造形 / 設計生産 / 幾何力学 / DfAM / 製造性の定式化 / 生産性の定式化 / 随伴変数法 / 幾何学的特徴 / 法線ベクトル場の構成 / 設計生産統合型トポロジー最適化 / 山田方程式 / CAE
Outline of Research at the Start

本研究では,製造工程及び組立工程から要求される様々な幾何学的条件に対する統一的な数理モデルを構築する.さらには,その数理モデルとトポロジー最適化法に基づき,製造工程及び組立工程を考慮した一気通貫型の最適形状創成設計製造法を構築する.このような方法論が構築できれば,製品の最適な形状の創成設計だけではなく,製造工程等の適切な選択も可能となるため,製造及び組立工程をも含めた一気通貫型の最適設計製造システムを構築できる.

Outline of Final Research Achievements

In this study, the geometric constraints required from the manufacturing process are formulated by using partial differential equations. These partial differential equations are called fictitious physical model because it is a fictitious field introduced to represent manufacturability. We also integrated it with the topology optimization method to create a new design method that integrates design and production. Furthermore, by considering assemblability, we proposed a method that also allows topology optimization of mechanical structures composed of multiple parts.

Academic Significance and Societal Importance of the Research Achievements

本研究により、生産工程を考慮したトポロジー最適化が可能になった。すなわち、理論的に最適な構造を設計するだけではなく、その製造工程を考慮した上で力学的に最適な構造を創成設計することを可能にした。これにより、多くは学術研究で留まっているトポロジー最適化の研究成果を、広く、ものづくり産業に普及させるための基盤技術を構築することができた。

Report

(4 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • Research Products

    (24 results)

All 2022 2021 2020 2019 Other

All Journal Article (6 results) (of which Peer Reviewed: 6 results,  Open Access: 5 results) Presentation (17 results) (of which Int'l Joint Research: 5 results,  Invited: 4 results) Remarks (1 results)

  • [Journal Article] Topology optimization with a closed cavity exclusion constraint for additive manufacturing based on the fictitious physical model approach2022

    • Author(s)
      Yamada T.、Noguchi Y.
    • Journal Title

      Additive Manufacturing

      Volume: 52 Pages: 102630-102630

    • DOI

      10.1016/j.addma.2022.102630

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A mathematical model for manufacturability of mold using the partial differential equation of geometrical features and its application to topology optimization2021

    • Author(s)
      酒井 虹太、野口 悠暉、山田 崇恭
    • Journal Title

      Transactions of the Japan Society for Computational Engineering and Science

      Volume: 2021 Issue: 0 Pages: 20210018-20210018

    • DOI

      10.11421/jsces.2021.20210018

    • NAID

      130008110086

    • ISSN
      1347-8826
    • Year and Date
      2021-11-01
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Topology optimization considering the distortion in additive manufacturing2021

    • Author(s)
      Miki Takao、Yamada Takayuki
    • Journal Title

      Finite Elements in Analysis and Design

      Volume: 193 Pages: 103558-103558

    • DOI

      10.1016/j.finel.2021.103558

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Topology Optimization Taking Into Account Geometrical Constraint of No-Closed Hole for Additive Manufacturing Based on Fictitious Physical Model Concept2021

    • Author(s)
      Yamada Takayuki、Noguchi Yuki
    • Journal Title

      Proceedings of ASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE 2021)

      Volume: 2021

    • DOI

      10.1115/detc2021-66717

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 偏微分方程式による法線ベクトル場の構成2020

    • Author(s)
      長谷部 高広、黒田 紘敏、寺本 央、正宗 淳、山田 崇恭
    • Journal Title

      日本応用数理学会論文誌

      Volume: 30 Pages: 249-258

    • NAID

      130007907737

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Topology optimization with geometrical feature constraints based on the partial differential equation system for geometrical features (Overhang constraints considering geometrical singularities in additive manufacturing)2019

    • Author(s)
      YAMADA Takayuki、MASAMUNE Jun、TERAMOTO Hiroshi、HASEBE Takahiro、KURODA Hirotoshi
    • Journal Title

      Transactions of the JSME (in Japanese)

      Volume: 85 Issue: 877 Pages: 19-00129-19-00129

    • DOI

      10.1299/transjsme.19-00129

    • NAID

      130007711795

    • ISSN
      2187-9761
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] Topology optimization taking into account geometric constraint of no-closed hole for additive manufacturing, based on fictitious physical model concept2021

    • Author(s)
      Yamada, T., Noguchi, Y.
    • Organizer
      ASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE 2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] PDE for the geometrical constraint of additive manufacturing and its application to topology optimization2021

    • Author(s)
      YAMADA, Takayuki
    • Organizer
      14th World Congress of Structural and Multidisciplinary Optimization (WCSMO14)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topology optimization with geometric constraint for manufacturing2021

    • Author(s)
      YAMADA, Takayuki
    • Organizer
      14th ECCOMAS Thematic Conference on Evolutionary and Deterministic Methods for Design, Optimization and Control (EUROGEN2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 仮想的な物理モデルに基づく局所厚み制約トポロジー最適化の基礎検討2021

    • Author(s)
      酒井虹太,野口悠暉,山田崇恭
    • Organizer
      第31回設計工学・システム部門講演会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 自立性を考慮した音響クローキング構造のトポロジー最適化2021

    • Author(s)
      太田悠誠,野口悠暉,山田崇恭
    • Organizer
      第34回計算力学講演会(CMD2021)
    • Related Report
      2021 Annual Research Report
  • [Presentation] トポロジー最適化における局所厚み制約定式化に関する一考察2021

    • Author(s)
      酒井虹太,野口悠暉,山田崇恭
    • Organizer
      第34回計算力学講演会(CMD2021)
    • Related Report
      2021 Annual Research Report
  • [Presentation] 多軸加工機による生産性を考慮した幾何学的制約トポロジー最適化の定式化の検討2021

    • Author(s)
      福岡直也,野口悠暉,山田崇恭
    • Organizer
      第34回計算力学講演会(CMD2021)
    • Related Report
      2021 Annual Research Report
  • [Presentation] 拡張レベルセット法に基づく組立性を考慮した複数部材トポロジー最適化を指向した数理モデリング2021

    • Author(s)
      広沢凌真,野田雅貴,野口悠暉,山田崇恭
    • Organizer
      第34回計算力学講演会(CMD2021)
    • Related Report
      2021 Annual Research Report
  • [Presentation] 有効エネルギーの考え方に基づいたトポロジー最適化によるコンプライアントメカニズムの最適設計2021

    • Author(s)
      宮島健,野口悠暉,山田崇恭
    • Organizer
      第34回計算力学講演会(CMD2021)
    • Related Report
      2021 Annual Research Report
  • [Presentation] 母材の連結性を考慮した電磁メタマテリアルのトポロジー最適化に関する基礎検討2021

    • Author(s)
      村井直樹,野口悠暉,山田崇恭
    • Organizer
      第34回計算力学講演会(CMD2021)
    • Related Report
      2021 Annual Research Report
  • [Presentation] 積層造形における粉抜条件を考慮したトポロジー最適化2021

    • Author(s)
      山田崇恭
    • Organizer
      第34回計算力学講演会(CMD2021)
    • Related Report
      2021 Annual Research Report
  • [Presentation] 数理と力学を基軸としたものづくりー幾何学的特徴に対する数理モデルの開発とその展開を中心としてー2021

    • Author(s)
      山田崇恭
    • Organizer
      第6回 伊都CREST ED3GEセミナー,九州大学マス・フォア・インダストリ研究所
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] A PDE based manufacturing constraint formulation using a fictitious physical model for additive manufacturing and its application in topology optimization2020

    • Author(s)
      山田崇恭
    • Organizer
      the Asian Congress of Structural and Multidisciplinary Optimization 2020 (ASCSMO2020)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topology optimization considering manufacturability using the fictitious physical models2020

    • Author(s)
      山田崇恭
    • Organizer
      第6回理論応用力学シンポジウム(日本学術会議総合工学委員会機械工学委員会合同力学基盤工学分科会主催)
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 製造に関する数理モデルの開発と積層造形における製造性を考慮したトポロジー最適化への展開2020

    • Author(s)
      山田崇恭
    • Organizer
      日本機械学会2020年度年次大会,先端技術フォーラム「バーチャルエンジニアリングにおける形状設計・計算・加工技術の現状と未来」
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 分割面を設計可能とする型成形を前提としたトポロジー最適化2020

    • Author(s)
      酒井虹太,野口悠暉,山田崇恭
    • Organizer
      第30回設計工学・システム部門講演会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Geometrical constraint in topology optimization for additive manufacturing based on the fictious physical model for local geometric feature2019

    • Author(s)
      Yamada, Takayuki
    • Organizer
      the Asian Pacific Congress on Computational Mechanics (APCOM)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Remarks] 山田研究室ホームページ

    • URL

      https://www.mid.t.u-tokyo.ac.jp

    • Related Report
      2019 Annual Research Report

URL: 

Published: 2019-04-18   Modified: 2023-01-30  

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