• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to project page

1999 Fiscal Year Final Research Report Summary

Manifold Finite Element Method And its Application for Naval Structural Analysis.

Research Project

Project/Area Number 09305065
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field 船舶工学
Research InstitutionTHE UNIVERSITY OF TOKYO

Principal Investigator

OHTSUBO Hideomi  Graduate School of Engineering, The University of Tokyo, Professor, 大学院・工学系研究科, 教授 (20011132)

Co-Investigator(Kenkyū-buntansha) TERADA Keziroh  Graduate School of Information Science, The University of Tokyo, Associate Professor, 大学院・情報科学研究科, 助教授 (40282678)
SUZUKI Katsuyuki  Graduate School of Frontier Sciences, The University of Tokyo, Associate Professor, 新領域創成科学研究科, 助教授 (10235939)
Project Period (FY) 1997 – 1999
KeywordsMain fold Method / FINITE Cover Method / Voxel Analysis / Steel Structural Analysis / 3D Solid Analysis / Meshless / Finite Element Method
Research Abstract

The characteristic idea of the Finite Cover Method and Manifold Method is to define the mathematical field for approximation independent from the physical field, where the partial differential equation is required to be satisfied. The approximation is constructed ton the mathematical field by some distributed covers. Since the mathematical field is defined irrelevant with the geometrical shape of the physical field, any complex structure can be covered simply by mathematical covers with regular shapes. The voxel data is employed for cover distribution by using square or cubic covers so that the merit of voxel analysis can be inherited to improve the efficiency of solid structural analysis. The problem of linear independence is discussed for Finite Cover Method and some mathematical conditions for linear independence are proposed. The technique of "Shape Voxel" is proposed for integration of stiffness matrix and evaluation of boundary conditions in 3D solid analysis. Numeric examples show that since the model generation using voxel information is very simple, the total analysis becomes more effective. The Finite Cover Method is then applied for large deformation problem, and the re-mesh burden is reduced obviously due to the simple cover distribution. A structural analysis system is developed with the Finite Cover Method, which can process automatically after inputting CAD data. The proposed method can surmount difficulties of model generation in complex 3D solid analysis.

  • Research Products

    (36 results)

All Other

All Publications (36 results)

  • [Publications] 鈴木 克幸 ほか: "多重ボクセル情報を用いたソリッド構造の解析法"計算工学講演会論文集. 2巻2号. 395-398 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 大坪 英臣 ほか: "被覆単位で精度をコントロ〜ルするマニフォ〜ルド法"計算工学講演会論文集. 2巻2号. 339-402 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 鈴木 克幸 ほか: "ボクセル情報を用いたソリッド構造の解析法"日本造船学会論文集. 第182号. 595-600 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中西 克嘉 ほか: "有限被覆法(FCM)による弾性体のメッシュフリ〜解析"応用力学連合講演会. 第47回. 465-466 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 鈴木 克幸 ほか: "ボクセル被覆による3次元ソリッドのメッシュフリ〜解法"応用力学連合講演会. 第47回. 467-468 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 鈴木 克幸 ほか: "ボクセル被覆による3次元ソリッドのメッシュレス解析"応用力学論文集. Vol.1. 1-8 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 鈴木 克幸 ほか: "ボクセル被覆を用いたソリッド構造メッシュレス解析の精度コントロ〜ル"日本機械学会計算力学講演会論文集. 第11回. 155-156 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 鈴木 克幸 ほか: "境界適合ボクセル要素の開発"日本造船学会論文集. 第184号. 497-503 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 鈴木 克幸 ほか: "有限被覆法による3次元ソリッド構造の解析法"日本造船学会論文集. 第184号. 505-512 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 鈴木 克幸 ほか: "境界適合ボクセル要素の開発とその汎用有限要素コ〜ドへの組み込み"計算工学講演会論文集. Vol.3. 273-376 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中西 克嘉 ほか: "ボクセル解析のポストセッシング手法"計算工学講演会論文集. Vol.3. 377-380 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 金 伝栄 ほか: "有限被覆法の近似関数の一次独立性に関する考察"計算工学講演会論文集. Vol.3. 381-384 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 大坪 英臣: "有限被覆法による3次元ソリッドボクセル解析の精度コントロ〜ル"計算工学講演会論文集. Vol.3. 387-388 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 鈴木 克幸: "有限被覆法によるメッシュレス解析法"理論応用力学講演会論文集. 第48回. 296-299 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中西 克嘉 ほか: "ボクセル被覆を用いた大変形解析"計算工学講演会論文集. Vol.4. 167-170 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 金 伝栄 ほか: "hpボクセル解析の試み"計算工学講演会論文集. Vol.4. 171-174 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 鈴木 克幸 ほか: "ボクセル被覆を用いた3次元ソリッド大変形解析"応用力学論文集. Vol.2. 279-286 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 鈴木 克幸 ほか: "有限被覆法によるメッシュレス大変形解析"日本機械学会計算力学講演会講演論文集. 第12回. 741-742 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Katsuyuki SUZUKI et. al.: "Analysis Method for Solid Structures Using Multiple Voxel Information."Proceeding of the Conference on Coputaitional Engineering and Science. Vol. 2. 395-398 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hideomi OHTSUBO et. al.: "Manifold Method Controlling Accuracy Using Finite Covers."Proceeding of the Conference on Coputaitional Engineering and Science. Vol. 2. 399-402 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyuki SUZUKI et. al.: "The Analysis Method of Solid Structure Using Voxel Data."Journal of Society of Naval Architects of Japan. Vol. 182. 595-600 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyoshi NAKANISHI et. al.: "Meth Free Analysis of Erastic Probrem Cover Method."Nat. Cong. of Theoretical and Applid Mechanics. Vol. 47. 465-466 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyuki SUZUKI et. al.: "Mesh Free Analysis of 3D Solid Structure Using Voxel Covers."Nat. Cong. of Theoretical and Applid Mechanics. Vol. 47. 467-468 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyuki SUZUKI et. al.: "The Meshliss Analysis of Solid Structure Using Voxel Cover."Theoretical and Applid Mechanics. Vol. 1. 1-8 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyuki SUZUKI et. al.: "The Accuracy Control of Solid Analysis Using Voxel Cover."Proceeding of the Conference on The Japan Society of Mechanical Engineers. Vol. 11. 155-156 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyuki SUZUKI et. al.: "The Development of Boundary Fit Voxel Element."Journal of The Society of Naval Architects of Japan. Vol. 184. 497-503 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyuki SUZUKI et. al.: "Three Dimensional Solid Analysis Using Finit Cover Method."Journal of The Society of Naval Architects of Japan. Vol. 184. 505-512 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyuki SUZUKI et. al.: "The Development of Boundary Fitted Voxel Element and Its Implemention into General Purpose FEM Code."Proceeding of the Conference on Coputaitional Engineering and Science. Vol. 3. 273-376 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyoshi NAKANISHI et. al.: "The Post Processing of Voxel Analysis."Proceeding of the Conference on Coputaitional Engineering and Science. Vol. 3. 277-380 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Jin CHUANRONG et. al.: "On the Independence of Approximation Function in Finite Cover Method."Proceeding of the Conference on Coputaitional Engineering and Science. Vol. 3. 381-384 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hideomi OHTSUBO et. al.: "The Accuracy Control of Voxel Analysis Using Finite Cover Method."Proceeding of the Conference on Coputaitional Engineering and Science. Vol. 3. 387-388 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyuki SUZUKI: "The Meshless Analysis Using Finite Cover Method."Japan NCTAM, 1999 Preprint. Vol. 48. 296-299 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyuki NAKANISHI et. al.: "The Large Deformation Analysis of Solid Structure Using Voxel Cover."Proceeding of the Conference on Coputaitional Engineering and Science. Vol. 4. 167-170 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Jin CHUANRONG et. al.: "hp-Voxel Analysis."Proceeding of the Conference on Coputaitional Engineering and Science. Vol. 4. 171-174 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyuki SUZUKI et. al.: "The Large Deformation Analysis of Solid Structure Using Voxel Cover."Theoretical and Applid Mechanics. Vol. 2. 279-286 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyuki SUZUKI et. al.: "The Meshless Large Deformation Analysis Using Finite Cover Method."Proceeding of the Conference on The Japan Society of Mechanical Engineers. Vol. 12. 741-742 (1999)

    • Description
      「研究成果報告書概要(欧文)」より

URL: 

Published: 2001-10-23  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi