A study of numerical method for the coefficient identification problem in elastic wave field with real measured data

• Project/Area Number: 20540104
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Ibaraki University
• Principal Investigator: SHIROTA Kenji Ibaraki University, 情報科学部, 准教授 (90302322)
• Project Period (FY): 2008 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000); Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2008: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
• Keywords: 数値解法 / 逆問題 / 欠陥同定 / 係数同定 / 周波数データ / 実測データ / 数値計算 / Tikhonov正則化法 / モデル化誤差 / 射影勾配法 / 随伴解法 / ソース項同定

Research Abstract

In this research, we considered about the numerical method for the damage identification in steel-concrete composite beams by finite frequency data. The minimizing problem with constrained condition was produced by using the variational method and the Tikhonov type regularization technique. We proposed the iterated type algorithm by applying the projected gradient type method to our problem. By the numerical experiment with simulated and real data, we showed the efficiency of our method.

Research Products

• [Journal Article] Numerical Solution to the Cauchy Problem of the Laplace Equation with Noisy Data (2008)
  • Author(s): Kazuei Onishi, Kenji Shirota, Takemi Shigeta
  • Journal Title: Theoretical and Applied Mechanics Vol.57 Pages: 481-486
  • NAID: 130004463713
  • Peer Reviewed
• [Journal Article] Numerical Solution to the Cauchy Problem of the Laplace Equation with Noisy Data (2008)
  • Author(s): K. Onishi, K. Shirota, and T. Shigeta
  • Journal Title: Theoretical and Applied Mechanics 57 Pages: 481-486
  • NAID: 130004463713
  • Peer Reviewed
• [Presentation] An iterated method for damage identification of steel-concrete composite beam with finite eigendata (2010)
  • Author(s): 神保秀一, Antonino Morassi, 中村玄, 代田健二
  • Organizer: 日本応用数理学会2010年度年会
  • Place of Presentation: 明治大学駿河台キャンパス
  • Year and Date: 2010-09-06
• [Presentation] 有限個周波数データを用いた合成梁の欠陥同定問題に対する数値解法 (2010)
  • Author(s): 神保秀一, Antonino Morassi, 中村玄, 代田健二
  • Organizer: 京都大学数理解析研究所共同研究集会「偏微分方程式の逆問題解析とその周辺分野に関する研究」
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2010-06-24
• [Presentation] 周波数データを用いた鉄とコンクリートによる合成梁の欠陥同定問題に対する数値計算法 (2010)
  • Author(s): 神保秀一, Antonino Morassi, 中村玄, 代田健二
  • Organizer: 第59回理論応用力学講演会
  • Place of Presentation: 日本学術会議
  • Year and Date: 2010-06-10
• [Presentation] Damage Identification in Steel-Concrete Composite Beams by Finite Eigendata, IV European Congress on Computational Mechanics : Solids (2010)
  • Author(s): Shuichi Jimbo, Antonino Morrasi, Gen Nakamura, Kenji Shirota
  • Organizer: Structures and Coupled Problems in Engineering
  • Place of Presentation: Palais des Congres(Paris)
  • Year and Date: 2010-05-18
• [Presentation] Damage Identification in Steel-Concrete Composite Beams by Finite Eigendata (2010)
  • Author(s): Shuichi Jimbo, Antonino Morrasi, Gen Nakamura, Kenji Shirota
  • Organizer: IV European Congress on Computational Mechanics : Solids, Structures and Coupled Problems in Engineering
  • Place of Presentation: Palais des Congres, Paris
  • Year and Date: 2010-05-18
• [Presentation] Numerical method for damage identification in steel-concrete composite beams by finite eigendata (2010)
  • Author(s): 神保秀一, Antonino Morassi, 中村玄, 代田健二
  • Organizer: 日本応用数理学会2010年研究部会連合発表会
  • Place of Presentation: 筑波大学筑波キャンパス
  • Year and Date: 2010-03-09
• [Presentation] Numerical method for damage identification in steel-concrete composite beams by finite eigendata (2010)
  • Author(s): 神保秀一, Antonino Morassi, 中村玄, 代田健二
  • Organizer: 日本応用数理学会2010年研究部会連合発表会
  • Place of Presentation: 筑波大学波キャンンパス
  • Year and Date: 2010-03-09
• [Presentation] Numerical method for detecting damage in a steel-concrete composite beam by finite eigenvalue measurements (2009)
  • Author(s): 神保秀一, Antonino Morassi, 中村玄, 代田健二
  • Organizer: 日本応用数理学会2009年度年会
  • Place of Presentation: 大阪大学豊中キャンパス
  • Year and Date: 2009-09-30
• [Presentation] Numerical method for detecting damage in a steel-concrete composite beam by finite eigenvalue measurements (2009)
  • Author(s): Shuichi Jimbo, Antonino Morrasi, Gen Nakamura, Kenji Shirota
  • Organizer: International Conference on Inverse Problems and Applications (invited)
  • Place of Presentation: Hanbat National University(Daejeon, Korea)
  • Year and Date: 2009-08-19
• [Presentation] Numerical method for detecting damage in a steel-concrete composite beam by finite eigenvalue measurements (2009)
  • Author(s): 神保秀一, Antonino Morassi, 中村玄, 代田健二
  • Organizer: International Conference on Inverse Problems and Applications(invited)
  • Place of Presentation: Hanbat National University, Daejeon, Korea
  • Year and Date: 2009-08-19
• [Presentation] Numerical method for the inverse source problem in the linear elastic wave equations (2008)
  • Author(s): 代田健二, 繁田岳美, 大西和榮
  • Organizer: The International Conference on Inverse Problems and its Applications
  • Place of Presentation: 復旦大学(中国上海)
  • Year and Date: 2008-10-10
• [Presentation] 線形弾性波動方程式のソース項同定問題に対する数値計算法 (2008)
  • Author(s): 代田健二, 繁田岳美, 大西和榮
  • Organizer: 日本応用数理学会2008年度年会
  • Place of Presentation: 東京大学柏キャンパス
  • Year and Date: 2008-09-19
• [Remarks]
  • URL: http://info.ibaraki.ac.jp/scripts/websearch/index.htm
• [Remarks]
  • URL: http://info.ibaraki.ac.jp/scripts/websearch/index.htm