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

Development of estimation method for capsize risk for an autonomous ship in waves

Research Project

Project/Area Number 19H02360
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 24020:Marine engineering-related
Research InstitutionOsaka University

Principal Investigator

Umeda Naoya  大阪大学, 大学院工学研究科, 名誉教授 (20314370)

Co-Investigator(Kenkyū-buntansha) 松田 秋彦  国立研究開発法人水産研究・教育機構, 水産技術研究所(神栖), 主幹研究員 (10344334)
牧 敦生  大阪大学, 大学院工学研究科, 准教授 (50556496)
酒井 政宏  大阪大学, 大学院工学研究科, 助教 (30845334)
Project Period (FY) 2019-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥16,250,000 (Direct Cost: ¥12,500,000、Indirect Cost: ¥3,750,000)
Fiscal Year 2022: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2021: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2020: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2019: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Keywordsrisk analysis / parametric rolling / pure loss of stability / broaching / autonomous ship / stochastic approach / stability criteria / chaos control / water on deck / short-crested waves / automatic steering / stochastic model / 自動運航船 / パラメトリック横揺れ / 甲板滞留水 / 転覆確率 / カオス制御 / 短波頂不規則波 / 波乗り / 風力推進 / ブローチング / 非損傷時復原性 / 最適制御理論 / 復原力喪失 / 加速度 / 最適制御 / 非線形力学系 / リスク評価 / 確率論的平均化法 / クリティカルウエーブ法 / 荒天航行
Outline of Research at the Start

国際海事機関IMOで議論が始まっている、船舶転覆のリスク評価による設計基準と操船基準の策定に必要となる、波浪中における船舶復原性転覆リスクの推定法を構築するための研究を行います。すなわち、船舶がその1生涯で運用中に転覆または大傾斜事故を生じる確率とその被害度を計算で推定し、模型実験などで検証することが求められています。このため、これら危険確率の理論推定に確率微分方程式による方法を導入しその検証に新たな展開を工夫します。本研究ではこれらに加え、無人化、自動運航への対処も行うこととします。すなわち、人間の操船と最適制御理論による自動運航の対比より、荒天操船の将来を切り拓く方法論を導きます。

Outline of Final Research Achievements

Methodologies for evaluating the risk of stability failures due to parametric rolling, pure loss of stability on a wave crest and broaching were developed. They were validated with model experiments in short-crested irregular waves for accident ships by confirming that the numerically estimated failure probabilities exist within the confidence intervals of those obtained from the model experiments. In the light of averaging methos, stochastic differential equations and optimal control theory, chaos control and so on, simplified and real-time operational guidance applicable to the onboard use of autonomous ships. Furthermore, the effect of trapped water on deck on stability was clarified by model experiments and the shallow water wave theory.

Academic Significance and Societal Importance of the Research Achievements

これまでのほとんどの船舶は船上の操船者の的確ではあるがあいまいな判断により荒天下でも安全な航海を行ってきた。本研究では、この判断を力学原理と確率理論により転覆リスク評価法として置き換えることで行い、その妥当性を実海域と相似な波頂不規則波中の模型実験により検証できた。これにより、将来安全な自動運航船を実現することで、労働力不足に対応できる物流システムの構築、ヒューマンロスによる事故の廃絶に実現可能性が出てくる。また、IMOの新しい復原性基準に本研究成果の一部が反映された。

Report

(5 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • Research Products

    (48 results)

All 2023 2022 2021 2020 2019 Other

All Int'l Joint Research (4 results) Journal Article (36 results) (of which Int'l Joint Research: 15 results,  Peer Reviewed: 28 results,  Open Access: 8 results) Presentation (8 results) (of which Int'l Joint Research: 1 results)

  • [Int'l Joint Research] Hamburg University of Technology(ドイツ)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] ハンブルク工科大学(ドイツ)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] ハンブルク工科大学(ドイツ)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] ハンブルク工科大学(ドイツ)

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Probabilistic estimation of the large heel due to broaching associated with surf-riding for a ship in short-crested irregular waves and its experimental validation2023

    • Author(s)
      Kazuma Matsubara, Naoya Umeda, Akihiko Matsuda
    • Journal Title

      Ocean Engineering

      Volume: 269 Pages: 113540-113540

    • DOI

      10.1016/j.oceaneng.2022.113540

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Estimation of acceleration probability density function for parametric rolling using PLIM2023

    • Author(s)
      Maruyama Yuuki、Maki Atsuo、Dostal Leo、Umeda Naoya
    • Journal Title

      Ocean Engineering

      Volume: 280 Pages: 114561-114561

    • DOI

      10.1016/j.oceaneng.2023.114561

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An investigation into false-negative cases for low-freeboard ships in the vulnerability criteria of dead ship stability2022

    • Author(s)
      Satoko Munakata, Kosuke Takagaki, Naoya Umeda, Hiroaki Koike, Masahiro Sakai, Atsuo Maki, Kohei Manabe, Akihiko Matsuda
    • Journal Title

      Ocean Engineering

      Volume: 266 Pages: 113130-113130

    • DOI

      10.1016/j.oceaneng.2022.113130

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Application of linear filter and moment equation for parametric rolling in irregular longitudinal waves2022

    • Author(s)
      Maruyama Yuuki、Maki Atsuo、Dostal Leo、Umeda Naoya
    • Journal Title

      Journal of Marine Science and Technology

      Volume: 27 Issue: 4 Pages: 1252-1267

    • DOI

      10.1007/s00773-022-00903-8

    • NAID

      40022810011

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Stochastic Assessment Using Moment Equation Method for Parametric Rolling of Ships in Random Seaways2022

    • Author(s)
      Maruyama, Y, Maki, A, Dostal, L, Umeda, N
    • Journal Title

      Proceedings of the 18th International Ship Stability Workshop

      Volume: 1 Pages: 161-166

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Measures for avoiding self-repetition effect in the direct stability assessment2022

    • Author(s)
      Maruyama, Y, Umeda, N, Maki, A
    • Journal Title

      Proceedings of the 18th International Ship Stability Workshop

      Volume: 1 Pages: 177-183

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Methodology for assessing fundamental parametric roll other than the principal parametric roll2022

    • Author(s)
      Uchida, Y, Sakai, M, Umeda, N
    • Journal Title

      Proceedings of the 18th International Ship Stability Workshop

      Volume: 1 Pages: 185-193

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] PROBABILISTIC ASSESSMENT ON THE EFFECTIVENESS OF MOMENTARY STATE-FEEDBACK CONTROL FOR BROACHING-TO PREVENTION IN REAL-TIME2022

    • Author(s)
      Sreenath Maniyappan, Naoya Umeda
    • Journal Title

      Proceedings of the 7th Worls Maritime Technology Conference

      Volume: 1 Pages: 181-189

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Broaching-to prevention in real-time using momentary state feedback control focusing on the saddle point in the system2022

    • Author(s)
      Sreenath Maniyappan, Naoya Umeda
    • Journal Title

      Journal of Marine Science and Technology

      Volume: online first Issue: 2 Pages: 827-839

    • DOI

      10.1007/s00773-021-00870-6

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Effect of separation vortices on wave-induced sway force and yaw moment acting on a ship running in stern quartering waves2022

    • Author(s)
      Thet Zaw Htet, Naoya Umeda, Yasuyuki Toda, Hirotada Hashimoto, Tomoyuki Omura, Frederick Stern
    • Journal Title

      Journal of Marine Science and Technology

      Volume: 27 Issue: 1 Pages: 203-213

    • DOI

      10.1007/s00773-021-00826-w

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Improved stochastic averaging method using Hamiltonian for parametric rolling in irregular longitudinal waves2022

    • Author(s)
      Yuuki Maruyama, Atsuo Maki, Leo Dostal, Naoya Umeda
    • Journal Title

      Journal of Marine Science and Technology

      Volume: 27 Issue: 1 Pages: 186-202

    • DOI

      10.1007/s00773-021-00824-y

    • NAID

      40022808377

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Theoretical determination of asymmetric rolling amplitude in irregular beam seas2022

    • Author(s)
      Atsuo Maki, Leo Dostal, Maruyama, Masahiro Sakai, Toru Katayama, Kei Sugimoto, Yusuke Fukumoto, Naoya Umeda
    • Journal Title

      Journal of Marine Science and Technology

      Volume: 27 Issue: 1 Pages: 40-51

    • DOI

      10.1007/s00773-021-00810-4

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Theoretical estimation of joint probability density function of roll angle and angular acceleration in beam seas using PDF line integral method2022

    • Author(s)
      Atsuo Maki,Leo Dostal,Yuuki Maruyama,Kenji Sasa,Masahiro Sakai,Kei Sugimoto,Yusuke Fukumoto,Naoya Umeda
    • Journal Title

      Journal of Marine Science and Technology

      Volume: 27 Issue: 1 Pages: 814-822

    • DOI

      10.1007/s00773-022-00873-x

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Theoretical determination of roll angular jerk of ships in irregular beam seas using PDF line integral method2022

    • Author(s)
      Atsuo Maki,Leo Dostal,Yuuki Maruyama,Masahiro Sakai,Kei Sugimoto,Yusuke Fukumoto
    • Journal Title

      Journal of Marine Science and Technology

      Volume: 27 Issue: 1 Pages: 163-172

    • DOI

      10.1007/s00773-021-00823-z

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Nonlinear dynamics of ship capsizing at sea2022

    • Author(s)
      Atsuo Maki, Yuu Miino, Naoya Umeda, Masahiro Sakai, Tetsushi Ueta, Hiroshi Kawakami
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 13 Issue: 1 Pages: 2-24

    • DOI

      10.1587/nolta.13.2

    • NAID

      130008139273

    • ISSN
      2185-4106
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] PARAMETRIC ROLLING OF A LARGE CRUISE SHIP IN IRREGULAR BEAM WAVES2022

    • Author(s)
      Hiroaki Koike, Naoya Umeda, Takashi Tsuji, and Akihiko Matsuda
    • Journal Title

      日本クルーズ&フェリー学会論文集

      Volume: 12 Pages: 1-8

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Probabilistic estimation of the large heel due to broaching associated with surf-riding for a ship in short-crested irregular waves and its experimental validation2021

    • Author(s)
      Kazuma Matsubara, Naoya Umeda, Akihiko Matsuda
    • Journal Title

      Proceedings of the 1st International Conference on the Stability and Safety of Ships and Ocean Vehicles

      Volume: IS3 Pages: 1-7

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An investigation into false-negative cases for low freeboard ships in vulnerability criteria of dead ship stability2021

    • Author(s)
      Munakata,K. Takagaki, N. Umeda, M. Sakai, H. Koike, A. Maki, K. Manabe, A. Matsuda
    • Journal Title

      Proceedings of the 1st International Conference on the Stability and Safety of Ships and Ocean Vehicles

      Volume: IS15 Pages: 1-10

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation in Roll Response of Uncoupled Parametric Roll Equation and Its Estimation by an Averaging Method2021

    • Author(s)
      Masahiro Sakai; Naoya Umeda; Atsuo Maki
    • Journal Title

      Proceedings of the 1st International Conference on the Stability and Safety of Ships and Ocean Vehicles

      Volume: IS12 Pages: 1-10

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] New Aspects of Stochastic Evaluation of Random Roll Motion of Ship2021

    • Author(s)
      Atsuo Maki,Leo Dostal,Yuuki Maruyama,Masahiro Sakai,Naoya Umeda
    • Journal Title

      Proceedings of the 1st International Conference on the Stability and Safety of Ships and Ocean Vehicles

      Volume: IS6 Pages: 1-10

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Effectiveness and mechanism of broaching-to prevention using global optimal control with evolution strategy (CMA-ES)2020

    • Author(s)
      Maniyappan Sreenath、Umeda Naoya、Maki Atsuo、Akimoto Youhei
    • Journal Title

      Journal of Marine Science and Technology

      Volume: online first Issue: 2 Pages: 382-394

    • DOI

      10.1007/s00773-020-00743-4

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On broaching-to prevention using optimal control theory with evolution strategy (CMA-ES)2020

    • Author(s)
      Maki Atsuo、Sakamoto Naoki、Akimoto Youhei、Banno Yuki、Maniyappan Sreenath、Umeda Naoya
    • Journal Title

      Journal of Marine Science and Technology

      Volume: 26 Issue: 1 Pages: 71-87

    • DOI

      10.1007/s00773-020-00722-9

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Manoeuvring simulations in adverse weather conditions with the effects of propeller and rudder emergence taken into account2020

    • Author(s)
      Aung Myo Zin、Umeda Naoya
    • Journal Title

      Ocean Engineering

      Volume: 197 Pages: 106857-106857

    • DOI

      10.1016/j.oceaneng.2019.106857

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Theoretical estimation of roll acceleration in beam seas using PDF line integral method2020

    • Author(s)
      Maki Atsuo、Dostal Leo、Maruyama Yuuki、Sakai Masahiro、Sugimoto Kei、Fukumoto Yusuke、Umeda Naoya
    • Journal Title

      Journal of Marine Science and Technology

      Volume: online first Issue: 3 Pages: 828-834

    • DOI

      10.1007/s00773-020-00770-1

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Systematic Experimental Study on Water on Deck Effect of an Offshore Supply Vessel in Stern Quartering Waves2020

    • Author(s)
      Sreenath Subramaniam, Naoya Umeda, Atsuo Maki, Akihiko Matsuda
    • Journal Title

      日本船舶海洋工学会講演会論文集

      Volume: 30 Pages: 623-627

    • NAID

      40022396054

    • Related Report
      2020 Annual Research Report
  • [Journal Article] New Theoretical Estimation Method of Roll Acceleration and Jerk in Beam Seas with Use of PDF Line Integral (3rd Report: New Approximation Formula)2020

    • Author(s)
      Atsuo Maki, Leo Dostal, Yuuki Maruyama, Masahiro Sakai, Kei Sugimoto, Yusuke Fukumoto, Naoya Umeda
    • Journal Title

      日本船舶海洋工学会講演会論文集

      Volume: 31 Pages: 113-117

    • NAID

      40022807866

    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Journal Article] New Theoretical Estimation Method of Roll Acceleration and Jerk in Beam Seas with Use of PDF Line Integral (4th Report: Joint PDF of Roll and Acceleration)2020

    • Author(s)
      Atsuo Maki, Leo Dostal, Yuuki Maruyama, Kenji Sasa, Masahiro Sakai, Kei Sugimoto, Yusuke Fukumoto, Naoya Umeda
    • Journal Title

      日本船舶海洋工学会講演会論文集

      Volume: 31 Pages: 119-123

    • NAID

      40022809052

    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Journal Article] Improved Stochastic Averaging Method Using Hamiltonian for Parametric Rolling in Irregular Longitudinal Waves2020

    • Author(s)
      Yuuki Maruyama, Atsuo Maki, Leo Dostal, Naoya Umeda
    • Journal Title

      日本船舶海洋工学会講演会論文集

      Volume: 31 Pages: 133-141

    • NAID

      40022808377

    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Journal Article] Theoretical Estimation of Roll Amplitude for Nonlinear Equation of Motion in Beam Seas (2nd Report)2020

    • Author(s)
      Atsuo Maki, Leo Dostal, Yuuki Maruyama, Masahiro Sakai, Toru Katayama, Kei Sugimoto, Yusuke Fukumoto, Naoya Umeda
    • Journal Title

      日本船舶海洋工学会講演会論文集

      Volume: 31 Pages: 153-157

    • NAID

      40022808825

    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Journal Article] 大型クルーズ客船の 不規則 向波中 パラメトリック横揺れに関する考察2020

    • Author(s)
      丸山湧生 梅田 直哉 牧 敦生
    • Journal Title

      日本クルーズ&フェリー学会論文集

      Volume: 10 Pages: 1-5

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A perspective on theoretical estimation of stochastic nonlinear rolling2019

    • Author(s)
      A. Maki,Y. Maruyama,N. Umeda,Y. Miino,T. Katayama,M. Sakai,T. Ueta
    • Journal Title

      Proceedings of the 17th International Ship Stability Workshop

      Volume: 1 Pages: 39-46

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Pure loss of stability in stern quartering waves: revisited with numerical simulations reproducing accidents2019

    • Author(s)
      N. Umeda,M. Osugi,Y. Ikenaga,A. Maki,A. Matsuda
    • Journal Title

      Proceedings of the 17th International Ship Stability Workshop

      Volume: 1 Pages: 103-110

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Wave radar application to the simplified parametric roll operational guidance at actual sea2019

    • Author(s)
      T. Yano,N. Umeda,K. Hirayama,M. Baba,M. Sakai
    • Journal Title

      Proceedings of the 17th International Ship Stability Workshop

      Volume: 1 Pages: 91-96

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] パラメトリック横揺れの確率論的数値評価法の検討2019

    • Author(s)
      森木 和哉, 梅田 直哉
    • Journal Title

      日本船舶海洋工学会講演論文集

      Volume: 29 Pages: 215-218

    • NAID

      40022395392

    • Related Report
      2019 Annual Research Report
  • [Journal Article] New Theoretical Estimation Method of Roll Acceleration and Jerk in Beam Seas with Use of PDF Line Integral2019

    • Author(s)
      Atsuo Maki, Leo Dostal, Yuuki Maruyama, Munehiko Minoura, Toru Katayama, Masahiro Sakai, Kei Sugimoto, Yusuke Fukumoto, Naoya Umeda
    • Journal Title

      日本船舶海洋工学会講演論文集

      Volume: 29 Pages: 311-315

    • NAID

      40022395480

    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Journal Article] Theoretical Estimation of Roll Amplitude for Nonlinear Equation of Motion in Beam Seas2019

    • Author(s)
      Atsuo Maki, Leo Dostal, Yuuki Maruyama, Munehiko Minoura, Toru Katayama, Masahiro Sakai, Kei Sugimoto, Yusuke Fukumoto, Naoya Umeda
    • Journal Title

      日本船舶海洋工学会講演論文集

      Volume: 29 Pages: 317-320

    • NAID

      40022395484

    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Direct Assessment of Large Heel Occurrence Probability for a RoPax Ship in Short-Crested Irregular Waves2023

    • Author(s)
      Okamoto Souichiro, Umeda Naoya, Masamoto Shinya, Matsuda Akihiko
    • Organizer
      日本船舶海洋工学会 第24回 推進・運動性能研究会
    • Related Report
      2022 Annual Research Report
  • [Presentation] Probabilistic Aspect of Initial State Effect on Broaching Danger2023

    • Author(s)
      Fujita Hirochika, Umeda Naoya
    • Organizer
      日本船舶海洋工学会 第24回 推進・運動性能研究会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 不規則波形信号の繰り返し防止に ついて2022

    • Author(s)
      丸山湧生,梅田直哉
    • Organizer
      日本船舶海洋工学会 第23回 推進・運動性能研究会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 不規則波中におけるパラメトリック横揺れ発生条件の推定法2022

    • Author(s)
      牧敦生、丸山涌生
    • Organizer
      日本船舶海洋工学会秋季講演会
    • Related Report
      2022 Annual Research Report
  • [Presentation] Some Remarks on Simplified Operational Guidance for Parametric Rolling2022

    • Author(s)
      Naoya Umeda, Masahiro Sakai, Hirokazu Okamoto
    • Organizer
      日本船舶海洋工学会秋季講演会
    • Related Report
      2022 Annual Research Report
  • [Presentation] An Averaging Method for Estimating Parametric Roll in Regular Longitudinal Waves by Uncoupled Roll Model with Restoring Variation due to Vertical Motions2022

    • Author(s)
      Masahiro Sakai, Naoya Umeda, Atsuo Maki
    • Organizer
      日本船舶海洋工学会秋季講演会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 国際470級セーリングヨットの風下航におけるパンピングの効果 に関する非線形力学的考察2021

    • Author(s)
      瀬川教文, 梅田直哉
    • Organizer
      日本船舶海洋工学会秋季講演会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Parametric Rolling of a Large Cruise Ship in Irregular Beam Waves2021

    • Author(s)
      Hiroaki Koike, Naoya Umeda, Takashi Tsuji, Akihiko Matsuda
    • Organizer
      International Conference PAAMES/AMEC2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research

URL: 

Published: 2019-04-18   Modified: 2024-01-30  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi