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Vibration analysis of continua using substructure change and elimination methods

Research Project

Project/Area Number 18K04037
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 20010:Mechanics and mechatronics-related
Research InstitutionKansai University

Principal Investigator

Yamada Keisuke  関西大学, システム理工学部, 准教授 (80456798)

Project Period (FY) 2018-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2018: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywordsモード解析 / 連続体 / 波動 / 連成振動 / 振動解析 / 消音器 / 開口端補正 / ヒステリシス減衰 / 強制振動 / 干渉 / 曲げ波 / 振動絶縁 / 無反射境界 / 進行波
Outline of Final Research Achievements

In this study, we proposed the substructure elimination method as a method to analyze vibration of a continuum without discretization. This method has the advantage of requiring fewer degrees of freedom. In this method, the desired structure is obtained by eliminating substructures from the whole structure, which is a subtractive concept. We also proposed a method to analyze vibration of a continuum by changing the characteristics of the substructures instead of eliminating them. These proposed methods are categorized into modal analysis of a continuum, and in this study, we further proposed several methods: extraction of traveling waves using modal analysis, coupled vibration analysis of acoustic field including continuous structure, and optimal tuning of damped side-branch silencer and damped Helmholtz silencer.

Academic Significance and Societal Importance of the Research Achievements

本研究では,連続体のモード解析を発展させることにより,連続体を空間的に離散化することなく,その振動解析を行うことができる手法を確立した.これにより,任意の座標で振動変位等の情報を得ることができる.モード解析では固有モードの重ねあわせを用いるが,これは言い換えれば定在波の重ねあわせである.この定在波の重ねあわせで進行波である前進波と後退波を抽出することができることも示した.この方法を用いて連続体内部の波動の伝播を可視化することにより,新たな視点で振動を抑制するための対策を立てることができる.

Report

(5 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (14 results)

All 2021 2020 2019 2018 Other

All Journal Article (3 results) (of which Peer Reviewed: 3 results,  Open Access: 3 results) Presentation (9 results) (of which Int'l Joint Research: 3 results) Remarks (2 results)

  • [Journal Article] Optimum tuning of damped Helmholtz silencer using an equivalent discrete model and considering open-end correction2021

    • Author(s)
      YAMADA Keisuke、SHIMIZU Tatsuya、UTSUNO Hideo、KURATA Junichi、MURAKAMI Yoshihiro
    • Journal Title

      Mechanical Engineering Journal

      Volume: 8 Issue: 4 Pages: 21-00139-21-00139

    • DOI

      10.1299/mej.21-00139

    • NAID

      130008074695

    • ISSN
      2187-9745
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Optimum tuning of damped side-branch silencer using equivalent discrete model and considering open-end correction2021

    • Author(s)
      YAMADA Keisuke, SHIMIZU Tatsuya, UTSUNO Hideo, KURATA Junichi, MURAKAMI Yoshihiro
    • Journal Title

      Mechanical Engineering Journal

      Volume: 8 Issue: 1 Pages: 20-00417-20-00417

    • DOI

      10.1299/mej.20-00417

    • NAID

      130007986831

    • ISSN
      2187-9745
    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Modal analysis of continuous systems by replacing displacement excitation with equivalent excitation force and fixed boundary2020

    • Author(s)
      YAMADA Keisuke, UTSUNO Hideo
    • Journal Title

      Mechanical Engineering Journal

      Volume: 7 Issue: 4 Pages: 20-00003-20-00003

    • DOI

      10.1299/mej.20-00003

    • NAID

      130007887823

    • ISSN
      2187-9745
    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] ヘルムホルツ消音器の形状と開口端補正の関係2021

    • Author(s)
      力石滉大、山田啓介
    • Organizer
      第17回「運動と振動の制御」シンポジウム
    • Related Report
      2021 Annual Research Report
  • [Presentation] Coupled vibration analysis of acoustic field including flexible structures2020

    • Author(s)
      Keisuke YAMADA
    • Organizer
      The 15th International Conference on MOTION AND VIBRATION CONTROL
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] ヒステリシス減衰を有する振動系の自由振動解析2020

    • Author(s)
      山田啓介
    • Organizer
      Dynamics and Design Conference 2020
    • Related Report
      2020 Research-status Report
  • [Presentation] Consideration of Traveling Waves Using Superposition of Vibration Modes2019

    • Author(s)
      Keisuke Yamada
    • Organizer
      The 18th Asia-Pacific Vibration Conference
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 干渉の効果を用いたはりの曲げ波の伝播量低減による振動絶縁2019

    • Author(s)
      桑原大知,山田啓介
    • Organizer
      Dynamics and Design Conference 2019
    • Related Report
      2019 Research-status Report
  • [Presentation] 内部に連続体構造物が設置された音場の連成振動解析2019

    • Author(s)
      山田啓介
    • Organizer
      Dynamics and Design Conference 2019
    • Related Report
      2019 Research-status Report
  • [Presentation] 質量付加による干渉の効果を用いたはりの曲げ波の伝播量低減2019

    • Author(s)
      桑原大知,山田啓介
    • Organizer
      第20回システムインテグレーション部門講演会
    • Related Report
      2019 Research-status Report
  • [Presentation] VIBRATION ANALYSIS USING SUBSTRUCTURE CHANGE AND ELIMINATION METHODS2018

    • Author(s)
      Yamada Keisuke
    • Organizer
      The 25th International Congress on Sound and Vibration
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] モード合成を用いた定在波および進行波に関する考察2018

    • Author(s)
      山田啓介
    • Organizer
      Dynamics and Design Conference 2018
    • Related Report
      2018 Research-status Report
  • [Remarks] YAMADA Keisuke's website

    • URL

      http://vibration.jp/

    • Related Report
      2021 Annual Research Report
  • [Remarks] 山田のHP

    • URL

      http://vibration.jp/

    • Related Report
      2020 Research-status Report 2019 Research-status Report 2018 Research-status Report

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Published: 2018-04-23   Modified: 2023-01-30  

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