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Simplified method to estimate the intensity of instability which causes the pattern formation phenomena in contact rotating systems

Research Project

Project/Area Number 11650251
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Dynamics/Control
Research InstitutionKYUSHU UNIVERSITY

Principal Investigator

KONDOU Takahiro  Kyushu University, Faculty of Engineering, Professor, 大学院・工学研究院, 教授 (80136522)

Co-Investigator(Kenkyū-buntansha) MATSUZAKI Kenichiro  Kyushu University, Faculty of Engineering, Associate Professor, 大学院・工学研究院, 助教授 (80264068)
BONKOBARA Yasuhiro  Kyushu University, Faculty of Engineering, Research Associate, 大学院・工学研究院, 助手 (10294886)
SOWA Nobuyuki  Kyushu University, Faculty of Engineering, Research Associate, 大学院・工学研究院, 助手 (40304753)
SUEOKA Atsuo  Kyushu University, Faculty of Engineering, Professor, 大学院・工学研究院, 教授 (80038083)
Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2000: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1999: ¥2,800,000 (Direct Cost: ¥2,800,000)
KeywordsPattern Formation Phenomena / Contact Rotating System / Time Delay System / Energy Factor / Modal Analysis / Unstable Vibration / Stability Analysis / Optimal Design
Research Abstract

In many contact rotating systems used in the field of mechanical engineering, a large vibration often occurs in operation along with a spontaneous growth of the deformation of system components, and then a periodic deformation pattern is formed on the peripheral surfaces. Such phenomena are mainly caused by the unstable vibration generated in a linear time delay system, and the stability can be analyzed by obtaining the characteristic roots of the system. However, the analytical method has the weak point that a large number of characteristic roots should be obtained for the certain discussion on the stability of the system, since the time delay system has the countable infinite number of characteristic roots. Moreover, the results are not available for a prevention measure of the phenomena, though a large amount of numerical calculation is required. The following subjects were mainly studied to overcome the above difficulties.
1. By applying the concept of modal analysis and a viewpoint … More of energy balance, energy factor was newly introduced for a system with many degrees of freedom. The energy factor represents the intensity of instability for each mode. Moreover, a simplified method to analyze the stability and an optimal design procedure to prevent the pattern formation phenomena were developed by using the energy factor. These methods can give an effective index to prevention measures without obtaining the characteristic roots.
2. The simplified method and the optimal design procedure were applied to two practical examples of pattern formation phenomena as the representative of a system with large degrees of freedom. One is a polygonal deformation phenomena of a paper making machine with many rubber rollers, and the other is that of a rubber roller system in which the longitudinal bending deformation of shafts is considered. As the result, it is confirmed that the present methods can be used more effectively than the previous method without the decrease in computational accuracy for the system with large degrees of freedom. Less

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (15 results)

All Other

All Publications (15 results)

  • [Publications] Takahiro KONDOU: "Simplified Method Using Energy Factor to Estimate the Intensity of Instability which Causes Pattern Formation Phenomena in Contact Rotating Systems"Proceedings of Asia-Pacific Vibration Conference'99. Vol.1. 335-340 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tadashi OKABE: "Forced Vibration Analysis of a Class of Nonlinear Oscillator by Applying the Averaging Method of Elliptic Type"Proceedings of Asia-Pacific Vibration Conference'99. Vol.1. 430-435 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Takahiro KONDOU: "Nonlinear Vibration Analysis and Stability Analysis for Large Scale Structures by the Incremental Transfer Stiffness Coefficient Method"Proceedings of Asia-Pacific Vibration Conference'99. Vol.1. 565-570 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Takahiro RYU: "Flashover Phenomena of a Direct Current Motor"Proceedings of Asia-Pacific Vibration Conference'99. Vol.2. 770-775 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 末岡淳男: "製鉄機械ホットレベラのワークロールに発生する多角形摩耗"日本機械学会論文集(C編). 66・651. 3583-3590 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Takahiro KONDOU: "Simplified Method Using Energy Factor to Estimate the Intensity of Instability which Causes Pattern Formation Phenomena in Contact Rotating Systems"Proceedings of Asia-Pacific Vibration Conference '99. Vol.1. 335-340 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tadashi OKABE: "Forced Vibration Analysis of a Class of Nonlinear Oscillator by Applying the Averaging Method of Elliptic Type"Proceedings of Asia-Pacific Vibration Conference '99. Vol.1. 430-435 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Takahiro KONDOU: "Nonlinear Vibration Analysis and Stability Analysis for Large Scale Structures by the Incremental Transfer Stiffness Coefficient Method"Proceedings of Asia-Pacific Vibration Conference '99. Vol.1. 565-570 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Takahiro RYU: "Flashover Phenomena of a Direct Current Motor"Proceedings of Asia-Pacific Vibration Conference '99. Vol.2. 770-775 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Atsuo SUEOKA: "Polygonal Wear of Work Rolls in a Hot Leveler of Steel Making Machine (in Japanese)"Transaction of the JSME, Series C. Vol.66, No.651. 3583-3590 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 末岡淳男: "製鉄機械ホットレベラのワークロールに発生する多角形摩耗"日本機械学会論文集(C編). 66・651. 3583-3590 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Takahiro KONDOU: "Simplified Method Using Energy Factor to Estimate the Intensity of Instability with Causes Pattern Formation Phenomena in Contact Rotating systems"Proc.Asia-Pacific Vibration Conference '99. Vol.1. 335-340 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Tadashi OKABE: "Forced Vibration Analysis of a Class of Nonlinear Oscillator by Applying the Averaging Method of Elliptic Type"Proc.Asia-Pacific Vibration Conference '99. Vol.1. 430-435 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Takahiro KONDOU: "Nonlinear Vibration Analysis and Stability Analysis for Large Scale Structures by the Incremental Transfer Stiffness Coefficient Method"Proc.Asia-Pacific Vibration Conference '99. Vol.1. 565-570 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Takahiro RYU: "Flashover Phenomena of a Direct Current Motor"Proc.Asia-Pacific Vibration Conference '99. Vol.2. 770-775 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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