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On the Mutual Interaction of Weakly Coupled Self-Excited Oscillators with Dry Friction

Research Project

Project/Area Number 61550192
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 機械力学・制御工学
Research InstitutionKyushu Institute of Technology

Principal Investigator

ARAKI Y.  九州工業大学, 工学部, 助教授 (40039045)

Co-Investigator(Kenkyū-buntansha) JINNOUCHI Y.  Kyushu Institute of Technology, Professor, 工学部, 教授 (10039092)
井上 順吉  九州工業大学, 学長 (40038998)
INOUE J.  Kyushu Institute of Technology, Associate Professor (70112357)
Project Period (FY) 1986 – 1987
Project Status Completed (Fiscal Year 1987)
Budget Amount *help
¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 1987: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1986: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsSelf-Excited oscillations / Synchronization / Frequency entrainment / Mutual interaction / Mutual synchronization of intercoupled oscillators
Research Abstract

The mutual synchronization and the almost entrained or chaotic motions of the weakly intercoupled self-excited oscillators with dry friction are investigated theoretically and numerically. The analyses were developed for the system in which a definite number (e.g. 2,3,4 and 5) of the self-excited oscillators that have small detuning between their natural frequencies, are connected by viscous elements.
The dynamic model of the system are analyzed numerically by use of the Willson's-theta-method, for both the synchronous conditions and non-synchronous conditions. And after the out-put data of each oscillator are analyzed by the First Fourier Transformer. When the coupling factors are strong enough, there occurs mutual entrainment. The resulting entrained oscillation can be expressed as a aproximately harmonic oscillation, and the frequency becomes approximately average value of their natural frequencies. When the factors of the coupling elements are rather weak, there occur-non-entranined oscillations, i.e. chaotic motions, In the chaos region, there can be observed, generally, the relative coarrescense of the neighboring frequencies, some stages with different behavior of chaotic oscillations. The theoretical results using the averaging method and harmonic balance method, agreed well with the results of numerical simulations.

Report

(2 results)
  • 1987 Final Research Report Summary
  • 1986 Annual Research Report
  • Research Products

    (3 results)

All Other

All Publications (3 results)

  • [Publications] ARAKI,Y.;INOUE,J.;JINNOUCHI,Y. and TAKADA,H: Proceedings of the International Conference On Mechanical Dynamics, Shenyang, China.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Araki, Y., Inoue, J., Jinnouchi, Y., and Takada, H.: "On the Mutual Interaction of Weakly Coupled Self-Excited Oscillators with Dry Friction" Proceedings of the International Conference on Mechanical Dynamics, Shenyang, China. 1. 361-366 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] ARAKI Y.;INOUE J.;JINNOUCHI Y.;TAKADA H: Proceedings of the International Conference On Mechanical Dynamic´s,Shenyang,China. (1987)

    • Related Report
      1986 Annual Research Report

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Published: 1987-03-31   Modified: 2016-04-21  

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