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

ANALYSIS ON NONLINEAR BEHAVIOR OF MULTI-DEGREE-OF-FREEDOM SYSTEM RELATED WITH DYNAMIC STIFFNESS OF MACHINE TOOL

Research Project

Project/Area Number 10650123
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 機械工作・生産工学
Research InstitutionChuo University

Principal Investigator

SATO Hisayoshi  CHUO UNIVERSITY, FACULTY OF SCIENCE AND ENGINEERING, PROFESSOR, 理工学部・精密機械工学科, 教授 (10013103)

Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 1999: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1998: ¥2,800,000 (Direct Cost: ¥2,800,000)
KeywordsMACHINE TOOL STRUCTURE / PROPERTY OF JOINT / NONLINEARITY WITH HYSTERESIS / MODEL ANALYSIS / DYNAMIC STIFFNESS / FREQUENCY RESPONSE / EQUATION OF MOTION FOR MULTI-DEGREE-OF-FREEDOM SYSTEM / MACHINING ACCURACY
Research Abstract

Machine tool structure consists of combining elementary ones. Stiffness at the joints where the element structures are joined is made weaker than structure without them, whose property indicate nonlinearity. Bearing and slide still have stiffness which allows relative motion in terms of slight clearance. The stiffness characteristic at the joints obviously shows nonlinearity. These have been analyzed by linearized approach was not demonstrated definite basis, in spite that existence of the nonlinearity has been pointed out. This leads to serious errors in evaluating system parameters. Head investigator and others have proposed approximate modal approach by introducing describing function to the nonlinear characteristic, which express the nonlinearity by a transfer function for the amplitude of sinusoidal input to nonlinear element to that of output for the fundamental harmonic, and this was combined with the nonlinear stiffness in the equation of motion. The method was extended to mult … More i-degree-of-freedom system in terms of nonlinear building block approach utilizing the function at the joints. It has been shown that the characteristics of nonlinear system can be successfully characterized by the approach.
Nonlinear property at the bearing and the slide often appears as that with hysteresis which traces different path in applying and removing force. The describing function for this property is defined by several different descriptions. To obtain the solution for the equation of motion for the multi-degree-of-freedom system is attempted in the investigation. However, expression with respect to phase characteristic could not have been completely accomplished. This leaves that comparison of the analytical results with the characteristics in practical system difficult in detail, in spite that the general characteristics of the system with hysteresis property can be proved. As an example in machine tool structure, nonlinearity in bearing is analyzed and the tendency of region for stable cutting is discussed. It is indicated that the approach can be applied not only to the machine tool structure, but to general machine structure. Less

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] H. Sato: "Standardization Trend"Proc. The Fifth Int. Micromachine Symposium. 47-54 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Sato: "Straightness Measurement in Terms of Sequential Two Points Method"Proc. Asian Machine Tool Engineering Forum '99 (AMEF'99). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 石井和人: "路面形状測定車における逐次2点測定子の方向維持制御系に関する研究"中央大学大学院 精密工学専攻修士論文 講演予稿集1999年版. 101-104 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 佐藤壽芳、井原透、梅田和昇、諸潔、奧野昇、高橋満雄: "マクロ形状精度評価法の高精度化に関する研究"平成11年度新規産業創造型提案公募事業成果報告会予稿集. 404-409 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Sato: "Standardization Trend"Proc. The Fifth Int. Micromachine Symposium. 47-54 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Sato: "Straigthness Measurement in Terms of Sequential Two Points Method"Proc. Asian Machine Tool Engineering Forum '99 (AMEF'99). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K.ISHII, (H. Sato): "Direction Control of Sensors in Sequential Two Points Method Installed on Car for Road Profile Measurement"Proc. Papers of MS Degree, Graduate School, Dept.of Proc. Mech., Chuo Univ.. 101-104 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Sato, T. Ihara, K. Umeda, K. Sho, N. Okuno, M. Takahashi: "Advancement of Evaluation Method for Macro Form Accuracy"Proc. NEDO Grant in Aid. 404-409 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H.Sato: "Standardization Trend"Proc.The Fifth Int. Micromachine Symposium. 47-54 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Sato: "Straightness Measurement in Terms of Sequential Two Points Method"Proc.Asisan Machine Tool Engineering Forum '99 (AMEF'99). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 石井和人: "路面形状測定車に於ける逐次2点測定子の方向維持制御系に関する研究"中央大学大学院 精密工学専攻修士論文 講演予稿集1999年度. 101-104 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 佐藤壽芳、井原透、梅田和昇、諸潔、奥野昇、高橋満雄: "マクロ形状精度評価法の高精度化に関する研究"平成11年度新規産業創造型提案公募事業成果報告予稿集. 404-409 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 入野 成弘: "非線形特性を考慮した機械の防振支持に関する研究" 精密工学専攻修士論文発表会公演論文集. 65-68 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 石川祥司: "逐次二点法による路面形状高速測定系に関する基礎研究" 機械学会、Dynamics & Design Conf.98 講演論文集. 379-382 (1998)

    • Related Report
      1998 Annual Research Report

URL: 

Published: 1998-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi