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Study on Residual Stress and Load Bearing Capacity of Induction Hardened Gears

Research Project

Project/Area Number 03650129
Research Category

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

Allocation TypeSingle-year Grants
Research Field 機械要素
Research InstitutionTottori University

Principal Investigator

ODA Satoshi  Faculty of Eng., Tottori Univ., Professor, 工学部, 教授 (50032016)

Co-Investigator(Kenkyū-buntansha) KAWAGOE Haruo  Faculty of Eng., Tottori Univ., Professor, 工学部, 教授 (60032009)
MIYACHIKA Kouitsu  Facuty of Eng., Tottori Univ., Assoc.Prof., 工学部, 助教授 (30157664)
KOIDE Takao  Faculty of Eng., Tottori Univ., Assoc.Prof., 工学部, 助教授 (60127446)
Project Period (FY) 1991 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1993: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1992: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1991: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsGear / Induction Hardening / Residual Stress / Bending Fatigue Strength / Surface Durability / Electromagnetic Field Analysis / Heat Conduction Analysis / Elastic-Plastic Stress Analysis / 歯面強度
Research Abstract

Eddy current distribution and amount of heat originated from induction heating of a circular bar were caculated by means of FEM electromagnetic field analysis method, and the validity of this FEM program was confirmed by comparing the results by the FEM with those by the theoretical equatin. An electromagnetic fied analysis, a heat conduction analysis and an elastic-plastic stress analysis of the shafts during induction heating and water cooling processes with uniform cross-section and with semicircular notch were carried out by the FEM, considering changes of the magnetic ermeability, the resistivity, the thermal expansion coefficient and the yield stress with the temperature. The effects f the electric pwer, the frequency, the heating time, the diameter and the notch on the residual stress of the shaft were examined.
A heat conduction analysis and an elastic-plastic stress analysis in case-hardening process of the thin-rimmed spur gear were carried out by the FEM, considering changes … More of the thermal expansion coefficient and the yield stress with the temperature and the carbon content distribution. The effects of the case depth, the parts (tooth and/or bore) of hardening, the rim thickness and the standard pressure angle on the residual stress of the gear were examined.
The main results obtained from this investigation are summarized as follows.
1. In the induction hardening process of the shaft, the time t_h taken for the surface temperature to reach the hardening teperature decreases with increasing electric power and frequency, and the temperature difference T_s-T_c between the surface and the center of the shaft increases. The time t_h increases with increasing diameter of shaft and the temperature difference T_s-T_c decreases. 2. There is an optimum induction hardening condition (electric power, frequency and heating time) for the residua stress of the ahaft due to induction hardening. 3. The axial residual stress sigma_z near the notch bottom of the shaft with semicircular notch due to induction hardening is fairly small compared with that of the straight part for short heating time, but approaches to sigma_z of the straight part with increasing heating time. 4. Residual stress at Hofer's critical section of the spur gear due to case-hardening decreases with rim thickness and increases with standard pressure angle (20゚(〕SY.ltoreq.〔)alpha_0(〕SY.ltoreq.〔)27゚). There is an optimum case depth for residual stress of the spur gear due t case-hardening. Less

Report

(4 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • 1991 Annual Research Report
  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] 小田 哲: "Residual Stress Calculation of Case-Hardened Thin-Rimmed Spur Gear with Various Standard Pressure Angles" Residual Stresses-III Science and Technology. Vol.2. 1248-1253 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 小田 哲: "高周波焼入れによる軸の残留応力に及ぼす加熱電力と周波数の影響" 日本機械学会講演論文集. 920-78 Vol.E. 360-362 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 小田 哲: "高周波焼入れによる丸棒の残留応力の計算" 日本機械学会論文集(C編). 60-573(未定). (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Oda, Satoshi: "Residual Stress Calculation of Case-Hardened Thin-Rimmed Spur Gear with Various Standard Pressure Angles" Residual Stresses-III Science and Technlogy. Vol.2. 1248-1253 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Oda, Satoshi: "Effects of Electric Power and Frequency on Residual Stresses of Shaft Due to Induction Hardening" Prepr.of Jpn.Soc.Mech.Eng.Vol.920-78(E). 360-362 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Oda, Satoshi: "Calculation of Residual Stress of Circular Bar Due to Induction Hrdening" Trans.Jpn.Soc.Mech.Eng.Vol60 No.573. (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 小田 哲: "Residual Stress Calculation of Case-Hardened Thin-Rimmed Spur Gear with Various Standard Pressure Angles" Residual Stresses-III Science and Technology. Vol.2. 1248-1253 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] 小田 哲: "高周波焼入れによる軸の残留応力に及ぼす加熱電力と周波数の影響" 日本機械学会講演論文集. 920-78Vol.E. 360-362 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] 小田 哲: "高周波焼入れによる丸棒の残留応力の計算" 日本機械学会講文論(C編). (掲載決定).

    • Related Report
      1993 Annual Research Report
  • [Publications] 小田 哲: "高周波焼入れによる丸棒の残留応力の計算" 日本機械学会講演論文集. 925-1. 140-142 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 小田 哲: "高周波焼入れによる軸の残留応力に及ぼす加熱電力と周波数の影響" 日本機械学会講演論文集. 920-78 Vol.E. 360-362 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 小田 哲: "高周波焼入れによる丸棒の残留応力の計算" 日本機械学会講演論文集. 925ー1. 140-142 (1992)

    • Related Report
      1991 Annual Research Report

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Published: 1991-04-01   Modified: 2016-04-21  

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