• 제목/요약/키워드: 최소잇수

검색결과 4건 처리시간 0.017초

인벌류우트-트로코이드 치형을 갖는 타원계 엽형기어의 최소잇수에 관한 연구 (Minimum Tooth Number of Elliptical Gears with Involute-Trocoidal Profile)

  • 최상훈
    • 한국정밀공학회지
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    • 제15권5호
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    • pp.85-92
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    • 1998
  • This present paper describes a mathematical model of profile shifted elliptical gears, and this model is based on the concepts of envelope theory and conjugate geometry between the blank and the straight-sided rack cutter. The geometric model of the rack cutter includes working regions generating involute curves and fillets for trocoidal curves, and furthermore the addendum modified coeff. is considered for avoiding undercutting. The addendum modified coeff. is changed linearly along with pitch curves and must be the same absolute value at both major semi-axis and minor semi-axis. If undercutting is at all pronounced, the undercut tooth not only are weakened in strength, but lose a small portion of the involute adjacent to the base circle, then this loss of involute may cause a serious reduction in the length of contact. A very effective method of avoiding undercutting is to use the so-called profile shifted gearing. Non-undercutting condition is examined with the change of eccentricity and addendum modified coeff. in elliptical gears and then the minimum number of tooth is proposed not to gernerate undercutting phenomenon.

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언더컷을 고려한 전위 타원계엽형기어의 최소잇수에 관한 연구 (A Study on the Minimum Tooth Number of Profile Shifted Elliptical Gears to Avoid Undercutting)

  • 최상훈;이두영
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 춘계학술대회 논문집
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    • pp.572-577
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    • 1997
  • This present paper describes a mathematical model of profile elliptical gears, and this model is based on the concepts of envelop theory and conjugate geometry between the blank and the straight-sided rack cutter. The geometric model of the rack cutter includes working regions generating involute curves andd fillets for trocoidal curves, and furthermore the addendum modified coeff,is considered for avoiding undercutting. The addendum modified coeff, is changed linearly along with pitch curves and must be the must be the same absolute value at both major semi-axis and minor semi-axis. If undercutting is at all pronounced, the undercut tooth not only are weakened in strength, but lose a small portion of the involute adjacent to the base circle, then this loss of involute may ncause a serios reduction in the length of contact. A very effective method of avoiding undercutting is to use the so-called profile shifted gearing. Non-undercutting conditon is examined with the change of eccentricity and addendum modefied coeff. in elliptical gears and then the minimum number of tooth is proposed not to gernerate undercutting phenomenon.

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내치차 절삭시의 치형오차에 관한 연구 (A Study on Tooth Profile Error in Internal Gear Shaping)

  • 박천경;최영석
    • 대한기계학회논문집
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    • 제15권1호
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    • pp.154-162
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    • 1991
  • 본 연구에서는 내치차의 절삭가공에서 발생하는 치형오차를 대상으로 이에 영 향을 미치는 제반 조건 중, 커터의 이론적인 인벌류트 치형으로부터의 편차, 커터와 내치차의 잇수에 의한 간섭, 창성과정(generating process)중 원주방향 이송과 같은 가공조건이 기어의 치형오차에 미치는 영향을 분석하고 이를 최소로 하는 조건을 유도 하여 양질의 내치차 생산에 기여 하고자 한다.

인벌류우트-원호 합성치형의 적정 원호반경에 대한 연구 (A Study on the Adequate Radius of Circular Arc in the Involute-Circular Arc Composite Tooth Profile)

  • 정인승;손지원;윤갑영
    • 대한기계학회논문집
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    • 제11권2호
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    • pp.296-303
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    • 1987
  • 본 논문에서는 동력전달용 기어에 주로 쓰이는 물림률 1.3 이상일 때, 치면접 촉응력과 공칭굽힘응력이 작게되는 풀림각 1˚로 고정하여 잇수 30∼100개 압력각 14˚∼30˚의 범위에서 최소 원호반경식과 치형 조건을 만족하는 최대 원호반경식에 대하여 고찰하였다.