• Title/Summary/Keyword: 이뿌리응력

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Strength Design of Thin-Rimmed Internal Gear -Formulation of Stress Calculation- (박육 림 내접치차의 강도설계 -응력계산식 작성-)

  • 정태형
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.4
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    • pp.478-486
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    • 1985
  • 본 논문에서는 이러한 점에 대처하고 얇은 림 내접치차의 이뿌리응력을 해석, 이 결과를 종합하여 얇은 림 내접치차의 이뿌리응력을 간편하게 계산할 수 있는 근사 계산식을 작성한다. 또 스트레인게이지에 의한 이뿌리응력의 실측치와 이계산식에 의한 계산응력치를 비교검토하여 이 계산식의 계산정밀도 및 신뢰성을 검토하기로 한 다.

A Root Fillet Stress Calculation Method for Thin-Rimmed spur Gears (얇은 림 평치차의 이뿌리 응력 계산법)

  • Chong, Tae-Hyong;Choi, Jae-Hoon
    • Journal of the Korean Society for Precision Engineering
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    • v.8 no.2
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    • pp.89-105
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    • 1991
  • A method to apply the approximation formulae[1] for tooth fillet and root stresses of a thin-rimmed rack to the calculation of stress state of thin-rimmed external and internal spur gears is introduced. The stress values by the method proposed in this paper have shown good agreement with those by the REM analysis and also by the stress measurement of strain survey investigation. By this method, reliable stress state at tooth fillet and root areas in the thin-rimmed external and internal spur gears can be easily calculated, and a practical design method for the bending strength of such thin-rimmed gears is established.

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A Study on the Root Fillet Stress Analysis of Helical Gear due to Helix Angle and Face Width (헬리컬기어에서 나선각과 치폭의 변화에 따른 이뿌리응력에 관한 연구)

  • Han, An-Su;Hong, Min-Sung;Cho, Jin
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.16 no.4
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    • pp.45-50
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    • 2007
  • In this paper, the FEM(Finite Element Method) has been applied to understand the geometrical characteristics and to analyze the stress of a helical gear. The helical gear is simulated and analyzed by adding many thin spur gear with helix angles and twist angles. Helical gears with different helix angle and face width have been studied. The results show that the root fillet stress is increased proportionally to helix angle and face width. Namely, as the face width increases, root fillet stress decreases, and as helix angle gets bigger, root fillet stress increases.

A Stress Analysis on the Involute-Circular Arc Composite Tooth Profile Gear (인벌류우트-圓弧 合成齒形기어의 應力解析)

  • 탁계래;최상훈;윤갑영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.2
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    • pp.198-204
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    • 1987
  • In a new involute-circular arc tooth profile which is composed of an involute curve in the vicinity of pitch point, a circular arc in the addendum part, and a curve in the dedendum part which is generated by the circular arc profile of mating gear tooth profile, the tooth contact stress is calculated analytically and the root fillet stress is calculated by the finite element analysis. The root fillet stress and the Hertzian contact stress of composite tooth profile gear are decreased with increasing the pressure angle and with decreasing the radius of circular arc and unwound angle. Compared with the standard involute gear, the root fillet stress is decreased by 2-15% and the Hertizian contact stress is decreased by 6-24%.

A Study on the Bending Strength of Internal Gear-With investigation of Stress State around Pitch Point- (내접치차의 굽힘강도에 관한 연구-피지점 부근의 응력상태 파악을 포함하여-)

  • 정태형;변준형;이청신
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.5
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    • pp.1126-1133
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    • 1994
  • When designing an internal gear. the bending strength around pitch point as well as that at tooth root fillet should be considered because the bending stress around pitch point may occur as high as that at tooth root fillet. In this study, including stress state around pitch point, the bending strength (tensile side and compressive side) of internal gear tooth is investigated by the use of the finite element method(FEM) with regarding many influencing factors of cutter and gear geometries. Then, the critical sections around pitch point and at tooth root fillet are determined, and the simple formulae based on nominal stresses(bending, compressive, and shear) are derived for the calculations of actual stresses as the functions of tooth thicknesses and radii of curvatures of involute and fillet curve at those critical sections. The stresses calculated by the formulae agree well with those by the FEM. And the bending stresses around pitch point and at tooth root are easily estimated by the use of those formulae, therefore, those formulae are useful for the purpose of the design or the bending strength estimation of internal gear.

Analysis of Spiral Bevel Gear by Inverse Problem (역문제에 의한 스파이얼 베벨기어의 해석)

  • 박성완
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.5
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    • pp.85-95
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    • 2001
  • This study proposed a technique for inverse problem, linear approximation of contact position and loading in single and double meshing of spiral bevel gear , using 2-dimension model considered near the tooth by root stress. Determine root stress is carried out far the gear tooth by finite element method and boundary element method. Boundary element discretization near contact point is carefully performed to keep high computational accuracy. And from those estimated results, the comparing estimate value with boundary element method value was discussed.

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Analysis of Torque on Spur Gear by Inverse Problem (역문제에 의한 평치차의 토크 해석)

  • 박성완
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.5
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    • pp.24-33
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    • 2003
  • This study proposed a technique for inverse problem, linear approximation of contact position and loading in single and double meshing of transmission contact element using 2-dimension model considered near the tooth by root stress. Determination of root stress is carried out far the gear tooth by finite element method and boundary element method. Boundary element discretization near contact point is carefully performed to keep high computational accuracy. The predicted results of boundary element method are good accordance with that of finite element method.

A Strength Analysis of Rack and Pinion of Steering Gear Assay using a Commercial Finite Element Program (상용 유한 요소 프로그램을 이용한 차량 조향 장치의 랙과 피니언의 강도 해석)

  • Sung, Kee-Woong;Lim, Jang-Keum
    • Transactions of the Korean Society of Automotive Engineers
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    • v.16 no.6
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    • pp.97-103
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    • 2008
  • In general, the strength of gears is calculated using the formula of AGMA or JGMA. But these formula can not be applied directly to the strength calculation of the rack and pinion of steering gear assay, because of complex tooth and contact shapes. So Lewis bending stress and Hertzian contact stress formula are generally used for the design of rack and pinion of steering gear assay. But these formula do not also give the exact stress of rack and pinion. In this paper, comparing the finite element analysis results and the experimentally measured values, it is shown that the finite element modeling technique of the rack and pinion of steering assay is reasonable.

A Study on Optimization of Tooth Micro-geometry for Wind Turbine High Speed Stage Helical Gear Pair (풍력터빈용 고속단 헬리컬 기어의 치형 최적화에 관한 연구)

  • Cho, Sungmin;Lee, Do-Young;Kim, Laesung;Cho, Sangpil;Lyu, Sung-Ki
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.13 no.5
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    • pp.15-20
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    • 2014
  • The wind industry grew in the first decade of the 21st century at rates consistently above 20% a year. For wind turbine, gearbox failure can be extremely costly in terms of repair costs, replacement parts, and in lost power production due to downtime. In this paper, gear tooth micro-modification for the high speed stage was used to compensate for the deformation of the teeth due to load and to ensure a proper meshing to achieve an optimized tooth contact pattern. The gearbox was firstly modeled in a software, and then the various combined tooth modification were presented, and the prediction of transmission under the loaded torque for the helical gear pair was investigated, the normal load distribution and root stress were also obtained and compared before and after tooth modification under one torque. The simulation results showed that the transmission error and normal load distribution under the load can be minimized by the appropriate tooth modification. It is a good approach where the simulated result is used to improve the design before the prototype is available for the test.