• Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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• 1994.06a
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• pp.56-64
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• 1994

탄성유체윤활 (elastohydrodynamic lubrication : EHL)이론은 구름 베어링, 기어 및 캠기구 등과 같이 집중 하중을 받는 기계 요소에서의 윤활 현상을 설명하는 이론으로서, 윤활부분에서 금속 접촉이 발생하지 않도록 기계요소를 설계하기 위하여 필요한 최소유막두께를 결정하는 데 사용된다. 그리이스는 대표적인 윤활제로서 구름 베어링의 윤활에 있어서 중요한 위치를 점하고 있다. 현재 집중 하중을 받는 기계 요소의 윤활에는 윤활 구조의 간편화, 보수의 용이성, 먼지나 이물의 침입 방지 등에 유리한 그리이스 윤활의 사용이 확대되고 있다. 현재 전동기, 가정용 전기기기, 측정기 등에 쓰이는 구름 베어링의 경우는 거의 전량 그리이스 윤활이 사용되고 있다. 지금까지의 연구는 유동특성상의 복잡성 때문에 무한장 선접촉 등온 EHL 문제에 대한 해석이었고, 아직까지는 그리이스 윤활 TEHL 해석에 관한 연구는 발표된 바 없다. 본 연구에는 Herschel-Bulkley 모델 그리이스 EHL문제를 열탄성유체윤활해석하여 보다 정확한 접촉부의 압력분포와 유막형상을 예측하고자 한다.

• Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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• 1986.11a
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• pp.47-51
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• 1986

로울러 베어링의 로울러는 길이방향으로 적당하게 Profiling하여 양단부에서 발생하는 응력집중을 줄이고 있다. 로울러와 레이스간의 접촉을 단순한 탄성접촉문제로 해석하는 경우에는 유막의 개념이 없어서 로울러와 레이스 사이의 압력분포와 유막형상을 정확하게 나타내기가 어려우므로 탄성변형과 압력에 따른 윤활유의 점도 변화를 고려한 탄성유체윤활(EHL)해석이 필요하다. 대부분의 해석은 무한장 로울러로 취급하는 것이 보통이며 실제의 로울러에 해당하는 유한한 길이의 선접촉 EHL 해석은 Mostofi & Gohar 및 Kuroda & Arai의 해석 정도이나 각각은 수렴하중이 작거나 로울러의 길이가 아주 짧은 경우에 해당한다. 본 연구에서는 FDM과 Newton-Raphson method를 이용하여 길이가 유한한 실제 크기의 Profiled 로울러에 대한 EHL상태에서의 압력분포와 유막형상을 보다 하중이 온 경우에 대해서 구하고자 한다.

• Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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• 1992.11a
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• pp.57-62
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• 1992

탄성 유체 윤활은 윤활 표면의 탄성변형이 중요하게 다뤄지는 윤활의 형태로, 주로 로울러 베어링이나 기어와 같이 선접촉 집중하중을 받는 기계요소와 관련이 많다고 할 수 있다. 역사적으로 볼때 탄성 유체 윤활은 20 세기에 들어서 윤활 분야에서 획기적인 발전을 해온 것 중의 하나라고 볼 수 있으며, 윤활상태의 폭넓은 해석 뿐만아니라 전에는 고려하지 못했던 큰하중을 받는 기계요소들에 대한 윤활상태를 규명하는데 지대한 역할을 할 수 있음을 시사하고 있다. 한편 오래전 부터 실험적으로 탄성유체윤활을 해석함에 있어서 우선 고전적인 Reynolds 윤활 방정식에 윤활제의 유성특성인 고압하에서의 점성의 압력 의존성이 대단히 큰 피에조 점성효과를 고려하지 않으면 안된다. 나아가 등점도 조건하에서 재료의 탄성 변형을 함께 고려하여 연립 방정식의 형태로 구성해서 피에조 효과에서 발생하는 강한 비선형성을 갖는 대수 방정식의 해를 구하는 방안을 강구해야 한다.

• Tribology and Lubricants
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• v.25 no.5
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• pp.335-341
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• 2009

Elastohydrodynamic lubrication (EHL) analysis shows that film thickness is very flat in the contact area and pressure distribution is somehow similar to that of Hertzian contact pressure except the outlet region with pressure spike. These typical patterns of EHL film thickness and pressure are the cases under the steady contact conditions of applied loads and speeds. However, many engineering contacts are rather under the conditions of varying loads and contact speeds, and therefore the predictions for endurance life and performance of machine elements with steady EHL analysis are not suitable in many occasions. This study shows the differences in film thickness formation and pressure distribution between steady and transient contact conditions in several contact cases.

• Transactions of the Korean Society of Mechanical Engineers
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• v.12 no.2
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• pp.262-270
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• 1988

A numerical solution of the elastohydrodynamic lubrication problem for an axially profiled cylindrical roller is presented. The problem is analyzed using finite difference method and Newton-Raphson method. The effect of side leakage and compressibility of lubricants are considered and axially nonuniform grid is constructed over the computation zone. Isobars, contours and section graphs show pressure variation and film shape. Contours plot is very similar to the previously reported experimental observations based upon optical interferometry. The maximum pressure and the minimum film thickness occur near the start of the profiling. The method used makes it possible to design an optimum axial profile of the roller to increase the life of rolling bearings.

• Tribology and Lubricants
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• v.28 no.4
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• pp.153-159
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• 2012

Tapered roller bearings are widely used in high axial-load and radial-load applications. In this study, a numerical analysis is performed to study a finite line contacts EHL problem between a tapered roller and raceway in tapered roller bearings. Converged solutions are obtained for moderate load and material parameters using a finite difference method with non-uniform grids and the Newton-Raphson method. The contours and sectional plots of pressure distribution and film shape are compared. The pressure distribution and film shapes near both ends of the roller are very different from those in the central part and are transversely asymmetric. The maximum pressure and absolute minimum film thickness always occur at the small end of the roller.

• Tribology and Lubricants
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• v.29 no.6
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• pp.353-359
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• 2013

The rollers and/or races in cylindrical and tapered roller bearings should be profiled to relieve high edge stress concentrations caused by their finite lengths and misalignment. In this study, a numerical analysis was performed to investigate the elastohydrodynamic lubrication (EHL) of a Lundberg profile-type cylindrical roller. A finite difference method with fully nonuniform grids and the Newton-Raphson method were used to present detailed EHL pressure distributions and film shapes, as well as the variations in the minimum and central film thicknesses with the profile modification coefficient. In the Lundberg profile, the maximum pressure and minimum film thickness always occurred near the edges. Proper modification of the Lundberg profile considerably increased the minimum film thickness.

• Tribology and Lubricants
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• v.2 no.2
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• pp.12-19
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• 1986

Using emulsion lubricant whose cooling effect and incombustibility are good and which is economical, I investigated lubricative mechanism and the behavior of scattered particles in the elastic fluid lubrication region with the line contact between rollers and plates and the light interference system. The results of the study are as follows: (1) The flow in the squeeze oil film is considered as comparatively wide clearance and narrow one, and in the former case the effect of the distribution of particles and the velocity on the flow. In the latter case, emulsion particles stay in the clearance an the oil film changes with the decrease of the oil film thickness. (2) In the wide clearance the velocity difference of the flow O/W or W/O emulsion is inverse proportional to the particle size. In the narrow clearance the distribution of the remained drops is different from one another and the scattered particles change more easily in O/W type than in W/O type. (3) At the beginning of the EHL the stagnation region with slow flowing velocity exists and the behavior at the region is different depending on the particle size. (4) By observing the dischromatic light interference line, emulsion oil passing through EHL region and the crack behavior at the beginning of EHL were found.

• Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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• 2001.11a
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• pp.364-373
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• 2001

This paper describes the variation of lubricant's temperature effects on elastohydrodynamic lubrication. The Newton-Raphson technique was used to solve the simultaneous system of Reynolds and elasticity equations. To show effects of lubricant's temperature, average temperature across the oil film was calculated using the energy equation. Pressure distribution, film shape, and temperature distribution were obtained for fully flooded conjunctions, and various dimensionless speed parameters while load and material parameters were held constant. Minimum film thickness were obtained for various material properties while load and velocity were held constant. It is drawn that the thermal effects have a strong influence on a minimum film thickness under high rolling velocity and slip ratio.

• Tribology and Lubricants
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• v.31 no.4
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• pp.177-182
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• 2015

Tapered roller bearings are widely used in equipment where high combined thrust and radial loads are experienced. A certain amount of tilting between the tapered rollers and the races always occurs because of bending moment load conditions and shaft deflection. It is now well understood that a coherent elastohydrodynamic lubrication (EHL) film separates the rollers and races. In spite of extensive study on EHL problems for over half a century, relatively few studies have focused on the finite line contacts problem. This study presents a complete numerical analysis of the effects of roller tilting on the EHL characteristics in a tapered roller bearing. We systematically analyze this highly nonlinear problem using finite differences with fully non-uniform grids and the Newton-Raphson method. Detailed EHL pressure distributions and film shapes are presented under moderate loads and material parameters. A very small roller tilting significantly affects the pressure distributions and film shapes near both ends of the roller. Moreover, the effect of tilting on the EHL characteristics at the small end is much greater than that at the large end. Therefore, in designing optimum profiles for tapered roller bearings, the profile radius should be larger at the small end.