• Title/Summary/Keyword: Hertzian

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Comparison of Rolling Contact Fatigue Life of Bearing Steel Rollers Lubricated with Traction Oil and Mineral Oil Corresponding to ISO VG32

  • Nakajima, A.;Mawatari, T.
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.10b
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    • pp.291-292
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    • 2002
  • Using a low viscosity synthetic traction oil and a low viscosity mineral oil with nearly equal viscosity grade of ISO VG 32, the effect of kind of oil on the fatigue life of bearing steel rollers was examined. A pair of rollers finished the contact surfaces to a mirror-like condition were driven under rolling with sliding conditions of s = -3.2% and a maximum Hertzian stress in the range of $P_H=2.8GPa{\sim}4.0GPa$ was applied in point contact condition. As a result of experiments, the fatigue life with a mineral oil was longer than that with a traction oil under higher stress conditions above $P_H=3.4GPa$. Based on the numerical calculation results of the thermal EHL which simulates the present experiment, the authors discuss the reason why such a difference in the fatigue life comes out.

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Dynamic Response Analysis of a Flexible Rotor During Impact on Backup Bearings (탄성 로터의 백업베어링 충돌 시 동적 응답 해석)

  • Park, K.J.;Bae, Y.C.
    • Journal of Power System Engineering
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    • v.16 no.3
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    • pp.22-28
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    • 2012
  • Active magnetic bearings(AMBs) present a technology which has many advantages compared to traditional bearing concepts. However, they require backup bearings in order to prevent damages in the event of a system failure. In this study, the dynamics of an AMB supported rotor during impact on backup bearings is studied employing a detailed simulation model. The backup bearings are modeled using an accurate ball bearing model, and the model for a flexible rotor system is described using the finite element approach with the component mode synthesis. Not only the influence of the support stiffness, clearance and friction coefficient on the rotor orbit, but also bearing load are compared for various rotor system parameters. Comparing these results it is shown that the optimum backup bearing system can be applicable for a specific rotor system.

Dynamic Analysis of a High-speed Wheel Moving on an Elastic Beam Having Gap with the Consideration of Hertz Contact (간격이 있는 탄성 보 위를 고속 주행하는 바퀴의 Hertz 접촉을 고려한 동역학적 해석)

  • Lee, Ki-Su;Kim, Seok-Seung
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.3
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    • pp.253-263
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    • 2012
  • With the local Hertz deformation on the contact point, the dynamic contact between a high-speed wheel and an elastic beam having a gap is numerically analyzed by solving the whole equations of motion of the wheel and the beam subjected to the contact condition. For the stability of the time integration the velocity and acceleration constraints as well as the displacement constraint are imposed on the contact point. Especially the acceleration contact condition on the gap is formulated, and it is demonstrated that the contact force variation computed by the velocity contact constraint or by the acceleration contact constraint agrees well with that computed by the displacement contact constraint. The numerical examples show that, when the wheel passes on the gap, the solution is governed by the stiffness of the local Hertzian deformation.

Finite Element Analysis of Hertzian Contact Problem (Hertz 접촉 문제의 유한 요소 해석)

  • Ko, Dong-sun;Kim, Hyung-Jong
    • Journal of Industrial Technology
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    • v.28 no.A
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    • pp.81-88
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    • 2008
  • Generally, Hertz theory is used to analyze the contact problem of two bodies. It is simple derivation of solution in the contact part. And calculation time is short Moreover, it can mean well that many wear occurs relatively. However, material property becomes plastic deformation when large perpendicular pressure acts on a small contact surface product. In this case, Hertz theory is inapplicable. Therefore this thesis carried the finite element analysis in consideration of material elasticitystrain and the shape of the geometric from contact point. And it compared with Hertz theory that change of the contact surface and contact pressure.

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Study on the Film Thickness and Pressure of the Transient Line Contact Elastohydrodynamic Lubrication (비정상 상태의 선접촉 탄성유체윤활 유막두께 및 유막압력 특성연구)

  • Cho, Jae-Cheol;Jang, Si-Youl
    • 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.

Effect of Elastic/Plastic Mismatch on the Contact Crack Initiation in Asymmetric Layered Composite (층상형 비대칭성 복합재료의 탄성/소성 불일치가 접촉 균열의 개시에 미치는 영향)

  • Kim, Sang-Kyum;Lee, Kee-Sung
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2005.04a
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    • pp.195-198
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    • 2005
  • The role of elastic/plastic mismatch on the contact crack initiation is investigated for designing desirable surface-coated asymmetric layered composites. Various layered composites such as $Si_3N_4$ ceramics on $Si_3N_4+BN$ composite, soda-lime glass on various substrates with different elastic modulus for the analysis. Spherical indentation is conducted for producing contact cracks from the surface or interface between the coating and the substrate layer. A finite element analysis of the stress fields in the loaded layer composites enables a direct correlation between the damage patterns and the stress distributions. Implications of these conclusions concerning the design of asymmetric layered composites indicate that the elastic modulus mismatch is one of the important parameter for designing layered composite to prevent the initiation of contact cracks.

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Flash Temperature Analysis on the Contact Surfaces between Cam and Roller-Follower Mechanism (캠과 롤러 종동자 기구의 접촉표면 순간온도 해석)

  • Koo, Young-Pil;Kim, Min-Nam;Kim, Nam-Shik
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.3 no.2
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    • pp.86-94
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    • 2004
  • The flash temperature distribution on the contact surfaces between cam and roller-follower mechanism was analysed numerically. The elasto-hydrodynamic lubrication pressure and film thickness were used to get the accurate analysis results. The temperature distribution was obtained by numerical integration by making use of Carslaw and Jaeger's formulation to the whole contact surfaces. The maximum flash temperature was increased with both the increasing slip ratio of the contact surface and increasing external load Profile of the temperature distribution was affected by the sliding velocity of the surface.

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Discussion on Rolling Contact Fatigue with Wear Amount by X-ray Reflection (마멸량의 대소에 따른 구름접촉 피로의 X선적 해석)

  • 이한영
    • Tribology and Lubricants
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    • v.10 no.2
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    • pp.51-55
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    • 1994
  • Rolling friction test was carried out to investigate the effect of the wear amount on rolling contact fatigue process in lubrication oil. The methods of this process were conducted at two Hertzian contact pressure and three slide ratio in each case by employing normalized and annealed carbon steel. During process of the rolling contact fatigue, the number of rotation until surface damage was occurred, the wear amount of rolling contact surface, and residual stress and half-value breadth using X-ray reflection on rolling contact surface were investigated. The result of this study shows that rolling contact fatigue process was directly influenced by wear trend and was confirmed by change of residual stress and half-value breadth on rolling contact surface.

Experimental Study on Simple Dimensionless Parameter in Higher Pair (점접촉에서 단무차원매개변수에 관한 실험적 연구)

  • 김경모
    • Journal of the Korean Society of Safety
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    • v.9 no.3
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    • pp.34-40
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    • 1994
  • It is important to have exact informations on the real contact mechanism between spheres and rough plates under various normal loads, sphere diameters and combined surface roughnesses. Most previous papers have proposed the questions of the errors which might be incurred when the Hertzian theory is used to calculated the contact deformation and the contact pressure of practical higher pair. So, this study investigates the real contact deformation between a rough sphere and a rough plate by three experimental methods far from any assumptions and theorems. The soot coating method among them is used successfully. Accordingly, this study presents the simple dimensionless parameter to predict such errors to occur in the design of high pair members and to govern the real mechanism of two-body higher pair.

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Low-Velocity Impact Response Analysis of Composite Laminates Considering Higher Order Shear Deformation and Large Deflection (고차전단변형과 대처짐을 고려한 복합적층판의 저속충격거동 해석)

  • 최익현;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.12
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    • pp.2982-2994
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    • 1993
  • Low-velocity impact responses of composite laminates are investigated using the finite element method based on various theories. In two-dimensional nonlinear analysis, a displacement field considering higher order shear deformation and large deflection of the laminate is assumed and a finite element formulation is developed using a C$^{o}$-continuous 9-node plate element. Also, three-dimensional linear analysis based on the infinitesimal strain-displacement assumptions is performed using 8-node brick elements with incompatible modes. A modified Hertzian contact law is incorporated into the finite element program to evaluate the impact force. In the time integration, the Newmark constant acceleration algorithm is used in conjuction with successive iterations within each time step. Numerical results from static analysis as well as the impact response analysis are presented including impact force histories, deflections, strains in the laminate. Impact responses according to two typical low-velocity impact conditions are compared each other.