• 제목/요약/키워드: Hertzian 접촉

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Waviness가 존재하며 볼의 원심력과 자이로스코픽 모멘트가 작용하는 볼베어링으로 지지된 5 자유도 회전계의 진동해석 (Vibration Analysis of 5-DOF Rotor System Supported by Two or More Ball Bearings Considering Centrifugal Force and Gyroscopic Moment of Ball)

  • 정성원;장건희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 I
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    • pp.297-303
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    • 2001
  • This research presents an analytical model to characterize the ball bearing vibration due to the waviness in a rigid rotor supported by multi-row ball bearings considering centrifugal force and gyroscopic moment of ball. The effects of centrifugal force and gyroscopic moment are introduced to the kinematic constraints and force equilibrium equations. The waviness of ball and races is modeled by the superposition of sinusoidal function and it is introduced to position vectors of race curvature center to use the Hertzian contact theory in order to calculate the elastic deflection and nonlinear contact force resulting from the waviness while the rotor has translational and angular motion. They can be determined by solving the nonlinear equations of motion with five degrees of freedom by using the Runge-Kutta-Fehlberg algorithm. The accuracy of this research is validated by comparing with the results of the prior researches. It characterizes the vibration frequencies resulting from the various kinds of waviness in rolling elements, the harmonic frequencies resulting from the nonlinear load-deflection characteristics of ball bearing resulting from the waviness interaction.

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Y$_2$O$_3$ 를 첨가한 정방정 지르코니아에서의 접촉손상 및 강도저하 (Contact Damage and Strength Degradation of Yttria doped Tetragonal Zirconia Polycrystal)

  • 정연길;최성철
    • 한국세라믹학회지
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    • 제35권5호
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    • pp.429-436
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    • 1998
  • The mechanical properties and damage mode of {{{{ {Y}_{2 } {O}_{3} }}-doped tetragonal (Y-TZP) can-didated as biomaterials were performed under indentation stress-strain curve critical load for yield and cracking strength degradation and fatigue behavior with Hertzian indentation tests. This material shows the brittle behavior which is confirmed by indentation stress-strain response. The critical load for cracking(Pc) is much higher than that for yields (Py) indicating crack resistance Strength were strongly dependant on contact area and there were no degradation when the indenter size was ${\gamma}$=3.18 mm suggesting that Y-TZP should be highly damage tolerant to the blunt contacts. Multi-cycle contact were found to be innocuous up to {{{{ {10 }^{6 } }} cycles at 500N and {{{{ {10 }^{5 } }} cycles at 1000N in water. On the other hand contacts at {{{{ {10 }^{6 } }} cycles at 1000 N in water did show some signs of incipient degradation. By contrast contacts with Vickers indenter pro-duced substantial strength losses at much lower loads suggesting that the mechanical integrity of this ma-terial would be compromised by inadvertent sharp contacts.

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용융침투법으로 제조한 유리-알루미나 복합체: III. In-vitro 피로거동 (Glass-alumina Composites Prepared by Melt Infi1tration: III. In-vitro Fatigue Behavior)

  • 이득용;이세종;박일석;장주웅;김병수
    • 한국세라믹학회지
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    • 제40권7호
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    • pp.662-666
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    • 2003
  • 인공치관용 알루미나-유리 복합체를 유사 구강분위기인 인공타액 하에서 200-1000 N의 하중 조건으로 $10^{6}$ 횟수까지 헤르찌안 반복하중 피로특성을 조사하였다. 200 N의 하중에서 $10^{6}$까지 반복피로 실험결과, 강도 저하 및 균열 현상은 관찰되지 않았다. 하중이 1000 N으로 증가함에 따라 링 균열에서 방사상 균열로 전이되었을 때 급격한 강도 저하 현상이 발생하였다. 강도 저하 현상은 유사 구강 분위기하에서 반복 하중 접촉 시 발생한 방사상 균열을 통해 침투한 인공타액과 유리상의 화학적 반응으로 더욱 가속화 되었다.

SmartCrown Roll Profile 형상에 따른 Work Roll과 Back-up Roll 접촉경계면의 응력해석 (Stress Analysis at the Contact Boundary between the Work Roll and the Back-up Roll for a SmartCrown Roll Profile Shape)

  • 송승호;김상록;김기원
    • 소성∙가공
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    • 제24권3호
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    • pp.212-217
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    • 2015
  • SmartCrown is a system to control the plate crown by shifting the sine-shaped work rolls in the axial direction. The control range of the plate crown depends on a depth of sine-shaped roll profile because the roll radius varies continuously along the axial direction. When the roll profile is changed to improve the control range, the contact stress between the work roll and the back-up roll also changes. In the current study, the contact stress for various profiles and rolling conditions were analyzed using the finite element method and compared with results from Hertzian contact theory. A submodel method is used to increase the accuracy of the finite element analysis. The analysis results showed that the maximum increase in the contact stress was only 53MPa, so it is anticipated that no back-up roll spalling will occur.

MD 시뮬레이션을 이용한 실린더 형태 나노와이어의 접촉면적에 관한 연구 (Determination of Contact Area of Cylindrical Nanowire using MD Simulation)

  • 김현준
    • Tribology and Lubricants
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    • 제32권1호
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    • pp.9-17
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    • 2016
  • Contact between solid surfaces is one of the most important factors that influence dynamic behavior in micro/nanoscale. Although numerous theories and experimental results on contact behavior have been proposed, a thorough investigation for nanomaterials is still not available owing to technical difficulties. Therefore, molecular dynamics simulation was performed to investigate the contact behavior of nanomaterials, and the application of conventional contact theories to nanoscale was assessed in this work. Particularly, the contact characteristics of cylindrical nanowires were examined via simulation and contact theories. For theoretical analysis, various contact models were utilized and work of adhesion, Hamaker constant and elastic modulus those are required for calculation of the models were obtained from both indentation simulation and tensile simulation. The contact area of the cylindrical nanowire was assessed directly through molecular dynamics simulation and compared with the results obtained from the theories. Determination of the contact area of the nanowires was carried out via simulation by counting each atom, which is within the equilibrium length. The results of the simulation and theoretical calculations were compared, and it was estimated that the discrepancy in the results calculated between the simulation and the theories was less than 10 except in the case of the smallest nanowires. As the result, it was revealed that contact models can be effectively utilized to assess the contact area of nanomaterials.

변위제한조건식과 안정화된 Penalty방법에 의한 차량 주행에 따른 구조물의 동적상호작용 해석기법 (Simulation of Vehicle-Structure Dynamic Interaction by Displacement Constraint Equations and Stabilized Penalty Method)

  • 정근영;이성욱;민경주
    • 대한토목학회논문집
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    • 제26권4D호
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    • pp.671-678
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    • 2006
  • 본 연구에서는 2개의 질량을 갖는 1/4 차량모델을 이용하여 차량-궤도-교량간의 동적상호작용 현상을 표현하기 위해 비선형 헤르츠 접촉스프링(Nonlinear Hertzian Contact Spring)과 비선형 접촉감쇠장치(Nonlinear Contact Damper)를 도입하였다. 또한, 차량에 작용하는 하중은 차량의 중량외에 임의시간단계의 차륜재하위치인 레일답면(즉, 주행로상의 접촉면)에서의 변위가 제한조건식(Constraint Equation)으로 가해졌다. 이 변위제한조건식은 Penalty방법(Penalty Method)에 의해 구현되었으며, 해의 안정화(Stabilization)를 위한 기법과 제한조건오차보정반력(Reaction from Constraint Violation)을 도입하였다. 또한, 차량의 피칭운동을 표현하고, 다양한 차량/열차를 모형화하기 위해서 1/4 차량모델의 차체 및 대차프레임 간을 강체연결 및 핀이 있는 강체연결조건으로 모형화하였다. 시간적분방법으로는 Newmark계열의 시간적분법이 사용되었으며, 해의 정확성 확보를 위해 국지적 오차평가에 근거한 적응적시간간격기법(Adaptive Time-Stepping Scheme)을 도입하였다. 이러한 적응적시간간격기법을 도입하여 동적해석에서 시간간격의 크기를 자동적으로 결정함으로써 동적해석에서의 해의 정확성을 확보하고 시간적분에 소요되는 계산비용을 감소시킬 수 있을 것으로 기대된다.

볼스크류 너트부의 강성 모델링과 불확도 해석 (Modeling and Uncertainty Analysis of Ballscrew Nut Stiffness)

  • 민복기;조뢰;김경호;박천홍;정성종
    • 한국정밀공학회지
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    • 제32권5호
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    • pp.415-422
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    • 2015
  • Ballscrews are important motion transfer and positioning units of industrial machinery and precision machines. Positioning accuracy of the feed drive system depends upon axial stiffness of ballscrew systems. As the nut stiffness depends upon preload and operating conditions, analytical modeling of the stiffness is performed through the contact and body deformation analysis. For accurate contact analysis, the contact angle variation between balls and grooves is incorporated in the developed model. To verify the developed mathematical stiffness model, experiments are conducted on the test-rig. Through the uncertainty analysis according to GUM (Guide to the expression of Uncertainty in Measurement), it is confirmed that the formulated stiffness model has over 85% estimation accuracy. After constructing the ballscrew DB, a quick turnaround system for the nut stiffness estimation has been developed in this research.

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

  • 박경조;배용채
    • 동력기계공학회지
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    • 제16권3호
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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.

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

  • 김상겸;이기성
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 춘계학술발표대회 논문집
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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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캠과 롤러 종동자 기구의 접촉표면 순간온도 해석 (Flash Temperature Analysis on the Contact Surfaces between Cam and Roller-Follower Mechanism)

  • 구영필;김민남;김남식
    • 한국기계가공학회지
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    • 제3권2호
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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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