• Title/Summary/Keyword: Hertz접촉

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Pressure Analysis of Sterntube after Bush Bearing Considering Elastic Deflection of Misaligned Journal and Partial Slope of Bearing Bush (탄성 변형된 저어널의 편심과 베어링 부시의 부분경사를 고려한 선미관 후부 베어링의 압력분포 해석)

  • Choung, Joon-Mo;Choe, Ick-Heung
    • Journal of the Society of Naval Architects of Korea
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    • v.44 no.6
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    • pp.666-674
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    • 2007
  • It is very important to estimate static squeezing pressure distributions for lining material of sterntube after bearing at dry dock stage since the maximum squeezing pressure value can be one of the significant characteristics representing coming navigation performances of the propulsion system. Moderate oil film pressure between lining material and propulsion shaft is also essential for safe ship service. In this paper, Hertz contact theory is explained to derive static squeezing pressure. Reynolds equation simplified from Navier-Stokes equation is centrally differentiated to numerically obtain dynamic oil film pressures. New shaft alignment technology of nonlinear elastic multi-support bearing elements is also used in order to obtain external forces acting on lining material of bearing. For 300K DWT class VLCC with synthetic bush of sterntube after bearing, static squeezing pressures are calculated using derived external forces and Hertz contact theory. Optimum partial slope of the after bush is presented by parametric shaft alignment analyses. Dynamic oil film pressures are comparatively evaluated for partially bored and unbored after bush. Finally it is proved that the partial slope can drastically reduce oil film pressure during engine running.

A Study on Rolling Contact Behaviors of a Flat Rough Surface with a Smooth Ball (구와 평면간의 구름접촉거동에 관한 연구)

  • 김경모;정인성
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.3
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    • pp.554-570
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    • 1990
  • he rolling contact behaviors between a smooth ball and a flat rough surface under dynamic load are intricately affected by many factors, such as the diameter of a ball, normal load and the roughness of a flat surface etc. Accordingly, the experimental study is done to find them on the base of elastic hysteresis loss as theoretical approach is very difficult. The experimental apparatus composed of damped-free vibration system is used. This paper investigates the damping characteristics on the rolling contact area through rolling friction force and logarithmic decrement versus displacement obtained in accordance with the variations of those factors, and presents a new experimental method to find out contact width using the relations of logarithmic decrement and rolling friction force with displacement.

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.

Contact Fatigue Life of Rack-Pinion for Small-Sized Sluice Gate (소형 수문용 랙-피니언의 접촉 피로수명)

  • Kwon, Soon-man
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.26 no.3
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    • pp.299-305
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    • 2017
  • Gate-lifting devices in small- to mid-sized sluice gates mostly employ the mechanical roller rack pinion (RRP) system. This RRP system, which consists of a rack-bar and a pinion, transforms a rotation motion into a linear one. The rack-bar has a series of roller trains that mesh with the pinion. In this study, we adopt an exact involute-trochoid tooth profile of the pinion to obtain a higher contact fatigue strength using the profile modification coefficient. Further, we determine the contact forces and investigate Hertz contact stresses to predict the pitting life of the pinion according to varying the shape design parameters. The results indicate that the design fatigue life of an RRP system for sluice gate can be achieved only when the design value of the profile modification coefficient reaches or exceeds a certain level.

Low-Velocity Impact Analysis and Contact Law on Composite Laminates (복합적층판에 대한 저속충격해석과 접촉법칙)

  • 최익현
    • Composites Research
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    • v.16 no.1
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    • pp.50-57
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    • 2003
  • Usually many researchers have used the modified Hertzian contact law or experimental static indentation law to analyze impact response of composite laminates subjected to the low-velocity impact. In this study, physical meaning of the method using the laws was investigated and the difference between the analytical results obtained using the laws was also investigated. Furthermore parametric study on contact constant and exponent in the contact law was performed. Finally it was shown that a linearized contact law can be well applied to low-velocity impact response analysis of composite laminates. If this concept is used, commercial finite element software can be used to solve impact problem without making any auxiliary code.

Film Thickness and Low Speed Asperity Contacts (潤滑油膜과 저속금속접촉)

  • Moon, Tak-Jin
    • Tribology and Lubricants
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    • v.3 no.1
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    • pp.26-30
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    • 1987
  • The effects of high viscosity polybutene lubricant on the asperity contacts between a flat washer and a ball were tested using three balls/two flat washers rotational apparatus. The asperity contacts were dependent on the ratio of EHD flim thickness (h) and surface roughness($\sigma$). The viscosity-pressure coefficient of lubricant gave a significant effect on the film thickness and thereby on h/$\sigma$ ratio.

Conditions for Assuming Hertzian Stress for the Contact between a Circular Pin and Hole (원형 핀과 구멍의 접촉에서 헤르츠 응력장 가정을 위한 조건)

  • Kim, Hyung-Kyu
    • Tribology and Lubricants
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    • v.31 no.5
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    • pp.189-194
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    • 2015
  • This paper focuses on the conformal contact problem. A typical example of conformal contact is the contact between a pin and hole. In particular, this paper focuses on the condition for assuming a contact stress field to be a Hertzian pressure profile by using well-known classical solutions associated with Hertzian contact. Persson first developed the conformal contact analysis method around half a century ago, but there have been no significant improvements since then. The present research also adopted this method, but developed new solutions from the viewpoint of application to structural design. The analysis began with a comparison between Persson°Øs conformal contact stress and the Hertzian stress fields. The next step was to check the differences in the normalized stress values of both. This study used the tolerance for the difference in the peak stresses of Persson°Øs solution and the Hertz solution to validate the Hertzian assumption. This gave the range for the difference in radii of the pin and hole when the contact force and mechanical properties of the material are specified. The results showed that, at a tolerance of 5%, the Hertzian assumption is valid if half of the contact angle is less than 35°ý. In addition, the Hertzian assumption holds even for a relatively long contact length, in contrast to the general incomplete contact problem. This paper discusses these results along with other aspects of the application to the design.

An Elastohydrodynamic Lubrication of Elliptical Contacts Part I: Direction of Lubricant Entrainment Coincident with the Major Axis of the Hertzian Contact Ellipse (타원접촉의 탄성유체윤활 제1보-윤활유의 유입방향이 Hertz 접촉타원의 장축방향인 경우)

  • 박태조;현준수
    • Tribology and Lubricants
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    • v.14 no.4
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    • pp.58-63
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    • 1998
  • This paper presents a study of the elastohydrodynamic lubrication of elliptical contacts where lubricant entrainment coincides with the major axis of the Hertzian contact ellipse. A finite difference method and the Newton-Raphson method are applied to analyze the problem. Film contours and pressure distributions are compared with the results for lubricant entrainment coincides with the minor axis. Variations of the minimum and central film thicknesses with the radius ratio are also examined. The results showed that the present numerical scheme can be used generally in the analysis of the EHL of elliptical contacts where the lubricant entraining vector did not coincide with either of the principal axis of the conjunction.

Contact Stress Analysis of a Pair of Mating Spur Gears (스퍼기어의 접촉응력 해석)

  • Lee, Jin-Hwan;Lee, Dong-Hyong;Lee, Kwon-Hee
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.4
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    • pp.59-65
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    • 2010
  • This paper presents the study on the contact stress analysis of a pair of mating spur gears during rotation. Contact stress analysis is performed between two spur gear teeth at different contact positions during rotation. An example is presented to investigate the variation of contact stress on a pair of mating gears with contact positions. The variation of contact stress during rotation is compared with the contact stress at lowest point of single tooth contact(LPSTC) and AGMA Equation for contact stress. The results show that contact stress varies along the contact position and gets maximum values in the beginning and end of the contact. In this study, the gear design considering the contact stress on a pair of mating gears is more severe than that of AGMA standard.

Dynamic Wheel/Rail Contact Force due to Rail Irregularities (레일의 상하방향 불규칙성에 의한 차륜과 레일의 동 접촉력)

  • 이현엽
    • Journal of KSNVE
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    • v.8 no.4
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    • pp.616-622
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    • 1998
  • An analytical method has been developed to estimate the dynamic contact force between wheel and rail when trains are running on rail with vertical irregularities. In this method, the effect of Hertzian deformation at the contact point is considered as a linearized spring and the wheel is considered as an sprung mass. The rail is modelled as a discretely-supported Timoshenko beam, and the periodic structure theory was adopted to obtain the driving-point receptance. As an example, the dynamic contact force for a typical wheel/rail system was analysed by the method developed in this research and the dynamic characteristics of the system was also discussed. It is revealed that discretely-supported Timoshenko beam model should be used instead of the previously used continuously-supported model or discretelysupported Euler beam model, for the frequency range above several hundred hertz.

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