• Title/Summary/Keyword: Hertzian contact

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Coupled Vibration of Moving Mass-Elastically Supported Beam Considering the Contact Stiffness (An Ananlytical Model of the Contact Force Fluctuation between Wheel and Rail) (이동질량-탄성지지무한보의 연성진동해석 (차륜.레일간의 접촉력 변동의 해석모델))

  • ;曄道 佳明;須田 義大;大野 進一
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.10a
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    • pp.197-200
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    • 1995
  • Corrugation of railway track can be caused by the various dynamic behavior of travelling wheels and track. In this paper, the coupled vibrations of travelling wheel and railway track are analyzed as the cause of corrugations. To analyze the coupled vibrations, the track supported by the sleepers and the traveling wheel are identified to the elastically supported infinite beam and the spring-mass system which runs at constant speed. The Hertzian contact spring is considered betwen the infinite beam and spring-mass system. The dynamic responses of elastically supported infinite beam and spring-mass system are calculated. The cause and development of rail corrugation are discussed in the view point of contact force fluctuation affected by the elastic supports and the corrugated surface profile of the track. By the obtained results, the possibilities of resonance are checked between the excitation by the corrugated surface profile and the natural frequency of contact spring-moving mass system. It may be thought to a development of railway corrugation.

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

  • Song, S.H.;Kim, S.R.;Kim, K.W.
    • Transactions of Materials Processing
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    • v.24 no.3
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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.

Mathematical Modeling of Friction Force in LM Ball Guides (LM 볼가이드 마찰력의 수학적 모델링)

  • Oh, Kwang-Je;Khim, Gyungho;Park, Chun-Hong;Chung, Sung-Chong
    • Journal of the Korean Society for Precision Engineering
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    • v.32 no.5
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    • pp.423-429
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    • 2015
  • Linear motion (LM) ball guides have good accuracy and high efficiency. They are widely applied for precision machinery such as machine tools, semiconductor fabrication machines and robots. However, friction force incurs heat between the balls and grooves. Thermal expansion due to the heat deteriorates stiffness and accuracy of the LM ball guides. For accurate estimation of stiffness and accuracy during the linear motion, friction models of LM ball guides are required. To formulate accurate frictional models of LM ball guides according to load and preload conditions, rolling and viscous frictional analyses have been performed in this paper. Contact loads between balls and grooves are derived from Hertzian contact analysis. Contact angle variation is incorporated for the precision modeling. Viscous friction model is formulated from the shear stress of lubricant and the contact area between balls and grooves. Experiments confirm validity of the developed friction model for various external load and feedrate conditions.

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.

Develpment of Textile-based Organic Solar Cell

  • Lee, Seung-U;Kim, Yeong-Min;Jeon, Ji-Hun;Lee, Yeong-Hun;Divij, Bhatia;Choe, Deok-Hyeon
    • Proceedings of the Korean Vacuum Society Conference
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    • 2014.02a
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    • pp.460-460
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    • 2014
  • Organic photovoltaic cells (OPV) have been extensively studied due to their unique properties such as flexibility, light-weight, easy processability, cost-effectiveness, and being environmental friendly. These advantages make them an attractive candidate for application in various novel fields and promising development with new features. Photovoltaic cell-integrated textiles have greatly attractive features as a power source for the smart textile solutions, and OPV is most ideal form factor due to advantage of flexibility. In this study, we develop a textile-based OPV through various experimental methods and we suggest the direction for the design of the photovoltaic textile. We used a textile electrode and tried to various layouts for textile-based OPV. Finally, we determined the contact area by using Hertzian theory for the calculation of power conversion efficiency (PCE). Based on the results of calculation, the short circuit current density, Isc, was $13.11mA/cm^2$ under AM 1.5condition and the PCE was around 2.5%.

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Analysis of low-velocity impact on composite sandwich panels using an assumed strain solid element (가정변형률 솔리드 요소를 이용한 복합재 샌드위치 평판의 저속충격 해석)

  • Park, Jung;Park, Hoon-Cheol;Yoon, Kwang-Joon;Goo, Nam-Seo;Lee, Jae-Hwa
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.7
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    • pp.44-50
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    • 2002
  • Low-velocity impact on composite sandwich panel has been investigated. Contact force is computed from a proposed modified Hertzian contact law. The Hertzian contact law is constructed by adjusting numerical value of the exponent and reducing the through-the- thickness elastic constant of honeycomb core. The equivalent transverse elastic constant is calculated from the rule of mixture. Nonlinear equation to calculate the contact force is solved by the Newton-Raphson method and time integration is done by the Newmark-beta method. A finite element program for the low-velocity impact analysis is coded by implementing these techniques and an 18-node assumed strain solid element. Behaviors of composite sandwich panels subjected to low-velocity impact are analyzed for various cases with different geometry and lay-ups. It has been found that the present code with the proposed contact law can predict measured contact forces and contact times for most cases within reasonable error bounds.

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.