• Title/Summary/Keyword: Hertz접촉

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Contact Characteristic and Stress Analysis of Wheel-Rail for Rolling Stock (철도차량용 휠과 레일의 접촉특성 및 응력 해석)

  • Sung, Ki-Deug;Yang, Won-Ho;Cho, Myoung-Rae;Kim, Cheol
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.5
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    • pp.148-156
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    • 2000
  • In this paper, we investigate contact characteristic of wheel-rail interface for rolling stock using the finite element method. Contact stress distribution due to the rail mounting slope is obtained in order to reduce the contact stress. Stress analysis of the rail, firstly, is performed one subjected to elliptical pressure based on Hertz theory. Secondly, we perform stress analysis of the rail subjected to contact stress obtained by this study. Results for the maximum shear stress, its location and the principal shear stress distribution are compared.

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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.

Dynamic Analysis of Engine Valve Train with Flexible Multibody Model Considering Contact between Components (부품간의 접촉을 고려한 유연체모델을 이용한 엔진 밸브트레인의 동특성 해석)

  • Hwang, Won-Gul;Sung, Won-Suk;Ahn, Ki-Won
    • Transactions of the Korean Society of Automotive Engineers
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    • v.19 no.1
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    • pp.125-132
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    • 2011
  • The dynamic characteristics of valve train are responsible for the dynamic performances of engine. We derived the equation of motion for 6 degrees of freedom model of the valve train. Computer model is also developed with flexible multibody model considering contact between components. The simulation results with these two models are compared with experimental results. We investigated the effect of the two spring models, TSDA (Translational Spring Damper Actuator) element and flexible body model, on the valve behavior and spring force. It is found that the dynamic behavior of the two models are not very different at normal operational velocity of the engine. By modeling contact between cam and tappet, the stress distributions of the cam were found. Using stress distribution obtained, contact width and contact stresses of the cam surface were calculated with Hertz contact theory.

Influence of Carbon Content on Rolling Contact Fatigue of High Frequency Induction-Hardened Medium Carbon Steels (고주파 유도경화처리한 중탄소강의 회전접촉 피로거동에 미치는 탄소함량의 영향)

  • Choe, Byeong-Yeong;Lee, Dong-Min
    • Korean Journal of Materials Research
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    • v.7 no.9
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    • pp.744-749
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    • 1997
  • 본 연구에서는 고주파 유도경화처리한 중탄소강의 회전접촉 피로거동을 0.44wt.%C강과 0.55wt.%C강을 사용하여 조사하였다. 회전접촉 피로시험은 Polymet RCF-1 시험기에서 탄성유체 윤활 조건으로 회전속도 8,000rpm, 최대 Hertz응력 492kg/m$m^2$을 가하면서 실시하였다. 미세한 lath마르텐사이트가 고주파 유도경화한 0.44wt.%C강과 0.55wt.%C강의 표면경화층에 형성되었고 소량의 페라이트가 일부 형성되었으며 0.44wt.%C강과 0.55wt.%C에 비해 비교적 큰 페라이트가 나타났다. 회전접촉 피로시험 후 표면경도가 거의 유지되는 표면경화층에서 회전접촉 피로시험전에 비해 경도가 상승하였다. 이 경도증가량의 최대치($\Delta$ Hv$_{max}$)와 피로수명과의 관계를 조사한 결과 0.55wt.%C강이 0.44wt.%C강에 비해 회전접촉 피로중에 일어나는 소변형에 대한 높은 저항성에 주로 기인하여 $\Delta$ Hv$_{max}$값은 낮게 나타나고 피로수명은 높게 나타났다.

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Analysis of Particle Packing Process by Contact Model in Discrete Element Method (입자 패킹 공정에 대한 접촉모델별 이산요소법 해석)

  • Lyu, Jaehee;Park, Junyoung
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.18 no.3
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    • pp.59-65
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    • 2019
  • In many industries, particle packing is adopted quite frequently. In the particle packing process, the Discrete Element Method (DEM) can analyze the multi-collision of particles efficiently. Two types of contact models are frequently used for the DEM. One is the linear spring model, which has the fastest calculation time, and the other is the Hertz-Mindlin model, which is the most frequently used contact model employing the DEM. Meanwhile, very tiny particles in the micrometer order are used in modern industries. In the micro length order, surface force is important to decreased particle size. To consider the effect of surface force in this study, we performed a simulation with the Hertz-Mindlin model and added the Johnson-Kendall-Roberts (JKR) theory depicting surface force with surface energy. In addition, three contact models were compared with several parameters. As a result, it was found that the JKR model has larger residual stress than the general contact models because of the pull-off force. We also validated that surface force can influence particle behavior if the particles are small.

Torsional Rigidity of a Two-stage Cycloid Drive (이단 사이클로이드 드라이브의 비틀림 강성)

  • Kim, Kyoung-Hong;Lee, Chun-Se;Ahn, Hyeong-Joon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.11
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    • pp.1217-1224
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    • 2009
  • This paper presents a finite element (FE) analysis of the torsional rigidity of a two-stage cycloid drive. The cycloid disk makes contact with a number of pin-rollers simultaneously and eccentric shafts transmit not only torque of the spur gear stage to the cycloid disk, but also that of the cycloid disk to the output disk. Contacts between the disk and pin-rollers are simplified as linear spring elements, and the bearing of eccentric shaft is modeled as a rigid ring that has frictional contact to the disk and an elastic support. FE analysis for an ideal solid cycloid drive was performed and verified by a theoretical calculation. Accurate contact forces were then estimated by iterating between FE analysis for contact forces and Hertz theory calculations for nonlinear contact stiffness. In addition, torsional rigidity of the cycloid drive is analyzed to show that the bearing and nonlinear Hertz contact theory should be considered in analysis and design of a cycloid drive, which was verified with experiments. Finally, the effects of contact stiffness, bearing stiffness and cycloid disk structural stiffness according to the cycloid disk rotation on the torsional rigidity were investigated.