• Title/Summary/Keyword: Elliptical Contact

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Simulation for Contact Angle of Droplet on Riblet Surface

  • Kim, Tae Wan
    • Tribology and Lubricants
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    • v.33 no.5
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    • pp.202-206
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    • 2017
  • In this study, the hydrophobicity properties for riblet surfaces that replicate shark skin are simulated. Riblet surfaces with surface roughness on riblets are generated numerically based on the measured data of real shark skin. We assumed that a rib on a scale is hemi-elliptical surface. The surface used in the simulation for the calculation of contact angle is composed of 9 scales like checkerboard type with a roughness. The contact angle of a water droplet can be calculated using the Wenzel equation and Cassie-Baxter equation for the generated riblet surfaces. The variation of contact angles with a fractional depth of penetration for the generated shark skin surfaces without and with coatings is demonstrated in the condition of solid-air-water. The results show that the contact angle for the surface without coating decreases with an increase of the fractional depth of penetration more drastically than that for the surface with coating. We compared the experimental and simulated results. It is shown that the measured contact angles of the shark skin template and the shark skin replica are within the simulated results. Therefore the contact angle of water droplet for rough surfaces can be estimated by the developed numerical method in this study.

Mathematical Expression of the Toric Cornea using Corneal Topography Measurements (각막지형도(topography) 각막곡률로부터 토릭 각막형상의 수식화)

  • Kim, Dae Soo
    • Journal of Korean Ophthalmic Optics Society
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    • v.16 no.4
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    • pp.439-444
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    • 2011
  • Purpose: To represent the shape of toric corea in the elliptical function for the determination of curvature distribution and lacrimal thickness between cornea and contact lens when the lens is fitted. Methods: Topography measurements of corneal curvature and curvature equation derived from the assumed elliptical function were evaluated using the Excel program which included the necessary equation derived. Results: Mathematical expressions for the cornea whose ribbon shaped-topography image, in which the center does not coincide with the corneal apex, can be determined. Conclusions: For the application where the higher accuracy on the cornea is not required, such as higher order aberration, the cornea cal be expressed in the simple elliptical function.

A Method to Predict Wear Depth Using Inversely Calculated Wear Constants from Known Wear Depth and Time (측정된 마모 깊이와 시간에 의해 역으로 계산된 마모상수를 이용한 마모 깊이 예측)

  • Lee, Yong-Son;Kim, Tae-Soon;Park, Chi-Yong;Boo, Myung-Hwan;Lee, Chang-Sub
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.178-188
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    • 2003
  • The wear of steam generator tubes is due to the vibration occurred between tubes and tube supporters. To predict the future wear depth, the wear constants of the impact and the sliding model is used. The wear constants, 3C/2 and K/3H, are found inversely from known wear depth and time. Using these constants, the future wear depths are found from two bodies that deform the elliptical shape. The results are compared with the measured wear depth of steam generator tubes in a nuclear power plant. The results show that the predicted wear depth envelopes the measured wear depth.

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Driving Characteristics of the Cross Type Ultrasonic Rotary Motor Dependent on Shape of the Stator (스테이터의 형태에 따른 Cross형 초음파 회전모터의 구동특성)

  • Chong, Hyon-Ho;Park, Tae-Gone
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.54 no.10
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    • pp.433-437
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    • 2005
  • This paper studied Rotary type ultrasonic motor which has cross type stator. The stator consists of hollowed cross type metal which has four piezoelectric ceramics on the ends of cross bars. When two harmonic voltages which have 90$^{\circ}$ phase difference given to ceramics, the elliptical motion was generated in the inside tips. Inside tips are contact with rotor and these elliptical motions are rotate the rotor The finite element analysis was used to optimize the dimension and displacement of the stator. And the analyzed results were compared with the experimental results of the motor. As results, the speed and the torque of motor was increased by increasing width of the cross bar. And the speed and torque o( motor was not influenced to length of cross bar. The speed and torque was linearly increased by increasing voltage. The maximum torque was generated when the motor fabricated length of cross bar and width of ceramics in the ratio of 1:2.

Wettability Simulation of Oil Droplet on Riblet Surface (리블렛 표면에서 유적의 젖음성에 대한 수치 해석)

  • Kim, TaeWan
    • Tribology and Lubricants
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    • v.35 no.2
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    • pp.94-98
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    • 2019
  • The riblet structure like shark skin has been widely studied owing to its drag reduction and anti-fouling properties. In this study we simulated the wettability of an oil droplet on a riblet surface. We developed a numerical analysis method using the Wenzel equation and Cassie-Baxter equation that can estimate the contact angle with a penetrated depth of the droplet on rough surfaces. Riblet surfaces with nine scales composed of five hemi-elliptical ribs are generated numerically. The variation of contact angles with fractional depth of penetration for the generated riblet surfaces with and without coatings is demonstrated in the condition of solid-air-oil and solid-water-oil interfaces. The contact angle for the uncoated surface decreases with increasing fractional depth of penetration more drastically than that for the coated surface. For the effect of surface roughness on the contact angle of the droplet, the oleophilic surface gives lower contact angle when the surface is rougher, whereas the oleoophobic surface gives higher contact angle with higher roughness To verify the analysis results, the wetting angle was measured in the solid-air-oil interface and solid-water-oil interface for the shark-skin template and shark-skin replica. The effects of teflon coating were also evaluated. It is shown that the simulation results cover the experimental ones.

Measurement of Film Thickness by Fringe Intensity Analysis in Point Contact Elastohydrodynamic Lubrication (점접촉 탄성 유체 윤활에서의 띠 무의 강도에 의한 유막 두께 측정)

  • 장시열;최언진
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1999.11a
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    • pp.103-113
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    • 1999
  • Point contact film thickness in elastohydrodynamic lubrication (EHL) is analyzed by the image processing method for the monochromatic incident light. Interference between the reflected lights both on Cr coating of glass disk and on super finished ball makes circular fringes, which are regarded as film thickness together with numbering of fringe order. In this study, we developed technology to measure the film thickness by analyzing dark and bright intensity waves which results from monochrome green light. Two typical fringe patterns only with intensity values 3re examined for the measurement of point contact EHL film thickness. We expect that this technology will give valuable clue to improve color image processing analysis for high resolution of EHL film thickness with white incident light.

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Pits Role in Embolism Repair of Populus tomentiglandulosa T. Lee

  • Chun, Su-Kyoung;Ahmed, Sheikh Ali
    • Journal of the Korea Furniture Society
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    • v.18 no.2
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    • pp.147-151
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    • 2007
  • This report explains the intervessel pit dimension of Populus tomentiglandulosa and its role in embolism repair according to proposed mechanism by Zwieniecki and Holbrook, 2000. It was found that mean contact angle ( ) of water droplets on the inner surface of vessels was $56^{\circ}$. Openings into the bordered pits were typically elliptical. The angle of the bordered pit chamber ($2{\alpha}$) was found $142.17^{\circ}$. From the capillary equation $Pmax\;=\;Gcos\;(\;+{\alpha})$, it was found that mathematically the maximum pressure 0.08MPa created by pits, can be employed to force the air within the embolized vessel into solution.

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Analysis of Ultrasonic Linear Motor Using the Finite Element Method and Equivalent Circuit

  • Park, Jong-Seok;Joo, Hyun-Woo;Lee, Chang-Hwan;Jung, Hyun-Kyo
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.3B no.4
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    • pp.159-164
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    • 2003
  • In this paper, a three-dimensional finite element method and construction of equivalent-circuit for a linear ultrasonic motor are presented. The validity of three-dimensional finite element routine in this paper is experimentally confirmed by analyzing impedance of a piezoelectric transducer. Using this confirmed finite element routine, impedance and vibration mode of a linear ultrasonic motor are calculated. Elliptical motion of contact point between vibrator and rail of the linear ultrasonic motor is shown for determination of contact points. By using the finite element method and analytic equations, characteristics of the linear ultrasonic motor, such as thrust force, speed, losses, powers and efficiency, are calculated. The results are confirmed by experiment. Finally, equivalent circuit parameters of the linear ultrasonic motor are obtained using the three-dimensional finite element method and analytic equations.

Characterization of Contact Surface Damage in a Press-fitted Shaft below the Fretting Fatigue Limit (피로한도 이하에서 발생하는 압입축의 접촉손상 특성)

  • Lee, Dong-Hyong;Kwon, Seok-Jin;Ham, Young-Sam;You, Won-Hee
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.8
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    • pp.42-47
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    • 2010
  • In this paper, the characteristics of contact surface damage due to fretting in a press-fitted shaft below the fretting fatigue limit are proposed by experimental methods. A series of fatigue tests and interrupted fatigue tests of small scale press-fitted specimen were carried out by using rotating bending fatigue test machine. Macroscopic and microscopic characteristics were examined using scanning electron microscope (SEM), optical microscope or profilometer. It is found that fretting fatigue cracks were initiated even under the fretting fatigue limit on the press-fitted shafts by fretting damage. The fatigue cracks of press-fitted shafts were initiated from the edge of contact surface and propagated inward in a semi-elliptical shape. Furthermore, the fretting wear rates at the contact edge are increased rapidly at the initial stage of total fatigue life. After steep increasing, the increase of wear rate is nearly constant under the load condition below the fretting fatigue limit. It is thus suggested that the fretting wear must be considered on the fatigue life evaluation because the fatigue crack nucleation and propagation process is strongly related to the evolution of surface profile by fretting wear in the press-fitted structures.

Experimental Drawbead Dies for Measuring Drawbead Forces (드로우비드력 측정용 실험금형)

  • Moon, S.J.;Lee, M.G.;Keum, Y.T.
    • Transactions of Materials Processing
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    • v.17 no.7
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    • pp.511-516
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    • 2008
  • A drawbead die for the experimental determination of drawbead forces was newly introduced in this paper. While the conventional Nine's drawbead die inevitably includes effects of a blank holding force on the measured drawbead forces, the new drawbead die excludes it by removing the blank holder contact in the dieface. Therefore, the new drawbead die can provide more realistic drawbead forces without considering somewhat arbitrary effect of blank holder with the computational procedure of forming process. The drawbead opening force and restraining force obtained by adopting the two experimental dies were compared for the validation of accuracy in the FEM simulation of automotive fender forming process. The compared section strains and draw-ins confirmed that the present drawbead die provides better drawbead forces for an accurate FEM simulation of sheet metal forming process.