• 대한기계학회논문집A
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• 제33권12호
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• pp.1357-1365
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• 2009

In this study, we enhance the numerical approach of Lee et al.$^{(1)}$ to spherical indentation technique for property evaluation of hyper-elastic rubber. We first determine the friction coefficient between rubber and indenter in a practical viewpoint. We perform finite element numerical simulations for deeper indentation depth. An optimal data acquisition spot is selected, which features sufficiently large strain energy density and negligible frictional effect. We then improve two normalized functions mapping an indentation load vs. deflection curve into a strain energy density vs. first invariant curve, the latter of which in turn gives the Yeoh-model constants. The enhanced spherical indentation approach produces the rubber material properties with an average error of less than 3%.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2004년도 춘계학술대회
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• pp.132-137
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• 2004

In this work, effects of hyper-elastic rubber material properties on the indentation load-deflection curve and subindenter deformation are first examined via [mite element (FE) analyses. An optimal data acquisition spot is selected, which features maximum strain energy density and negligible frictional effect. We then contrive two normalized functions. which map an indentation load vs. deflection curve into a strain energy density vs. first invariant curve. From the strain energy density vs. first invariant curve, we can extract the rubber material properties. This new spherical indentation approach produces the rubber material properties in a manner more effective than the common uniaxial tensile/compression tests. The indentation approach successfully measures the rubber material properties and the corresponding nominal stress.strain curve with an average error less than 3%.

• 대한기계학회논문집A
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• 제38권9호
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• pp.943-951
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• 2014

마이크로/나노 압입시험에 사용되는 각뿔 혹은 원뿔형 압입자의 선단 형상은 제작한계 및 사용 중 마모 등으로 인해 필수적으로 곡면 형태를 띄게 된다. 많은 압입시험 관련 연구에서 각뿔형 압입자의 선단 형상은 편의상 구형으로 가정한 후, 얕은 압입에 대한 구형압입 이론식을 적용하고 있다. 이러한 가정에는 근본적으로 두 가지 문제점이 있는데, 첫 번째로 이론해의 정확성은 재료 물성치 및 압입자 형상에 따라 변화한다는 점이며, 두 번째로 각뿔형 압입자의 실제 선단 형상은 이상적인 구형이 아니라는 점이다. 본 연구에서는 유한요소해석에 기반하여 압입시험에 미치는 이 두 요소의 영향을 분석한다. 먼저 탄성 구형 압입시험에 대해 푸아송비와 하중-변위 곡선의 상관관계를 살펴보고, 이를 기반으로 수정된 구형 탄성 압입 관계식을 제시한다. 이어 가정된 Berkovich 선단 형상의 3차원 유한요소해석으로부터 압입깊이에 따른 하중-변위 곡선의 특성을 분석한다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2009년도 제40회 하계학술대회
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• pp.706_707
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• 2009

This paper presents the torque calculation method of a permanent magnet spherical motor. To calculate the torque of the spherical motor by using finite element method (FEM), 3-dimensional FEM must be used. However since it spends too much time and memory in using 3-D FEM, the easier torque calculation method was presented. In this method, it is very important to get the approximation function of the torque profile curve; the authors present the approximation method of the torque profile curve. This paper shows the torque calculation result coming closer to the torque by 3-D FEM.

• 한국정밀공학회지
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• 제12권5호
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• pp.46-56
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• 1995

As demands on the precision bevel gears are increased in the related industry, the exact kinematical investigations of a pair of spherical involute bevel gears are required for the computer aided design. The exact angular velocity ratio based on the characteristics of the spherical involute tooth is derived and verified from the relationship between rotational angles. Elementary kinematics of the gearsets is investigated by applying the transformation of the coordinate systems. The tooth contact lines based on logarithmic tooth-wise curve are examines in three dimentional space. Contact ratio is formulated and simulated according to the system parameters such as shaft angles, pressure angle, and spiral angles. The condition of teeth interference is dervied and the critical numbers of gear teeth are calculated. The whole surface geometry of a spiral bevel gearsets are discretized and visualized by a computer graphic tool.

• 대한수학회보
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• 제52권4호
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• pp.1339-1351
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• 2015

In this paper, using pseudo-spherical Frenet frame of pseudo-spherical curves in hyperbolic space, we define the notion of the structure functions on the non-developable ruled surfaces with timelike ruling. Then we obtain the properties of the structure functions and a complete classification of the non-developable ruled surfaces with timelike ruling in Minkowski 3-space by the theories of the structure functions.

• 한국정밀공학회지
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• 제19권10호
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• pp.195-201
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• 2002

This paper deals with the precision grinding for aspherical surface of optical parts. A parallel grinding method using the spherical wheel was suggested as a new grinding method. In this method, the wheel axis is positioned at a $\pi$/4 from the Z-axis in the direction of the X-axis. An advantage of this grinding method is that the wheel used in grinding achieves its maximum area, reducing wheel wear and improving the accuracy of the ground mirror surface. In addition, a truing by the CG (curve generating) method was proposed. After truing, the shape of spherical wheel transcribed on the carbon is measured by the Form-Talysurf-120L. The error of the form in the spherical wheel which is the value ${\Delta}x$ and $R{^2}{_y}$ inferred from the measured profile data is compensated by the re-truing. Finally, in the aspherical grinding experiment, the WC of the molding die was examined by the parallel grinding method using the resin bonded diamond wheel with a grain size of ＃3000. A form accuracy of 0.16${\mu}m$ P-V and a surface roughness of 0.0067${\mu}m$ Ra have been resulted.

• Applied Microscopy
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• 제37권2호
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• pp.111-121
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• 2007

Diffractogram 법을 이용하여 한국기초과학지원연구원에 설치된 초고전압 투과전자현미경(KBSI-HVEM)의 대물렌즈에 대한 구면수차 계수와 분해능을 측정하였다. 측정 정밀도 향상을 위해 획득한 diffractoram을 디지털 처리하였고 각 intensity 분포 그래프를 graphical curve fitting으로 정밀하게 분리하였다. 정밀 측정을 위한 실험적 고려 사항들을 고찰하였고 최적 실험 조건 도출을 위한 방안들을 본 실험을 통해 제안하였다. 실험적으로 측정된 대물렌즈의 구면수차 계수는 $2.628{\pm}0.04\;mm$였으며 이 값은 제조사에서 대물렌즈 설계 시 제안한 $C_s=2.61\;mm$와 거의 일치하는 값이었다.

• 대한기계학회논문집A
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• 제28권6호
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• pp.816-825
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• 2004

In this work, effects of hyper-elastic rubber material properties on the indentation load-deflection curve and subindenter deformation are examined via finite element (FE) analyses. An optimal location for data analysis is selected, which features maximum strain energy density and negligible frictional effect. We then contrive two normalized functions, which map an indentation load vs. deflection curve into a strain energy density vs. first invariant curve. From the strain energy density vs. first invariant curve, we can extract the rubber material properties. This new spherical indentation approach produces the rubber material properties in a manner more effective than the common uniaxial tensile/com-pression tests. The indentation approach successfully measures the rubber material properties and the corresponding nominal stress-strain curve with an average error less than 3%.

• 대한수학회지
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• 제48권5호
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• pp.953-967
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• 2011

We show that the characteristic function $1S_{\underline{\alpha}}$ of any Harder-Narasimhan strata $S{\underline{\alpha}}\;{\subset}\;Coh_X^{\alpha}$ belongs to the spherical Hall algebra $H_X^{sph}$ of a smooth projective curve X (defined over a finite field $\mathbb{F}_q$). We prove a similar result in the geometric setting: the intersection cohomology complex IC(${\underline{S}_{\underline{\alpha}}$) of any Harder-Narasimhan strata ${\underline{S}}{\underline{\alpha}}\;{\subset}\;{\underline{Coh}}_X^{\underline{\alpha}}$ belongs to the category $Q_X$ of spherical Eisenstein sheaves of X. We show by a simple example how a complete description of all spherical Eisenstein sheaves would necessarily involve the Brill-Noether stratas of ${\underline{Coh}}_X^{\underline{\alpha}}$.