• Title/Summary/Keyword: Curve on surface

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A 4-axis NC Lettering System for the Side-wall of the Automobile Tire (타이어 사이드판의 문자 가공을 위한 4축 가공 시스템)

  • Lee, Cheol-Soo;Park, Gwang-Ryeol
    • IE interfaces
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    • v.11 no.2
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    • pp.65-78
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    • 1998
  • The letters of the automobile tire are usually engraved on the side-wall. The shape of the side-wall is a sculptured surface generated by the rotational sweeping of a profile curve. The letters laid on the side-wall are usually designed by a 2-dimensional CAD. It is impossible to machine the letters on the surface accurately by 3-axis NC machining, because the axis of cutter should be tilted to align with the normal vector of the surface. In this case. the degree of freedom for the machine is at least four. This paper describes an idea for tool path generation of a 4-axis machine by using the 2-dimensional CAD data of the letters and the surface of the side-wall. This study includes the following procedures; (1) measuring the profile of the side-wall surface and curve-fitting of the measured points. (2) the 'non-parallel projection' of the letters on the side-wall, and (3) an inverse kinematics of the 4-axis lettering machine. Procedures in this paper are programmed in C-language on Windows95 environment. With a PC based CNC controller and a 4-axis lettering machine. these are tested sucessfully for the practical use.

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LEED I/V Curve Analysis of O/Fe(100) and MgO/Fe(100) System (O/Fe(100) and MgO/Fe(100) 계의 LEED I/V curve 분석)

  • Seo, J.K.;Kim, S.H.
    • Journal of the Korean Vacuum Society
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    • v.16 no.1
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    • pp.1-6
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    • 2007
  • We have analyzed the atomic structure of O/Fe(100) and interface atomic structure of MgO deposited on Fe(100) surface using LEED I/V curve analysis. As the O adsorption on the Fe(100) surface, the first substrate interlayer distance is expanded by up to 16%. For 1ML MgO deposited on Fe(100) surface, the oxygen ions of MgO are located on-top of the Fe atoms, the interlayer distance at the MgO/Fe interface are expanded. From the AIA(average intensity mixing approximation) calculation, we find the interface structure of monolayer MgO on Fe(100) system has the two interface structure with MgO/FeO/Fe(100) and MgO/Fe(100). This supports the results of EELS experiment that shown existence of stretched FeO layer and coexistance of MgO/FeO/Fe(100) and MgO/Fe(100) structure.

A Study on the Surface Treatment of Prepreg with $Ar^+$ Ion to Increase Mode I Fracture Characteristics of Fiber-Reinforced Composites (섬유강화 적층복합재의 열림모드 파괴특성 향상을 위해 $Ar^+$ 이온도움반응법을 적용한 프리프레그의 표면처리 연구)

  • Lee, Gyeong-Yeop;Ji, Chang-Heon;Yang, Jun-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.11
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    • pp.2771-2776
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    • 2000
  • In this work, the effect of surface treatment of prepreg on the mode I fracture behavior was studied. Unidirectional (0-deg) double cantilever beam (DCB) specimens were used for fracture tests. Two groups of DCB specimens were made: the first group was made of prepregs surface-treated by Ar(sup)+ ion beam under oxygen environment and the second group was made of regular prepregs. For both groups, fracture resistance curve (R-curve) was determined and compared to each other, Results showed that resistance behavior of the first group is better than that of the second group. That is, mode I fracture toughness, G(sub)Ic of the first group is 24% larger than that of the second group. SEM examination shows that the improvement of G(sub)Ic is due to the increase of interfacial strength between plies.

ON SPATIAL QUATERNIONIC SMARANDACHE RULED SURFACES

  • Kemal Eren;Abdussamet Caliskan;Suleyman SENYURT
    • Honam Mathematical Journal
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    • v.46 no.2
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    • pp.209-223
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    • 2024
  • In this paper, we investigate the spatial quaternionic expressions of the ruled surfaces whose base curves are formed by the Smarandache curve. Moreover, we formulate the striction curves and dralls of these surfaces. If the quaternionic Smarandache ruled surfaces are closed, the pitches and angle of pitches are interpreted. Finally, we calculate the integral invariants of these surfaces using quaternionic formulas.

Manufacturing and error compensation of interpolated curves and surfaces for reverse Engineering (Reverse Engineering을 위한 보간곡선, 곡면의 가공 및 오차 보정)

  • 양재봉
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1997.10a
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    • pp.230-234
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    • 1997
  • Reverse engineering involves digitizing a three-dimensional model or part converting the data to a CAD database description and manufacturing by CNC. Currently, the digitization is done through measurements taken manually by a CMM or touch probe mounted on a CNC machinetool. Some reverse engineering techniques require close integration between the data collection method and the surface-fitting algorithms. Accurate surface data are collected by input to the surface fitting method. This study has been found that both the smoothness of surfaces and accuracy of surface fitting are related with the degree of the interpolated surfaces.

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A STUDY OF THE TUBULAR SURFACES ACCORDING TO MODIFIED ORTHOGONAL FRAME WITH TORSION

  • Gulnur SAFFAK ATALAY
    • Honam Mathematical Journal
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    • v.46 no.2
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    • pp.279-290
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    • 2024
  • In this study, tubular surfaces were introduced according to the modified orthogonal frame defined at the points where the torsion is different from zero in the 3-dimensional Euclidean space. First, the relations between the Frenet frame and the modified orthogonal frame with torsion are given. Then, the singularity, Gaussian curvature, mean curvature and basic forms of the tubular surface given according to the modified orthogonal frame with torsion were calculated. In addition, the conditions for the parameter curves of the tubular surface to be geodesic, asymptotic and line of curvature were examined. Finally, tubular surface examples based on both the Frenet frame and the modified orthogonal frame with torsion were given to support the study.

Effects of organic additives in cyanide zinc electroplating Bath(Part 2) (시안화아연 도금욕에 있어서 유기화합물 첨가제의 영향 (제 2 보))

  • Lee, Ju-Seong;Park, Jung-Il
    • Journal of the Korean institute of surface engineering
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    • v.12 no.3
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    • pp.174-179
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    • 1979
  • The effects of brightness, electrochemical behaviour on the organic additives, such as aldehydes, polymers, amines and condensed product obtained from epichlorohydrin and nicotinamide, in cyanide zinc electrolplating bath have been studied by controlled potential electrolyser. The results were summerized as follows: (1) It was found that the addition of only one compound of these organic compounds in the bath was unsuitable but mixture of anisaldehyde or monoethanolamine and condensed product as suitable as brightener. (2) The cathodic polarization curve of polymers or aldehydes in cyanide zinc electroplating bath was almost the same but the cathodic polarization curve of condensed product remarkable shifted to noble potential more than non-additive curve.

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On the Trajectory Null Scrolls in 3-Dimensional Minkowski Space-Time E13

  • Ersoy, Soley;Tosun, Murat
    • Kyungpook Mathematical Journal
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    • v.48 no.1
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    • pp.81-92
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    • 2008
  • In this paper, the trajectory scroll in 3-dimensional Minkowski space-time $E_1^3$ is given by a firmly connected oriented line moving with Cartan frame along curve. Some theorems and results between curvatures of base curve and distribution parameter of this surface are obtained. Moreover, some theorems and results related to being developable and minimal of this surface are given. And also, some relationships among geodesic curvature, geodesic torsion and the curvatures of base curve of trajectory scroll are found.

An approach of using ideal gradating curve and coating paste thickness to design concrete performance-(2) Experimental work

  • Wang, H.Y.;Hwang, C.L.;Yeh, S.T.
    • Computers and Concrete
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    • v.10 no.1
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    • pp.35-47
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    • 2012
  • The ideal gradating curve is used in this study to estimate densified aggregate blended ratio and total surface area of aggregate, there by under assigned paste amount of concrete, and coating paste thickness can then be deduced. Four groups of concrete mixtures were prepared and the corresponding concrete properties, such as workability, compression strength, ultrasonic velocity, surface resistivity and chloride ion penetration, were measured and finally the results are interpreted in terms of "coating thickness". The result shows as the coating thickness of the concrete is higher than critical one, the coating thickness on aggregate does affect the workability, and whatever workability is required the superplasticizer can be adjusted to achieve the demand workability. Under a fixed paste quality at the same age, coating paste thickness is inversely proportional to the concrete properties, especially as the coating thickness gets thinner.

A Study on Ultra Precision Machining for Aspherical Surface of Optical Parts (비구면 광학부품의 초정밀 가공에 관한 연구)

  • Lee, Ju-Sang
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.10
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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.