• Title/Summary/Keyword: revolution surfaces

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ON SOME L1-FINITE TYPE (HYPER)SURFACES IN ℝn+1

  • Kashani, Seyed Mohammad Bagher
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.1
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    • pp.35-43
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    • 2009
  • We say that an isometric immersed hypersurface x : $M^n\;{\rightarrow}\;{\mathbb{R}}^{n+1}$ is of $L_k$-finite type ($L_k$-f.t.) if $x\;=\;{\sum}^p_{i=0}x_i$ for some positive integer p < $\infty$, $x_i$ : $M{\rightarrow}{\mathbb{R}}^{n+1}$ is smooth and $L_kx_i={\lambda}_ix_i$, ${\lambda}_i\;{\in}\;{\mathbb{R}}$, $0{\leq}i{\leq}p$, $L_kf=trP_k\;{\circ}\;{\nabla}^2f$ for $f\;{\in}\'C^{\infty}(M)$, where $P_k$ is the kth Newton transformation, ${\nabla}^2f$ is the Hessian of f, $L_kx\;=\;(L_kx^1,\;{\ldots},\;L_kx^{n+1})$, $x=(x^1,\;{\ldots},\;x^{n+1})$. In this article we study the following(hyper)surfaces in ${\mathbb{R}}^{n+1}$ from the view point of $L_1$-finiteness type: totally umbilic ones, generalized cylinders $S^m(r){\times}{\mathbb{R}}^{n-m}$, ruled surfaces in ${\mathbb{R}}^{n+1}$ and some revolution surfaces in ${\mathbb{R}}^3$.

Current distribution of a conducting body of revolution includig discontinuous surface (불연속면을 포함하고 있는 회전형 완전도체의 전류분포특성)

  • 김경언
    • Proceedings of the Optical Society of Korea Conference
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    • 1990.02a
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    • pp.29-33
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    • 1990
  • Efficient numerical method is developed for treating electromagnetic problems of scattering and radiation from surfaces. Special consideration is given to the treatment of edges so that rather arbitrary geometrical configurations may be handled. For the conducting body problems considered, an electric field integral formulation is used, and the method of moments is applied using pulse expantions to present currents. Numerial results indicate that the approach is free os anomalies in the behavior of current for body of revoution.

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Wear Characteristics of Plastic Pinion Against Steel Gear (플라스틱기어의 마멸특성에 관한 고찰)

  • 김충현;김영민;안효석;정태형
    • Tribology and Lubricants
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    • v.16 no.5
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    • pp.324-331
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    • 2000
  • Wear characteristics of Plastic and Nylon pinions against steel gear were studied to gain a better understanding of their tribological behaviors. Wear tests were conducted with power circulating gear test rig under dry contact conditions. Specific wear rates were measured as a function of applied load and the number of revolution. The worn teeth surfaces were examined with a profile projector and a camera. Nylon pinion showed lower specific wear rates than acetal pinion, but suffered teeth breakage under high load per unit tooth width. The dominant wear mechanisms found were adhesion and abrasion.

A Study on Improving the Efficiency of Magnetic Abrasive Polishing for Die & Mold Surfaces (금형면의 자기연마가공 고효율화에 관한 연구)

  • Lee, Yong Chul;Anzai, Masahiro;Nakagawa, Takeo
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.6
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    • pp.59-65
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    • 1996
  • There are many difficulties in automatic polishing for die & mold surfaces. Even though the process has been studied in the past 15 years, it has not been achieved yet, but by the process of actual hand work of well-skilled workers. A new magentic assisted polishing process, which is one of the potential methods for automation of surface finishing has been studied in the past 10 years by colleagues. The process has many merits, but on the other hand also has demerits, one being low efficiency of grindability by comparision with wheel polish. Therefore, some attempts were tried to improve the grindability by adopting electropolishing, ultra-high speed milling, 5-axis controlled machine etc... most recently by colleagues. This paper also aims to improve the efficiency of polishing by introducing the easily-polished shape surface cutting method equalizing the tool feed per revolution to the pick feed. This cutting method was experimentally confirmed to have sufficient grindability to polish milled surface (with $10{{\mu}m}$Rmax surface roughness) into mirror surface (with $0.4{{\mu}m}$Rmax surface roughness).

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A Study on Representation Techniques of Visual Tactility in the Surface of Contemporary Architectutre (현대건축의 표면에 나타난 시각적 촉각의 표현기법에 관한 연구)

  • Jeon, You-Chang;Kim, Sung-Wook
    • Korean Institute of Interior Design Journal
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    • v.17 no.3
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    • pp.139-147
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    • 2008
  • Modern architecture's optical mechanism focused on Ocuularcentrism neglects the tactility of vision and tends to eliminate the optical and tactile dualism of traditional spaces by representing spaces and surfaces that are abstract and cold-hearted. In other words, all sensory experiences, except for visual experiences, are eliminated to make it impossible to create the substantial core of architecture that combines time, image, and surface textures. The fast-changing social trends, the emergence of new materials and technologies, and the corresponding development of various types of media since the Industrial Revolution have changed the paradigm of human perception and representation. With the development of media, other sensory experiences besides visual experience have been stressed and human perception has converted from single perspective to complex perspective. In result, new sensory items, such as visual tactility, have replaced the traditional vision-centered hierarchy. The composition of architectural surfaces has represented the functional and commercial needs of technology, structure, as well as the socio-cultural needs of the community. In contemporary times, it is being changed and developed by the new tactility and the corresponding expression of modern architecture. Based on the visual representation of tactility of architectural surface, this study used a composition of surface that combines various events, meanings, and senses to examine how architecture can mediate and reproduce viewers' visual experiences and discover the existential relationship between architecture and men.

Optimization of Process Variables for Insulation Coating of Conductive Particles by Response Surface Methodology (반응표면분석법을 이용한 전도성물질의 절연코팅 프로세스의 최적화)

  • Sim, Chol-Ho
    • Korean Chemical Engineering Research
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    • v.54 no.1
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    • pp.44-51
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    • 2016
  • The powder core, conventionally fabricated from iron particles coated with insulator, showed large eddy current loss under high frequency, because of small specific resistance. To overcome the eddy current loss, the increase in the specific resistance of powder cores was needed. In this study, copper oxide coating onto electrically conductive iron particles was performed using a planetary ball mill to increase the specific resistance. Coating factors were optimized by the Response surface methodology. The independent variables were the CuO mass fraction, mill revolution number, coating time, ball size, ball mass and sample mass. The response variable was the specific resistance. The optimization of six factors by the fractional factorial design indicated that CuO mass fraction, mill revolution number, and coating time were the key factors. The levels of these three factors were selected by the three-factors full factorial design and steepest ascent method. The steepest ascent method was used to approach the optimum range for maximum specific resistance. The Box-Behnken design was finally used to analyze the response surfaces of the screened factors for further optimization. The results of the Box-Behnken design showed that the CuO mass fraction and mill revolution number were the main factors affecting the efficiency of coating process. As the CuO mass fraction increased, the specific resistance increased. In contrast, the specific resistance increased with decreasing mill revolution number. The process optimization results revealed a high agreement between the experimental and the predicted data ($Adj-R^2=0.944$). The optimized CuO mass fraction, mill revolution number, and coating time were 0.4, 200 rpm, and 15 min, respectively. The measured value of the specific resistance of the coated pellet under the optimized conditions of the maximum specific resistance was $530k{\Omega}{\cdot}cm$.

Analysis of Microchannel Flow Fields Using Micropolar Fluid Theory (미세극성유체 이론을 이용한 마이크로 채널내의 유동장 해석)

  • Choi, G.W.;Kim, J.H.;Kim, Youn-J.
    • Proceedings of the KSME Conference
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    • 2001.06e
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    • pp.196-201
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    • 2001
  • In this paper, we have described the microchannel fluid behavior in a slot between rotating curvilinear surfaces of revolution using micropolar fluid theory. ]n order to solve this problem, we have used boundary layer equations and applied non-zero values of the microrotation vector on the wall. The results are compared with the corresponding flow problems for Newtonian fluid. Results show that both the velocity distribution and the microrotation component distribution for a micropolar fluid are lower than that of a Newtonian fluid.

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A Study on the Joint Properties according to the Friction Welding Area Change of Carbon Steel(SM25C) (탄소강(SM25C)의 접합면적의 변화에 따른 마찰용접의 접합특성에 관한 연구)

  • Park Keun Hyung;Min Taeg Ki;Yoon Young Joo;Park Chang Soo
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.15 no.1
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    • pp.102-107
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    • 2006
  • This study investigates the properties as the difference friction welding area on SM25C steel rod. The tensile and bending strength and of welded joints, the hardness distribution of welds, the microstructure of welds and the tensile fracture surfaces were mainly investigated through this experiment. The fixed friction welding conditions were revolution 2000rpm, friction pressure 70Mpa, friction time 1.5sec, upset pressure 100Mpa, upset time 2.0sec, upset length 2.8mm and changeable friction welding parameter was friction welding area.

Teaching and Learning Models for Mathematics using Mathematica (I)

  • Kim, Hyang-Sook
    • Research in Mathematical Education
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    • v.7 no.2
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    • pp.101-117
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    • 2003
  • In this paper, we give examples of models we have created for use in university mathematics courses. We explain the concept of linear transformation, investigate the roles of each component of 2 ${\times}$ 2 and 3 ${\times}$ 3 transformation matrices, consider the relation between sound and trigonometry, visualize the Riemann sum, the volume of surfaces of revolution and the area of unit circle. This paper illustrates how one can use Mathematica to visualize abstract mathematical concepts, thus enabling students to understand mathematics problems effectively in class. Development of these kinds of teaching and learning models can stimulate the students' curiosity about mathematics and increase their interest.

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Numerical Analysis of Transonic Laminar Flow in Turbomachinery Using Finite Volume Method(II) Flow on Relative Stream Surface (유한체적법을 이용한 터보기계 회전차 내부의 천이음속.층류 유동해석(II) 상대유면 유동해석)

  • 조강래;오종식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.2
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    • pp.452-457
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    • 1993
  • For the calculation of transonic laminar relative flow fields on the axisymmetric H-S and B-B stream surfaces in turbomachinery, a finite volume method developed in Part (I) is extended. Energy equation is replaced for simplicity by the condition of constant rothalpy throughout the flow fields. For axisymmetric H-S flow the circumferential componets of absolute velocity are given in advance so that this component of momentum equations can be neglected. Some numerical results show good agreement with experimental data.