• Title/Summary/Keyword: Equation of a Circle

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Optimal Design of an Outer-rotor Flux-switching Permanent Magnet Motor for High Speed Operation (외전형 FSPM(Flux Switching Permanent Magnet) 전동기의 고속 운전을 위한 최적 설계)

  • Lee, Jae-Kwang;Jang, Jin-Seok;Kim, Byung-Teak
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.11
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    • pp.2035-2042
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    • 2011
  • In this paper, we proposed the outer-rotor type of FSPM motor for high speed operation and optimized motor shape. First of all, combinations of pole and slot numbers are examined for the optimal back-EMF and cogging torque, then optimizes the better shape design of the permanent magnet, rotor pole width. Further, The winding turns are obtained by circle of the voltage limit equation and motor parameters to minimize the current and to improve the efficiency. As a result, the performance of the designed model is satisfied, and it is verified through a two-dimensional finite element method (2D-FEA).

Development of Automated Design Program for Electric Railway Pole Foundation (전철주기초 설계 자동화 프로그램 개발)

  • Kim, Jung-Moo;Chung, Won-Yong;Jeon, Yun-Bae;An, Seung-Hwa;Song, Kyu-Seok;Kim, Jong-Nam;Lee, Su-Hyung
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.692-697
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    • 2010
  • In this paper, a design program for electric railway pole foundation was developed by applying the estimation study performed by Korean Railway. There are two kinds of shapes in the cross-section of electric railway pole foundation: rectangle and circle. In foundation designing, The rectangular foundation should be satisfied with vertical, horizontal and moment equilibrium equations. On the other hand, the circular foundation should be satisfied with horizontal and moment equilibrium equations. The design program was coded into MFC(Microsoft Foundation Class) by MS Visual C. The equation's roots in the program were obtained by Incremental Search method. Dialog and property sheet(Wizard Mode) input windows were selected for user-friendliness. The biggest advantage of this program is to find an optimum depth in a given section.

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Teaching method of the ellipse in Transformation Geometry (변환 기하학적 관점에서 본 타원의 지도 방안)

  • Cho, Cha-Mi
    • School Mathematics
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    • v.14 no.3
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    • pp.331-355
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    • 2012
  • All the method used in teaching the ellipse was to have students draw the points which have the same sum of distances from the two points so that they can confirm the shapes of the ellipse before showing them the definition of ellipse. In this process, students would not get an opportunity to think or make the definition of ellipse for themselves. This deductive way can hinder students from having clear understanding of why such definition was made. This paper introduces a method of defining the ellipse based on the similarity between a circle and an ellipse, leading into the equation. This method is possible by introducing Analytic Geometry taught in current school mathematics and Transformation Geometry. By doing so, this paper will discuss a fundamental understanding about the ellipse and the feature of the ellipse expandable by intuition. Furthermore this paper will also show various advantages which can be given by defining the ellipse in Transformation Geometry.

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Towards the Virtuous Circle in Virtual Community through Knowledge Seeking and Sharing (가상공동체의 지식선순환을 위한 지식탐색과 공유에 관한 연구)

  • Kim, Jae Kyung
    • Journal of Intelligence and Information Systems
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    • v.20 no.2
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    • pp.19-38
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    • 2014
  • This study focused on the role of active knowledge seeking (knowledge browsing and knowledge searching) in the context of virtual community of interest. Knowledge seeking is rarely studied as an antecedent in knowledge management (KM) research. Active knowledge seeking is considered as antecedents of sense of virtual community which mediates to knowledge sharing intention and virtual community promotion. Research hypotheses are tested by applying structure equation modeling with survey data from virtual community members in South Korea. Active knowledge seeking behavior was found to be the strong predictor of sense of virtual community, which, in turn, positively affects knowledge sharing intention and virtual community promotion. Implication to practitioners is to understand and accommodate the members' knowledge seeking efforts, who are potential contributors and promoters of the virtual community. Knowledge seeking, knowledge sharing and promoting virtual community are more of human activities than technology and this study extends the understanding of such human activities. By providing a mechanism of how knowledge seeking and sharing could work harmoniously, a virtuous circle with win-win situation could be achieved in virtual communities.

Development of a Practical Algorithm for en-route distance calculation (항로거리 산출을 위한 실용 알고리즘 개발)

  • GeonHwan Park;HyeJin Hong;JaeWoo Park;SungKwan Ku
    • Journal of Advanced Navigation Technology
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    • v.26 no.6
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    • pp.434-440
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    • 2022
  • The ICAO (International civil aviation organization)recommended the implementation of the GANP (global air navigation plan) for strategic decision-making and air traffic management evaluation. In this study, we proposed a new method for finding the route distance from KPI (key performance indicator) 05 actual route extension presented for air traffic management evaluation. For this purpose, we collected trajectory data for one month and calculated the en-route distances using the methods presented in ICAO and the methods presented by this author. In the ICAO method, the intersection point must be estimated through the equation of a circle for radius 40 NM and the equation of a straight line for an inner and outer point close to a circle in the track data, and four flight distances are calculated to calculate the en-route distance. In the method presented in this study, two flight distances are calculated without estimating the intersection point to calculate the en-route distance. To determine the error between the two methods, we used the performance evaluation index RMSE (root mean square error) and the determination factor R2 of the regression model.

Effect of blast-induced vibration on a tunnel (발파진동이 터널구조물에 미치는 영향)

  • Moon, Hoon-Ki;Shin, Jong-Ho
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.10 no.3
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    • pp.207-219
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    • 2008
  • In urban areas, it is very often to excavate ground adjacent to existing structures for the construction of new buildings. Deformation and vibration induced by such construction activities may cause damages to the existing structures and petitions from citizens. To secure safety of the existing structures, particularly of tunnels, establishment of general guidelines on vibration have been crucial concerns, although some institutions have their own guidelines which are not generally accepted. This study aims establishing guidelines for tunnel safety due to blast-induced vibration. Numerical methods are adopted for this study. Blast load equation proposed by International Society of Explosive Engineers (2000) is used to decide detonation pressure. Analysis models were obtained from the construction cases of Seoul Metros. By performing dynamic numerical analysis, vibration velocity of an existing tunnel is evaluated. The numerical results are verified by comparing with the field measurement data obtained in excavation sites adjacent to an existing tunnel. Based on the results vibration safety zone is proposed. Influence circle for vibration velocity is drawn and the area not exceeding the allowable vibration velocity is established.

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An Experimental Study on the Turbulent Flow of a 45$^{\circ}C$ Free Cross Jet (450自由衝突 噴射 의 亂流流動 에 관한 實驗的 硏究)

  • 노병준;김장권
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.8 no.5
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    • pp.442-449
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    • 1984
  • Turbulent jet flow has been studied in many ways; a plane jet, a rectangular jet, an annular jet, a round jet, a wall jet, a parallel jet, a valve jet, a cross jet, a slit jet and etc. In this report, a 45.deg. cross jet flow was tried by using two same dimensioned nozzels(dia..phi.20)which were set up at the exit of the subsonic wind tunnel. Each jet flows to the direction of 22.5.deg. to the axis of downstream of the mixed flow. The centerline of each jet meets at the distance of 217.3mm and their mixing flow could be imagined to develop beyond that distance, so the measurement was effectuated at X/X$_{0}$=1.2-1.5. The section of the mixed flow a elliptic circle which is formed by the 22.5.deg. inclined flows to the X direction. This experimental study aimed at the investigation of the turbulent mixing process of two jets; the mean velocities, the turbulent shear stresses, the correlation coefficients, and the momentum were respectively measured. The mean velocity distribution profiles of the down-stream component measured in the Y direction coincide well with the empirical equation of Gortler and those measured in the Z direction agree with the equation of H. Schlichting. Other mean velocities V over bar and W over bar components were randomly distributed. The higher values with same order of the intensity of turbulence were largely distributed at the central part of the flow. The momentum was decreased up to 70% by the shock losses and the development of intense turbulences, but it kept its value constantly beyond X/d=14. Two-channel hot-wire anemometer systems (model 1050 series), X-type hot-wire made of tungsten (dia. .phi.e.mu.m, long 3mm, model 0252 T5), a computer(model HP 9845B0, and a plotter (model HP 9872C) were used for the experiments and the analyses.s.

Prediction of a research vessel manoeuvring using numerical PMM and free running tests

  • Tiwari, Kunal;Hariharan, K.;Rameesha, T.V.;Krishnankutty, P.
    • Ocean Systems Engineering
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    • v.10 no.3
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    • pp.333-357
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    • 2020
  • International Maritime Organisation (IMO) regulations insist on reduced emission of CO2, noxious and other environmentally dangerous gases from ship, which are usually let out while burning fossil fuel for running its propulsive machinery. Contrallability of ship during sailing has a direct implication on its course keeping and changing ability, and tries to have an optimised routing. Bad coursekeeping ability of a ship may lead to frequent use of rudder and resulting changes in the ship's drift angle. Consequently, it increases vessels resistance and also may lead to longer path for its journey due to zigzag movements. These adverse effects on the ship journey obviously lead to the increase in fuel consumption and higher emission. Hence, IMO has made it mandatory to evaluate the manoeuvring qualities of a ship at the designed stage itself. In this paper a numerical horizontal planar motion mechanism is simulated in CFD environment and from the force history, the hydrodynamic derivatives appearing in the manoeuvring equation of motion of a ship are estimated. These derivatives along with propeller thrust and rudder effects are used to simulate different standard manoeuvres of the vessel and check its parameters against the IMO requirements. The present study also simulates these manoeuvres by using numerical free running model for the same ship. The results obtained from both these studies are presented and discussed here.

How To Teach The Quadratic Curves Through Historical Overview (역사적 고찰을 통한 이차곡선의 지도방안)

  • Jang, Mi-Ra;Kang, Soon-Ja
    • Communications of Mathematical Education
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    • v.24 no.3
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    • pp.731-744
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    • 2010
  • Nowadays in school mathematics, the skill and method for solving problems are often emphasized in preference to the theoretical principles of mathematics. Students pay attention to how to make an equation mechanically before even understanding the meaning of the given problem. Furthermore they do not get to really know about the principle or theorem that were used to solve the problem, or the meaning of the answer that they have obtained. In contemporary textbooks the conic section such as circle, ellipse, parabola and hyperbola are introduced as the cross section of a cone. But they do not mention how conic section are connected with the quadratic equation or how these curves are related mutually. Students learn the quadratic equations of the conic sections introduced geometrically and are used to manipulating it algebraically through finding a focal point, vertex, and directrix of the cross section of a cone. But they are not familiar with relating these equations with the cross section of a cone. In this paper, we try to understand the quadratic curves better through the analysis of the discussion made in the process of the discovery and eventual development of the conic section and then seek for way to improve the teaching and learning methods of quadratic curves.

An Implementation of the Robust Inviscid Wall Boundary Condition in High-Speed Flow Calculations

  • Kim, Moon-Sang;Jeon, Byung-Woo;Kim, Yong-Nyun;Kwon, Hyeok-Bin;Lee, Dong-Ho
    • Journal of Mechanical Science and Technology
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    • v.15 no.5
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    • pp.671-680
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    • 2001
  • Boundary condition is one of the major factors to influence the numerical stability and solution accuracy in numerical analysis. One of the most important physical boundary conditions in the flowfield analysis is the wall boundary condition imposed on the body surface. To solve a two-dimensional Euler equation, totally four numerical wall boundary conditions should be prescribed. Two of them are supplied by the flow tangency condition. The other two conditions, therefore, should be prepared additionally in a suitable way. In this paper, four different sets of wall boundary conditions are proposed and then applied to solve high-speed flowfields around a quarter circle geometry. A two-dimensional compressible Euler solver is prepared based on the finite volume method. This solver hires three different upwind schemes; Steger-Warmings flux vector splitting, Roes flux difference splitting, and Lious advection upstream splitting method. It is found that the way to specify the additional numerical wall boundary conditions strongly affects the overall stability and accuracy of the upwind schemes in high-speed flow calculation. The optimal wall boundary conditions should be also chosen very carefully depending on the numerical schemes used to solve the problem.

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