• 제목/요약/키워드: analytic geometry

검색결과 108건 처리시간 0.023초

스위치드 릴럭턴스 전동기 설계를 위한 특성해석 및 회로정수 도출 (Analytic Derivation and parameters estimation for SRM Design)

  • 장석명;유대준;박지훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2007년도 춘계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.53-55
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    • 2007
  • Industrial interest in switched reluctance moor (SRM) drives has varied since 1850s. This has been primarily due to the emerging markets for variable speed drives in consumer and industrial products, such as home appliances, air conditioning, hand tools, fans, pump motor, etc. However, SRM has been plagued with the acoustic noise and vibration problem by input power of fixed section. Therefore, This paper offers electromagnetic analysis for torque ripple reduction in mechanical geometry and electric parameters. This means that the rotor pole arc and electric parameters have related to produce the active and negative torque. This analysis results are verified by the finite element method.

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사이클로이드 곡선의 역사와 그 특성에 대한 증명 (A History of the Cycloid Curve and Proofs of Its Properties)

  • 심성아
    • 한국수학사학회지
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    • 제28권1호
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    • pp.31-44
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    • 2015
  • The cycloid curve had been studied by many mathematicians in the period from the 16th century to the 18th century. The results of those studies played important roles in the birth and development of Analytic Geometry, Calculus, and Variational Calculus. In this period mathematicians frequently used the cycloid as an example to apply when they presented their new mathematical methods and ideas. This paper overviews the history of mathematics on the cycloid curve and presents proofs of its important properties.

광대역 초음파 장 응답의 해석과 집속된 Annular Array 영상 시스템 설계에의 응용 (Analysis of Broadband Ultrasonic Field Response and its Application to the Design of Focused Annular Array System)

  • 노경태;송태경;박송배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1987년도 전기.전자공학 학술대회 논문집(II)
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    • pp.1252-1255
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    • 1987
  • In this paper an approach for the analysis of the transient field response of radially symmetric transducer due to a wideband ultrasonic pulse is presented, which is based on a development of Green's function and applies the linear system theory to obtain an analytic expression for the impulse response of an annulus with a planar or spherical geometry. For the focused annular array, the impulse responses of the indivisual annuli are convolved with the delayed excitation pulse, and then summed to obtain the resultant response of the array. This process is very effective in the study of the various focusing abilities of the annular array. For illustration, the field distribution of a five element annular array is treated in detail for several focusing system.

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해석적 기법을 이용한 초고압 GIS용 삼상모선의 온도분포 해석 (Analysis of Temperature Distribution in EHV GIS Three-Phase Busbar Using Analytic Technique)

  • 한성진;김중경
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제55권4호
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    • pp.196-202
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    • 2006
  • This paper presents a new magneto-thermal finite element analysis for predicting the temperature rise of the EHV GIS busbar. Joule's heat due to current flowing in the main conductor and the heat due to the induced eddy current in the tank are calculated by the magnetic field analysis. And these heats are used as the input data to predict the temperature rise for the thermal analysis. However, it is not easy to apply the heat-transfer coefficients on the boundaries for the thermal analysis. In this paper, the heat-transfer coefficients on the boundaries are analytically calculated by applying the Nusselt number considering material constant and model geometry for the natural convection. The temperature distribution in the busbar by coupled magneto-thermal finite element analysis shows good agreement with the experimental data.

비정렬 기반의 CFD 프로그램 개발 (DEVELOPMENT OF CFD PROGRAM BASED ON UNSTRUCTURED GRID SYSTEM)

  • 이정희;이상혁;이명성;허남건
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2010년 춘계학술대회논문집
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    • pp.524-529
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    • 2010
  • In the present study, a CFD program is developed for the Fluid-Structure Interaction(FSI) analysis. The non-staggered, non-orthogonal, and unstructured grid system was also used to handle the complicated geometries in the program. In order to validate the capabilities of the developed CFD program, various models are investigated by using unstructured and nonorthogonal meshes. The predicted results are a good agreement with analytic solution, experimental data and commercial software. And also PISO algorithm is applied for transient flow analysis. The cyclic boundary condition and baffle cell are developed in order to improve the effectiveness of the calculation for complex geometry.

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와이어 직조 카고메 다공질 금속을 심재로 갖는 샌드위치 판재의 최적 설계 (An Optimal Design of Sandwich Panels with Wire-woven Bulk Kagome Cores)

  • 이용현;강기주
    • 대한기계학회논문집A
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    • 제32권9호
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    • pp.782-787
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    • 2008
  • First, the effect of the geometry such as the curved shape of the struts composing the truss structure of WBK is elaborated. Then, analytic solutions for the material properties of WBK and the maximum loads of a WBK-cored sandwich panel under bending are derived. A design optimization with the face sheet thickness and the core height selected as the design variables is presented for given slenderness ratios of the WBK core. Unless the face sheet thickness is limited, the optimal design to give the maximum load per weight is always found at a confluence of three failure modes, namely, face sheet yielding, indentation plastic, and core shear modeB plastic.

AN IMPROVED MONTE CARLO METHOD APPLIED TO THE HEAT CONDUCTION ANALYSIS OF A PEBBLE WITH DISPERSED FUEL PARTICLES

  • Song, Jae-Hoon;Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • 제41권3호
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    • pp.279-286
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    • 2009
  • Improving over a previous study [1], this paper provides a Monte Carlo method for the heat conduction analysis of problems with complicated geometry (such as a pebble with dispersed fuel particles). The method is based on the theoretical results of asymptotic analysis of neutron transport equation. The improved method uses an appropriate boundary layer correction (with extrapolation thickness) and a scaling factor, rendering the problem more diffusive and thus obtaining a heat conduction solution. Monte Carlo results are obtained for the randomly distributed fuel particles of a pebble, providing realistic temperature distributions (showing the kernel and graphite-matrix temperatures distinctly). The volumetric analytic solution commonly used in the literature is shown to predict lower temperatures than those of the Monte Carlo results provided in this paper.

Fully Analytic Approach to Evaluate Laser-induced Thermal Effects

  • Kim, Myungsoo;Kwon, Gyeong-Pil;Lee, Jinho
    • Current Optics and Photonics
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    • 제1권6호
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    • pp.649-654
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    • 2017
  • In this communication, we present an expression to determine thermal lensing in isotropic materials. The heat equation is analytically solved when a Gaussian spatial laser beam profile is introduced to a cylindrical geometry of optics using a complete set of Bessel functions. This expression permits explicit calculation of variation of focal length induced by thermal lensing and allows thermal effects for various material parameters on the optics. We applied our model to a high absorption material (Ti:sapphire) and also transparent material (thallium garnet or TGG) and found that the thermal lensing can be reduced more than 4 times by adjusting the laser beam waist and optics dimensions. Our analysis is completely general and applicable to any optical system.

A simplified analysis of the behavior of suspension bridges under live load

  • Stavridis, Leonidas T.
    • Structural Engineering and Mechanics
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    • 제30권5호
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    • pp.559-576
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    • 2008
  • Having established the initial geometry and cable force of a typical three span suspension bridge under permanent load, the additional maximum response of the cable and the stiffening girder due to live load are determined, by means of an analytic procedure, considering the girder first hinged at its ends and then continuous through the main towers. The problem of interaction between the cable and the stiffening girder is examined taking under due consideration the second order effects, whereby, through the analogy to a fictitious tensioned beam under transverse load, a closed -form solution is achieved by means of a simple quadratic equation. It is found that the behavior of the whole system is governed by five simple dimensionless parameters which enable a quick determination of all the relevant design magnitudes of the bridge. Moreover, by introducing these parameters, a set of diagrams is presented, which enable the estimation of the influence of the geometric and loading data on the response and permit its immediate evaluation for preliminary design purposes.

Development of a Consistent General Order Nodal Method for Solving the Three-Dimensional, Multigroup Neutron Diffusion Equation

  • Kim, Hyun-Dae-;Oh, Se-Kee
    • 한국에너지공학회:학술대회논문집
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    • 한국에너지공학회 1993년도 추계학술발표회 초록집
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    • pp.99-102
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    • 1993
  • A consistent general order nodal method for solving the three-dimensional neutron diffusion equation in (x-y-z) geometry has been derived by using a weighted integral technique and expanding the spatial variable by the Legendre orthogonal series function. The equation set derived can be converted into any order nodal schemes. It forms a compact system for general order of nodal moments. The method utilizes fewer unknown variables in the schemes for iterative-convergence solution than other nodal methods listed in the literatures, and because the method utilizes the analytic solutions of the transverse-integrated one dimensional equations and a consistent approximation for a given spatial variable through all the solution procedures, which renders the use of an approximation for the transverse leakages no longer necessary, we can expect extremely accurate solutions and the solution would converge exactly when the mesh width is decreased or the approximation order is increased.

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