• Title/Summary/Keyword: Conformal Mapping

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Finite Element Analysis of Torque Characteristics of Harmonic Side Drive Motor (유한 요소법을 이용한 하모닉 모터(Harmonic side drive motor)의 토오크 특성 해석)

  • Yun, Seo-Jin;Lee, Eun-Woong;Lee, Dong-Ju
    • Proceedings of the KIEE Conference
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    • 1998.11a
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    • pp.58-60
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    • 1998
  • This paper analyzes the torque characteristics with the structure of harmonic side drive motor using by F.E.M and conformal mapping method. F.E.M and conformal analysis result are almost same. Through the results, we investigate how do design parameters variation affect torque characteristics.

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Formulation of a Singular Finite Element and Its Application (특이 유한요소의 구성과 응용)

  • Kim, Myung-Sik;Lim, Jang-Keun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.6 s.165
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    • pp.1018-1025
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    • 1999
  • For the effective analysis of two dimensional plane problems with geometrical discontinuities, singular finite element has been proposed. The element matrix equation was formulated on the basis of hybrid variational principle and Trefftz function sets derived consistently from the complex theory of plane elasticity by introducing a conformal mapping function. In order to suggest the accuracy characteristics of the proposed singular finite element, typical plane problems were analyzed and these results were compared with exact solutions. The singular finite element gives the comparatively exact values of stress concentration factors or stress intensity factors and can be effectively used for the analysis of mechanical structures containing various geometrical discontinuities.

Analysis of Laminar Flow Through Internally Finned Tube (Fin이 부착된 원관내를 통과하는 층류 유동해석)

  • 정호열;정재택
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.14 no.3
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    • pp.254-260
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    • 2002
  • There have been many studies for the flow through internally finned tube, since the heat exchangers with fin device derive much attention in heat transfer enhance cent. In this study, analysis of laminar flow through the circular tube with longitudinal fins are investigated. The height and the number of fins are arbitrary. The flow field is assumed to be laminar and conformal mapping is used to obtain analytic solution. From the analytic solution, equi-velocity lines are shown, and the flow rate through the finned tube is calculated for various fin heights and numbers of fins. Darcy friction factor for this finned tube and shear stress distributions on the wall and fin are also considered.

Numerical analysis of natural convection heat transfer from a fin in parallel enclosure

  • Bae, Myung-Whan;Mochimaru, Yoshihiro
    • Journal of Advanced Marine Engineering and Technology
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    • v.40 no.5
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    • pp.412-417
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    • 2016
  • A fin of finite width with infinitely small thickness is assumed to be placed horizontally between two horizontal parallel plates of infinite extension in the exactly central position. The lower plate and the half of the upper plate are kept at a constant lower temperature, and the remaining upper plate is kept at a constant higher temperature. The fin is also kept at a constant temperature (variable). Steady-state two-dimensional laminar natural convection is analyzed as a problem of boundary value under a boundary-fitted conformal mapping system, using a spectral finite difference scheme, with a condition of doubly-connectedness. The steady-state solution is obtained as a limit of the transient solution.

Analysis on the free surface flow induced by a pair of source-sink in Stokes flow (스톡스 유동장 내의 한 쌍의 소오스-싱크에 의한 자유표면 유동해석)

  • Jeong, Jae-Tack;Park, Jong-Sun
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.304-307
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    • 2008
  • Two-dimensional Stokes flow due to the line source and line sink of same strength in semi-infinite flow region with free surface is analysed using complex variable theory and conformal mapping. Surface tension effects are included while gravity is neglected. From the results of analysis, flow pattern and free surface shape are obtained and velocity distribution on the free surface is determined with 2 independent parameters Ca (capillary number) and h (non-dimensionalized distance between source and sink). When the location of the sink is above the source, velocity on the free surface converges and a cusp occurs on the free surface for the value of Ca above some critical capillary number.

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Simple model of interdigital capacitors for microwave applications (마이크로파 응용을 위한 Interdigital capacitor의 간단한 모델)

  • You, Hee-Wook;Lee, Myung-Shik;Kim, Dong-Ho;An, Ho-Myoung;Koh, Jung-Hyuk
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2005.11a
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    • pp.198-199
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    • 2005
  • Conformal mapping based models are given for interdigital capacitors on substrates with a thin superstrate and covering dielectric thin film. This model is useful for a wide range of dielectric constant and layer thickness. Interdigital capacitors with finger numbers n>3 are discussed.

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Application of Conformal Mapping in Analysis the Parallel Stripline Resonator

  • Tran, T.H.;You, S.J.;Kim, J.H.;Seong, D.J.;Jeong, J.R.
    • Proceedings of the Korean Vacuum Society Conference
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    • 2012.02a
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    • pp.180-180
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    • 2012
  • A microplasma system source based on microwave parallel stripline resonator (MPSR) was developed for the generation of microplasmas in a wide range of pressure from some torr to 760 torr. This source was operated at its resonance frequency that much depends upon not only its discharge gap size but also operated pressure. This paper applied a simple circuit model to analyze the effects of discharge gap size and pressure to resonance frequency and impedance of MPSR in the cases with and without plasma exist inside the discharge gap. In the process of calculating, the conformal mapping method was used to estimate the capacitance of the MPSR. The calculating results by using circuit model agree well with the simulation results that using commercial CST microwave studio software.

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Modeling of an On-Chip Power/Ground Meshed Plane Using Frequency Dependent Parameters

  • Hwang, Chul-Soon;Kim, Ki-Yeong;Pak, Jun-So;Kim, Joung-Ho
    • Journal of electromagnetic engineering and science
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    • v.11 no.3
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    • pp.192-200
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    • 2011
  • This paper proposes a new modeling method for estimating the impedance of an on-chip power/ground meshed plane. Frequency dependent R, L, and C parameters are extracted based on the proposed method so that the model can be applied from DC to high frequencies. The meshed plane model is composed of two parts: coplanar multi strip (CMS) and conductor-backed CMS. The conformal mapping technique and the scaled conductivity concept are used for accurate modeling of the CMS. The developed microstrip approach is applied to model the conductor-backed CMS. The proposed modeling method has been successfully verified by comparing the impedance of RLC circuit based on extracted parameters and the simulated impedance using a 3D-field solver.

Experimental Verification of Electromagnetic Cloak Based on Quasi-Conformal Mapping (준등각 맵핑 기반 전자기파 투명화 구조의 실험적 검증)

  • Kim, Yongjune;Seo, Ilsung;Koh, Il-Suek;Lee, Yongshik
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.27 no.6
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    • pp.491-494
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    • 2016
  • A design method is proposed to minimize the scattering cross section(SCS) of the electromagnetic cloak based on the quasi-conformal mapping. Often times in such cloaking structures, parts that require refractive index below one are approximated with free space because of the difficulty involved with realization. In this process, preformance degradation is inevitable. In this work, the size of the cloak is optimized to compensate for the deterioration, and thus to minimize the scattering cross section of a diamond shaped conductor. Proposed cloak is fabricated using a 3D printer, and verified by measuring the cloaking performance of a diamond shaped aluminum target.