• 제목/요약/키워드: Symmetric coordinate system

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비대칭형 광학계의 유한광선추적 (Finite Raytracing Through Non-rotationally Symmetric Systems)

  • 홍경희
    • 한국광학회지
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    • 제1권2호
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    • pp.217-222
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    • 1990
  • A general ray tracing scheme has been developed for using a personal computer which trace finite rays through any non-rotationally symmetric system. This scheme may be used for the surface type such as conic section with or without aspherics, toric surfaces, sagittal and tangential cylindrical sections and axicons. Specially, any combinational of decentered, tilted and rotated surfaces has been considered. Before transfering to the next surfaces, the local coordinates are refered back to an initial reference coordinate system. We can get a mathmtical model of a non-rotationally symmetrical finite ray trace running on an inexpensive personal computer.

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Application of spherical coordinate system to facial asymmetry analysis in mandibular prognathism patients

  • Yoon, Suk-Ja;Wang, Rui-Feng;Hwang, Hyeon-Shik;Kang, Byung-Cheol;Lee, Jae-Seo;Palomo, Juan Martin
    • Imaging Science in Dentistry
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    • 제41권3호
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    • pp.95-100
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    • 2011
  • Purpose : The purpose of this study was to compare asymmetric mandibular prognathism individuals with symmetric mandibular prognathism individuals using a new alternate spherical coordinate system. Materials and Methods : This study consisted of 47 computed tomographic images of patients with mandibular prognathism. The patients were classified into symmetric and asymmetric groups. Mandibular and ramal lines were analyzed using an alternate spherical coordinate system. The length as well as midsagittal and coronal inclination angle of the lines was obtained. The bilateral differences of the spherical coordinates of the facial lines were statistically analyzed in the groups. Results : There were significant differences between the groups in bilateral difference of the length and midsagittal inclination angle of the lines (p<0.05). The bilateral difference of the length and midsagittal inclination angle of the lines has significant correlation with chin deviation (p<0.05). Conclusion : The new alternate spherical coordinate system was able to effectively evaluate facial lines. The bilateral difference of lengths and midsagittal inclination of the facial lines might contribute to the facial asymmetry in mandibular prognathism individuals.

축대칭 초음속 제트에서 스크리치 모드 전이현상의 수치적 연구 (Numerical Investigation on the Mechanism of Mode Transition in Axi-symmetric Supersonic Jet Screech)

  • 빈종훈
    • 한국항공우주학회지
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    • 제38권8호
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    • pp.790-797
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    • 2010
  • 마하수 1.0~1.2 범위의 초음속 제트에서 발생되는 축대칭 스크리치 톤 소음의 모드 전이 현상이 수치적으로 분석되었다. 이를 위해 k-e 난류모델을 가진 축대칭 Navier-Stokes 방정식이 사용되었으며 수치기법으로서 공간에 대해 소산관계보존기법과 시간에 대해 최적화된 4단계 시간 적분법이 사용되었다. 특히 낮은 마하수에서 발생하는 축대칭 A1 모드의 경우, 비선형성에 기인한 부가적인 음향파 발생을 확인하였으며, 강한 와류의 발생으로 인해 스크리치 소음 주파수는 와류 통과 주파수와 일치함을 알게 되었다.

Pseudo 3D FEM analysis for wave passage effect on the response spectrum of a building built on soft soil layer

  • Kim, Yong-Seok
    • Earthquakes and Structures
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    • 제8권5호
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    • pp.1241-1254
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    • 2015
  • Spatially variable ground motions can be significant on the seismic response of a structure due to the incoherency of the incident wave. Incoherence of the incident wave is resulted from wave passage and wave scattering. In this study, wave passage effect on the response spectrum of a building structure built on a soft soil layer was investigated utilizing a finite element program of P3DASS (Pseudo 3-dimensional Dynamic Analysis of a Structure-soil System). P3DASS was developed for the axisymmetric problem in the cylindrical coordinate, but it is modified to apply anti-symmetric input earthquake motions. Study results were compared with the experimental results to verify the reliability of P3DASS program for the shear wave velocity of 250 m/s and the apparent shear wave velocities of 2000-3500 m/s. Studied transfer functions of input motions between surface mat foundation and free ground surface were well-agreed to the experimental ones with a small difference in all frequency ranges, showing some reductions of the transfer function in the high frequency range. Also wave passage effect on the elastic response spectrum reduced the elastic seismic response of a SDOF system somewhat in the short period range.

Three-dimensional symmetry and parallelism of the skeletal and soft-tissue poria in patients with facial asymmetry

  • Kim, Min-Gun;Lee, Jin-Woo;Cha, Kyung-Suk;Chung, Dong-Hwa;Lee, Sang-Min
    • 대한치과교정학회지
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    • 제44권2호
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    • pp.62-68
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    • 2014
  • Objective: The purpose of this study was to examine the symmetry and parallelism of the skeletal and soft-tissue poria by three-dimensional (3D) computed tomographic (CT) imaging. Methods: The locations of the bilateral skeletal and soft-tissue poria in 29 patients with facial asymmetry (asymmetric group) and 29 patients without facial asymmetry (symmetric group) were measured in 3D reconstructed models of CT images by using a 3D coordinate system. The mean intergroup differences in the anteroposterior and vertical angular deviations of the poria and their anteroposterior and vertical parallelism were statistically analyzed. Results: The symmetric and asymmetric groups showed significant anteroposterior angular differences in both the skeletal and the soft-tissue poria (p = 0.007 and 0.037, respectively; Mann-Whitney U-test). No significant differences in the anteroposterior and vertical parallelism of the poria were noted ($p{\leq}0.05$; Wilcoxon signed-rank test). Conclusions: In general, the skeletal poria are parallel to the soft-tissue poria. However, patients with facial asymmetry tend to have asymmetric poria.

선형 안정성 이론을 이용한 압축성 축 대칭 원뿔 경계층의 천이지점 예측 (Transition Prediction of compressible Axi-symmetric Boundary Layer on Sharp Cone by using Linear Stability Theory)

  • 박동훈;박승오
    • 한국항공우주학회지
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    • 제36권5호
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    • pp.407-419
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    • 2008
  • 본 연구에서는 축 대칭 원뿔 형상 위의 압축성 경계층의 천이 지점을 선형 안정성 이론과 -method를 이용하여 예측하였다. 축 대칭 좌표계에서의 압축성 유동 지배 방정식으로부터 압축성 원뿔 경계층의 선형 안정성 방정식을 얻었으며 안정성 방정식을 2차 정확도의 유한 차분법을 이용하여 계산하는 수치 프로그램을 개발하였다. 개발 된 코드로 원뿔 경계층의 안정성 특성 및 2차원 교란의 증폭률을 계산하고 실험결과와의 비교를 통해 검증을 수행하였다. 얻어진 교란의 증폭률을 활용하여 -method를 통해 천이지점 예측을 수행하였다. 풍동 시험 및 비행 시험 결과와의 비교를 통해 비행 조건에 있는 마하수 4와 8사이의 원뿔 경계층에 대한 본 연구의 천이지점의 예측 능력을 확인하였다. 또한 벽면 냉각이 경계층 내부 교란의 안정성 및 천이 지점에 미치는 영향을 분석하였다.

관성항법시스템의 중첩센서 배치에 대한 항법 및 고장검출 성능분석 (Navigation and Fault Detection Performance Analysis for INS Redundant Sensor Configurations)

  • 김정용;양철관;심덕선
    • 제어로봇시스템학회논문지
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    • 제8권8호
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    • pp.698-705
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    • 2002
  • The redundant sensor configuration problem of inertial navigation system(INS) is considered and analyzed the navigation and fault detection performance according to various sensor configurations. We considered various kinds of redundant sensor configurations for symmetric, cone, and orthogonal configurations and compare the navigation and fault detection performance for the configurations. We show that the navigation and fault detection performance is not affected by the coordinate change for a fixed configuration.

미끄럼 관절 콤플라이언스를 활용한 평면형 3 자유도 RCC 메카니즘의 해석 (Analysis of a Planar 3 DOF RCC Mechanism using Prismatic Joint Compliances)

  • 김희구;김동국;이병주
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1994년도 추계학술대회 논문집
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    • pp.611-616
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    • 1994
  • Most of Commercial Remote Center Compliance(RCC) devices have been designed using deforma ble structures. In this work, we propose another type of assembly devices which generate the compliance effec ts by attaching the compliances (or spring) at the prismatic joints of the griven mechainsm. First, the kinematic analysis for a parallel-type planar 3-degree-of-freedom mechanism is performed using modified transfer method of generalized coordinate. Then, compliance characteristics for the mechanism using prismatic joint compliances are investigated. In particular, when the system maintains its symmetric configuration, the mechanism is show n to have RCC points at the center of the workspace. Finally, sensitivity analysis around RCC points is perfor med.

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Study on Generation of Harmonic Voltage using Synchronous Machine with d-axis and q-axis Harmonic Field Windings

  • Mukai, Eiichi;Kakinoki, Toshio;Yamaguchi, Hitoshi;Kimura, Yoshimasa;Fukai, Sumio
    • Journal of international Conference on Electrical Machines and Systems
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    • 제2권3호
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    • pp.254-259
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    • 2013
  • We examined the generation of harmonic voltage by a synchronous machine adding d-axis and q-axis harmonic field windings in order to reduce the harmonics in a power line. We derived the expressions of the armature voltage in the case of supplying the currents with the frequency nf to the d-axis and q-axis harmonic field windings. We constructed the synchronous machine adding the harmonic windings. In this paper, the expressions and the experimental results on the generation of harmonic voltages by the synchronous machine are presented.

선박의 접지 시스템에서 지락 고장에 따른 대지 전압 변동 특성 (Characteristics of loci on Line-to-Earth Voltage according to Earth Fault in Earthing System for Ships)

  • 김종필;류기탁;이윤형
    • 한국산학기술학회논문지
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    • 제22권2호
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    • pp.487-495
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    • 2021
  • 선박에서 주로 사용하는 전압은 450[V], 6.6[kV], 11[kV]이며, 운항 중 전력계통의 안정성 확보를 위해 접지 시스템이 적용된다. 일반적으로 450[V]를 사용하는 저전압 선박은 비접지 시스템을 6.6[kV], 11[kV]를 사용하는 고전압 선박은 고저항 접지 시스템을 적용한다. 선박의 전력계통에서 지락 고장이 발생하면 건전상의 대지 전압이 선간전압 또는 그 이상으로 증가하고, 케이블의 절연에 과도한 충격을 주게 되므로 이를 분석하는 것은 매우 중요한 부분이다. 따라서 본 논문에서는 선박에서 주로 채택하고 있는 고저항 접지 및 비접지 시스템에 대해 지락 고장에 따른 선박 전력계통의 대지 전압의 변동 특성과 고장 상의 판단 방법을 대칭 좌표법을 이용하여 분석하고자 한다. 이를 위해 대칭 좌표법을 이용하여 대지 전압의 수학적 모델을 유도하고, 시뮬레이션을 위한 선박 전압은 6.6[kV]와 450[V]로 선정하였다. MATLAB을 이용한 시뮬레이션 결과 두 접지 시스템 모두 지락상 보다 위상이 120° 앞선 상의 대지 전압이 가장 높게 상승하였고, 이를 이용하여 고장 상을 정확하게 판단할 수 있음을 확인하였다.