• 제목/요약/키워드: Three dimensional coordinates

검색결과 346건 처리시간 0.029초

직교 좌표계에 의한 정현형 수평 곡선보의 자유진동 해석 (Free Vibration Analysis of Horizontally Sinusoidal Curved Beams in Cartesian Coordinates)

  • Lee, Byoung-Koo;Lee, Tae-Eun;Kang, Hee-Jong;Kim, Kweon-Sik
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.11-16
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    • 2002
  • The differential equations governing free vibrations of the elastic, horizontally curved beams with unsymmetric axis are derived in Cartesian coordinates rather than in polar coordinates, in which the effect of torsional inertia is included. Frequencies are computed numerically for the sinusoidal curved beams with both clamped ends and both hinged ends. Comparisons of natural frequencies between this study and SAP 2000 are made to validate theories and numerical methods developed herein. The convergent efficiency is highly improved under the newly derived differential equations in Cartesian coordinates. The lowest four natural frequency parameters are reported, with and without torsional inertia, as functions of three non-dimensional system parameters: the horizontal rise to chord length ratio, the span length to chord length ratio, and the slenderness ratio.

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개선된 부가비례항법을 이용한 3차원 유도법칙의 구현 (The Realization of the Three Dimensional Guidance Law Using Modified Augmented Proportional Navigation)

  • 김용민;서진헌
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1995년도 추계학술대회 논문집 학회본부
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    • pp.222-224
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    • 1995
  • This paper deals with 3-dimensional missile guidance law. This presents the general optimal solution of the state equation which includes the target maneuvering as the Gauss-Markov processing. The main results ore about the transformation between the Cartesian coordinates on which both the guidance law and the filter are bused and the polar coordinates system in real missile guidance and measurement information. And the extended Kalman filter and adjustment of the estimated target acceleration by triangular functions is proposed solution to this transformation problem. It is shown that this proposed transformation is valid in real 3-dimensional guidance problem by the computer simulation.

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A GEOMETRIC APPROACH TO TIMELIKE FLOWS IN TERMS OF ANHOLONOMIC COORDINATES

  • Yavuz, Ayse;Erdogdu, Melek
    • 호남수학학술지
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    • 제44권2호
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    • pp.259-270
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    • 2022
  • This paper is devoted to the geometry of vector fields and timelike flows in terms of anholonomic coordinates in three dimensional Lorentzian space. We discuss eight parameters which are related by three partial differential equations. Then, it is seen that the curl of tangent vector field does not include any component in the direction of principal normal vector field. This implies the existence of a surface which contains both s - lines and b - lines. Moreover, we examine a normal congruence of timelike surfaces containing the s - lines and b - lines. Considering the compatibility conditions, we obtain the Gauss-Mainardi-Codazzi equations for this normal congruence of timelike surfaces in the case of the abnormality of normal vector field is zero. Intrinsic geometric properties of these normal congruence of timelike surfaces are obtained. We have dealt with important results on these geometric properties.

3차원 시선 추적에 의한 시각 제어 마우스 구현 연구 (Implementation of eye-controlled mouse by real-time tracking of the three dimensional eye-gazing point)

  • 김재한
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2006년도 춘계종합학술대회
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    • pp.209-212
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    • 2006
  • This paper presents design and implementation methods of the eye-controlled mouse using the real-time tracking of the three dimensional gazing point. The proposed method is based on three dimensional data processing of eye images in the 3D world coordinates. The system hardware consists of two conventional CCD cameras for acquisition of stereoscopic image and computer for processing. And in this paper, the advantages of the proposed algorithm and test results are described.

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하천흐름해석을 위한 상향가중의 3차원 유한요소모형 개발 (Development of Three-Dimensional Finite Element Model Using Upwind Weighting Scheme for River Flow)

  • 한건연;백창현;최승용
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2005년도 학술발표회 논문집
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    • pp.409-413
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    • 2005
  • Even though the relative importance of length scale of flow system allow us to simplify three dimensional flow problem to one or two dimensional representation, many systems still require three dimensional analysis. The objective of this study is to develop an efficient and accurate finite element model for analyzing and predicting three dimensional flow features in natural rivers and to offend to model spreading of pollutants and transport of sediments in the future. Firstly, three dimensional Reynolds averaged Navier-Stokes equations with the hydrostatic pressure assumption in generalized curvilinear coordinates were combined with the kinematic free-surface condition. Secondly. to simulate realistic high Reynolds number flow, the model employed the Streamline Upwind/Petrov-Galerkin(SU/PG) scheme as a weighting function for the finite element method in conjunction with an appropriate turbulence model(Smagorinsky scheme for the horizontal plain and Mellor-Yamada scheme for the vertical direction). Several tests is performed for the purpose of validation and verification of the developed model. A simple rectangular channel, 5-shaped and U-shaped channel are used for tests and comparisons are made with RMA-10 model. Runs for each case is converged stably without a oscillation and calculated water-surface deformation, longitudinal and transversal velocities, and velocity vector fields are in good agreement with the results of RMA-10 model.

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평면벽에 접한 구의 운동에 의한 3차원의 Potential 흐름 (Three-dimensional potential flow due to the montion of a sphere touching a plane wall)

  • 김문언
    • 대한기계학회논문집
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    • 제3권4호
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    • pp.181-184
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    • 1979
  • Three-dimensional potential flow due to the translation of a sphere touching a rigid plane wall or a free wall is investigated by use of tangent sphere coordinates. Exact expressions for the velocity potential are derived in integral formes. Added mass and lift force on the sphere are also calculated.

격자 무늬를 지닌 3차원 물체의 측정에 관한 연구 (A Study on the Measurement of an Object with Grid Pattern)

  • 안정호
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 춘계학술대회 논문집
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    • pp.485-489
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    • 1995
  • From the relationship between the two different views of an object with grid, the three dimensional coordinates of intersection points are determined. The images are captured and digitized with a CCD camera and a frame grabber. To find intersection points, local thresholding and line thinning operations are performed. By establishing the correspondence between the points in the two views, the three dimensional corrdinates of intersection points are calculated.

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UTM투영에 의한 Bessel과 WGS84 타원체간의 2차원 측지좌표변환 연구 (A Study on the Transformation of Two Dimensional Geodetic Coordinates between Bessel and WGS84 Ellipsoids by UTM Projection)

  • 이용창;강준묵
    • 한국측량학회지
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    • 제16권2호
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    • pp.149-158
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    • 1998
  • 본 연구에서는 GPS에 의한 2차원 실용좌표의 획득면에 중점을 두고 WGS84와 벳셀타원체간의 3차원 좌표변환에 필수요소인 지역지오이드고 모델없이 두 타원체간 투영좌표의 상호 변환모델식을 구성하여 점검점에 적용하고 실용성과와 비교 고찰하므로서 UTM투영좌표에 의한 타원체간 2차원 좌표변환의 산정법을 제시한 것이다. 인천시지역을 시험모델로 관내 11개 삼각점으로부터 상호변환계수를 도출하고 점검점인 15개 지적삼각점에 적용하여 양방향의 변환정밀도를 분석한 결과, 측지좌표의 경우 위도 및 경도성분에서 각각 $\pm0.006$초, $\pm0.013$초, 평면직교좌 표의 경우는 남북 및 동서방향에서 각각 $\pm{17cm}$$\pm{30.0cm}$의 표준편차로 변환할 수 있었다. 또한, 남한지역을 대상으로 한 광역망, 경인.충남지역의 지역망 및 인천지역의 국소망으로부터 3-매개변환, 7-매개변환 및 UTM좌표간 변환계수를 각각 산출하여 점검점에 적용하고 변환넓이에 따른 변환기법별 변환특성도 고찰하였다.

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드론을 활용한 3차원 DSM추출을 위한 연구 (A Study of Three Dimensional DSM Development using Self-Developed Drone)

  • 이병걸
    • 한국지구과학회지
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    • 제39권1호
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    • pp.46-52
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    • 2018
  • 이 논문은 자체 개발된 드론을 이용하여 사진측량기술을 적용하여 3차원 수치지표면모델(DSM)개발 연구를 수행하였다. 이 DSM을 개발하기 위하여 제주도 지역을 선정하여 24장의 사진을 개발된 드론으로 직접 촬영을 수행하였다. 촬영된 사진의 정확한 3차원 좌표를 부여하기 위하여, 10개의 지표기준점(GCP)점을 선정하여 상대측위 지구위치시스템(DGPS)측량을 실시하였다. 사진의 정확도를 평가하기 위하여 3개의 GCP점을 선정하여 사진상의 좌표와 지상점의 좌표의 정확도를 비교하였다. 사진좌표계과 지상좌표계의 정확도를 평가한 결과 수평오차는 8.8-14.7 cm로 나타났으며, 연직오차는 12.4 cm로 나타났다. 이 정확도는 국토지리정보원(NGII)이 인정하는 1/1,000 수치지도의 정확도를 가지는 측량결과이다. 이 연구를 통하여 본 연구에서 개발된 드론과 사진측량기법이 제주지역에서 우리가 원하는 DSM자료를 얻는데 유용한 기술임을 알 수 있었다.

Stereoscopic Operators and Their Application

  • Gruts, Yu.-N.;Son, Jung-Young;Kang, Dong-Hoon
    • Journal of the Optical Society of Korea
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    • 제5권3호
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    • pp.90-92
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    • 2001
  • Direct and inverse mathematical operators of stereo transformation (stereo operators) are studied in this paper. The stereo operators install a one-to-one correspondence between three dimensional coordinates of any point in space and the stereo coordinates which can be displayed on the screen under the given conditions, i.e. stereo vision base and the position of viewer. The stereo operators can be applied to the analyses of stereoscopic image distortions when the stereo vision base and the position of viewer are changed.