• Title/Summary/Keyword: COORDINATE

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On the Modeling of Dynamic Systems

  • Suk, Jinyoung;Kim, Youdan
    • International Journal of Aeronautical and Space Sciences
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    • v.2 no.1
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    • pp.78-92
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    • 2001
  • In this paper, several dynamic systems are modeled using the time domain finite element method. Galerkins' Weak Principle is used to model the general second-order mechanical system, and is applied to a simple pendulum dynamics. Problems caused by approximating the final momentum are also investigated. Extending the research, some dynamic analysis methods are suggested for the hybrid coordinate systems that have both slew and flexible modes. The proposed methods are based on both Extended Hamilton's Principle and Galerkin's Weak Principle. The matrix wave equation is propagated in space domain, satisfying the geometric/natural boundary conditions. As a result, the flexible motion can be obtained compatible with the applied control input. Numerical example is shown to demonstrate the effectiveness of the proposed modeling methods for the hybrid coordinate systems.

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Free Vibration Analysis of Rectangular Plate with Multiple Rectangular Cutouts by Independent Coordinate Coupling Method (독립좌표연성법을 이용한 여러 개의 직사각형 구멍을 갖는 직사각형 평판의 자유진동해석)

  • Kwak, Moon-K.;Song, Myung-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.9
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    • pp.881-887
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    • 2007
  • This paper is concerned with the vibration analysis of a rectangular plate with multiple rectangular holes. Even though there have been many methods developed for the addressed problem, they suffer from computational time. In this paper, we applied the Independent Coordinate Coupling Method(ICCM) to the addressed problem, which was developed to compute natural vibration characteristics of the rectangular plate with a rectangular hole and proven to be computationally effective. The ICCM is based on Rayleigh-Ritz method but utilizes independent coordinates for each hole domain. By matching the deflection conditions for each hole imposed on the expressions, we can easily derive the reduced mass and stiffness matrices. The resulting equation is then used for the calculation of the eigenvalue problem. The numerical results show the efficacy of the Independent Coordinate Coupling Method.

An Uncertainty Analysis of a Compensation Method for the Positioning Error of Three-DOF Manipulator (3 자유도 위치 결정 기구의 위치 오차 평가 및 보정법에 대한 불확도 분석)

  • Park Jae-Jun;Eom Hyung-Wook;Cho Nahm-Gyoo
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.7 s.184
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    • pp.51-58
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    • 2006
  • This study analyzes the uncertainty of the compensation method of a sensing error of three-DOF measuring system. This compensation method utilizes a reference coordinate system using a three point by moving a position of an endpoint of a three-DOF manipulator. The coordinate transformation between the three-DOF manipulator and the measuring system is identified by the reference coordinate system. According to the concept of this compensation method, each positioning error at any position of the end-point of the manipulator is derived. Uncertainty analyses of the compensation values on the basis of sensitivity analysis and Monte Carlo simulation are used to investigate a feasibility and effectiveness of the compensation method.

KOMPSAT EOC Grid Reference System

  • Kim, Youn-Soo;Kim, Yong-Seung;Benton, William
    • Proceedings of the KSRS Conference
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    • 1998.09a
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    • pp.349-354
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    • 1998
  • The grid reference system (GRS) has been useful for identifying the geographical location of satellite images. In this study we derive a GRS for the KOMPSAT Electro-Optical Camera (EOC) images. The derivation substantially follows the way that SPOT defines for its GRS, but incorporates the KOMPSAT orbital characteristics. The KOMPSAT EOC GRS (KEGRS) is designed to be a (K,J) coordinate system. The K coordinate parallel to the KOMPSAT ground track denotes the relative longitudinal position and the J coordinate represents the relative latitudinal position. The numbering of K begins with the prime meridian of K=1 with K increasing eastward, and the numbering of J uses a fixed value of J=500 at all center points on the equator with J increasing northward. The lateral and vertical intervals of grids are determined to be 12.5 km about at the 38$^{\circ}$ latitude to allow some margins for the value-added processing. The above design factors are being implemented in a satellite programming module of the KOMPSAT Receiving and Processing System (KRPS) to facilitate the EOC data collection planning over the Korean peninsula.

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Free Vibration Analysis of Rectangular Plate with a Rectangular Cutout by Independent Coordinate Coupling Method (독립좌표연성법을 이용한 직사각형 구멍을 갖는 직사각형 평판의 자유진동해석)

  • Kwak, Moon K.;Han, Sangbo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.12 s.105
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    • pp.1398-1407
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    • 2005
  • This paper is concerned with the vibration analysis of a rectangular plate with a rectangular hole. Even though there have been many methods developed for the addressed problem, they suffer from computational time. In this paper, we developed a new methodology called Independent Coordinate Coupling Method which can couple two independent coordinate systems for the entire plate domain and the hole. By matching the deflection condition imposed on the expressions, the relationship between the global axes and the local axes is derived. This formula is then used for the calculation of the eigenvalue problem. The numerical results show the efficacy of the proposed method.

A Gemetric Kinematic Analysis of Constrained Multibody System (구속된 다물체 시스템을 위한 기하학적 운동구속론)

  • 김재용;배대성;한창수;이상호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.2 no.4
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    • pp.80-90
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    • 1994
  • Basic constraint equations derived from orthogonality conditions between a pair of body-fixed vectors and a body-fixed vector or a vector between two bodies are reformulated by using relative coordinate kinematics between two adjacent reference frames. Arithmetic numbers of operations required to compute derivatives of the constraint equations are drastically reduced. A mixed formulation of relative and cartesian coordinates is developed to further simplify derivatives of the constraints. Advantages and disadvantages of the new formulation are discussed. Possible singularity problem of para llelism constraints is resolved by introducing an extra generalized coordinate. Kinematic analysis of a McPherson strut suspension system are carried out to illustrate use and efficiency of the new formulation.

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Bundle Adjustment of Aerial Photographs using GCP Image Chip (영상칩 지상기준점을 이용한 항공사진 번들조정)

  • 김기홍;손홍규;김호성;백종하;이재원
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2004.11a
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    • pp.239-243
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    • 2004
  • Recently various thematic maps and image maps using aerial photograph and satellite imagery are frequently made. The geo-referencing is essential to make image map and topographic map using aerial photograph and satellite imagery. For this geo-referencing, Ground Control Points (GCPs) are needed. In this paper, we used GPS relative positioning to measure GCP ground coordinate and the accuracy of 8cm level was achieved. We made GCP image chips for the efficiency of geo-referencing and carried out the bundle adjustment of aerial photographs using GCP image chips to acquire the GCP photo coordinate with image matching technique. Finally we analyzed the accuracy of bundle adjustment compared to the accuracy of the case in using digital maps to acquire GCP photo coordinate.

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A Formulation of the Differential Equation on the Equations of Motion and Dynamic Analysis for the Constrained Multibody Systems (구속된 다물체 시스템에 대한 운동 방정식의 미분 방정식화 및 동역학 해석)

  • 이동찬;이상호;한창수
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.1
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    • pp.154-161
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    • 1997
  • This paper presents the method to eliminate the constraint reaction in the Lagrange multiplier form equation of motion by using a generalized coordinate driveder from the velocity constraint equation. This method introduces a matrix method by considering the m dimensional space spanned by the rows of the constraint jacobian matrix. The orthogonal vectors defining the constraint manifold are projected to null vectors by the tangential vectors defined on the constraint manifold. Therefore the orthogonal projection matrix is defined by the tangential vectors. For correcting the generalized position coordinate, the optimization problem is formulated. And this correction process is analyzed by the quasi Newton method. Finally this method is verified through 3 dimensional vehicle model.

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Global Coordinate Extraction of IC Chip Pattern using Vertex-Form Matching (꼭지점 형태 정합을 이용한 집적회로 패턴의 전체 좌표 추출)

  • Ahn, Hyun-Sik;Lee, Wang-Goog;Cho, Seok-Je;Ha, Yeong-Ho
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.553-556
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    • 1988
  • Recognition of IC chip pattern requires extraction of features, which have the information of vertex position and orientation. Edges are extracted and straightening algorithm is applied to the edges, so that lines are obtained. With these extracted data, the coordinate and orientation of all vertices are extracted and vertex-form matching is applied to the locally overlapped area of neighborhood frames to have global coordinate of IC chip.

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A Case Study on the Compatibility Analysis of Measurement Systems in Automobile Body Assembly

  • Lee, Myung-Duk;Lim, Ik-Sung;Sung, Chun-Ja
    • International Journal of Reliability and Applications
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    • v.9 no.1
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    • pp.7-15
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    • 2008
  • The dimensional measurement equipment, such as Coordinate Measurement Machine (CMM), Optical Coordinate Measurement Machine (OCMM), and Checking Fixture (CF), take multiple dimensional measurements for each part in an automobile industry. Measurements are also recorded under different measurement systems to see if the responses differ significantly over these systems. Each measurement system (CMM, OCMM, and CF) will be considered as different treatments. This set-up provides massive amounts of process data which are multivariate in nature. Therefore, the multivariate statistical analysis is required to analyze data that are dependent on each other. This research provides step by step methodology for the evaluation procedure of the compatibility of measurement systems and clarify a systematic analyzation among the different measurement system's compatibility followed by number of case studies for each methodologies provided.

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