• Title/Summary/Keyword: Transformation Technique

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A Systematic Formulation for Dynamics of Flexible Multibody Systems (탄성 다물체계의 체계적인 동역학적 해석)

  • 이병훈;유완석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.10
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    • pp.2483-2490
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    • 1993
  • This paper presents a systematic formulation for the kinematic and dynamic analysis of flexible multibody systems. The system equations of motion are derived in terms of relative and elastic coordinates using velocity transformation technique. The position transformation equations that relate the relative and elastic coordinates to the Cartesian coordinates for the two contiguous flexible bodies are derived. The velocity transformation matrix is derived systematically corresponding to the type of kinematic joints connecting the bodies and system path matrix. This matrix is employed to represent the equations of motion in relative coordinate space. Two examples are taken to test the method developed here.

Buckling of fully and partially embedded non-prismatic columns using differential quadrature and differential transformation methods

  • Rajasekaran, S.
    • Structural Engineering and Mechanics
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    • v.28 no.2
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    • pp.221-238
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    • 2008
  • Numerical solution to buckling analysis of beams and columns are obtained by the method of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for various support conditions considering the variation of flexural rigidity. The solution technique is applied to find the buckling load of fully or partially embedded columns such as piles. A simple semi- inverse method of DQ or HDQ is proposed for determining the flexural rigidities at various sections of non-prismatic column ( pile) partially and fully embedded given the buckling load, buckled shape and sub-grade reaction of the soil. The obtained results are compared with the existing solutions available from other numerical methods and analytical results. In addition, this paper also uses a recently developed technique, known as the differential transformation (DT) to determine the critical buckling load of fully or partially supported heavy prismatic piles as well as fully supported non-prismatic piles. In solving the problem, governing differential equation is converted to algebraic equations using differential transformation methods (DT) which must be solved together with applied boundary conditions. The symbolic programming package, Mathematica is ideally suitable to solve such recursive equations by considering fairly large number of terms.

A Study on AC Machine Modeling using Complex Vector and dq Transformation (복소 벡터와 dq 변환을 이용한 교류기 모델링에 관한 연구)

  • Hong, Sun-Ki;Park, Jin-Ho
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.11
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    • pp.1601-1605
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    • 2012
  • Three-phase voltage and current is applied to the three-phase alternating current motors which are commonly used in industry. Three phase variables of a, b, c are converted into d, q, 0 axis and the AC machines are modeled and analyzed. Basically the coordinate transformation or d-q transformation is used for convenience, a few steps are needed to analyze the motor performances - separating d and q components, establishing each equivalent circuit, and solving the differential equations of the circuits. In this study, a modeling technique of induction motor using complex vector is proposed and it can explain the induction motor physically. This method does not need the separating process of d and q components. With this technique, the model becomes simple, is easy to understand in physical, and can get the same results with those from the other models. These simulation results of the proposed model are compared with them for the conformation of the proposed method.

Inverse Dynamic Analysis of Mechanical Systems Using the Velocity Transformation Technique (속도변환기법을 이용한 기계시스템의 역동학적 해석)

  • Lee, Byeong-Hun;Yang, Jin-Saeng;Jeon, U-Seong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.12
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    • pp.3741-3747
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    • 1996
  • This paper presents a method for the inverse dynamic anlaysis of mechanical systems. Actuating forces(or torques) depending on the driving constraints are analyzed in the relative coordinate space using the velocity transformation technique. A systematic method to compose the inverse velocity transformation matrix, which is used to determine the joint reaction forces, is proposed. Two examples are taken to verify the method developed here.

Sub-sampling Technique to Improve the Measurement Speed of White Light Scanning Interferometry (백색광 주사 간섭계의 측정 속도 개선을 위한 서브 샘플링 기법 연구)

  • Chyun, In-Bum;Joo, Ki-Nam
    • Journal of the Korean Society for Precision Engineering
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    • v.31 no.11
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    • pp.999-1006
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    • 2014
  • In this investigation, we explain the sub-sampling technique of white light scanning interferometry (WLSI) to improve the measurement speed. In addition to the previous work using Fourier domain analysis, several methods to extract the height from the correlogram of WLSI are described with the sub-sampling technique. Especially, Fourier-inverse Fourier transformation method adopting sub-sampling technique is proposed and the phase compensation technique is verified with simulation and experiments. The main advantage of sub-sampling is to speed up the measurements of WLSI but the precision such as repeatability is slightly poor. In case of measuring the sample which has high height step or difference, the proposed technique can be widely used to reduce the measurement time.

Free Vibration Analysis of Solid and Annular Circular Membranes with Continuously Varying Density Using The Differential Transformation Method

  • Shin, Young-Jae;Yun, Jong-Hak;Jaun, Su-Ju;You, Young-chan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.988-993
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    • 2003
  • This paper presents the application of the technique of differential transformation of free vibration of membrane. Numerical calculations are carried out and compared with previously published results. The results obtained by the present method agree very well with those reported in the previous works. The present analysis shows the usefulness and validity of differential transformation in solving a solid and annular circular membranes problem of the responses of the free vibration.

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A NEW DETAIL EXTRACTION TECHNIQUE FOR VIDEO SEQUENCE CODING USING MORPHOLOGICAL LAPLACIAN OPERATOR (수리형태학적 Laplacian 연산을 이용한 새로운 동영상 Detail 추출 방법)

  • Eo, Jin-Woo;Kim, Hui-Jun
    • Journal of IKEEE
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    • v.4 no.2 s.7
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    • pp.288-294
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    • 2000
  • In this paper, an efficient detail extraction technique for a progressive coding scheme is proposed. The existing technique using the top-hat transformation yields an efficient extraction scheme for isolated and visually important details, but yields an inefficient results containing significant redundancy extracting the contour information. The proposed technique using the strong edge feature extraction property of the morphological Laplacian in this paper can reduce the redundancy, and thus provides lower bit-rate. Experimental results show that the proposed technique is more efficient than the existing one, and promise the applicability of the morphological Laplacian operator.

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A COMPLEXITY-REDUCED INTERPOLATION ALGORITHM FOR SOFT-DECISION DECODING OF REED-SOLOMON CODES

  • Lee, Kwankyu
    • Journal of applied mathematics & informatics
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    • v.31 no.5_6
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    • pp.785-794
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    • 2013
  • Soon after Lee and O'Sullivan proposed a new interpolation algorithm for algebraic soft-decision decoding of Reed-Solomon codes, there have been some attempts to apply a coordinate transformation technique to the new algorithm, with a remarkable complexity reducing effect. In this paper, a conceptually simple way of applying the transformation technique to the interpolation algorithm is proposed.

Structural Improvement of Extended Kalman Filter using Coordinate Transformation (좌표 변환을 이용한 확장 칼만 필터의 구조적 개선)

  • Yun, Kang-Sup;Kim, Jong-Hwa;Hwang, Chang-Sun;Lee, Man-Hyung
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.905-908
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    • 1988
  • In recent, Kalman filter technique has been much used as one of technique for tracking of the moving target. But some problem are still remained to be resolved. For example, when Kalman filter technique is applied to nonlinear system, the technique is nonoptimal estimator. Therefore, extended Kalman filter is proposed to reduce modeling error for nonlinear system. In this study, an extended Kalman filter in Cartesian coordinates is described for moving target, when the radar sensor measures range, azimuth and elevation angle in polar coordinates. And an approximate gain computation algorithm is proposed. In this approach, Kalman gains are computed for three uncoupled filter and multiplied by a Jacobian transformation determined from the measured target position and orientation.

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