• 제목/요약/키워드: Coordinates transformation

검색결과 273건 처리시간 0.022초

Dynamic Analysis of a Chain of Rigid Rods

  • Attia, Hazem Ali
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제8권2호
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    • pp.75-86
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    • 2004
  • In this study, a recursive algorithm for generating the equations of motion of a chain of rigid rods is presented. The methods rests upon the idea of replacing the rigid body by a dynamically equivalent constrained system of particles. The concepts of linear and angular momentums are used to generate the rigid body equations of motion without either introducing any rotational coordinates or the corresponding transformation matrices. For open-chain, the equations of motion are generated recursively along the serial chains. For closed-chain, the system is transformed to open-chain by cutting suitable kinematic joints with the addition of cut-joints kinematic constraints. An example of a closed-chain of rigid rods is chosen to demonstrate the generality and simplicity of the proposed method.

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Simple geometrical model to analyze the motion detection of bridges based-GPS technique: case study Yonghe Bridge

  • Kaloop, Mosbeh R.;Li, Hui
    • Structural Engineering and Mechanics
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    • 제36권2호
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    • pp.129-147
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    • 2010
  • This study deals with the viability of using a designed geometrical model consists of plane, polar coordinates (PC) and span length in the determination of bridges deformation. The data of a Tianjin Yonghe bridge located in the southern part of China as collected by RTK-DGPS technique and Accelerometer were used in the analysis. Kalman filter and fast Fourier transformation (FFT) analyses were used to determine the frequency. The results indicate that the designed plane and PC geometrical model are easy to calculate the long-time structural deformation monitoring. In addition, the observed frequency using GPS with the rate of 20 Hz doesn't give correction natural frequency of the observation structures.

직교회전기법에 의한 다차원자료 포지셔닝의 최적화방법 (On an optimum positioning of multivariate data using an orthogonal rotation technique)

  • 유희경;최신형
    • 한국산학기술학회논문지
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    • 제11권6호
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    • pp.2054-2061
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    • 2010
  • 본 논문에서는 최적 포지셔닝을 정의하고, 직교변환행렬을 이용하여 포지셔닝의 축을 직교회전 시키는 방법을 제시하고, 최적 포지셔닝 구현을 위한 최적의 회전 각도를 찾아, 궁극적으로는 최적 포지셔닝을 구현하는데 그 목 적이 있다. 또한 최적의 회전 각도를 찾는 최적화 각도 알고리즘을 제안한다.

방사왜곡을 고려한 보정 영상 위최근접 화소 이용 보간법 (An Interpolation Method for a Barrel Distortion Using Nearest Pixels on a Corrected Image)

  • 최창원;이준환
    • 전자공학회논문지
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    • 제50권7호
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    • pp.181-190
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    • 2013
  • 본 논문에서는 어안렌즈의 방사왜곡을 고려한 개선된 양선형 보간법을 제안한다. 어안렌즈에서 발생하는 방사왜곡의 보정은 크게 좌표 변환과 보간 작업의 두 단계를 통해 진행된다. 본 논문은 방사왜곡을 고려한 보간법에 대한 연구이다. 기존 기술과 달리 왜곡 영상이 아닌 보정 영상에서 근접한 좌표 4개를 사용한 보간법을 제안한다. 실험결과는 주관적인 화질과 객관적인 화질(PSNR)이 향상되는 것을 보여준다.

스트랩다운 관성항법장치의 초기정렬 전달 칼만필터 설계 (Design of the kalman filter for transfer alignment of strapdown inertial navigation system)

  • 정태호;송기원;전창배;유준
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.142-146
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    • 1991
  • In order to develope transfer alignment algorithm which achieves accurate initial alignment of slave strapdown inertial navigation system(SDINS) of a missle using master SDINS of mobile launchers third-order suboptimal filter is constructed to estimate the transformation matrix between two SDINS coordinates. In Kalman Filter formulation, the measurement equation uses that of accelerometer when stationary, and is replaced by that of gyroscope when elevating the missle. This switching method is applied to increase the degree of observability and to remove the error generated by lever arm effect. Simulation results show that the azimuth transfer error is about 0.3 mrad, and confirm that this scheme has a potential for real application.

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Dynamics of the Macpherson Strut Motor-Vehicle Suspension System in Point and Joint Coordinates

  • Attia, Hazem-Ali
    • Journal of Mechanical Science and Technology
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    • 제17권9호
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    • pp.1287-1296
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    • 2003
  • In this paper the dynamic analysis of the Macpherson strut motor-vehicle suspension system is presented. The equations of motion are formulated using a two-step transformation. Initially, the equations of motion are derived for a dynamically equivalent constrained system of particles that replaces the rigid bodies by applying Newton's second law The equations of motion are then transformed to a reduced set in terms of the relative joint variables. Use of both Cartesian and joint variables produces an efficient set of equations without loss of generality For open chains, this process automatically eliminates all of the non-working constraint forces and leads to an efficient solution and integration of the equations of motion. For closed loops, suitable joints should be cut and few cut-joints constraint equations should be included for each closed chain. The chosen suspension includes open and closed loops with quarter-car model. The results of the simulation indicate the simplicity and generality of the dynamic formulation.

A Computer Method for the Dynamic Analysis of a System of Rigid Bodies in Plane Motion

  • Attia, Hazem-Ali
    • Journal of Mechanical Science and Technology
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    • 제18권2호
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    • pp.193-202
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    • 2004
  • This paper presents a computer method for the dynamic analysis of a system of rigid bodies in plane motion. The formulation rests upon the idea of replacing a rigid body by a dynamically equivalent constrained system of particles. Newton's second law is applied to study the motion of the resulting system of particles without introducing any rotational coordinates. A velocity transformation is used to transform the equations of motion to a reduced set. For an open-chain, this process automatically eliminates all of the non-working constraint forces and leads to an efficient integration of the equations of motion. For a closed-chain, suitable joints should be cut and few cut-joints constraint equations should be included. An example of a closed-chain is used to demonstrate the generality and efficiency of the proposed method.

Computational Method for Dynamic Analysis of Constrained Mechanical Systems Using Partial Velocity Matrix Transformation

  • Park, Jung-Hun;Yoo, Hong-Hee;Hwang, Yo-Ha
    • Journal of Mechanical Science and Technology
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    • 제14권2호
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    • pp.159-167
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    • 2000
  • A computational method for the dynamic analysis of a constrained mechanical system is presented in this paper. The partial velocity matrix, which is the null space of the Jacobian of the constraint equations, is used as the key ingredient for the derivation of reduced equations of motion. The acceleration constraint equations are solved simultaneously with the equations of motion. Thus, the total number of equations to be integrated is equivalent to that of the pseudo generalized coordinates, which denote all the variables employed to describe the configuration of the system of concern. Two well-known conventional methods are briefly introduced and compared with the present method. Three numerical examples are solved to demonstrate the solution accuracy, the computational efficiency, and the numerical stability of the present method.

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CAD/CAM을 활용한 기계설계 및 2.5축 복합가공에 대한 연구 (A Study on the Mechanical Design and the 2.5-axial Combined Machining by CAD/CAM)

  • 이양창
    • 한국공작기계학회논문집
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    • 제17권6호
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    • pp.97-103
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    • 2008
  • In this paper, the Post Process for the manifold complex processing using CAD/CAM Software of two and a half Dimensions(2.5D) has been developed to maximize the application of the manifold manufacturing machine. Many companies are currently making use of high price systems to improve manufacturing process using the multi-axial complex manufacturing machine. In accordance with the requirements, the utilization of CAD/CAM Software for the manifold complex manufacturing machine is earnestly demanded. However, the experts who have experience in manifold manufacturing machine are insufficient. Consequently the outcomes of the Post Process for 2.5D CAD/CAM Systems have been dealt in order to be smoothly operated by those who have basic skills and be understood in process drawings. CNC program functions can be specially used as they are, when drawn up. The Post Process for the original point designation and transformation of coordinates has been developed and applied. The results gave proof of practical manufacturing outcomes.

A FACE IMAGE GENERATION SYSTEM FOR TRANSFORMING THREE DIMENSIONS OF HIGHER-ORDER IMPRESSION

  • Ishi, Hanae;Sakuta, Yuiko;Akamatsu, Shigeru;Gyoba, Jiro
    • 한국방송∙미디어공학회:학술대회논문집
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    • 한국방송공학회 2009년도 IWAIT
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    • pp.703-708
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    • 2009
  • The present paper describes the application of an improved impression transfer vector method (Sakurai et al., 2007) to transform the three basic dimensions (Evaluation, Activity, and Potency) of higher-order impression. First, a set of shapes and surface textures of faces was represented by multi-dimensional vectors. Second, the variation among faces was coded in reduced parameters derived by applying principal component analysis. Third, a facial attribute along a given impression dimension was analyzed to select discriminative parameters from among principal components with higher sensitivity to impressions, and obtain an impression transfer vector. Finally, the parametric coordinates were changed by adding or subtracting the impression transfer vector and the image was manipulated so that its facial appearance clearly exhibits the transformed impression. A psychological rating experiment confirmed that the impression transfer vector modulated three dimensions of higher-order impression. We discussed the versatility of the impression transfer vector method.

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