• Title/Summary/Keyword: Matrix Rotation

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Development of the Nonlinear Structural Analysis Model for the Light-Weight Framed Structures (II) (경량형강 시설물의 비선형 구조해석 모델개발(II) -반강결 뼈대구조물의 해석에 대하여-)

  • 김한중;이정재
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.40 no.1
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    • pp.78-87
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    • 1998
  • In this study, semi-rigid light-weight framed structures analysis model (SERIFS) was developed by advancing the LEIFS model. This model enables us to analyze simultaneous effects of large deflection and semi-rigid connection by computing unbalanced load occurring in the process of repeated loading through equalization of bending moments and torsion. This model is also able to handle the effect of the semi-rigid connection and large deflection by modifying the elastic stiffness matrix using moment-rotation behavior of connection. Moment-rotation behavior of the semi-rigid connection was adopted from the experimental results of load-vertical displacement of frame element In conclusion, this model achieves to analyze the nonlinear and large deflection behavior on the semi-rigid and light-weight steel frame connection.

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Mode Conversion in Magneto-Optic Thin-Film Waveguides (광도파관에서 자성박막에 의한 모드 변환)

  • 정상구;임한주
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.20 no.6
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    • pp.52-57
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    • 1983
  • We report a theoretical study on wave propagation in magneto-optic thin-film waveguides. The field distribution and phase velocity of the guided hybrid modes are analyzed in terms of the phase difference of basic system modes and the Faraday rotation of the magneto-optic thin film. Splitting of the phase constant curves due to the F araday rotation is discussed. The present hybridmode analysis leads to a conversion matrix which shows that the distance dependence of the mode conversion in the guide is different from that in the bulk medium.

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Flexure Error Analysis of RLG based INS (링레이저 자이로 관성항법시스템의 편향 오차 해석)

  • Kim Kwang-Jin;Yu Myeong-Jong;Park Chan-Gook
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.6
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    • pp.608-613
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    • 2006
  • Any input acceleration that bends RLG dithering axis causes flexure error, which is a source of the noncommutative error that can not be compensated by simply using integrated gyro sensor output. This paper introduces noncommutative error equations that define attitude errors caused by flexure errors. In this paper, flexure error is classified as sensor level error if the sensing axis coincides with the dithering axis and as system level error if the two axes do not coincide. The relationship between gyro output and the rotation vector is introduced and is used to define the coordinate transformation matrix and angular motion. Equations are derived for both sensor level and system level flexure error analysis. These equations show that RLG based INS attitude error caused by flexure is directly proportional to time, amount of input acceleration and the dynamic frequency of the vehicle.

A Theoretical Study on Free Gyrocompass

  • Park, Sok-Chu;Jeong, Tae-Gweon
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.9-14
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    • 2006
  • The authors aim to establish the theory necessary for developing the free gyrocompass. The following considerations are taken. One is to suggest north-finding principle by the angular velocity of the earth's rotation, and the other is to suggest that the motion rate of the spin axis in the free gyro frame is transformed into the platform fame and this transformed rate is again transformed into the NED navigation frame. After transformation ship's heading is obtained using the fore-aft and athwartship components of the motion rate of the spin axis in the NED frame In addition it was suggested how to solve the transformation matrix necessary for transforming each frame.

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A Study on the Pseudoinverse Kinematic Motion Control of 6-Axis Arc Welding Robot (6축 아크 용접 로보트의 의사 역기구학적 동작 제어에 관한 연구)

  • Choi, Jin-Seob;Kim, Dong-Won;Yang, Sung-Mo
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.2
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    • pp.170-177
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    • 1993
  • In robotic arc welding, the roll (rotation) of the torch about its direction vector does not have any effect on the welding operation. Thus we could use this redundant degree of greedom for the motion control of the robot manipulator. This paper presents an algorithm for the pseudo- inverse kinematic motion control of the 6-axis robot, which utilizes the above mentioned redunancy. The prototype welding operation and the tool path are also graphically simulated. Since the proposed algorithm requires only the position and normal vector of the weldine as an input data, it is useful for the CAD-based off-line programming of the arc welding robot. In addition, it also has the advantages of the redundant manipulator motion control, like singularity avoidance and collision free motion planning, when compared with the other motion control method based on the direct inverse kinematics.

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Interference Cancellation for QO-STBC with EVD (EVD기법을 이용한 QO-STBC의 간섭 제거)

  • Kim, Dong Jin
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.6
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    • pp.46-52
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    • 2016
  • Quasi-Orthogonal STBC (QO-STBC) scheme is proposed conventionally achieving approximate full rate and full diversity in more than 3 transmit antenna and open-loop environmen.. But, conventional QO-STBC has disadvantage that performance degradation by interference terms of detection matrix and high decoding complexity. Recently, this interference cancellation scheme of low decoding complexity by multiplying specific rotation matrix is proposed. We propose more general interference cancellation scheme by using EVD(Eigenvalue Decompostion).

Buckling of thin-walled members analyzed by Mindlin-Reissner finite strip

  • Cuong, Bui H.
    • Structural Engineering and Mechanics
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    • v.48 no.1
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    • pp.77-91
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    • 2013
  • The paper presents the formulation of 3-nodal line semi-analytical Mindlin-Reissner finite strip in the buckling analysis of thin-walled members, which are subjected to arbitrary loads. The finite strip is simply supported in two opposite edges. The general loading and in-plane rotation techniques are used to develop this finite strip. The linear stiffness matrix and the geometric stiffness matrix of the finite strip are given in explicit forms. To validate the proposed model and study its performance, numerical examples of some thin-walled sections have been performed and the results obtained have been compared with finite element models and the published ones.

Collapse Behavior of Vehicle Structures (처체구조물의 붕괴거동)

  • 김천욱;한병기;원종진;이종선
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.3
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    • pp.54-62
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    • 1998
  • In this study, collapse behavior of frame composed of thin-walled rectangular tube is investigated. Considering the collapse of frame, the bending and compression members undergo large deformation. The stiffness of the compound element is obtained from analytical moment-rotation relationship and approximated load-deflection relationsh- ip of thin-walled rectangular tube. A computer program is developed for the large deformation analysis of frame. An incremental displacement method is used in the program and at each incremental stage, the stiffness matrix of the total structure is checked with the state of each element for bending and compression.

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Novel Calibration Method for the Multi-Camera Measurement System

  • Wang, Xinlei
    • Journal of the Optical Society of Korea
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    • v.18 no.6
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    • pp.746-752
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    • 2014
  • In a multi-camera measurement system, the determination of the external parameters is one of the vital tasks, referred to as the calibration of the system. In this paper, a new geometrical calibration method, which is based on the theory of the vanishing line, is proposed. Using a planar target with three equally spaced parallel lines, the normal vector of the target plane can be confirmed easily in every camera coordinate system of the measurement system. By moving the target into more than two different positions, the rotation matrix can be determined from related theory, i.e., the expression of the same vector in different coordinate systems. Moreover, the translation matrix can be derived from the known distance between the adjacent parallel lines. In this paper, the main factors effecting the calibration are analyzed. Simulations show that the proposed method achieves robustness and accuracy. Experimental results show that the calibration can reach 1.25 mm with the range about 0.5m. Furthermore, this calibration method also can be used for auto-calibration of the multi-camera mefasurement system as the feature of parallels exists widely.

Design of a Multiobjective Robust Controller for the Track-Following System of an Optical Disk Drive (광 디스크 드라이브의 트랙킹 서보 시스템을 위한 다목적 강인 제어기의 설계)

  • 이문노;문정호;정명진
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.5
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    • pp.592-599
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    • 1998
  • In this paper, we design a tracking controller which satisfies transient response specifications and maintains tracking error within a tolerable limit for the uncertain track-following system of an optical disk drive. To this end, a robust $H_{\infty}$ control problem with regional stability constraints and sinusoidal disturbance rejection is considered. The internal model principle is used for rejecting the sinusoidal disturbance caused by eccentric rotation of the disk. We show that a condition satisfying the regional stability constraints can be expressed in terms of a linear matrix inequality (LMI) using the Lyapunov theory and S-procedure. Finally, a tracking controller is obtained by solving an LMI optimization problem involving two linear matrix inequalities. The proposed controller design method is evaluated through an experiment.

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