• Title/Summary/Keyword: 대수 방정식

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Dynamic analysis of electromechanical system (기전 시스템의 동역학 해석)

  • 김진식;박정훈;임홍재
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.1113-1118
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    • 2004
  • This paper presents the dynamic analysis method for an electromechanical system. The engineer has at his disposal a variety of software simulation tools. However, difficulties arise when the study of the behavior of complex electromechanical systems in combination with coupling element is required. Typical examples of such systems are machines for factory automation, home automation, and office automation. Dynamic systems analysis packages or electronic systems analysis packages offer the restrictive to simulate these mixed systems such electromechanical product. Electronic circuit analysis algorithm is easily incorporated into a multi-body dynamics analysis algorithm. The governing equation of electronic circuit is formulated as a differential algebraic equation form including both electrical and mechanical variables and is simultaneously solved in every time step. This analysis method clearly demonstrates the application potential for mixed electromechanical simulation.

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Analysis of stream-aquifer using nonlinear Boussinesq equation (비선형 Boussinesq방정식을 이용한 유로대수층 해석)

  • 정재성;김민환;방경미
    • Journal of Environmental Science International
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    • v.11 no.1
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    • pp.57-61
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    • 2002
  • To investigate the flow characteristics by the water stage variation between stream-aquifer, the new solution of nonlinear Boussinesq equation was derived and extended using the Boltzmann transformation. The soundness of the analytic solution obtained from this study was examined by the comparison with the linearized analytic solution and the numerical solution by finite difference method. And the movement, velocity, flowrate and volume of flow caused by the stage variation of stream and the existence of regional gradient were estimated. This new analytic solution can express the groundwater movement between stream-aquifer. So, it might be helpful to manage water environment.

Study on the Second Moment Turbulence Model in a Square Sectioned $180^{\circ}$ Bend (정사각단면을 갖는 $180^{\circ}$ 곡관내의 2차 모멘트 난류모형에 관한 연구)

  • 김명호;염성현;최영돈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.5
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    • pp.1203-1217
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    • 1994
  • In the present study, in order to analyze a turbulent flow in a square sectiond 180.deg. bend, Kim's low Reynolds number second moment turbulence closure is adopted. In this model, turbulence model constants in the wall region are modified as functions of turbulent Reynolds number by use of near wall turbulent universal properties based on Laufer's experimental results of Reynolds stress distriburions. Algebraic stress model and Reynolds stress equation model are used to verify the low Reynolds number second moment closure. The application of the present low Reynolds number algebraic stress model to the prediction of a square sectioned 180.deg. bend flow gives improved velocities and Reynolds stresses profiles compared with those obtained by using the van Driest mixing length model and present low Reynolds number Reynolds stress equation model.

Nonlinear Observer Design for Satellite Angular Rate Estimation by SDRE Method (SDRE 기법을 이용한 위성 각속도 추정용 비선형 관측기 설계)

  • Jin, Jaehyun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.42 no.10
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    • pp.816-822
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    • 2014
  • The estimation of the angular rate of a satellite has been discussed. A nonlinear observer has been proposed based on the state-dependent Riccati equation method. A sufficient stability condition for the convergence of estimation error has been presented. This condition is related to a state-dependent algebraic Riccati equation. It has been derived by transforming nonlinear error dynamics into a Lipschitz nonlinearity. An observer gain is obtained from this condition. Numerical simulations are presented to verify the proposed method.

A Study on the Improvement of Transient State of LQR Controller (LQR 제어기의 과도 상태 개선 방법에 관한 연구)

  • Park, Min-Ho;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 2004.07d
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    • pp.2239-2241
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    • 2004
  • 이 논문은 최적 제어 설계방법 중 하나인 LQR 제어기의 과도 상태를 개선하는 방법에 관한 연구이다. 적절한 상태가중행렬과 제어가중행렬을 설정한 후 대수 Riccati 방정식을 풀면 LQR 제어기가 설계된다. 그런데 이 가중행렬은 시행착오 방법을 이용하여 설정하기 때문에 설계된 제어기의 과도 상태를 개선하기 하기가 매우 어렵다. 이러한 문제점을 해결하기 위한 방법으로 closed-loop 근과 가중행렬과의 상관관계를 수학적으로 표현하고, 이를 바탕으로 설계조건을 만족하도록 시스템의 근을 이동시키는 가중행렬을 구하는 방법을 제시한다. 원운동형 도립진자(rotary type inverted pendulum)를 통해 matlab 모의실험으로 그 타당성을 검증한다. 얻어진 결과를 이용하면 원하는 극점을 갖는 LQR 제어기를 체계적으로 설계할 수 있다.

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Extensions of the solution region for a discrete algebraic riccati equation and its application to$H_{\infty}$ controller design (이산 대수 Rccati방정식의 해의 존재 영역 확장 및 $H_{\infty}$베어기 설계 응용)

  • 권욱현;박부견;김상우
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.461-466
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    • 1989
  • This paper describes some properties of a discrete algebraic Riccati equation and its application to $H^{\infty}$ control design. The conditions, under which an input weighting matrix can be found for a negative output weighting matrix in order that a solution P for a discrete algebraic equation may exist, are suggested in case of a stable A. This result is applied to a $H^{\infty}$ controller design for the special case of nonsingular B. It is based on a state feedback control law whose objective is to reduce the effect of input disterbances below a prespecified level. This law requires the solution of a modified algebraic Riccati equation, which provides an method for the $H^{\infty}$ optimization control problem approximately.ly.

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전산유체역학과 유한요소법

  • 손정락
    • Journal of the KSME
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    • v.29 no.4
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    • pp.403-413
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    • 1989
  • 유한요소법의 전산유체 역학분야에 대한 응용현황을 계산방법과 적용례를 중심으로 정리하였다. 유한요소법의 가장 큰 장점은 복잡한 유동영역을 해석하기 위한 불규칙 요소망(unstructured mesh)의 사용이라 볼 수 있으며 적응적 요소망을 이용하여 계산의 정확도를 높일 수 있는 것 또한 강점이라 할 수 있다. 다만 불규칙 요소망 사용으로 인해 수반되는 대수 방정식 계산시간 및 기억용량의 증가는 conjugate gradient 방법 등을 이용하여 반드시 해결되어야만 한다. 지금 까지 유한요소법을 이용한 계산방법을 개발해 오는 과정을 보면 유한차분법에서 오래 전에 개 발된 방법들을 도입한 경우가 많았으며 특히 난류 및 개발된 경우가 많으며 대부분의 경우 이 들을 그대로 도입, 이용하였다. 반대로 최근에 항공기 동체설계 분야를 중심으로 복잡한 형태의 유동영역을 해석이 요구되는 경우 유한차분법, 특히 유한체적법(finite volume method)에 삼각형 유한요소를 이용한 불규칙 요소망을 도입하여 성공적으로 이용하고 있다. 따라서 전산유체 역 학의 발전을 위하여 두 분야의 유기적인 협조가 필요하며 결과적으로 전산유체 역학기법이 완 전히 기계설계의 한 분야로 정립될 수 있도록 많은 노력이 필요하다고 본다.

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A study on the analysis and design for VTR deck mechanisms using CAE (CAE를 이용한 VTR Deck기구의 해석 및 설계)

  • 박태원;범진환;한형석;김명규;김광배
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.1
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    • pp.223-235
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    • 1993
  • VTR(Video Tape Recorder) has very complicated mechanisms composed of various cams, links, gears and so on. To satisfy kinematic requirements of VTR components, various geometric constraints between rigid bodies and a translational cam design program are developed. Mechanisms of VTR are divided into functional groups like a control part, a loading part and a tape guide part. Each group is modeled for kinematic and dynamic analysis. Finally, all groups are combined together for a complete VTR model and loads required for each function of VTR controls are studied. Detailed description of developed programs are presented and result are discussed.

Dynamic analysis of constrained multibody systems using Kane's method (케인방법을 이용한 구속 다물체계의 동역학 해석)

  • Park, Jeong-Hun;Yu, Hong-Hui;Hwang, Yo-Ha;Bae, Dae-Seong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.12
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    • pp.2156-2164
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    • 1997
  • A new formulation for the dynamic analysis of constrained multibody systems is presented in this paper. The formulation employs Kane's method along with the null space method. Kane's method reduces the dimension of equations of motion by using partial velocity matrix introduced in this study : it can improve the efficiency of the formulation. Three numerical examples are given to demonstrate the accuracy and efficiency of the formulation.

Dynamic Characteristics Analysis of an Escalator Using a Computer Model (전산모델을 이용한 에스컬레이터의 동특성 해석)

  • Park, Chan-Jong;Kwon, Yi-Sug;Park, Tae-Won
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.4 s.97
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    • pp.95-101
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    • 1999
  • In this paper, we propose a dynamic model of an escalator which can be used to build a design database. The model permits to estimate the forces applied to the structure by calculating three primary types of forces; the torque required to operate the escalator, the reaction forces at part interconnection points, and contact forces between parts. These forces can then be used to calculate dynamic stresses in the structure which is required to estimate the durability of the structure. Result of the computer model are compared with testing results. This simulation model is used to construct a design database. So when we design a new escalator, this design database can be used to make a new simulation model which makes it possible for us to do a Knowledge-Based-Design.

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