• Title/Summary/Keyword: 선형화 방정식

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Application of Equivalent Nonlinear Method to Nonlinear Rolling Motoion of Ships (등가 비선형화법 적용에 의한 선박의 비선형 횡동요 계산)

  • Kwon, Sun-Hong
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.92-98
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    • 1993
  • 불규칙 해상에서 선박의 큰 횡요각의 예측이 중요한 과제로 대두 되고 있다. 본 논문에서는 추계적 해석에 의한 이의 예측 방법을 제시한다. 즉, 주어진 비선형 횡요 운동 방정식으로 부터 배의 횡요각과 각속도의 확률 밀도 함수를 구하는 방법으로 평균화 법과 등가 비선형화 법을 적용하였고 각종 계수들의 값의 변화에 따른 예측 결과를 다른 논문에서 제시한 simulation 결과와 비교하였다.

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Design Sensitivity Analysis of the Second Order Perturbed Eigenproblems for Random Structural System (불확정 구조계 고유치에 관한 이차 민감도 해석)

  • 임오강;이병우
    • Computational Structural Engineering
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    • v.7 no.3
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    • pp.115-122
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    • 1994
  • Design sensitivity analysis of the second order perturbed eigenproblems for random structural system is presented. Dynamic response of random system including uncertainties for the design variable is calculated with the first order and second order perturbation method to original governing equation. In optimal design methods, there is fundamental requirement for design gradients. A method for calculating the sensitivity coefficients is developed using the direct differentiation method for the governing equation and first order and second order perturbed equation.

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Automation of Tower Cranes based on Optimal Control Method (최적 제어법에 의한 타워크레인의 자동화에 관한 연구)

  • Lee, Jin-Woo;Kim, Sang-Bong
    • Journal of the Korean Society of Safety
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    • v.8 no.4
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    • pp.213-222
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    • 1993
  • This paper is concerned with automation of tower cranes in view of the robust control of tower crane during take-off, load hoisting, load lowering and landing. The model equation of the tower crane is induced by using Lagrange's equation and it is linearized at equillibrium point. The control is realized by adopting the optimal regulator method. The effectiveness is proved through the experimental results for the oscillation control of cargo rope and the position controls of trolley and boom by the implementation of digital control using 16 bits microcomputer for the designed optimal control law.

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Study of Surges in a Large-Diameter Subteranean Diversion Channel with Multiple Surge Tanks (대심도 지하관로 배수 시스템의 서어징 현상에 관한 연구)

  • Jeong, Gwang-Geun;Yeo, Un-Sik;An, Tae-Jin
    • Journal of Korea Water Resources Association
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    • v.31 no.6
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    • pp.757-768
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    • 1998
  • rate of outflow is equated to the total rate of flow, both the state equation and its linearized equation yield almost identical oscillations of water levels. This shows that effects of pipe resistance on the surges are small, and justifies a free oscillation analysis. Free oscillation equation has six eigen modes of different periods, including a rigid mode which is existed when the pumped rate of outflow differs from the total rate of inflow. The six modes constitute a variety of surges dependent on different inflow and outflow conditions. Presence of the rigid mode needs sophisticated pump operations adjusted to real flood inflows.

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Design and Development of Thermoacoustic Rdfrierator : I. Acoustic Analysis of Resonator and Prediction of Energy Conversion (열음향 냉동기의 설계 및 개발 : I. 내부공간의 음향해석 및 에너지 변환 예측)

  • Park, Chul-Min;Ih, Jeong-Guon
    • The Journal of the Acoustical Society of Korea
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    • v.15 no.5
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    • pp.44-52
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    • 1996
  • Acoustical characteristics of internal pipe structures and a loudspeaker of the thermoacoustic refrigerator are analyzed by using the transfer matrix method. The resonator system is dismantled into verious basic acoustic elements, and then linearized transfer matrices are serially combined with the dynamical system of linearized loudspeaker model, that the total system of thermoacoustic refrigerator can be analyzed in terms of frequency characteristics and acoustic field shape. Additionally, by using equations for energy flow through the capillary stack, the temperature distribution over the stack is numerically estimated. After expressing the acoustic work flow, thermoacoustic flow, and energy loss per unit length in a single capillary duct by using the transverse functional variations, overall energy flow rate and energy balance are obtained for the whole capillary stack. The final expression for energy flow through the stack is numerically evaluated by varying physical parameters obtained from the sound field analysis. After confirming good agreements between predicted and experimental results for the interior sound field of a refrigerator model, the thermoacoustic characteristics of Hofler's apparatus is analyzed by the proposed method and it is observed that the results agree well with Hofler's experimental results.

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Rotor Flux Estimation of an Induction Motor using the Extended Luenberger Observer (확장된 루엔버거 관측기를 이용한 유도전동기 회전자 자속 추정)

  • 조금배;최연옥;정삼용
    • The Transactions of the Korean Institute of Power Electronics
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    • v.6 no.2
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    • pp.115-124
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    • 2001
  • In this paper, authors propose a new nonlinear rotor flux observer for rotor field oriented control of an induction motor which is designed based on the extended Luenberger Observer theory. Extended Luenberger Observer requires minimal solution of nonlinear partial differential equation on its coordinate transformation and linearization needed on a nonlinear observer design in general. The proposed rotor flux observer is derived from the 2 phase model of induction motor on the orthogonal coordination and it has the reduce gain matrix. Simulation and experimentation were performed under the conventional indirect vector control and direct vector control with the proposed observer at different rotor resistance. Simulation results show that the convergence of the proposed observer is influenced by the chosen eigenvalues. Experimentation results on load operation show the direct vector control with the proposed observer is better than the indirect vector control to maintain the characteristics of the vector control.

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Microwave Filter Design using Tapered Transmission Line Theory (테이퍼 전송선 이론을 이용한 마이크로파 여파기 설계)

  • Gwon, Jin-Uk;Choe, Hyeong-Seok;Jang, Ho-Seong
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.37 no.3
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    • pp.28-34
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    • 2000
  • In this paper, we derive a spectral function and a new impedance profile of non-uniform tapered transmission lines by applying the Fourier transform to a linearized Riccati equation. We compensate the error which is from a linearized Riccati equation by adding a Taylor series to the impedance profile. Added terms remove discontinuities In the impedance profile at both ends of the non-uniform section. We show that a calculated spectrum approaches to a target spectrum of filter by an iterative method and numerical examples are given to illustrate the role of the phase function. As the design method which is shown in present paper provides a excellent adaptability for the design of non-uniform tapered transmission lines, the present method can be applied to design filters and impedance matching circuits with various passband characteristics.

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Computer Simulation of Pt-GaAs Schottky Barrier Diode (Pt-GaAs Schottky Barrier Diode의 Computer Simulation)

  • Yoon, Hyun-Ro;Hong, Bong-Sik
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.3
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    • pp.101-107
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    • 1990
  • In this work, one-dimensional simulation is carried out for PT-GaAs Schottky barrier diodes with finite difference method. Shockley's semiconductor governing equations: Poisson equation and current continuity equation are discertized, and linearized by Newton-Raphson method. The linear system of equation is solved by Gaussian elimination method until convergence is achieved. The boundary condition for this equation is taken from thermionic emission-diffusion theory. Simulation is done for PT-GaAs epitaxial-layer Schottky barrier diodes. The claculated results of electron and potential distribution are shown. Simulation results show exellent agreement with experiments.

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Design of an Autopilot for the Bank-to-Turn Missile using Wiener-Hopf Methods (위너-호프 제어기법을 이용한 BTT 유도탄의 자동조종장치 설계)

  • Min, Deuk-Gi;Park, Ki-Heon
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.6
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    • pp.45-56
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    • 1999
  • This paper presents a method for designing an autopilot of the BTT missile using 2DOF Wiener-Hopf control technique to improve tracking performance. Linear controllers are designed based on the linearized models which are obtained from the nonlinear missile dynamic equations at various operating points. The gain scheduling technique is used to implement the final autopilot. A simulation on the flight of missiles is carried out through the use of 6DOF equation program including exact nonlinear equations of the missile and the variations of aerodynamic variables in order to check applicability of the suggested method in real situation.

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An Implicit Numerical Method for Two-Dimensional Tidal Computation (음해법에 의한 2차원 조류유동 계산법)

  • Sun-Young Kim;Mu-Seok Song
    • Journal of the Society of Naval Architects of Korea
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    • v.35 no.1
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    • pp.1-14
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    • 1998
  • A two-dimensional numerical model for tidal currents based on the depth averaged equation is developed. The mode1 employs a rectangular grid system for its simplicity in the application of complicate coastal shore lines. To raise computing efficiency, implicit approximate factorization scheme is implemented in solving governing equations. An upwind-differencing is used to discretize convective terms, which provides a numerical dissipation automatically and suppresses any oscillations caused by nonlinear instabilities. Some numerical tests are made against the analytic solutions of a linearized shallow water equation to validate the developed numerical scheme, and comparisons of the model prediction with the analytic solution are satisfactory. As a real application, the tidal currents are computed on the Inchon area where the tidal currents are important for the design of new canal which is under construction.

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