• Title/Summary/Keyword: 선형화 방정식

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A Study on Vibration Control Performance of Macpherson Type Semi-Active Suspension System (맥퍼슨 타입 반 능동 현가장치의 진동제어 성능 고찰)

  • Dutta, Saikat;Han, Chulhee;Lee, TaeHoon;Choi, Seung-Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.2
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    • pp.157-164
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    • 2016
  • The paper studies a comparison analysis of semi-active control strategies for a Macpherson strut type suspension system consisting of MR(magneto-rheological) damper. As a first step, in order to formulate governing, a dynamic full model of a Macpherson strut is developed considering the kinematics. The nonlinear equation of motion of the strut is then linearized around the equilibrium point. A new adaptive moving sliding model controller is developed for fast response of the system. A newly proposed adaptive moving sliding mode control strategy is then compared with conventional sliding mode controller and skyhook controller. The comparison is made for two different types of road inputs; bump and random road profiles showing superior vibration control performance in time and frequency domains.

Determination of Weighting Factor in the Inverse Model for Estimating Surface Velocity from AVHRR/SST Data (AVHRR/SST로 부터 표층유속을 추정하기 위한 역행렬 모델에서 가중치의 설정)

  • Lee, Tae-Shin;Chung, Jong-Yul;Kang, Hyoun-Woo
    • 한국해양학회지
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    • v.30 no.6
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    • pp.543-549
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    • 1995
  • The inverse method has been used to estimate a surface velocity field from sequential AVHRR/SST data. In the model, equation system was composed of heat equation and horizontal divergence minimization and the velocity field contained in the advective term of the heat equation, which was linearized in grid system, was estimated. A constraint was the minimization of horizontal divergence with weighting factor and introduced to compensate the null space(Menke, 1984) of the velocity solutions for the heat equation. The experiments were carried out to set up the range of weighting factor and the matrix equation was solved by SVD(Singular Value Decomposion). In the experiment, the scales of horizontal temperature gradient and divergence of synthetic velocity field were approximated to those of real field. The neglected diffusive effect and the horizontal variation of heat flux in the heat equation were regarded as random temperature errors. According to the result of experiments, the minimum of relative error was more desirable than the minimum of misfit as the criteria of setting up the weighting factor and the error of estimated velocity field became small when the weighting factor was order of $10^{-1}$

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Reconfiguration Control Using LMI-based Constrained MPC (선형행렬부등식 기반의 모델예측 제어기법을 이용한 재형상 제어)

  • Oh, Hyon-Dong;Min, Byoung-Mun;Kim, Tae-Hun;Tahk, Min-Jea;Lee, Jang-Ho;Kim, Eung-Tai
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.1
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    • pp.35-41
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    • 2010
  • In developing modern aircraft, the reconfiguration control that can improve the safety and the survivability against the unexpected failure by partitioning control surfaces into several parts has been actively studied. This paper deals with the reconfiguration control using model predictive control method considering the saturation of control surfaces under the control surface failure. Linearized aircraft model at trim condition is used as the internal model of model predictive control. We propose the controller that performs optimization using LMI (linear matrix inequalities) based semi-definite programming in case that control surface saturation occurs, otherwise, uses analytic solution of the model predictive control. The performance of the proposed control method is evaluated by nonlinear simulation under the flight scenario of control surface failure.

Dynamic Response Analysis of Offshore Guyed Tower Subjected to Strong Earthquake under Moderate Random Waves (지진과 파랑하중을 동시에 받는 해양 가이드 타워의 비정상 동적 응답해석)

  • Ryu, Chung Son;Yun, Chung Bang
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.4
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    • pp.65-75
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    • 1993
  • Presented is a method for nonstationary response analysis of an offshore guyed tower subjected to strong earthquake motions under moderate random waves and current loadings. By taking the time varying envelope function and the auto-correlation function of the ground acceleration in terms of complex exponential functions, an analytical procedure is developed for computing time varying variances of the tower response. The stationary responses due to small random waves are obtained by using frequency domain method, and the results are combined with the nonstationary results due to earthquakes. Finally, the expected maximum responses are estimated. Through the example analyses, the nonstationary method developed in this study is verified, and the contributions of the earthquake, wave and current loadings to the total maximum response are investigated.

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Linear and Nonlinear Analysis of Initially Stressed Elastic Solid (초기응력이 있는 탄성체의 선형 및 비선형해석 -플레이트 스트립을 중심으로)

  • 권영두;최진민
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.4
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    • pp.642-651
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    • 1988
  • The present paper develops finite element procedures to calculate displacements, strains and stresses in initially stressed elastic solids subjected to static or time-dependent loading conditions. As a point of departure, we employ Hamilton's principle to obtain nonlinear equations of motion characterizing the displacement in a solid. The equations of motion reduce to linear equations of motion if incremental stresses are assumed to be infinitesimal. In the case of linear problem, finite element solutions are obtained by Newmark's direct integration method and by modal analysis. An analytic solution is referred to compare with the linear finite element solution. In the case of nonlinear problem, finite element solutions are obtained by Newton-Raphson iteration method and compared with the linear solution. Finally, the effect of the order of Gauss-Legendre numerical integration on the nonlinear finite element solution, has been investigated.

Analysis of Load Value acting Free Falling Object according to Disturbance using Nonlinear Load Control Model (비선형 하중 제어 모델에서 외란에 따른 자유낙하 물체에 작용하는 하중값 분석)

  • Wang, Hyeon-Min;Woo, Kwang-Joon
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.47 no.2
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    • pp.55-59
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    • 2010
  • Recently it is tried to use load control model for maneuver moving object. MIN design method proposed to solve control problem of nonlinear system using load concept. The Min design method shows direct method for finding control value on the load control model. In this paper, is shown realization free falling model using nonlinear load control model and analysis of load values acting falling object according to disturbance. And made a trajectory according to acting load values due to disturbance. This paper's result is able to be applied to design algorithm for improvement accuracy of MLRS, GPS air-to-surface missile(ASM) and returning spacecraft with nonlinear model predictive control.

Early History of Linear Algebra (초기 선형대수학의 역사)

  • Lee, Sang-Gu;Lee, Jae Hwa;Ham, Yoon Mee
    • Communications of Mathematical Education
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    • v.26 no.4
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    • pp.351-362
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    • 2012
  • Until the 1950s, linear algebra was considered only as one of abstract and advanced mathematics subject among in graduate mathematics courses, mainly dealing with module in algebra. Since the 1960s, it has been a main subject in undergraduate mathematics education because matrices has been used all over. In Korea, it was considered as a course only for mathematics major students until 1980s. However, now it is a subject for all undergraduate students including natural science, engineering, social science since 1990s. In this paper, we investigate the early history of linear algebra and its development from a historical perspective and mathematicians who made contributions. Secondly, we explain why linear algebra became so popular in college mathematics education in the late 20th century. Contributions of Chinese and H. Grassmann will be extensively examined with many newly discovered facts.

Nonlinear Flutter Analysis of Missile Fin considering Dynamic Stiffness of Actuator (구동장치의 동강성을 고려한 미사일 조종날개의 비선형 플러터 해석)

  • Shin, Won-Ho;Bae, Jae-Sung;Lee, In;Han, Jae-Hung;Shin, Young-Suk;Lee, Yeol-Wha
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.2
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    • pp.54-59
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    • 2005
  • Nonlinear aeroelastic analyses of a missile control fin are performed considering backlash and dynamic stiffness of actuator. Doublet-Hybrid method is used for the calculation of subsonic unsteady aerodynamic forces, and aerodynamic forces are approximated by the minimum-state approximation. For nonlinear flutter analysis backlash is represented by a free-play and is linearized by using the describing function method. Also, dynamic stiffness is function of frequency and is calculated by solving equation of motion for actuator. The linear and nonlinear flutter analyses show that the aeroelastic characteristics are significantly dependent on the backlash and dynamic stiffness. From the nonlinear flutter analysis, various types of limit cycle oscillations are observed in a range of air speeds below the linear divergent flutter boundary. The nonlinear flutter characteristics and the nonlinear aeroelastic responses are also investigated in the time domain.

Simulation of Trailing Edge Scattering Using Linearized Euler Equations with Source terms (CFD/CAA Hybrid 기법을 이용한 뒷전에서 음향파의 산란모사)

  • Park, Yong-Hwan;Bin, Jong-Hoon;Cheong, Cheol-Ung;Lee, Soo-Gab
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.7
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    • pp.18-25
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    • 2005
  • In this study, the main focus is the simulation of acoustic wave scattering in trailing edge and the analysis of the generation mechanism of instability wave by the interaction of trailing edge, shear flow and initial disturbance. The numerical algorithm is based on CFD/CAA hybrid method with high-order computational aeroacoustic method. It is found that steady mean flow gradient terms play a crucial role on the generation of instability wave through the comparison of simulations of Simple Linearized Euler Equation and Full Linearized Euler Equation. Through the comparison with the results of Full Navier-Stokes Equation, it is reasonable and efficient to use the Full Linearized Euler Equation in the initial generation mechanism of the instability wave near the trailing edge.

Feedback Control Loop Design of DC-DC Converter Systems Using Subcircuit (Subcircuit를 이용한 DC-DC 컨버터 시스템의 피드백 제어루프 설계)

  • Kwon, Soon-Kurl;Lee, Su-Ho
    • Journal of the Institute of Convergence Signal Processing
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    • v.8 no.2
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    • pp.113-118
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    • 2007
  • In this paper, a novel approach to using Subcircuit of Pspice in designing feedback for DC-DC converter systems is proposed. Proposed new approach, the feedback design procedures which are based on small signal modeling are programmed as a subcircuit in Pspice. For this purpose, Analog Behavioral Modeling (ABM) is used. By using the subcircuit, the component values of the error compensation amplifier can be easily obtained by means of Pspice DC analysis. The methodology of development is presented in detail and application examples demonstrated the effectiveness of the proposed approach in designing feedbacks for DC-DC converters. The converter with PWM method used continuous current mode and calculated buck converter control signal with average and linear current technique. To decide pole and zero K-method was adapted and this kind of design procedure took stable function.

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