• 제목/요약/키워드: Asymptotic Method

검색결과 632건 처리시간 0.025초

연속계 Deadbeat 제어를 적용한 도립진자 제어 (Control of Inverted Pendulum Using Continuous Time Deadbeat Control)

  • 김성열;이금원
    • 조명전기설비학회논문지
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    • 제18권6호
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    • pp.108-113
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    • 2004
  • 점근특성 때문에 deadbeat제어는 연속계시스템에는 거의 적용이 불가능하다. 그러나 지연요소법은 이런 문제를 해결할 수 있다. 지연요소법외에도 잘 알려진 디지털 deadbeat제어가 평활요소를 추가하여 사용될 수 있다. 본 논문에서는 2차 평활요소를 디지털 deadbeat제어기에 사용한다. 그리고 이 요소는 플랜트에 확장되고 따라서 확장된 시스템을 디지털제어하게 된다. 이 제어시스템을 Matlab언어를 사용하여 회전형 도립진자 시스템에 적용하여 시뮬레이션한다.

계면 전단응력이 있을 때와 없을 때 하강하는 난류액막에 대한 개선된 열전달 예측 모델 (An Improved Heat Transfer Prediction Model for Turbulent Falling Liquid Films with or Without Interfacial Shear)

  • Park, Seok-Jeong;Chun, Moon-Hyun
    • Nuclear Engineering and Technology
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    • 제27권2호
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    • pp.189-202
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    • 1995
  • 계면 전단응력이 있을 때와 없을 때 가열 또는 응축되면서 하강하는 난류액막의 열전달 계수를 예측하기 위한 개선된 방법을 제시하였다. 특히 큰 계면 전단응력이 있을 때 하강하는 난류액막에 적용할 수 있도록 Mudawwar와 El-Masri의 준 실험적 난류모델을 수정하여 Yih와 Liu가 제안한 통합적 접근방법에 사용한 와류점성모델대신에 사용하였다. 광범위한 크기의 계면전단응력에 대해 액막 레이놀즈 수 대액체막 두께 및 접근적 열전달 계수를 개선된 방법과 다른 여러 기존 방법으로 예측하여 실험값들과 비교하였다. 그 결과 일반적으로 수정한 모델과 예측한 값이 다른 기존 모델로 예측한 값보다 실험 치와 더밀접하게 일치하는 것을 보여주었다.

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Penicillium pinophilum에 의한 Poly (3-hydroxybutyrate)의 생분해 (Biodegradation of Poly (3-hydroxybutyrate) by Penicillium pinophilum)

  • 김말남;강우정
    • 한국균학회지
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    • 제23권4호통권75호
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    • pp.348-353
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    • 1995
  • Poly (3-hydroxybutyrate)(PHB) 의 Penicillium pinophilum에 의한 생분해성을 변형 Sturm Test 법으로 조사하였다. 활성오니를 사용한 경우보다 PHB의 생분해성이 비교적 재현성있게 측정되었으며 PHB의 생분해를 가장 빠르게 진행시키는 최적 포자 접균량은 1 %(v/v)이었다. 생분해 속도는 시료의 표면적에 따라 증가하였으나 비례적으로 상승하지 않아 분해가 시료의 표면 뿐만 아니라 내부에서도 진행됨을 나타내었다. 반응 배지내의 질소원 함량에 따라 PHB의 생분해 속도는 증가하다가 점근값을 보여 질소원이 depolymerase 효소의 합성에 필요한 원소임을 보였다.

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세장선 이론에 의한 조파저항의 수치 해석 (Numerical Analysis on the Wave Resistance by the Theory of Slender Ships)

  • 김인철
    • 수산해양기술연구
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    • 제23권3호
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    • pp.111-116
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    • 1987
  • 이상으로부터 다음의 결론을 얻는다. 조파저항 이론의 전개에서 Michell 적분보다 더욱 정밀한 Neumann-Kelvin 문제가 복잡한 kernel 함수 때문에 많은 시간과 노력이 필요하지만, 원점 부근에서 Kelvin 소오스의 점근거동을 조사하여 세장체 근사를 행함으로 N-K 문제의 kernel 함수에 대한 근사와 동등하게 처리될 수 있었다. 조파저항의 계산 결과가 Michell 적분과 비슷한 경향을 보이나, 실험치와의 정확한 비교를 할 수 없었다. 그러나 세장선 이론을 적용함으로써 훨씬 복잡하고 지루한 작업을 들 수 있었다. 전진 속도를 갖는 경우에는 수정된 Green정리를 이용하면 될 것으로 기대된다.

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GLOBAL STABILITY OF HIV INFECTION MODELS WITH INTRACELLULAR DELAYS

  • Elaiw, Ahmed;Hassanien, Ismail;Azoz, Shimaa
    • 대한수학회지
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    • 제49권4호
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    • pp.779-794
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    • 2012
  • In this paper, we study the global stability of two mathematical models for human immunodeficiency virus (HIV) infection with intra-cellular delays. The first model is a 5-dimensional nonlinear delay ODEs that describes the interaction of the HIV with two classes of target cells, $CD4^+$ T cells and macrophages taking into account the saturation infection rate. The second model generalizes the first one by assuming that the infection rate is given by Beddington-DeAngelis functional response. Two time delays are used to describe the time periods between viral entry the two classes of target cells and the production of new virus particles. Lyapunov functionals are constructed and LaSalle-type theorem for delay differential equation is used to establish the global asymptotic stability of the uninfected and infected steady states of the HIV infection models. We have proven that if the basic reproduction number $R_0$ is less than unity, then the uninfected steady state is globally asymptotically stable, and if the infected steady state exists, then it is globally asymptotically stable for all time delays.

Prediction of bridge flutter under a crosswind flow

  • Vu, Tan-Van;Lee, Ho-Yeop;Choi, Byung-Ho;Lee, Hak-Eun
    • Wind and Structures
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    • 제17권3호
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    • pp.275-298
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    • 2013
  • This paper presents a number of approximated analytical formulations for the flutter analysis of long-span bridges using the so-called uncoupled flutter derivatives. The formulae have been developed from the simplified framework of a bimodal coupled flutter problem. As a result, the proposed method represents an extension of Selberg's empirical formula to generic bridge sections, which may be prone to one of the aeroelastic instability such as coupled-mode or single-mode (either dominated by torsion or heaving mode) flutter. Two approximated expressions for the flutter derivatives are required so that only the experimental flutter derivatives of ($H_1^*$, $A_2^*$) are measured to calculate the onset flutter. Based on asymptotic expansions of the flutter derivatives, a further simplified formula was derived to predict the critical wind speed of the cross section, which is prone to the coupled-mode flutter at large reduced wind speeds. The numerical results produced by the proposed formulas have been compared with results obtained by complex eigenvalue analysis and available approximated methods show that they seem to give satisfactory results for a wide range of study cases. Thus, these formulas can be used in the assessment of bridge flutter performance at the preliminary design stage.

원뿔 캐비테이터의 초공동 크기 추정 (An Estimation of the Size of Supercavities for Conical Cavitators)

  • 김형태;김병진;최정규;윤현걸
    • 대한조선학회논문집
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    • 제53권2호
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    • pp.92-100
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    • 2016
  • A comparative method is applied to evaluate well-known formulas for estimating the size of supercavities of axisymmetric cavitators for the supercavitating underwater vehicle. Basic functional forms of these formulas are derived first for the cavity diameter from a momentum integral estimate and second for the cavity length from an asymptotic analysis of inviscid supercavity flows. The length and the diameter of axisymmetric supercavities estimated by each formula are compared, with available experimental data for a disk and a 45° conical cavitators, and also with computational results obtained by a CFD code, ‘fluent’, for conical cavitators of wide range of cone angles. Results for estimating the length and the diameter of the supercavities show in general a good agreement, which confirms the size of the supercavities for disk and conical cavitators can be estimated accurately by these simple formulas of an elementary function of cavitation number and drag coefficient of the cavitator. These formulas will be useful for from conceptual design of the cavitator to real-time control of the supercavitating underwater vehicle.

Nonlinear thermal buckling of bi-directional functionally graded nanobeams

  • Gao, Yang;Xiao, Wan-shen;Zhu, Haiping
    • Structural Engineering and Mechanics
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    • 제71권6호
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    • pp.669-682
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    • 2019
  • We in this article study nonlinear thermal buckling of bi-directional functionally graded beams in the theoretical frameworks of nonlocal strain graded theory. To begin with, it is assumed that the effective material properties of beams vary continuously in both the thickness and width directions. Then, we utilize a higher-order shear deformation theory that includes a physical neutral surface to derive the size-dependent governing equations combining with the Hamilton's principle and the von $K{\acute{a}}rm{\acute{a}}n$ geometric nonlinearity. It should be pointed out that the established model, containing a nonlocal parameter and a strain gradient length scale parameter, can availably account for both the influence of nonlocal elastic stress field and the influence of strain gradient stress field. Subsequently, via using a easier group of initial asymptotic solutions, the corresponding analytical solution of thermal buckling of beams is obtained with the help of perturbation method. Finally, a parametric study is carried out in detail after validating the present analysis, especially for the effects of a nonlocal parameter, a strain gradient length scale parameter and the ratio of the two on the critical thermal buckling temperature of beams.

Adaptive Sliding Mode Control based on Feedback Linearization for Quadrotor with Ground Effect

  • Kim, Young-Min;Baek, Woon-Bo
    • 한국정보기술학회 영문논문지
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    • 제8권2호
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    • pp.101-110
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    • 2018
  • This paper introduces feedback linearization (FL) based adaptive sliding mode control (ASMC) effective against ground effects of the quadrotor UAV. The proposed control has the capability of estimation and effective rejection of those effects by adaptive mechanism, which resulting stable attitude and positioning of the quadrotor. As output variables of quadrotor, x-y-z position and yaw angle are chosen. Dynamic extension of the quadrotor dynamics is obtained for terms of roll and pitch control input to be appeared explicitly in x-y-z dynamics, and then linear feedback control including a ground effect is designed. A sliding mode control (SMC) is designed with a class of FL including higher derivative terms, sliding surfaces for which is designed as a class of integral type of resulting closed loop dynamics. The asymptotic stability of the overall system was assured, based on Lyapunov stability methods. It was evaluated through some simulation that attitude control capability is stable under excessive estimation error for unknown ground effect and initial attitude of roll, pitch, and yaw angle of $30^{\circ}$ in all. Effectiveness of the proposed method was shown for quadrotor system with ground effects.

수중 폭발 시뮬레이션을 위한 경계 요소법 기반의 수치 해석 기법 연구 (A Study on BEM-Based Numerical Simulation Technique for Underwater Explosions)

  • 정준모;이재빈
    • 대한조선학회논문집
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    • 제57권5호
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    • pp.271-277
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    • 2020
  • Recoverability and vulnerability of navy ships under underwater explosion are critical verification factors in the acquisition phase of navy ships. This paper aims to establish numerical analysis techniques for the underwater explosion of navy ships. Doubly Asymptotic Approach (DAA) Equation of Motion (EOM) of primary shock wave and secondary bubble pulse proposed by Geers-Hunter was introduced. Assuming a non-compressive fluid, reference solution of the DAA EOM of Geers-Hunter using Runge-Kutta method was derived for the secondary bubble pulse phase with an assumed charge conditions. Convergence analyses to determine fluid element size were performed, suggesting that the minimum fluid element size for underwater explosion analysis was 0.1 m. The spherical and cylindrical fluid domains were found to be appropriate for the underwater explosion analyses from the fluid domain shape study. Because the element size of 0.1 m was too small to be applied to the actual navy ships, a very slender beam with the square solid section was selected for the study of fluid domain existence effect. The two underwater explosion models with/without fluid domain provided very similar results in terms of the displacement and stress processes.