• 제목/요약/키워드: Theoretical derivative

검색결과 85건 처리시간 0.039초

점성 유체 감쇠기의 크기 변화에 따른 성능 변화 예측 (Prediction of the Ability of a Viscous Fluid Damper with Respect to Change of the Size of the Damper)

  • 박화용;윤종민;유성환;김창열;이재응
    • 한국소음진동공학회논문집
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    • 제22권1호
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    • pp.53-60
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    • 2012
  • To reduce the vibration in industrial settings, the viscous fluid dampers have been widely used. Since the damper shows a viscoelastic behavior, many methods to predict the behavior have been investigated. But the methods did not consider a change of damper size that is important factor for practical design engineer. In this study, to predict a change of damper ability with respect to a change of damper size, the dynamic experiment were conducted with fixed aspect ratio and gap. The damping coefficient at zero frequency was computed through theoretical and experiment approach in order to fit the experimental results using fractional derivative Maxwell model.

세수 재순환과 토지이용-교통모형을 이용한 혼잡통행료 분석방법론 (Analysis of Congestion Tolls Using the Land Use-Transportation Model When Toll Revenues Are Recycled)

  • 이혁주
    • 대한교통학회지
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    • 제32권4호
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    • pp.357-368
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    • 2014
  • 지금까지 토지이용-교통모형은 전적으로 수치해석적 분석도구로만 이용되어 왔는데, 최근 이론개발 노력의 결과 정책변수에 대한 후생함수의 1계 도함수 간편식을 구할 수 있게 되었다. 본 논문은 혼잡통행료가 소득세 경감을 통해 재순환될 때 혼잡통행료의 변화에 대한 후생함수의 도함수를 어떻게 유도할 수 있는지 보여준다. 분석결과 혼잡통행료의 부과가 가져오는 후생변화분을 (1)혼잡의 완화로 인한 후생증가분과 (2)노동공급과의 상호작용에서 발생하는 후생손실로 분해할 수 있다. 이 결과는 기존의 연구결과와 일치한다.

Robustness Bounds of the Vertical Take-Off and Landing Aircraft System with Structured Uncertainties

  • Jo, Jang-Hyen
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.459-459
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    • 2000
  • The purpose of this paper is the application of the techniques for the new estimation of robustness for the aircraft systems having structured uncertainties. The basic ideas to analyze the system which is the originally nonlinear is Lyapunov direct theorems. The nonlinear systems have various forms of terms inside the system equations and this investigation is confined in the form of bounded uncertainties. The number of uncertainties will be the degree of freedoms in the calculation of the robust stability regions called the robustness bounds. This proposition adopts the theoretical analysis of the Lyapunov direct methods, that is, the sign properties of the Lyapunov function derivative integrated along finite intervals of time, in place of the original method of the sign properties of the time derivative of the Lyapunov function itself. This is the new sufficient criteria to relax the stability condition and is used to generate techniques for the robust design of control systems with structured perturbations. Using this relaxing stability conditions, in this paper, the quadratic form of Lyapunov function is utilized. In this paper, the practical system of vertical take-off and landing (VTOL) aircraft is analyzed with the proposed stability criteria based upon the Lyapunov direct method. The application of numerical procedures can prove the improvements in estimations of robustness with structured uncertainties. The applicable aircraft system is assumed to be linear with time-varying with nonlinear bounded perturbations.

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Evaluation of the Function exp$(x^2)$ erfc(x) to Higher Precisions for Higher Order Derivative Polarography of CE-type Electrode Process

  • Kim, Myung-Hoon;Smith, Veriti P.;Hong, Tae-Kee
    • Bulletin of the Korean Chemical Society
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    • 제11권6호
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    • pp.497-505
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    • 1990
  • The function exp$(x^2)$erfc(x), which is often encountered in studies of electrode kinetics, is evaluated to an extended precision with 32 significant decimal digits in order to find theoretical relationships used in derivative polarography/voltammetry for a chemically-coupled electrode process. Computations with a lower precision are not successful. Evaluation of the function is accomplished by using three types of expansions for the function. Best ranges of arguments are selected for each equation for particular precisions for efficiencies. The method is successfully applied to calculate higher-order derivatives of the current-potential curves in all potential ranges for a reversible electron transfer reaction coupled with a prior chemical equilibrium (i.e., a CE type process). Various parameters that characterize the peak asymmetry (such as ratios of peak-heights, ratios of half-peak-widths, and separations in peak-potentials) are analyzed to find how kinetic and thermodynamic parameters influence shapes of the derivatives. The results from the CE process is compared with those from an EC process in which a reversible electron transfer is coupled with a follow-up homogeneous chemical reaction. The two processes exibit quite contrasting differences for values of the parameters.

맥파검출과 이의 유효성 (Detection of Plethysmogram and its Usefulness)

  • 홍승홍
    • 대한전자공학회논문지
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    • 제15권1호
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    • pp.1-4
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    • 1978
  • 맥파검출용변환기설계의 기초자료 확립과 설계된 변환기를 이용한 맥추계구성 및 검출된 파형의 임상적 유효성을 검토했다. 광학적 검출방식에 의한 출력파형은 대동장의 생리학적인 이론파형과 동일한 파형으로 맥관계의 한 정보로써 이용할 수 있으며 여전소자에 의한 맥파의 미분파형은 고령자에게서 잘 나타나지 않는 절역의 정보가 분명히 표시되어져 임혈시간의 측정이 용이하다. 42명에 대한 평균임혈시간이 0.324±0.027초로 얻어져 생리학적 이론치와 같으며 맥파전달시간의 측정가능성이 검토되어졌다.

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안트라퀴논과 템포 활물질 기반 수계 유기 레독스 흐름 전지에서의 멤브레인 효과 (The Effects of Different Membranes on the Performance of Aqueous Organic Redox Flow Battery Using Anthraquinone and TEMPO Redox Couple)

  • 이원미;권용재
    • Korean Chemical Engineering Research
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    • 제57권5호
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    • pp.695-700
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    • 2019
  • 본 연구에서는 유기물인 안트라퀴논(AQDS)와 템포(TEMPO)를 활물질로 사용하고 N 중성 전해질 기반 수계 유기레독스 흐름전지 성능이 멤브레인에 따라 어떻게 영향을 받는지 분석하였다. 안트라퀴논과 템포 모두 중성 전해질인 염화칼륨(KCl) 전해질에 대해 높은 전자전달성(0.068 V의 산화 반응 및 환원 반응의 피크 전위차) 및 셀전압(1.17 V)을 얻을 수 있었다. 성능비교를 위해 사용한 멤브레인으로, 상용 양이온 교환막 중 하나인 Nafion 212를 사용하였을 때, 0.1 M 활물질을 1 M 염화칼륨 전해질에 용해해서 작동한 레독스 흐름전지 완전지 테스트를 통해, 전류효율 97%, 전압 효율 59%의 성능을 나타내었지만, 방전 용량(discharge capacity)은 4 사이클에서 $0.93Ah{\cdot}L^{-1}$로 이론 용량($2.68Ah{\cdot}L^{-1}$)의 35%를 도달하였으며, 총 10사이클 동안 방전 용량의 용량 손실율(capacity loss rate)은 $0.018Ah{\cdot}L^{-1}/cycle$ 이다. 그 외에도 Nafion 117 멤브레인, SELEMION CSO 멤브레인을 사용하여 단전지 성능을 테스트하였을 때, 오히려 저항 증가 및 투과 유도로 인해 더 큰 용량 손실을 이끌었다.

Finite Elements Adding and Removing Method for Two-Dimensional Shape Optimal Design

  • Lim, Kyoung-Ho;John W. Bull;Kim, Hyun-Kang
    • Journal of Mechanical Science and Technology
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    • 제15권4호
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    • pp.413-421
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    • 2001
  • A simple procedure to add and remove material simultaneously along the boundary is developed to optimize the shape of a two dimensional elastic problems and to minimize the maximum von Mises stress. The results for the two dimensional infinite plate with a hole, are close to the theoretical results of an elliptical boundary and the stress concentration is reduced by half for the fillet problem. The proposed shape optimization method, when compared with existing derivative based shape optimization methods has many features such as simplicity, applicability, flexibility, computational efficiency and a much better control on stresses on the design boundary.

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Design of Sliding-mode Observer for Robust Speed Sensorless Induction Motor Drive

  • Son, Young-Dae;Lee, Jong-Nyun
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.488-492
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    • 2004
  • In this paper, the design of a speed sensorless vector control system for induction motor is performed by using a new sliding mode technique based on current model flux observer. A current and flux observer based on the current estimation error is constructed. The proposed current observer includes a sliding mode function, which is derivative of the flux. That is, sliding mode observer which allows the estimation of both the rotor speed and flux based on the measurement of motor terminal quantities, would be proposed. And, a synergetic speed controller using the estimated speed signal is designed to stabilize the speed loop. Simulation results are presented to confirm the theoretical analysis, and to show the system performance with different observer gains and the influence of the motor parameter.

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A SPLIT LEAST-SQUARES CHARACTERISTIC MIXED FINITE ELEMENT METHOD FOR THE CONVECTION DOMINATED SOBOLEV EQUATIONS

  • OHM, MI RAY;SHIN, JUN YONG
    • Journal of applied mathematics & informatics
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    • 제34권1_2호
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    • pp.19-34
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    • 2016
  • In this paper, we present a split least-squares characteristic mixed finite element method(MFEM) to get the approximate solutions of the convection dominated Sobolev equations. First, to manage both convection term and time derivative term efficiently, we apply a least-squares characteristic MFEM to get the system of equations in the primal unknown and the flux unknown. Then, we obtain a split least-squares characteristic MFEM to convert the coupled system in two unknowns derived from the least-squares characteristic MFEM into two uncoupled systems in the unknowns. We theoretically prove that the approximations constructed by the split least-squares characteristic MFEM converge with the optimal order in L2 and H1 normed spaces for the primal unknown and with the optimal order in L2 normed space for the flux unknown. And we provide some numerical results to confirm the validity of our theoretical results.

AN SDFEM FOR A CONVECTION-DIFFUSION PROBLEM WITH NEUMANN BOUNDARY CONDITION AND DISCONTINUOUS SOURCE TERM

  • Babu, A. Ramesh;Ramanujam, N.
    • Journal of applied mathematics & informatics
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    • 제28권1_2호
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    • pp.31-48
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    • 2010
  • In this article, we consider singularly perturbed Boundary Value Problems(BVPs) for second order Ordinary Differential Equations (ODEs) with Neumann boundary condition and discontinuous source term. A parameter-uniform error bound for the solution is established using the Streamline-Diffusion Finite Element Method (SDFEM) on a piecewise uniform meshes. We prove that the method is almost second order of convergence in the maximum norm, independently of the perturbation parameter. Further we derive superconvergence results for scaled derivatives of solution of the same problem. Numerical results are provided to substantiate the theoretical results.