• Title/Summary/Keyword: Theoretical derivative

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

  • Park, Hwa-Yong;Yun, Jong-Min;Yoo, Seong-Hwan;Kim, Chang-Yeol;Lee, Jae-Eung
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.1
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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.

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

  • Rhee, Hyok-Joo
    • Journal of Korean Society of Transportation
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    • v.32 no.4
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    • pp.357-368
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    • 2014
  • So far, land use-transportation models have been used exclusively for numerical analysis. A recent theoretical endeavor now enables us to derive the first-order derivative of the model's welfare function with respect to policy variables. I extend this methodology into the institutional setting where toll revenues are recycled through labor income tax. In this setting, the first-order derivative is composed of (1) the increase in welfare due to reduced congestion, and (2) the decrease in welfare due to interaction with the existing labor income tax. This result coincides with existing theory in the non-spatial model.

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

  • Jo, Jang-Hyen
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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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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    • v.11 no.6
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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.

Detection of Plethysmogram and its Usefulness (맥파검출과 이의 유효성)

  • 홍승홍
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.15 no.1
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    • pp.1-4
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    • 1978
  • This paper described the establishment of the basic data for the design of the transducer for the detection of plethysmogram, the structure of pulsimeter utilizing the designed transducer and the clinical usefulness of detected waveform of the optical detection method can be utilized as an information of cardiovascular system as physiological theoretical waveform of aorta, and derivative of plethysmogram by piezo electric elements clearly shows the information of incisura which does not appear at the old age and this makes the measuring of ejection time to be easy. The ejection time of average for 42 persons shows 0.324 $\pm$ 0.027 sec. and this value is in good agreement with the theoretical value, and the possibility of measuring the velocity of pulse conduction has been studied.

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

  • Lee, Wonmi;Kwon, Yongchai
    • Korean Chemical Engineering Research
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    • v.57 no.5
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    • pp.695-700
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    • 2019
  • n this study, the evaluation of performance of AORFB using anthraquinone derivative and TEMPO derivative as active materials in neutral supporting electrolyte with various membrane types was performed. Both anthraquinone derivative and TEMPO derivative showed high electron transfer rate (the difference between anodic and cathodic peak potential was 0.068 V) and the cell voltage is 1.17 V. The single cell test of the AORFB using 0.1 M active materials in 1 M KCl solution with using Nafion 212 membrane, which is commercial cation exchange membrane was performed, and the charge efficiency (CE) was 97% and voltage efficiency (VE) was 59%. In addition, the discharge capacity was $0.93Ah{\cdot}L^{-1}$ which is 35% of theoretical capacity ($2.68Ah{\cdot}L^{-1}$) at $4^{th}$ cycle and the capacity loss rate was $0.018Ah{\cdot}L^{-1}/cycle$ during 10 cycles. The single cell tests were performed with using Nafion 117 membrane and SELEMION CSO membrane. However, the results were more not good because of increased resistance because of thicker thickness of membrane and increased cross-over of active materials, respectively.

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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    • v.15 no.4
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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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    • 2004.08a
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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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    • v.34 no.1_2
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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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    • v.28 no.1_2
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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.