• 제목/요약/키워드: Delta method

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LQG/LTR 기법에 의한 발사체의 자동조종장치 설계 (Autopilot Design Using LQG/LTR Method for a Launch Vehicle)

  • 김승환;권오규
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1990년도 추계학술대회 논문집 학회본부
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    • pp.413-416
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    • 1990
  • This paper proposes a design procedure based on the LQG/LTR method for a launch vehicle autopilot. Continuous-discrete type LQG/LTR compensators are designed using the $\delta$-transformation [1] in order to overcome numerical problems occurring in the process of discretization. The $\delta$-LQG/LTR compensator using the $\delta$-transformation is compared with the $\delta$-LQG/LTR compensator using the $\delta$-transformation. The performance of the overall system controlled by the $\delta$-LQG/LTR compensator is evaluated via simulations, which show that the discretization error problem is resolved and the control performances are satisfied in the proposed compensator.

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루타일이 삽입된 유전체 공진기의 두 공진 모드를 이용한 루타일의 유전손실과 $YBa_2Cu_3O_{7-{\delta}}$ 박막의 마이크로파 표면저항 측정 (Simultaneous Measurements of the Loss Tangent of Rutile ($TiO_2$) and the Microwave Surface Resistance of $YBa_2Cu_3O_{7-{\delta}}$ Films using Two Resonant Modes of Rutile -loaded cavity Resonator)

  • 임준;이재훈;김민정;허정;이상영
    • Progress in Superconductivity
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    • 제4권2호
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    • pp.137-143
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    • 2003
  • In measuring the microwave surface resistance of high-Tc superconductor (HTS) films using the dielectric-loaded cavity resonator method, one of the most important factors that limit the measurement sensitivity is the measurement error in the loss tangent ($tan\delta$) of the dielectric rod placed inside the cavity. We have measured the effective surface resistance ( $R_{S}$ $^{eff}$) of$ YBa_2$$_Cu3$$_{7-{\delta}}$ (YBCO) films and the $tan\delta$ of rutile ($TiO_2$) using the 'two-tone'method suggested by Kobayashi et at. [IEEE, MTT-S Digest, 495, (2001)], which enables simultaneous measurements of both the $R_{S}$ $^{eff}$ fof HTS films and the $tan\delta$ of the rutile with high sensitivity. A rutile-loaded cavity resonator with the $TE_{012}$ and $TE_{021}$ resonant frequencies at 13.67 - 14.01 GHz is used for this purpose. At temperatures where the two modes do not couple with other modes, the $R_{S}$ $^{eff}$ of YBCO films and $tan\delta$ of rutile measured by the two-tone method appear to match well with the corresponding values measured using the reported $tan\delta$ values of sapphire within 10 %. Usefulness of the 'two-tone' method for microwave characterization of HTS films and dielectrics is discussed.d.ielectrics is discussed.ussed.

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점용접이음재의 피로수명 예측기법에 관한 연구 (A study on the Fatigue Life Prediction Method of the Spot-welded Lap Joint)

  • 손일선;배동호
    • 한국자동차공학회논문집
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    • 제8권3호
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    • pp.110-118
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    • 2000
  • For reasonable fatigue design and estimation of fatigue durability considered fatigue strength and stiffness of the automotive body structure, many fatigue data must be insured according to the shapes, materials, and welding conditions of the spot welded lap joints. However, because it is actually difficult problem, there is need to establish a new method to be able to predict its fatigue life without any additional fatigue tests. Therefore, In order to improve such problems, in this study, the maximum stress function presenting the $\delta\sigma_{1max}―\delta P$ relation was defined form the relation between $\delta\sigma_{1max}-N_f$ and ${\delta}P-N_f$. By using the fatigue data on the IB type spot-welded lap joints previously obtained from the fatigue test results, fatigue life of the spot-welded lap joint previously obtained from the fatigue test results, fatigue life of the spot-welded lap joint having a certain dimension was tried to predict without any additional fatigue tests. And, its result was verified by ${\delta}P-$N_f$ curves. Obtained conclusion are as follows, 1) a maximum stress function considered the relation of the maximum principal stress, fatigue load, and the effects of geometrical factors of the IB type spot-welded lap joint was suggested. 2) the fatigue life predicted by the maximum principal stress function and the relation of $\delta\sigma_{1max}-N_f$ was well agreed with the fatigue life obtained through the actual fatigue test result. 3) the fatigue life of the IB type spot-welded lap joint having a certain dimension is able to be predicted without any additional fatigue tests from the fatigue life prediction method by the maximum principal stress function.

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할로겐화합물의 표준생성열의 계산 (Semiempirical Estimation of Standard Enthalpy of Formation for Halogen Substituted Hydrocarbons)

  • 주광열;이필희
    • 대한화학회지
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    • 제24권2호
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    • pp.108-114
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    • 1980
  • 정전기적모델과 결합의 단순한 부가성을 이용하여 아주 극성인 화합물의 표준생성열$({\Delta}H_f\;^{\circ})$를 계산하는 간단한 방법을 제안하였다. 이 ${\Delta}H_f\;^{\circ}$에 대한 할로메탄의 bond 기여도는 각각 ${\Delta}H_f\;^{\circ}(C-F)=-36.44\;kcal/mole,\;{\Delta}H_f\;^{\circ}(C-Cl)=-2.57\;kcal/mole,\;{\Delta}H_f\;^{\circ}(C-Br)=5.32\;kcal/mole,\;{\Delta}H_f\;^{\circ}(C-I)=19.18\;kcal/mole,\;and\;{\Delta}H_f\;^{\circ}(C-H)=-3.61\;kcal/mole$로 얻어졌고 이 갑들과 정전기적 에너지들로부터 계산한 ${\Delta}H_f\;^{\circ}$는 실험치와 잘 일치함을 보였다.

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STABLE APPROXIMATION OF THE HEAT FLUX IN AN INVERSE HEAT CONDUCTION PROBLEM

  • Alem, Leila;Chorfi, Lahcene
    • 대한수학회논문집
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    • 제33권3호
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    • pp.1025-1037
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    • 2018
  • We consider an ill-posed problem for the heat equation $u_{xx}=u_t$ in the quarter plane {x > 0, t > 0}. We propose a new method to compute the heat flux $h(t)=u_x(1,t)$ from the boundary temperature g(t) = u(1, t). The operator $g{\mapsto}h=Hg$ is unbounded in $L^2({\mathbb{R}})$, so we approximate h(t) by $h_{\delta}(t)=u_x(1+{\delta},\;t)$, ${\delta}{\rightarrow}0$. When noise is present, the data is $g_{\epsilon}$ leading to a corresponding heat $h_{{\delta},{\epsilon}}$. We obtain an estimate of the error ${\parallel}h-h_{{\delta},{\epsilon}}{\parallel}$, as well as the error when $h_{{\delta},{\epsilon}}$ is approximated by the trapezoidal rule. With an a priori choice rule ${\delta}={\delta}({\epsilon})$ and ${\tau}={\tau}({\epsilon})$, the step size of the trapezoidal rule, the main theorem gives the error of the heat flux as a function of noise level ${\epsilon}$. Numerical examples show that the proposed method is effective and stable.

블록-순환으로 분배된 배열의 지역 주소 생성 (Generating Local Addresses for Block-Cyclic Distributed Array)

  • 권오영;김태근;한탁돈;양성봉;김신덕
    • 한국정보처리학회논문지
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    • 제5권11호
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    • pp.2835-2844
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    • 1998
  • 대부분의 데이터 병렬 언어들은 배열을 분배하는 방법을 제공하고 있다. 이들 중 블록-순환(block-cyclic) 분배가 가장일반적인 데이터 방법이다. 블록-순환 형태로 분할된 배열 구간 A(l:h:s) 중 각 프로세서가 자신의 메모리 영역에서 접근하는 A의 지역주소를 컴파일러 또는 실시간 시스템들이 생성하는 방안에 대한 연구가 이루어지고 있다. 이 논문에서는 블록-순환 분배된 배열에 대한 두 가지 지역 주소 생성 방법을 제안한다. 하나는 가상-블록 (virtual-block)을 변형한 simple scan 방법이고, 다른 하나는 지역 메모리 접근에 대한 정보를 포함하는 ${\Delta}M$테이블을 선형시간에 생성하는 알고리즘이다. ${\Delta}M$테이블 생성과 각 프로세서가 10,000개의 지역배열 원소를 접근하는데 소요된 시간을 측정하는 실험을 하였다. 실험결과 simple scan 방법은 성능이 좋지 못하였다. 하지만 ${\Delta}M$테이블을 구성하는 다른 방법들 보다 빠른 시간에 수행이 완료되었다.

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LPE법으로 성장시킨 Bi2Sr2Ca(Cu1-xNix)2O8+δ 막(film)의 초전도특성 및 터널링 분광 (Superconducting Properties and Tunneling Spectroscopy of Bi2Sr2Ca(Cu1-xNix)2O8+δ Film by LPE Method)

  • 이민수
    • 한국세라믹학회지
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    • 제40권5호
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    • pp.455-459
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    • 2003
  • LPE(Liquid Phase Epitaxial)법을 이용하여 성장시킨 B $i_2$S $r_2$Ca(C $u_{1-x}$ N $i_{x}$ )$_2$ $O_{8+}$$\delta$/ 막(film)을 break junction 법을 이용하여 터널링 분광을 측정하였다. Ni 조성비 $\chi$$_{L}$의 증가에 따라 에너지 간격 2$\Delta$의 크기는 증가하였다. 에너지 간격 2$\Delta$(4.2 K)는 54.4~64 meV, 2$\Delta$/ $k_{B}$ $T_{c}$ $^{zero}$는 7.36~10.14로 BCS 이론에 의한 값 보다 큰 결과를 얻었다. 융액(melting solution) 속의 Ni 조성비 $\chi$$_{L}$의 증가에 따라, 임계온도 $T_{c}$ $^{zero}$와 격자상수 c-축의 길이는 감소하는 경향을 보였다.을 보였다.$^{zero}$와 격자상수 c-축의 길이는 감소하는 경향을 보였다.

Numerical study on the effect of viscoelasticity on pressure drop and film thickness for a droplet flow in a confined microchannel

  • Chung, Chang-Kwon;Kim, Ju-Min;Ahn, Kyung-Hyun;Lee, Seung-Jong
    • Korea-Australia Rheology Journal
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    • 제21권1호
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    • pp.59-69
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    • 2009
  • The prediction of pressure drop for a droplet flow in a confined micro channel is presented using FE-FTM (Finite Element - Front Tracking Method). A single droplet is passing through 5:1:5 contraction - straight narrow channel - expansion flow domain. The pressure drop is investigated especially when the droplet flows in the straight narrow channel. We explore the effects of droplet size, capillary number (Ca), viscosity ratio ($\chi$) between droplet and medium, and fluid elasticity represented by the Oldroyd-B constitutive model on the excess pressure drop (${\Delta}p^+$) against single phase flow. The tightly fitted droplets in the narrow channel are mainly considered in the range of $0.001{\leq}Ca{\leq}1$ and $0.01{\leq}{\chi}{\leq}100$. In Newtonian droplet/Newtonian medium, two characteristic features are observed. First, an approximate relation ${\Delta}p^+{\sim}{\chi}$ observed for ${\chi}{\geq}1$. The excess pressure drop necessary for droplet flow is roughly proportional to $\chi$. Second, ${\Delta}p^+$ seems inversely proportional to Ca, which is represented as ${\Delta}p^+{\sim}Ca^m$ with negative m irrespective of $\chi$. In addition, we observe that the film thickness (${\delta}_f$) between droplet interface and channel wall decreases with decreasing Ca, showing ${\delta}_f{\sim}Ca^n$ Can with positive n independent of $\chi$. Consequently, the excess pressure drop (${\Delta}p^+$) is strongly dependent on the film thickness (${\delta}_f$). The droplets larger than the channel width show enhancement of ${\Delta}p^+$, whereas the smaller droplets show no significant change in ${\Delta}p^+$. Also, the droplet deformation in the narrow channel is affected by the flow history of the contraction flow at the entrance region, but rather surprisingly ${\Delta}p^+$ is not affected by this flow history. Instead, ${\Delta}p^+$ is more dependent on ${\delta}_f$ irrespective of the droplet shape. As for the effect of fluid elasticity, an increase in ${\delta}_f$ induced by the normal stress difference in viscoelastic medium results in a drastic reduction of ${\Delta}p^+$.

용존유기탄소의 δ13C : 분석시 고형화 전처리 방법 비교 알칼린 과황산칼륨산화 탄산침전과 동결건조 (Comparison of Solidification Pre-treatment Methods for the Determination of δ13C of Dissolved Organic Carbon: Alkaline Persulfate Oxidation-Carbonate Precipitation vs. Freeze Drying)

  • 전병준;박현진;최우정;박용세;이상모;윤광식
    • 한국환경농학회지
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    • 제36권2호
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    • pp.113-118
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    • 2017
  • DOC의 ${\delta}^{13}C$은 수질 오염원 규명에 활용할 수 있는 매우 유용한 지표이다. 본 연구에서는 안정성동위원소비 질량분석기(EA-SIRMS)를 이용하여 DOC의 ${\delta}^{13}C$을 분석할 때 사용하는 두 가지 전처리방법 (과황산칼륨산화-$SrCO_3$침전법과 동결건조법)의 정확도를 비교 평가하였다. 표준물질로는 글루코스(${\delta}^{13}C$; $-12.0{\pm}0.02$‰)와 돈분퇴비 침출액 건조분말(${\delta}^{13}C$; $-23.3{\pm}0.04$‰)을 사용하였다. 과황산칼륨산화-$SrCO_3$ 침전법에서는 용액의 알칼리성에 의해 DIC 제거가 어렵고 공기 중 $CO_2$의 영향에 의해 시료가 오염되어 분석결과의 정확도가 매우 낮았다. 반면, 동결건조법은 산 첨가에 의해 제거가 가능하였고, 측정값과 이론값의 상관관계가 매우 높아 실험조건별로 표준물질을 이용하여 측정값을 이론값에 근접하게 보정할 수 있는 것으로 나타났다. 따라서, EA-SIRMS를 이용하여 DOC의 ${\delta}^{13}C$ 분석시 동결건조법으로 시료를 전처리하면 분석결과의 정확도를 증대시킬 수 있을 것으로 판단된다.