• 제목/요약/키워드: second-order

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하중증폭계수를 적용한 비가새 골조 2차 해석 평가 (Evaluation of the Second Order Analysis of Unbraced Frame by using load amplification factor)

  • 김희동;이명재
    • 한국강구조학회 논문집
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    • 제21권6호
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    • pp.627-636
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    • 2009
  • 본 연구는 강구조 설계기준에서 제시하고 있는 하중증폭계수를 적용한 2차 해석법의 타당성을 해석적 방법을 통해 평가하는데 그 목적이 있다. 이를 위해 KBC 2005에서 제안하고 있는 B1 및 B2 계수를 적용한 2차 해석과 KBC 2009(안)에서 제안하고 있는 하중증폭계수를 적용한 직접해석을 3층 1스팬 및 5층 3스팬 비가새 강구조 골조에 대해 실시하고, 그 해석 결과를 2차 비선형 해석 결과와 비교하여 기준에서 제안된 2차 해석법들을 평가하였다. 해석의 주요 변수로는 골조의 규모, 기둥의 축력비, 해석방법 등이 적용되었다. 연구 결과 고축력 조건시 KBC 2005에서 제안된 하중증폭계수를 적용한 2차 해석은 2차 효과의 영향을 적절하게 고려하지 못하나 KBC 2009(안)에서 제안된 직접해석법의 경우 적절한 수준에서 2차 효과를 고려하고 있는 것으로 나타났다.

Palm Oil Mill Effluent 처리 시 Anaerobic Hybrid Reactor의 기질 제거 Kinetics 비교 (A Comparison of Substrate Removal Kinetics of Anaerobic Reactor systems treating Palm Oil Mill Effluent)

  • 오대양;신창하;김태훈;박주양
    • 상하수도학회지
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    • 제25권6호
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    • pp.971-979
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    • 2011
  • Palm Oil Mill Effluent (POME) is the mixed organic wastewater generated from palm oil industry. In this study, kinetic analysis with treating POME in an anaerobic hybrid reactor (AHR) was performed. Therefore, the AHR was monitored for its performances with respect to the changes of COD concentrations and hydraulic retention time (HRT). Batch tests were performed to find out the substrate removal kinetics by granular sludge from POME. Modified Stover Kincannon, First-order, Monod, Grau second-order kinetic models were used to analyze the performance of reactor. The results from the batch test indicate that the substrate removal kinetics of granular sludge is corresponds to follow Monod's theory. However, Grau second-order model were the most appropriate models for the continuous test in the AHR. The second order kinetic constant, saturation value constant, maximum substrate removal rate, and first-order kinetic constant were 2.60/day, 41.905 g/L-day, 39.683 g/L-day, and 1.25/day respectively. And the most appropriate model was Grau second-order kinetic model comparing the model prediction values and measured COD concentrations of effluent, whereas modified Stover-Kincannon model showed the lowest correlation.

QUASILINEARIZATION FOR SECOND ORDER SINGULAR BOUNDARY VALUE PROBLEMS WITH SOLUTIONS IN WEIGHTED SPACES

  • Devi, J.Vasundhara;Vatsala, A.S.
    • 대한수학회지
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    • 제37권5호
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    • pp.823-833
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    • 2000
  • In this paper, we develop the method of quasilinearization comvined with the methos of upper and lower solutions for singular second order boundary value problems in weighted spaces. The sequences constructed converge uniformly and monotonically to the unique of the second singular order boundary value problem. Further we prove the rate of convergence is quadratic.

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Second-Order Stationary 방법 기반의 반복적 역상관기의 수렴특성 분석 (Convergence Analysis of an Iterative Decorrelator based on the Second-Order Stationary Method)

  • 백시윤;임성빈
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2001년도 제14회 신호처리 합동 학술대회 논문집
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    • pp.955-958
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    • 2001
  • 본 논문에서는 비동기 CDMA 시스템에서 다중접속에 의한 간섭을 제거하는 역상관기 중에서 반복 연산을 사용하여 계산량을 개선한 second-order stationary 기반의 반복적 역상관기와 수렴특성에 대하여 이론적으로 분석하고 모의실험을 통하여 성능을 검증하였다. 먼저 반복적 역상관기에서 수렴특성을 결정하는 수렴 인자를 유도하고 가장 빠른 수렴 특성을 보장하는 최적의 수렴상수를 상관행렬의 최대 및 최소 고유값으로 나타낼 수 있음을 증명하였다. 또한 최적의 수렴 상수와 반복회수에 따른 BER이 기존의 역상관기와 비슷한 성능을 가짐을 보였다.

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TWO-SCALE CONVERGENCE FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS

  • Pak, Hee-Chul
    • 대한수학회논문집
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    • 제18권3호
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    • pp.559-568
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    • 2003
  • We introduce the notion of two-scale convergence for partial differential equations with random coefficients that gives a very efficient way of finding homogenized differential equations with random coefficients. For an application, we find the homogenized matrices for linear second order elliptic equations with random coefficients. We suggest a natural way of finding the two-scale limit of second order equations by considering the flux term.

Construction of Second Order Slope Rotatable Designs Using Symmetrical Unequal Block Arrangements with Two Unequal Block Sizes

  • Babu, B.Re.Victor
    • Journal of the Korean Statistical Society
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    • 제31권2호
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    • pp.153-161
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    • 2002
  • A new method of construction of second order slope rotatable designs (SOSRD) using symmetrical unequal block arrangements (SUBA) with two unequal block sizes is suggested. The proposed method may sometimes lead to designs with less number of design points than those available in the literature. Further, bounds for the parameters of SOSRD are also obtained.

RICCATI EQUATION IN QUADRATIC OPTIMAL CONTROL PROBLEM OF DAMPED SECOND ORDER SYSTEM

  • Ha, Junhong;Nakagiri, Shin-Ichi
    • 대한수학회지
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    • 제50권1호
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    • pp.173-187
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    • 2013
  • This paper studies the properties of solutions of the Riccati equation arising from the quadratic optimal control problem of the general damped second order system. Using the semigroup theory, we establish the weak differential characterization of the Riccati equation for a general class of the second order distributed systems with arbitrary damping terms.

IDENTIFICATION PROBLEMS FOR THE SYSTEM GOVERNED BY ABSTRACT NONLINEAR DAMPED SECOND ORDER EVOLUTION EQUATIONS

  • Ha, Jun-Hong;Nakagiri, Shin-Ichi
    • 대한수학회지
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    • 제41권3호
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    • pp.435-459
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    • 2004
  • Identification problems for the system governed by abstract nonlinear damped second order evolution equations are studied. Since unknown parameters are included in the diffusion operator, we can not simply identify them by using the usual optimal control theories. In this paper we present how to solve our identification problems via the method of transposition.

Oscillation of Certain Second Order Damped Quasilinear Elliptic Equations via the Weighted Averages

  • Xia, Yong;Xu, Zhiting
    • Kyungpook Mathematical Journal
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    • 제47권2호
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    • pp.191-202
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    • 2007
  • By using the weighted averaging techniques, we establish oscillation criteria for the second order damped quasilinear elliptic differential equation $$\sum_{i,j=1}^{N}D_i(a_{ij}(x){\parallel}Dy{\parallel}^{p-2}D_jy)+{\langle}b(x),\;{\parallel}Dy{\parallel}^{p-2}Dy{\rangle}+c(x)f(y)=0,\;p>1$$. The obtained theorems include and improve some existing ones for the undamped halflinear partial differential equation and the semilinear elliptic equation.

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