• 제목/요약/키워드: Differential-difference equation

검색결과 195건 처리시간 0.023초

A Study on the Distribution and Time Dependent Change of Wood Temperature by Solar Radiation

  • Xu, Hui Lan;Kang, Wook;Chung, Woo Yang
    • Journal of the Korean Wood Science and Technology
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    • 제37권2호
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    • pp.141-147
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    • 2009
  • The fluctuation of physical properties in wood or wood composites is an important subject when the materials in building and construction. Sorption and desorption occur in wood when exposed to the open air, and the temperature distribution in wood can fluctuate as a result of changes in environmental temperature, solar radiation, humidity, and wind velocity. In this study, the temperature difference and fluctuation caused by outdoor environment among different wood species were analyzed using a numerical method. The effect on the process of heat transfer in wood caused by environmental factors was investigated using 1-dimensional partial differential equation with real boundary and initial conditions. The experimental data have been used to check the accuracy of programming code. Through analysis, it was found out that density and moisture content have a negative effect on thermal diffusivity of wood.

Sensitivity Analysis of Amino Acids in Simulated Moving Bed Chromatography

  • Lee, Ju-Weon;Lee, Chong-Ho;Koo, Yoon-Mo
    • Biotechnology and Bioprocess Engineering:BBE
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    • 제11권2호
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    • pp.110-115
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    • 2006
  • We conducted a sensitivity analysis of the simulated moving bed (SMB) chromatography with the case model of the separation of two amino acids phenylalanine and tryptophan. We consider a four-zone SMB chromatography where the triangle theory is used to determine the operating conditions. Competitive Langmuir isotherm model was used to determine the adsorption isotherm. The finite difference method is used to solve nonlinear partial differential equation (PDE) systems numerically. We examined the effects of alterations in the operating conditions(feed-extract, feed-raffinate, eluent-extract, eluent-raffinate, recycle, and switching time) and the adsorption isotherm parameters (Langmuir isotherm parameters a and b) on SMB efficiency. The variation range of operating conditions and Langmuir isotherm a was between -50 and 50% of original value and the variation range of the Langmuir isotherm b was between $2.25^{-5}$ and $2.25^5$ times of original value.

칼만필터를 이용한 자세결정에 관한 연구 (A Study on Attitude Determination Using Kalman Filter)

  • 기창돈;신동호
    • 한국항행학회논문지
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    • 제2권1호
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    • pp.3-10
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    • 1998
  • GPS는 기존의 주 용용분야인 항법시스템으로서 뿐만 아니라 최근 들어와서는 보정위성항법의 원리와 미지정수(Integer Cycle Ambiguity)결정 알고리즘을 이용하여 GPS수신기와 3~4개의 안테나로 자세결정을 하는데 이용되고 있다. 본 연구에서는 고가의 패치(Patch) 안테나를 장착한 수신기를 사용하지 않고 저가의 수신기 여러 대를 이용하여 자세결정을 할 수 있도록 이중차분(Double Difference)을 한 측정식을 이용하여 칼만필터를 통해 자세결정을 할 수 있는 알고리즘을 제시하고 모의실험을 통해 제시한 알고리즘의 유용성을 고찰한다.

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원통형 압전 변환기의 방사진동 특성 연구 (Characteristics of the Radial Vibration of Cylindrical Piezoelectric Transducers)

  • 황교광;김진오
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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    • pp.1202-1209
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    • 2002
  • This paper presents the characteristics of the radial vibration of cylindrical piezoelectric transducers. The differential equations of piezoelectric radial motion have been derived in terms of the radial displacement and electric potential, which are functions of the radial and axial coordinates. Applying mechanical and electrical boundary conditions has yielded the characteristic equation of radial vibration. Numerical results of the natural frequencies have been compared with the experimental observations reported earlier for the transducers of several sizes, and have shown a good agreement for the fundamental mode. The paper discusses the dependence of the natural frequencies on the radius and thickness of the piezoelectric cylinders and the difference between Piezoelectric and elastic resonances

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직물의 소리가 주관적 감각에 미치는 영향 (Effect of Fabric Sound on Subjective Sensation)

  • 조길수
    • 한국감성과학회:학술대회논문집
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    • 한국감성과학회 1999년도 춘계학술발표논문집 논문집
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    • pp.265-269
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    • 1999
  • This study was carried out to evaluate human subjective sensation for fabric rustling sounds and predict the sensation with quantified sound color measurements and mechanical properties of fabrics. Thirty subjects at Virginia Tech were asked to evaluate seven sound sensation descriptors by semantic differential scale after hearing eight different fabric sounds. Sound measurements were quantified by calculating total sound pressure(LPT), level range(ΔL), and frequency difference (Δf). Mechanical properties of fabrics were measured by KES-FB. Subjective sensation for fabric sound showed significant differences among fabrics except clearness sensation. Subjective sensation predicted by sound measurements showed well fitted regression equation with ΔL and LPT> Sharpness, clearness, and highness were significantly released with mechanical properties of fabrics. All sensation was found to be predicted with sound measurements L:PT and Δf and mechanical properties such as LT, 2HG5, WC, T, and W.

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Study on moisture transport in concrete in atmospheric environment

  • Zhang, Weiping;Tong, Fei;Gu, Xianglin;Xi, Yunping
    • Computers and Concrete
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    • 제16권5호
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    • pp.775-793
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    • 2015
  • Moisture transport in concrete in atmospheric environment was studied in this paper. Based on the simplified formula of the thickness of the adsorbed layer, the pore-size distribution function of cement paste was calculated utilizing the water adsorption isotherms. Taking into consideration of the hysteresis effect in cement paste, the moisture diffusivity of cement paste was obtained by the integration of the pore-size distribution. Concrete is regarded as a two-phase composite with cement paste and aggregate, neglecting the moisture diffusivity of aggregate, then moisture diffusivity of concrete was evaluated using the composite theory. Finally, numerical simulation of humidity response during both wetting and drying process was carried out by the finite difference method of partial differential equation for moisture transport, and the numerical results well capture the trend of the measured data.

NUMERICAL MODELING OF WIRE ELECTROHYDRODYNAMIC FLOW IN A WIRE-PLATE ESP

  • Chun, Young-Nam
    • Environmental Engineering Research
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    • 제11권3호
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    • pp.164-171
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    • 2006
  • Numerical modeling of the flow velocity fields for the near corona wire electrohydrodynamic (EHD) flow was conducted. The steady, two-dimensional momentum equations have been computed for a wire-plate type electrostatic precipitator (ESP). The equations were solved in the conservative finite-difference form on a fine uniform rectilinear grid of sufficient resolution to accurately capture the momentum boundary layers. The numerical procedure for the differential equations was used by SIMPLEST algorithm. The Phoenics (Version 3.5.1) CFD code, coupled with Poisson's electric field, ion transport equations and the momentum equation with electric body force were used for the numerical simulation and the Chen-Kim ${\kappa}-{\varepsilon}$ turbulent model numerical results that an EHD secondary flow was clearly visible in the downstream regions of the corona wire despite the low Reynolds number for the electrode ($Re_{cw}=12.4$). Secondary flow vortices caused by the EHD increases with increasing discharge current or EHD number, hence pressure drop of ESP increases.

유한요소법을 이용한 스위치드 릴럭턴스 모터의 과도특성 해석 (Dynamic Performance Analysis of Switched Reluctance Motors using Finite Element Method)

  • 이준호;이기식
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 A
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    • pp.73-75
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    • 1998
  • In this paper, a transient analysis method of Switched Reluctance Motors(SRM) is presented. The Finite Element Method(FEM) is used to model the nonlinear magnetic field and is coupled to the power circuits and mechanical system. The time derivative term in the differential equation is formulated by the time difference method. The proposed method is applied to a 4 phase 16/12 SRM to study starting characteristics and an fault due to the failure of a transistor in the converter.

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역최적제어(ILQ)를 이용한 열간압연시스템의 루퍼 장력제어기 설계 및 견실성 연구 (A Study on the Design of a Looper Strip Controller and its Robustness for Hot Strip Mills Using ILQ Control)

  • 황이철;김성배
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.93-98
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    • 2001
  • This paper studies on the design of an ILQ(Inverse Linear Quadratic optimal control) looper control system for hot strip mills. The looper which is placed between each stand plays an important role in controlling strip width by regulating strip tension variation generated from the velocity difference of main work rolls. The mathematical model for looper is firstly obtained by Taylor's linearization of nonlinear differential equations, where it is given as a linear and time invariant state-space equation. Secondly, a looper servo controller is designed by ILQ control algorithm, which is an inverse problem of LQ(Linear Quadratic optimal control) control. By tunning control gain arbitration parameters and time constants, it is shown that the ILQ looper servo controller has the performance that makes well to follow desired trajectories of both strip tension and looper angle.

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BARRIER OPTIONS UNDER THE MFBM WITH JUMPS : APPLICATION OF THE BDF2 METHOD

  • Choi, Heungsu;Lee, Younhee
    • 충청수학회지
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    • 제33권1호
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    • pp.165-171
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    • 2020
  • In this paper we consider a mixed fractional Brownian motion (mfBm) with jumps. The prices of European barrier options can be evaluated by solving a partial integro-differential equation (PIDE) with variable coefficients, which is derived from the mfBm with jumps. The 2-step backward differentiation formula (BDF2 method) proposed in [6] is applied with the second-order convergence rate in the time and spatial variables. Numerical simulations are carried out to observe the convergence behaviors of the BDF2 method under the mfBm with the Kou model.