• 제목/요약/키워드: gradient coefficient

검색결과 426건 처리시간 0.026초

Deep learning 이론을 이용한 증발접시 증발량 모형화 (Pan evaporation modeling using deep learning theory)

  • 서영민;김성원
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2017년도 학술발표회
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    • pp.392-395
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    • 2017
  • 본 연구에서는 일 증발접시 증발량 산정을 위한 딥러닝 (deep learning) 모형의 적용성을 평가하였다. 본 연구에서 적용된 딥러닝 모형은 deep belief network (DBN) 기반 deep neural network (DNN) (DBN-DNN) 모형이다. 모형 적용성 평가를 위하여 부산 관측소에서 측정된 기상자료를 활용하였으며, 증발량과의 상관성이 높은 기상변수들 (일사량, 일조시간, 평균지상온도, 최대기온)의 조합을 고려하여 입력변수집합 (Set 1, Set 2, Set 3)별 모형을 구축하였다. DBN-DNN 모형의 성능은 통계학적 모형성능 평가지표 (coefficient of efficiency, CE; coefficient of determination, $r^2$; root mean square error, RMSE; mean absolute error, MAE)를 이용하여 평가되었으며, 기존의 두가지 형태의 ANN (artificial neural network), 즉 모형학습 시 SGD (stochastic gradient descent) 및 GD (gradient descent)를 각각 적용한 ANN-SGD 및 ANN-GD 모형과 비교하였다. 효과적인 모형학습을 위하여 각 모형의 초매개변수들은 GA (genetic algorithm)를 이용하여 최적화하였다. 그 결과, Set 1에 대하여 ANN-GD1 모형, Set 2에 대하여 DBN-DNN2 모형, Set 3에 대하여 DBN-DNN3 모형이 가장 우수한 모형 성능을 나타내는 것으로 분석되었다. 비록 비교 모형들 사이의 모형성능이 큰 차이를 보이지는 않았으나, 모든 입력집합에 대하여 DBN-DNN3, DBN-DNN2, ANN-SGD3 순으로 모형 효율성이 우수한 것으로 나타났다.

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변형량 기울기 이론이 조합된 이중후방응력 경화모델에서의 국부적 소성변형 (Localized Plastic Deformation in Plastic Strain Gradient Incorporated Combined Two-Back Stress Hardening Model)

  • 윤수진;이상연;박동창
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2011년도 제37회 추계학술대회논문집
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    • pp.528-535
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    • 2011
  • 본 논문에서는 변형율 독립 탄-소성 구성방정식을 이용, 전단 변형 하에서의 국부적 소성변형 집중현상이 분석되었다. 또한 변형량 기울기 (strain gradient) 항이 포함된 비구역적 (non-local) 구성방정식이 유도되었으며 이는 다시 이중후방응력 경화 모델로 표현되었다. 더욱이 본 모델은 연속체 파손역학과 조합되었다. 국부적 변형집중 현상은 수치해석을 통해 분석되었으며 변형량 기울기 항이 구성방정식에 포함될 때 본 항의 크기가 증가할수록 전단 밴드의 크기는 감소하는 것으로 밝혀졌다.

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광열변위법을 이용한 반무한 고체의 열확산계수 결정에 대한 이론적 연구 (A Theoretical Study for the Thermal Diffusivity Measurement of Semi-Infinite Solid Using Photothermal Displacement Method)

  • 전필수;이광재;유재석;박영무;이종화
    • 대한기계학회논문집B
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    • 제26권12호
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    • pp.1747-1755
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    • 2002
  • A complete theoretical treatment of the photothermal displacement technique has been performed for thermal diffusivity measurement in semi-infinite solid materials. The influence of the parameters, such as radius and modulation frequency of the heating beam and the thermal diffusivity, was studied. Usually, thermal diffusivity was determined by the deformation angle and phase angle as the relative position between the heating and probe beams. In this study, we proposed the simple analysis method based on the real part of deformation gradient as the relative position between two beams. It is independent in the parameters such as power of heating beam, absorption coefficient, reflectivity, Poisson's ratio, and thermal expansion coefficient.

이중확산 대류계에서의 부력효과에 관한 연구(II) - 이론적 연구 - (A Study on Buoyancy Effects in Double-Diffusive Convecting System(II) - Theoretical Study -)

  • 홍남호;김민찬;현명택
    • 한국해양공학회지
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    • 제13권2호통권32호
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    • pp.129-137
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    • 1999
  • The time of the onset of double-diffusive convection in time-dependent, nonlinear concentration fields is investigated theoretically. The initially quiescent horizontal fluid layer with a uniform temperature gradient experiences a sudden concentration change from below, but its stable thermal stratification affects concentration effects in such way to invoke convective motion. The related stability analysis, including Soret effect, is conducted on the basis of the propagation theory. Under the linear stability theory the concentration penetration depth is used as a length scaling factor, and the similarity transform for the linearized perturbation equations. The newlly obtained stability equations are solved numerically. The resulting critical time to mark the onset of regular cells are obtained as a function of the thermal Rayleigh number, the solute Rayleigh number, and the Soret effect coefficient. For a certain value of the Soret effect coefficient, the stable thermal gradient promote double-diffusive convective motion.

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Semi-numerical simulation for effects of different loadings on vibration behavior of 2D systems

  • Rao, Li;Lin, Chao;Zhang, Chenglin
    • Structural Engineering and Mechanics
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    • 제81권3호
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    • pp.259-266
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    • 2022
  • Based upon differential quadrature method (DQM) and nonlocal strain gradient theory (NSGT), an investigation on the free vibrations of 2D plate systems with nano-dimensions has been provided taking into account the effects of different mechanical loadings. In order to capture different mechanical loadings, a general form of variable compressive load applied in the axial direction of the plate system has been introduced. The studied plate has been constructed from two types of particles which results in graded material properties and nanoscale pores. The established formulation for the plate is in the context of a novel shear deformable model and the equations have been solved via a semi-numerical trend. Presented results indicate the prominence of material composition, nonlocal coefficient, strain gradient coefficient and boundary conditions on vibrational frequencies of nano-size plate.

MULTI SPLITTING PRECONDITIONERS FOR A SYMMETRIC POSITIVE DEFINITE MATRIX

  • Yun Jae-Heon;Kim Eun-Heui;Oh Se-Young
    • Journal of applied mathematics & informatics
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    • 제22권1_2호
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    • pp.169-180
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    • 2006
  • We study convergence of multisplitting method associated with a block diagonal conformable multisplitting for solving a linear system whose coefficient matrix is a symmetric positive definite matrix which is not an H-matrix. Next, we study the validity of m-step multisplitting polynomial preconditioners which will be used in the preconditioned conjugate gradient method.

연직배수공법에 있어서 제강슬래그의 재활용을 위한 투수성 연구 (Considerations of Permeability of Converter Slag for Recycling in vertical drainage method)

  • 이광찬;정규향;김영남;이문수
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2000년도 연약지반처리위원회 학술세미나
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    • pp.93-112
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    • 2000
  • The permeability of converter slag, replacing material of sand mat on improving soft clay foundation, was evaluated in the laboratory. The effects of grain size, flow water time and aging were investigated using sea and fresh water. Converter slag being submerged with fresh water, the coefficients of permeability in A and B samples less than 10mm grain sizes were measured as 6.52${\times}$10$\^$-2/cm/sec and 5.99${\times}$10$\^$-1/cm/sec, while changed as 1.88${\times}$10$\^$-2/cm/sec, 3.86${\times}$10$\^$-1/cm/sec under sea water condition. Also, the condition of turbulent flow may exit and was experimentally identified from the relationship between hydraulic gradient and seepage velocity. After 180 days on using sea water, the coefficients of permeability of sample A and B samples decreased ten times smaller than those initial values. And after that time continually decreased as for till 360 days. The reduction of permeability coefficient was considered to influence filled with voids in high-calcium quicklime(CaO). However, in-situ coefficient of permeability was practically satisfactory.

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연직배수공법에 있어서 제강슬래그의 재활용을 위한 투수성 연구 (Considerations of Permeability of Converter Slag for Recycling in vertical drainage method)

  • 이광찬;정규향;김영남;이문수
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2000년도 연약지반처리위원회 학술세미나
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    • pp.12-31
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    • 2000
  • The permeability of converter slag, replacing material of sand mat on improving soft clay foundation, was evaluated in the laboratory. The effects of grain size, flow water time and aging were investigated using sea and fresh water. Converter slag being submerged with fresh water, the coefficients of permeability in A and B samples less than 10mm grain sizes were measured as 6.52${\times}$10$\^$-2/cm/sec and 5,99${\times}$10$\^$-1/cm/sec, while changed as 1,88${\times}$10$\^$-2/cm/sec, 3.86${\times}$10$\^$-1/cm/sec under sea water condition. Also, the condition of turbulent flow may exit and was experimentally identified from the relationship between hydraulic gradient and seepage velocity. After 180 days on using sea water, the coefficients of permeability of sample A and B samples decreased ten times smaller than those initial values. And after that time continually decreased as for till 360 days. The reduction of permeability coefficient was considered to influence filled with voids in high-calcium quicklime(CaO). However, in-situ coefficient of permeability was practically satisfactory.

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이차원 다중젯트의 유동 및 열전달 특성의 수치적 해석(I) -돌출열원이 없는 경우의 유동특성- (A Numerical Analysis of Flow and Beat Transfer Characteristics of a Two-Dimensional Multi-Impingement Jet(I))

  • 장대철;이기명
    • Journal of Biosystems Engineering
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    • 제20권1호
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    • pp.58-65
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    • 1995
  • A numerical study for a two dimensional multi-jet with crossflow of the spent fluid has been carried out. Three different distributions of mass-flow rate at 5 jet exits were assumed to see their effects upon the flow characteristics, especially in the jet-flow region. For each distribution, various Reynolds numbers ranging from laminar to turbulent flows were considered. Calculations drew the following items as conclusion. 1) The development of the free jets issued from downstream jets was hindered by the crossflow formed due to jets. Consequently, the free jet was developed into the channel flow without any evident symptom of impingement jet flow characteristics 2) The crossflow induced the pressure gradient along the cross section of jet exits and the value of the pressure gradient increased as going downstream. The crossflow generated also the turbulent kinetic energy as it collied with the downstream jets. 3) The skin friction coefficient along the impingement plate was affected more by the distribution of mass flow rate at jet exits rather than by the Reynolds number. The skin friction coefficient was inversely proportional to the square root of the Reynolds number, regardless of flow regime when a fully developed flow was formed in the jet flow region. 4) The distribution of the skin friction coefficient along the impingement plate was found to be controlled by adjusting the distribution of mass flow rate at jet exits.

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Probabilistic bearing capacity of circular footing on spatially variable undrained clay

  • Kouseya Choudhuri;Debarghya Chakraborty
    • Geomechanics and Engineering
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    • 제38권1호
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    • pp.93-106
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    • 2024
  • The present paper investigates the spatial variability effect of soil property on the three-dimensional probabilistic characteristics of the bearing capacity factor (i.e., mean and coefficient of variation) of a circular footing resting on clayey soil where both mean and standard deviation of undrained shear strength increases with depth, keeping the coefficient of variation constant. The mean trend of undrained shear strength is defined by introducing the dimensionless strength gradient parameter. The finite difference method along with the random field and Monte Carlo simulation technique, is used to execute the numerical analyses. The lognormal distribution is chosen to generate random fields of the undrained shear strength. In the study, the potential failure of the structure is represented through the failure probability. The influences of different vertical scales of fluctuation, dimensionless strength gradient parameters, and coefficient of variation of undrained shear strength on the probabilistic characteristics of the bearing capacity factor and failure probability of the footing, along with the probability and cumulative density functions, are explored in this study. The variations of failure probability for different factors of safety corresponding to different parameters are also illustrated. The results are presented in non-dimensional form as they might be helpful to the practicing engineers dealing with this type of problem.