• Title/Summary/Keyword: Two-Dimensional Curve-Fitting

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The Performance Assessment of a Straight-Type Five-Hole Pressure Probe Using a Zone Partition and Two-Dimensional Curve-Fitting Functions (영역분할과 2차원 커브피팅 함수들을 이용하는 직선형 5공 압력프로브의 성능 평가)

  • Kim, Jang-Kweon;Oh, Seok-Hyung
    • Journal of Power System Engineering
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    • v.18 no.1
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    • pp.22-31
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    • 2014
  • This paper introduced the new calibration algorithm of a straight-type five-hole pressure probe necessary for calculating three-dimensional flow velocity components. The new velocity data reduction method using both a commercial two-dimensional curve-fitting program and the zone partition method of a calibration map was firstly introduced in this study. This new calibration method can be applied up to the wide flow angle of ${\pm}80^{\circ}$ despite of using a five-hole pressure probe because this data reduction method showed a comparatively good performance in calculating yaw and pitch angles from the calibration map.

Three Dimensional Thermal Cycle Analysis of Mold in Repeated Forming Process of TV Glass (TV 유리의 반복 성형공정에서 3차원 금형 열사이클 해석)

  • Hwang, Jung-Hea;Choi, Joo-Ho;Kim, Jun-Bum
    • Proceedings of the KSME Conference
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    • 2000.11b
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    • pp.192-198
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    • 2000
  • Three dimensional thermal cycle analysis of the plunger is carried out in repeated forming process of the TV glass, which is continued work of two dimensional analysis where an efficient method has been proposed. The plunger undergoes temperature fluctuation during a cycle due to the repeated contact and separation from the glass, which attains a cyclic steady state having same temperature history at every cycle. Straightforward analysis of this problem brings about more than 90 cycles to get reasonable solution. An exponential function fitting method is proposed, which finds exponential function to best approximate temperature values of 3 consecutive cycles, and new cycle is restarted with the fitted value at infinite time. Number of cases are analyzed using the proposed method and compared to the result of straightforward repetition, from which one finds that the method always reaches nearly convergent solution within $9{\sim}12$ cycles, but turns around afterwards without further convergence. Two step use is found most efficient, in which the exponential fitting is carried out fer the first 12 cycles, followed by simple repetition, which shows fast convergence expending only 6 additional cycles to get the accuracy within 2 error. This reduces the computation cycle remarkably from 90 to 18, which is 80% reduction. From the parametric studies, one reveals that the overall thermal behavior of the plunger in terms of cooling parameters and time is similar to that of 2 dimensional analysis.

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Electrochemical Aspects of Lithium and Sodium Intercalation into Two Dimensional FeMo$O_4$Cl (리튬과 소듐이 층간삽입된 FeMo$O_4$Cl의 전기화학적 성질)

  • Chang, Soon Ho;Song, Seung Wan;Choy, Jin Ho
    • Journal of the Korean Chemical Society
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    • v.41 no.9
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    • pp.488-494
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    • 1997
  • Lithium and sodium ions have been intercalated into two dimensional structure of $FeMoO_4Cl$. The electronic localization and the large difference in unit cell parameter between the pristine material and the intercalates lead to the existence of large biphased domains. In the case of the lithium system, a narrow range of $Li_xFeMoO_4Cl$ ($0.95{\leq}x{\leq}1.06$) solid solution has been found around the $LiFeMoO_4Cl$ composition. The OCV curve fitting has been performed using Armand's model. The occurrence of several parts in the charge-discharge curve is related to the electronic and structural modifications of the material during the intercalation process.

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Stress analysis of ventricular myocarda according to heart pressure in diastole using finite element method (유한요소법을 이용하여 확장기때 압력에 따른 심실심근의 응력 해석)

  • Han, Geun-Jo;Kim, Sang-Hyun;Shin, Jung-Woog
    • Proceedings of the KOSOMBE Conference
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    • v.1994 no.05
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    • pp.131-135
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    • 1994
  • In order to study the shape and dimensions of heart, the procedures to reconstruct a three dimensional left ventricular geometry from two dimensional echocardiographic images is studied including the coordinate transformation, curve fitting and interpolation utilizing three dimensional position registration arm. Nonlinear material property of the left ventricular myocardium was obtained by finite element method performed on the reconstructed geometry and optimization techniques which compare the computer predicted 3D deformation with the experimentally determined deformation. Afterwards using the obtained nonlinear material propertry the stress distribution related with oxyzen consumption rate was analyzed.

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System Design and Camera Calibration of Slit Beam Projection for Maximum Measuring Accuracy (슬릿광 3차원 형상측정에서 측정분해능 최적화를 위한 시스템설계 및 카메라보정)

  • 박현구;김명철;김승우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.5
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    • pp.1182-1191
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    • 1994
  • This paper presents an enhanced method of slit beam projection intended for the rapid measurement of 3-dimensional surface profiles of dies and molds. Special emphasis is given to optimizing the design of optical system so that the measuring accuracy can be maximized by adopting two-plane camera calibration together with sub-pixel image processing techniques. Finally, several measurement examples are discussed to demonstrate that an actual measuring accuracy of $\pm$ 0.2 mm can be achieved over the measuring range of 500 mm{\times}300mm{\times}200mm$.

A Finite Element Investigation of the Permittivity of Particulates (유전체 상수의 유한요소 시뮬레이션)

  • Braunstein, Jeffrey;Kwak, Yong-Soo;Kim, Hyeong-Seok;Park, Jun-Seok
    • Proceedings of the KIEE Conference
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    • 2005.07c
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    • pp.2297-2299
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    • 2005
  • In this paper, a finite element (FEM) investigation of composite materials is studied. A pemittivity profile of the material is implemented to correspond to the Packing fraction of the physical composite. Curve fitting is applied to the standing wave pattern to determine the effective attenuation coefficient and propagation constant in the composite. The complex permittivity as a function of packing density is then determined. A comparison between the two dimensional and three dimensional measurement simulations is presented. An adaptive scheme is implemented to improve resolution of the finite element particulates.

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Assessment of flood runoff using radar rainfall and distributed model (레이더 강우 자료와 분포형 모형을 이용한 홍수 유출량 산정)

  • Kim, Byung-Sik;Hong, Jun-Bum;Kim, Won;Yoon, Seok-Young
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1783-1787
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    • 2007
  • In this paper we applied radar rainfall for assessment that radar can be used for flood forecasting. The radar data observed at Imjin-River radar site was adjusted using conditional merging method to estimate simulated runoff in Anseon-cheon basin. Also we use two dimensional physical and grid based model call $Vflo^{TM}$. As a result we could find simulated hydrologic curve shows good fitting with observed hydrologic curve even parameters of the model were not calibrated. If we calibrate the parameters, we can expect better hydrologic curve. And radar rainfall can be used for water resources fields and flood forecasting in Korea.

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Method of Deciding Elastic Modulus of Left and Right Ventricle Reconstructed by Echocardiography Using Finite Element Method and Stress Analysis

  • Han, Geun-Jo;Kim, Sang-Hyun
    • Journal of Biomedical Engineering Research
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    • v.15 no.2
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    • pp.217-224
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    • 1994
  • In order to study the shape and dimensions of heart, a procedure to reconstruct a three dimensional left ventricular geometry from two dimensional echocardiographic images was studied including the coordinate transformation, curve fitting and interpolation utilizing three dimensional position registration arm. Nonlinear material property of the left ventricular myocardium was obtained by finite element method performed on the reconstructed geometry and by optimization techniques which compared the computer predicted 3D deformation with the experimentally determined deformation. Elastic modulus ranged from 3.5g/$cm^2$ at early diastole to l53g/$cm^2$ at around end diastole showing slightly nonlinear relationship between the modulus and the pressure. Afterwards using the obtained nonlinear material propertry the stress distribution related with oxyzen consumption rate was analyzed. The maximum and minimum of ${\sigma}_1$ (max. principal stress) occurred at nodes on the second level intersection points of x-axis with endocardium and with epicardium, respectively. And the tendency of the interventricular septum to be flattened was observed from the compressive ${\sigma}_1$ on the anterior, posterior nodes of left ventricle and from the most significant change of dimension in $D_{RL}$ (septal-lateral dimension of right ventricle).

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Evaluation of Ductile Fracture Characteristics Based on Local Approach (국부접근법에 입각한 연성재료의 파괴특성 평가)

  • Lee, Tae-Rin;Chang, Yoon-Suk;Choi, Jae-Boong;Kim, Young-Jin
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.49-54
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    • 2004
  • Several cell models, so-called local approach, have been proposed as engineering approaches to numerically simulate ductile fracture characteristics. In this paper, two- and three-dimensional finite element analyses incorporating both modified GTN and Rousselier models were carried out. Smooth and notched bars and CT25 specimens were assessed for StE460 and DIN22NiMoCr37 materials which were quoted from previous researches. Micro-mechanical parameters used in the assessment were established by fitting the numerical results with the experiments, and J-R curves derived from the simulations were found to be in good agreement with the corresponding experimental results.

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A Parametric Study of Displacement Measurements Using Digital Image Correlation Method

  • Ha, Kuen-Dong
    • Journal of Mechanical Science and Technology
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    • v.14 no.5
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    • pp.518-529
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    • 2000
  • A detailed and thorough parametric study of digital image correlation method is presented. A theoretical background and development of the method were introduced and the effects of various parameters on the determination of displacement outputs from the raw original and deformed image information were examined. Use of the normalized correlation coefficient, the use of 20 to 40 pixels for a searching window side, 6 variables searching, bi-cubic spline sub pixel interpolations and the use of coarse-fine search are some of the key choices among the results of parametric studies. The displacement outputs can be further processed with two dimensional curve fitting for the data noise reduction as well as displacement gradient calculation.

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