• Title/Summary/Keyword: Curve Fitting Method

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The Optimization of Hyperbolic Settlement Prediction Method with the Field Data for Preloading on the Soft Ground (쌍곡선법을 이용한 계측 기반 연약지반 침하 거동 예측의 최적화 방안)

  • Choo, Yoon-Sik;Kim, June-Hyoun;Hwang, Se-Hwan;Chung, Choong-Ki
    • Journal of the Korean Geotechnical Society
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    • v.26 no.7
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    • pp.147-159
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    • 2010
  • The settlement prediction is very important in preloading method for a construction site on the soft ground. At the design stage, however, it is hard to predict the settlement exactly due to limitations of the site survey. Most of the settlement prediction is performed by a regression settlement curve based on the field data during construction. In Korea, hyperbolic method has been most commonly used to align the settlement curve with the field data, because of its simplicity and many application cases. The results from hyperbolic method, however, may differ by data selections or data fitting methods. In this study, the analyses using hyperbolic method were performed about the field data of $\bigcirc\bigcirc$ site in Pusan. Two data fitting methods, using an axis transformation or an alternative method which is a direct regression method, were applied with various data groups. If data was used only after the ground water level being stabilized, fitting results using both methods were in good agreement with the measured data. Regardless of the information about the ground water level, the alternative method gives better results with the field data than the method using an axis transformation.

A Study on the Development of CAD/CAM System for High Precision Cam Profile CNC Grinding Machine (고 정밀 캠 프로파일 CNC 연삭기용 CAD/CAM 시스템 개발에 관한 연구)

  • Lim, Sang-Heon;Jung, Jong-Yun;Lee, Choon-Man
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.15 no.5
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    • pp.44-50
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    • 2006
  • Cam mechanisms are one of the most popular devices for generating irregular motion and are widely used in many automatic equipments, such as textile machinery, internal combustion engines and other automatic devices. In order to obtain the positive motion of follower by rotating cam, its shape should be correctly designed and manufactured. In present paper, a CAD/CAM system is developed for shape design of disk cams using relative velocity method and NC code generation using the biarc curve interpolation. And, a disk cam is successfully manufactured by the developed CAD/CAM system. Thus, it is shown that the developed CAD/CAM system can be used for high precision cam profile CNC grinding machine.

True Stress-True Strain Curve Fitting Methodology for Finite Element Analysis (유한요소해석을 위한 재료의 진응력-진변형률 커브 피팅 방법론)

  • Kim, Y.J.;Gu, G.H.;Seo, M.H.;Kim, H.S.
    • Transactions of Materials Processing
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    • v.31 no.4
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    • pp.194-199
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    • 2022
  • In finite element method (FEM) simulations, constitutive models are widely used and developed to represent a wide range of true stress-strain curves using a small number of modeling parameters. Nevertheless, many studies has been conducted to find a suitable constitutive model and optimal modeling parameters to represent experimentally obtained true stress-strain curves. Therefore, in this study, a new constitutive modeling approach using the combined Swift and Voce model is suggested, and confirmed through comparisons of the experimental results with the FEM simulation results.

Analysis of bridging Stress Effect of Polycrystlline Aluminas Using Double Cantilever Beam Method (Double Cantilever Beam 방법을 이용한 다결정 알루미나의 Bridging 응력효과 해석 III. 다결정 알루미나의 Bridging 응력분포)

  • 손기선;이성학;백성기
    • Journal of the Korean Ceramic Society
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    • v.33 no.5
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    • pp.602-615
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    • 1996
  • The purpose of the present study is to investigate the microstructural effect on the R-curve behavior in three aluminas with different grain size distributions by analyzing the bridging stress distribution. The crack opening displacement (COD) according to the distance behind the stationary crack tip was measured using an in situ SEM fracture method. The measured COD values in the fine-grained alumina agreed well with Wiederhorn's sollution while they deviated from Wiederhorn's solution in the two coarse-grained aluminas because of the increase of the crack closure due to the grain interface bridging in the crack wake. A numerical fitting procedure was conducted by the introduction of the power-law relation and the current theoretical model together with the measured COD's in order to obtain the bridging stress distribution. The results indicated that the bridging stress function and the R-curve computed by the current model were consistent with those computed by the power-law relation providing a reliable evidence for the bridging stress analysis of the current model. The strain-softening exponent in the power-law relation n, was calculated to be in the range from 2 to 3 and was closely related to the grain size distribution. Thus it was concluded from the current theoretical model that the grain size distribution affected greatly the bridging stress distribution thereby resulting in the quantitative analysis of microfracture of polycrystalline aluminas through correlating the local-fracture-cont-rolling microstructure.

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Pyrolysis kinetics and microstructure of thermal conversion products on toluene soluble component from two kinds of modified pitch

  • Zhu, Yaming;Zhao, Xuefei;Gao, Lijuan;Cheng, Junxia
    • Carbon letters
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    • v.28
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    • pp.38-46
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    • 2018
  • Modified pitch A (MPA) and modified pitch B (MPB) were prepared by oxidative polymerization and thermal polycondensation reaction with refined pitch as the raw material, respectively. The toluene soluble components (TS-1 and TS-2) were obtained by solvent extraction from MPA and MPB, separately. The Flynn-Wall-Ozawa method and Kissinger-Akahira-Sunose method were used to calculate the pyrolysis activation energy of TS. The Satava-Sestak method was used to investigate the pyrolysis kinetic parameters of TS. Moreover, the optical microstructure of the thermal conversion products (TS-1-P and TS-2-P) by calcination shows that TS-1-P has more contents of mosaic structure and lower contents of fine fiber structure than TS-2-P. The research result obtained by a combination of X-ray diffraction and the curve-fitting method revealed that the ratios of ordered carbon crystallite (Ig) in TS-1-P and TS-2-P were 0.3793 and 0.4417, respectively. The distributions of carbon crystallite on TS-1-P and TS-2-P were calculated by Raman spectrum and curve-fitting analysis. They show that the thermal conversion product of TS-2 has a better graphite crystallite structure than TS-1.

Phasor Estimation Algorithm Based on the Least Square Technique during CT Saturation

  • Lee, Dong-Gyu;Kang, Sang-Hee;Nam, Soon-Ryul
    • Journal of Electrical Engineering and Technology
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    • v.6 no.4
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    • pp.459-465
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    • 2011
  • A phasor estimation algorithm based on the least square curve fitting technique for the distorted secondary current due to current transformer (CT) saturation is proposed. The mathematical form of the secondary current during CT saturation is represented as the scaled primary current with magnetizing current. The information on the scaled primary current is estimated using the least square technique, with the measured secondary current in the saturated section. The proposed method can estimate the phasor of a fundamental frequency component during the saturated period. The performance of the algorithm is validated under various fault and CT conditions using a C400 CT model. A series of performance evaluations shows that the proposed phasor estimation algorithm can estimate the phasor of the fundamental frequency component with high accuracy, regardless of fault conditions and CT characteristics.

A Current Compensation Algorithm for a CT Saturation (CT 포화 복원 알고리즘)

  • Yi, Xiao-Li;Kang, Sang-Hee;Lee, Dong-Gyu;Kang, Yong-Cheol
    • Proceedings of the KIEE Conference
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    • 2003.11a
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    • pp.88-90
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    • 2003
  • In this paper, an algorithm to compensate the distorted signals due to CT(Current Transformer) saturation is suggested. Firstly, WT(Wavelet Transform) is used to detect a start point and an end point of saturation. Filter banks which can be easily realized in real-time applications are employed in detecting CT saturation. Secondly, least-square curve fitting method is used to restore the distorted section of the secondary current. Fault simulations are performed on a power system model using EMTP(Electromagnetic Transient Program). A series of test results indicate that WT has superior detection accuracy and the proposed algorithm which shows very stable features under various levels of remanent flux is also satisfactory.

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A Study on Aesthetic Characteristics of Drapery Costume (드레이퍼리 의상의 미적 특성)

  • Ahn, Sun-Hee;Lee, Myoung-Hee
    • The Research Journal of the Costume Culture
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    • v.17 no.3
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    • pp.396-406
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    • 2009
  • Drapery costume started with using one fabric to loosely wrap around one's body without using technical skills or needlework. Drapery becomes a beautiful and indeterminate form of pleated costume which determines the costume silhouette and serves as an essential component for the composition of artistic costume. The purpose of this study was to examine the aesthetic characteristics of drapery costume using literature review. The study methods include considerations of the formation process of drapery costume with the analysis of costume in pictures. For modern costume designs, the study analyzed the designer's dress with a focus on drapery forms, which appeared in the collections from 2001 to 2007. First, drapery costume contains the beauty of human body. Drapery costume reveals the smallest movement of the body. The beauty of drapes, which is naturally revealed along the curve of the body, and the pleats which form on the soft cloth create the beauty of body. Second, drapery costume has rhythmical beauty. Drapery pleats feature not only functions, but also unique formativeness that provides rhythmicity and regular or irregular direction effects by line. Third, drapery costume features elegant beauty. Bias cutting by draping can effectively express the elegant characteristics of the fabric. In making a piece of clothing, the composition method can express elegant beauty by covering up the shortcomings of the fitting and by fitting to the body line without cutting the fabric, or fitting it by bias cutting.

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Determination of optical constants for cholesteric liquid crystal films by using transmittance and reflectance spectra (투과 및 반사 스펙트럼을 이용한 콜레스테릭 액정 필름의 광학 상수 결정)

  • 박종락;류기한
    • Korean Journal of Optics and Photonics
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    • v.15 no.1
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    • pp.63-67
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    • 2004
  • We have obtained optical constants for cholesteric liquid crystal (CLC) films by fitting theoretical spectra of transmittance and reflectance with measured ones. Berreman's 4${\times}$4 matrix approach was used for the calculation of theoretical spectra. The fitting method was applied to three samples with different reflection bands and fitted results of refractive indices for CLC samples were compared with measured ones for a parallel-aligned LC sample. It was found that the two results were in fairly good agreement within the error of the fitted results for the three CLC samples.

An Algorithm for Discontinuous Surface Profile Measurement using Wavelength Scanning Interferometer (파장 주사 간섭계를 이용한 불연속면의 표면 형상 측정 알고리즘)

  • 우현구;강철무;조형석
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.7
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    • pp.507-514
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    • 2003
  • Inspection and shape measurement of three-dimensional objects are widely needed in industries for quality monitoring and control. Recently the shape measurement using interferometric principle is found to be a successful methodology among other visual or optical technologies. Especially, the measuring method using wavelength scanning interferometer(WSI) has a great advantage in comparison with other conventional jnterferometric methods in that the absolute distance from the reference surface can be directly obtained from the amount of jnterferometric phase change. However, the measurement methods using WSI proposed by other researchers have low measurement resolution so far because they can't measure fractional phase change. To avoid this shortcoming we propose a new algorithm in this paper, which can obtain a small amount of even fractional phase change by sinusoidal function fitting. To evaluate the effectiveness of the proposed sinusoidal function fitting algorithm, a series of measuring experiments are conducted for discontinuously shaped specimens which have various height. The proposed algorithm shows much more enhanced measurement resolution than other existing conventional algorithms such as zero crossing algorithm and Fourier transform algorithm.