• Title/Summary/Keyword: 2nd Derivative

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Numerical Analysis of Viscous Flow on the Periodic Oscillating Flat Plate using Unsteady CFD Code (비정상 CFD 코드를 이용한 주기성 하모닉 진동 평판 위의 점성유동 수치해석)

  • Lee, Eunseok
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2017.05a
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    • pp.1000-1002
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    • 2017
  • Here, the unsteady Navier-Stokes solver has been developed using implicit dual time stepping method. The implicit dual time stepping method introduced the pseudo time step for solving the new residual including the steady state residual and real time derivative. For the validation of code, Stokes 2nd problem, the laminar flow on the oscillating flat plate was selected and compare the calculating results with analytic solutions. The calculating velocity profile and skin friction has a good agreement with analytic solutions.

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PRELIMINARY STUDY ON NIR SPECTRA OF RETROGRADED STARCH

  • Terazawa, Yoko;Maekawa, Takaaki;Kawano, Sumio
    • Proceedings of the Korean Society of Near Infrared Spectroscopy Conference
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    • 2001.06a
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    • pp.1515-1515
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    • 2001
  • Retrogradation of starch is one of important quality indexes for food based on starch such as rice. Therefore, in this research, possibility of near infrared spectroscopy to determine the degree of the retrogradation was examined. The degree of the retrogradation was indicated as the degree of geratinization analyzed by BAP(-amylase-pullulanase) method. 20 samples which have a wide range of the degree of the retrogradation were prepared and the NIR spectra of the samples were measured in reflectance mode with the NIR Systems 6500. In the correlation plots calculated from the 2nd derivative values of the MSC treated spectra and the degree of the geratinization, the major negative peaks of 1544 nm and 2258 nm, and the major positive peaks of 1460 nm, 1602 nm, 1766 nm and 2136 nm could be observed, indicating that NIR absorption at the positive peak wavelengths became strong while the absorption at the negative peak wavelengths became weak as the degree of the retrogradation increased. Because there is negative correlation between the degree of the retrogradation and the degree of the geratinization. As a result of MLR using the 2nd derivative values of the MSC treated spectra and the degree of the geratinization, good calibration equation which include 2258 nm as the first wavelength and 1764 nm as the second one could be obtained, indicating that NIR spectroscopy has a possibility to detect the retrogradation of starch. In order to find the assignment of the bands observed in the correlation plots, further study may be needed.

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Cascade Observer Design For n-th Order Derivatives of Measured Value (측정신호의 n차 도함수 추정을 위한 축차 관측기 설계)

  • Kim, Eung-Seok;Kim, You-Nam;Lee, Chang-Hoon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.2
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    • pp.80-86
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    • 2001
  • We design a sliding mode cascade observer to estimate derivatives of the output. In the 1st step of the observer, the output will be estimated, and the 1st order derivative of the output will be estimated via the 2nd step of the observer. Also, nth order derivative of the output will be estimated in the n+1th step of the observer. Exponential convergence of the estimation errors is shown under the bounded initial condition. Numerical examples will be presented to show the validity of the proposed observer.

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Determination of Color Value (L, a, b) in Green Tea Using Near-Infrared Reflectance Spectroscopy (근적외 분광분석법을 이용한 녹차의 색도 분석)

  • Lee, Min-Seuk;Choung, Myoung-Gun
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.53 no.spc
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    • pp.108-114
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    • 2008
  • Near infrared spectroscopy (NIRS) is a rapid and accurate analytical method for determining the composition of agricultural products and feeds. The applicability of near infrared reflectance spectroscopic method was tested to determine the color value (L, a, b) of green tea. A total of 162 green tea calibration samples and 82 validation samples were used for NIRS equation development and validation, respectively. In the developed NIRS equation for analysis of the color value (L, a, b), the most accurate equation for L value was obtained at 2, 8, 6, 1 (2nd derivative, 8 nm gap, 6 points smoothing, and 1pointsecond smoothing), and for a, and b value were obtained at 1, 4, 4, 1 (1st derivative, 4 nm gap, 4points smoothing, and 1 point second smoothing) math treatment condition with SNVD (Standard Normal Variate and Detrend) scatter correction method and entire spectrum ($400{\sim}2,500\;nm$) by using MPLS (Modified Partial Least Squares) regression. Validation results of these NIRS equations showed very low bias (L: 0.005%, a: 0.003%, b: -0.013%) and standard error of prediction (SEP, L: 0.361%, a: 0.141%, b: 0.306%) as well as high coefficient of determination ($R^2$, L: 0.905, a: 0.986, b: 0.931). Therefore, these NIRS equations can be applicable and reliable for determination of color value (L, a, b) of green tea, and NIRS method could be used as a mass screening technique for breeding programs and quality control in the green tea industry.

Backstepping Control of Output-feedback Systems Using Cascade Observer (축차 관측기를 이용한 출력 피이드백 시스템의 백스테핑 제어)

  • Kim, Eung-Seok;Kim, Dong-Hun;Hyun, Keun-Ho;Kim, Hong-Pil;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2237-2239
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    • 2001
  • Backstepping procedures for output-feedback of nonlinear systems are considered. For these systems, a sliding mode cascade observer to estimate derivatives of the output is builded. In the 1st step of the observer, the output is estimated, and the 1st order derivative of the output is estimated via the 2nd step of the observer. Also, n-th order derivative of the output is estimated in the n+1th step of the observer. Observer errors and tracking errors converge to a residual set close to zero asymptotically.

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The effects of enamel matrix derivative on the healing of 1-wall intrabony defects in beagle dogs (성견의 1면 골결손부에서 법랑기질 유도체가 치주조직 치유에 미치는 영향)

  • Oh, Je-Ik;Choi, Seong-Ho;Lee, Seung-Won;Cho, Kyoo-Sung;Kim, Chong-Kwan;Chai, Jung-Kiu
    • Journal of Periodontal and Implant Science
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    • v.27 no.4
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    • pp.767-783
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    • 1997
  • Guided tissue regeneration, bone graft procedures, and application of growth factors have been used to regenerate lost periodontal tissues. Recently, enamel matrix derivative has been introduced into periodontal regeneration procedures in expectation of promoting new bone and cementum formation. The purpose' of this study was to evaluate the effect of enamel matrix derivative in 1-wall intrabony defects in beagle dogs. For this purpose, each dog was anesthesized using intravenous anesthesia and mandibular 1st, 3rd premolars were extracted. 2 months later, the 1-wall intrabony defects(mesio-distal width: 4mm, depth: 4mm) were created on the distal side of 2nd premolars and mesial side of 4th premolars. The control group was treated with debridement alone, and experimental group was treated with debridement and enamel matrix derivative application. The healing processes were histologically and histometrically observed after 8 weeks and the results were as follows : 1. The length of junctional epithelium was $0.94{\pm}0.80mm$ in the control group, $0.57{\pm}0.42mm$ in the experimental group, with no statistically significant difference between groups. 2. The connective tissue attachment was $1.36{\pm}0.98mm$ in the control group. $0.38{\pm}0.43mm$ in the experimental group, with statistically significant difference between groups(P<0.05). 3. The new cementum formation was $2.49{\pm}1.06mm$ in the control group, $3.59{\pm}0.74mm$ in the experimental group. with statistically significant difference between groups(P<0.05). 4. The new bone formation was $1.92{\pm}0.97mm$ in the control group, $2.32{\pm}0.59mm$ in the experimental group. with no statistically significant difference between groups. Within the limitation to this study protocol, enamel matrix derivative application in 1-wall intrabony defect enhanced new cementum formation. Although there was no statistically significant difference, enamel matrix derivative also seems to be effective in inhibition of apical migration of junctional epithelium and new bone formation.

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A Study on the Structure and Origin of the Dokdo and it's Surroundings in the East Sea (Japan Sea) Using Magnetic Anomalies (지자기이상을 이용한 동해 독도 및 독도주변의 구조와 성인에 관한 고찰)

  • Kim, Chang-Hwan;Park, Chan-Hong;Min, Kyung-Duck;Han, Hyun-Chul;Kwon, Moon-Sang;Shim, Jae-Seol;Choi, Sung-Ho;Oh, Soon-Bock
    • Ocean and Polar Research
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    • v.24 no.4
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    • pp.491-500
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    • 2002
  • Magnetic anomalies in the Dokdo and it's surroundings were investigated with respect to structure and origin of the Dokdo and surrounding seamounts. After normal and diurnal correction of measured magnetic data, crossover correction was applied to reduce errors between sets of magnetic anomalies. The errors from crossover operation result in decrease of about 51%, from 62.2 nT to 30.1 nT in standard deviation. Reduction-to-the-pole, second vertical derivative and analytic signal processing were applied to explore magnetic anomaly signatures in detail. Magnetic anomalies are most complicated in the 1st-Dok seamount, show SWW-NEE linear pattern in the 2nd-Dok seamount and lower to the 3rd-Dok seamount. Different magnetic anomaly patterns in three seamounts imply that three volcanic seamounts were formed at different times and are composed of rocks that were produced in different conditions. It seems that the 3rd-Dok seamount was first to form and followed by the 1st-Dok seamount. The complicated magnetic and second vertical derivative anomaly patterns in the 1st-Dok seamount may be due to subsidiary cones around crater or the presence of intruded magma bodies below sea surface and the Dokdo is probably a marginal subsidiary part of crater.

Design and Analysis of a Control System for Variable-Rate Application of Granular Fertilizers (입제 비료 변량 살포 제어시스템의 분석 및 설계)

  • Kim Y.H.;Rhee J.Y.;Kim Y.J.;Yu J.H.;Ryu K.H.
    • Journal of Biosystems Engineering
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    • v.31 no.3 s.116
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    • pp.203-208
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    • 2006
  • This study was conducted to improve the control performance of a current variable-rate controller for granular fertilizers. Simulation model was developed. Optimized proportional, integral and derivative gains were determined by simulation model using 2nd order PID gain learning algorithm, and these control gains were evaluated through the field tests. Important results of this study are as follows; 1. Principles of pre-existing variable-rate application of granular fertilizers were investigated. 2. Simulation model of a PID controller that could simulate the control system was developed by using Matlab/Simulink program. The program was to determine PID control coefficients through the simulation model and 2nd order PID gain learning algorithm. 3. PID control coefficients obtained from the simulation were applied to the developed model. When the step input was given, Maximum overshoot were 1.96%, rise time were 0.05 sec, settling time were 0.06 sec and steady state error were 0.21 % respectively. 4. The simulation model was verified through field tests. The errors of maximum overshoot were 10%, rise time were 0.11 sec, settling time were 0.40 sec and steady state error were 8% because of loads and noises. Rise time was decreased to one third of that of the pre-existing system. 5. If the speed of a fertilizing machine is $0.3{\sim}0.6\;m/s$ and the maximum rotation speed of a discharging roller is 64 rpm, rise time would be 0.26 sec and fertilizing machine would cover the distance of $0.07{\sim}0.15\;m$ with settling time of 0.4 sec, fertilizing machine would cover the distance of $0.12{\sim}0.24\;m$.

Radial basis collocation method for dynamic analysis of axially moving beams

  • Wang, Lihua;Chen, Jiun-Shyan;Hu, Hsin-Yun
    • Interaction and multiscale mechanics
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    • v.2 no.4
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    • pp.333-352
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    • 2009
  • We introduce a radial basis collocation method to solve axially moving beam problems which involve $2^{nd}$ order differentiation in time and $4^{th}$ order differentiation in space. The discrete equation is constructed based on the strong form of the governing equation. The employment of multiquadrics radial basis function allows approximation of higher order derivatives in the strong form. Unlike the other approximation functions used in the meshfree methods, such as the moving least-squares approximation, $4^{th}$ order derivative of multiquadrics radial basis function is straightforward. We also show that the standard weighted boundary collocation approach for imposition of boundary conditions in static problems yields significant errors in the transient problems. This inaccuracy in dynamic problems can be corrected by a statically condensed semi-discrete equation resulting from an exact imposition of boundary conditions. The effectiveness of this approach is examined in the numerical examples.

Near Infrared Spectroscopy of LAS (linear alkyl benzene sulfonate) (근적외선 분광분석법을 이용한 LAS (linear alkyl benzene sulfonate)의 정량분석법)

  • 조창희;최병기;김효진
    • Environmental Analysis Health and Toxicology
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    • v.15 no.1_2
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    • pp.39-43
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    • 2000
  • Linear alkyl sulfonates (LAS) constitute a large fraction of the surfactants used in cleaning processes in households, trade and industry Despite the industrial significance and the possible environmental impact of these compounds, the fast and inexpensive determination of LAS concentrations is still a difficult task. In this study, near infrared (NIR) spectroscopy which is a rapid spectroscopic analysis method compared with a traditional analytical method for the measurement of LAS concentration such as HPLC, GC and standard wet chemistry method. NIR spectra of LAS between 0.313 and 25.0% (w/v) in water were utilized to develop a calibration model. The best results (R = 0.998, SEP = 0.244% (w/v)) obtained by using partial least-squares regression with spectral data treatment and 2nd derivatization were comparable to the results (SEC = 0.186% (w/v), SEP = 0.206% (w/v)) obtained by using multiple linear least-squares regression (MLR). However, models based on derivative spectra have no significant advantage with MLR.

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