• Title/Summary/Keyword: $C^*$적분

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Quantitative Analysis of t-Cinnamaldehyde of Cinnamomum cassia by $^1H-NMR$ Spectrometry ($^1H-NMR$을 이용한 계피의 t-cinnamaldehyde 정량분석)

  • Song, Myoung-Chong;Yoo, Jong-Su;Baek, Nam-In
    • Applied Biological Chemistry
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    • v.48 no.3
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    • pp.267-272
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    • 2005
  • trans-Cinnamaldehyde, a major component of Cinnamomum cassia, was quantitatively analyzed using the $^1H-NMR$ spectrometry. Applicability of this method was confirmed through observing the variation of chemical shift in the $^1H-NMR$ spectrum of t-cinnamaldehyde and the integration value according to various sample concentrations or running temperatures. When the $^1H-NMR$ spectrometry was run for t-cinnamaldehyde (7.1429 mg/ml) at 19, 25, 30, 40 and $50^{\circ}C$, the chemical shifts of the doublet methine signal due to an aldehyde group were observed at 9.7202, 9.7184, 9.7169, 9.7142 and 9.7124 ppm, respectively, to imply that the running temperature had no significant variation in the chemical shift of the signal. The integration values of the signal were $1.37\;(19^{\circ}C),\;1.37\;(25^{\circ}C),\;1.37\;(30^{\circ}C),\;1.37(40^{\circ}C)$ and $1.37(50^{\circ}C)$, respectively, to also indicate running temperature gave no effect on the integration value. When the sample solutions with various concentrations such as 0.4464, 0.8929, 1.7857, 3.5714, 7.1429 and 14.286 mg/ml were respectively measured for the $^1H-NMR$ at $25^{\circ}C$, the chemical shifts of the aldehyde group were observed at 9.7206, 9.7201, 9.7196, 9.7192, 9.7185 and 9.7174 ppm. Even though the signal was slightly shifted to the high field in proportion to the increase of sample concentration, the alteration was not significant enough to applicate this method. The calibration curve for integration values of the doublet methine signal due to the aldehyde group vs the sample concentration was linear and showed very high regression rate ($r^2=1.0000$). Meantime, the $^1H-NMR$ spectra (7.1429 mg/ml $CDCl_3,\;25^{\circ}C$) of t-cinnamaldehyde and t-2-methoxycinnamaldehyde, another constituent of Cinnamomum cassia, showed the chemical shifts of the aldehyde group as ${\delta}_H$ 9.7174 (9.7078, 9.7270) for the former compound and ${\delta}_H$ 9.6936 (9.6839, 9.7032) for the latter one. The difference of the chemical shift between two compounds was big enough to be distinguished using the NMR spectrometer with 0.45 Hz of resolution. The contents of cinnamaldehyde in Cinnamomum cassia, which were respectively extracted with n-hexane, $CHCl_3$, and EtOAc, were determiend as 94.2 \;mg/g (0.94%), 137.6 mg/g (1.38%) and 140.1 mg/g(1.40%) t-cinnamaldehyde in each extract, respectively, by using the above method.

The Thickness Effect on the Determination of Fracture Toughness Jic (파괴인성치 Jic 결정에 대한 시험편 두께의 영향에 관한 연구)

  • 고성위
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.24 no.2
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    • pp.83-93
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    • 1988
  • Recent Experimental results show that the J integral can be effectively used to obtain a valid parameter for predicting plane strain and plane stress fracture. However, only a few research results have been reported for the effect of thickness where the plane strain state can not be assumed. A purpose of this study is to find the behavior of fracture touhness and tearing modulus varing the specimen thickness. The type of specimen in the present study is compact tension (CT). The thicknesses of the low carbon steel specimens that are used in the experiments are 5, 10, 15, 20 and 25mm. The measurement of crack length is taken by optical measurements method. From the study, the followings are found; 1) The fracture toughness and the tearing modulus which are obtained by using Yoon's and Simpson's formula show more conservative than that by using Rice's and Merkel's. 2) The fracture toughness is increase in specimen thickness which is reached 15mm. Beyond this thickness the fracture toughness is decreased in specimen thickness. 3) In the case of CT specimen with the thickness ranging from 5 to 25mm, the tearing modulus which is applied the same J integral equation is almost constant. 4) By using Yoon's formula, the correlation of the plane slress fracture toughness J sub(C) with specimen thickness B is expressed as the following formula. J sub(C)/J sub(IC)=1.7-15.1(B/W)+112.9(B/W) super(2) -301.3(B/W) super(3) +260.6(B/W) super(4)

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Design of 4th Order ΣΔ modulator employing a low power reconfigurable operational amplifier (전력절감용 재구성 연산증폭기를 사용한 4차 델타-시그마 변조기 설계)

  • Lee, Dong-Hyun;Yoon, Kwang-Sub
    • Journal of IKEEE
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    • v.22 no.4
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    • pp.1025-1030
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    • 2018
  • The proposed modulator is designed by utilizing a conventional structure employing time division technique to realize the 4th order delta-sigma modulator using one op-amp. In order to reduce the influence of KT/C noise, the capacitance in the first and second integrators reused was chosen to be 20pF and capacitance of third and fourth integrators was designed to be 1pF. The stage variable technique in the low power reconfigurable op-amp was used to solve the stability issue due to different capacitance loads for the reduction of KT/C noise. This technique enabled the proposed modulator to reduce the power consumption of 15% with respect to the conventional one. The proposed modulator was fabricated with 0.18um CMOS N-well 1 poly 6 metal process and consumes 305uW at supply voltage of 1.8V. The measurement results demonstrated that SNDR, ENOB, DR, FoM(Walden), and FoM(Schreier) were 66.3 dB, 10.6 bits, 83 dB, 98 pJ/step, and 142.8 dB at the sampling frequency of 256kHz, oversampling ratio of 128, clock frequency of 1.024 MHz, and input frequency of 250 Hz, respectively.

Comments on mathematics diagnostic tests and education by level for under achieving first year engineering students (공학인증 기초수학에서 학습부진 학생 학업성취도 향상을 위한 방안 탐색)

  • Chung, Sang-Cho;Park, Joong-Soo;Kim, Tae-Soon
    • Communications of Mathematical Education
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    • v.25 no.3
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    • pp.593-606
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    • 2011
  • We carried out mathematics diagnostic tests for all first year engineering students at C University in Daejeon in 2008, covering precalculus and basic calculus. Then we divided into two classes such as regular and supplementary classes. The supplementary class students are lower 13% students. Then we gave extra classes for these students to support their basic and elementary calculus skills. As a result, these supplementary students received a meaningful accomplishment at the final exam. This paper analyzes the results and effects of various types of supplementary classes such as education by level, and proposes some strategies to enhance mathematics learning, particularly for under achieving first year engineering students.

Numerical simulation of dense interflow using the k-ε turbulence model (k-ε 난류모형을 이용한 중층 밀도류의 수치모의)

  • Choi, Seongwook;Choi, Sung-Uk
    • Journal of Korea Water Resources Association
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    • v.50 no.9
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    • pp.637-646
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    • 2017
  • This study presents a numerical model for simulating dense interflows. The governing equations are provided and the finite difference method is used with the $k-{\varepsilon}$ turbulence model. The model is used to simulate a dense interflow established in a deep ambient water, resulting velocity and excess density profiles. It is observed that velocity decreases in the longitudinal direction due to water entrainment in the vicinity of the outlet and rarely changes for increased Richardson number. Similarity collapses of velocity and excess density are obtained, but those of turbulent kinetic energy and dissipation rate are not. A shape factor for the dense interflow is obtained from the simulated profiles. The value of this shape factor can be used in the layer-averaged modeling of dense interflows. In addition, a buoyancy-related parameter ($c_{3{\varepsilon}}$) for the $k-{\varepsilon}$ model and the volume expansion coefficient (${\beta}_0$) are obtained from the simulated results.

On the Removal of Irregular Frequencies in the Prediction of Ship Motion in Waves (파랑중에서 전진동요하는 선박의 특이파수 억제에 관한 연구)

  • H.Y. Lee;D.J. Yum
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.4
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    • pp.73-81
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    • 1994
  • The source and source/dipole distribution methods using 3-dimensional panel method have been widely used for ship motion analysis. When these methods are used, large errors in the predicted hydrodynamic coefficients are introduced around the irregular frequencies caused by the resonance of imaginary internal flow. Therefore, the irregular frequencies need to be removed for an accurate prediction of ship motion. This paper adopts 3-dimensional translating and oscillating Green function derived by Wu. The adaptive integration method, stretching transform and stationary phase method are used for the calculation of the calculation of Green function and the integral equation is derived by distributing the Green function n ship surface and inner free-surface. The condition of zero normal velocity, that is, wall condition on inner free-surface has been successfully used for the removal of irregular frequencies in oscillating problems. The calculations are carried out for series 60($C_B=0.7$) vessel and the results are compared with those of other theoretical analyses and experiment.

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A Study on Fatigue Crack Growth Behavior at a Creep Temperature Region in SUS 304 Stainless Steel (SUS 304 강의 크리프 온도역에 있어서 피로균열성장거동에 관한 연구)

  • 주원식;오세욱;조석수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.3
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    • pp.548-554
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    • 1994
  • The high temperature fatigue crack growth behavior of SUS 304 stainless steel at $550^{\circ}C$ and $650^{\circ}C$ was investigated under various kinds of stress ratio and frequency in sinusoidal waveform on the basis of the non-linear fracture mechanics. The result arranging crack growth rate by modified J-integral J' showed influence of stress ratio and frequency. All the data obtained under the test at $550^{\circ}C$ were plotted within data band of da/dN-${\triangle}J_f$ relationship for cycle-dependent crack growth. On the basis of static creep and cycle-dependent data band; both time- and cycle-dependent crack growth behavior was observed under loading conditions at $650^{\circ}C$, but cycle-dependent crack growth behavior predominantly appeared and time-dependent crack growth behaviour was little observed under loading conditions at $550^{\circ}C$. Fractographic examinations for fracture surface indicated that the fracture mode was generally transgranular. The stripes were found on fracture surface and each stripe was accompanied by a crack tip blunting and an abrupt increase in the load-point displacement. The $J'_{an}$ had a validity in case of $650^{\circ}C, but scarcely had it in case of $550^{\circ}C$.

Application of Fracture Mechanics Method to Ottshore Structural Crack Instability Analysis (해양구조물의 균열불안정성 해석에 대한 파괴역학의 응용)

  • Rhee, H. C.
    • Journal of Ocean Engineering and Technology
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    • v.1 no.1
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    • pp.94-103
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    • 1987
  • 균열불안정 해석법인 COD설계곡선법과 R6파괴 평가도법에 있어서 그 응용 한계의 확립과 타당성 수준의 정량화를 위해 포괄적인 비교 연구가 수행되었다. 참고로서 J-적분 균열불안정성 해석법이 이용되었다. 본 연구의 결과로서, 균열확장의 유무에 대한 R6 파괴 평가도법이 매우 우수한 방법임을 보여준다. COD 설계곡선법에 대한 영국 표준국 순서에 따른 결과로서는, 큰 스캐터 밴드를 가진 상당량의 부당성 해를 보여준다. 이러한 COD설계곡선법의 해를 개선하기 위한 새로운 접근법이 개발되었고, 그 타당성이 입증되었다.

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Comparative Analysis of PI Controller and Disturbance Cancellation Observer of a Feedforward (비례적분제어기와 feedforward 외란상쇄 관측기의 비교분석)

  • Kim, Young-Choon;Song, Ho-Bin;Cho, Moon-Taek
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.12
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    • pp.3581-3586
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    • 2009
  • This paper designed a robust control of an induction motor using a disturbance cancellation observer of a feedforward control. The speed response of conventional PI controller characteristic is affected by variations of load torque disturbance. In the proposed system, the speed control characteristic used a feedforward control which does not undergo the influence of the load torque disturbance. High speed calculation and processing for vector control is carried out by TMS320C31 digital signal processor. Validity of the proposed control method is verified through simulation and experimental result.