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ON THE INTEGRAL THEORY OVER DIFFERENTIABLE MANIFOLDS (II)

  • KWAK, HYO-CHUL
    • Honam Mathematical Journal
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    • v.2 no.1
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    • pp.1-8
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    • 1980
  • 논문(論文)[3] (본(本) 논문(論文) 제1부(第1部))에서 미분가능다양체(微分可能多樣體) M 위의 (n-1)차(次) 미분형식(微分型式) ${\beta}^{(n-1)}$이 Compact인 Carrier를 가지면 ${\int}d{\beta}^{(n-1)}=0$이며, (p-1)차(次) 미분형식(微分型式) ${\beta}^{(p-1)}$과 p차(次) 미분가능쇄(微分可能쇄鎖) $C^{(p)}=\Sigma\limits_ik_iS_i{^{(p)}}$에 대(對)하여 ${\int\limits_{c^{(p)}}}d{\beta}^{(p-1)}={\int\limits_{{\partial}{c}^{(p)}}}{\beta}^{(p-1)}$이 성립(成立) (Stokes 정리(定理)의 일반화(一般化))⋯등(等) M위의 적분(積分)에 관한 여러 가지 성질(性質)들을 구명(究明)하였다. 이 성질(性質)들을 토태(土台)로 하여 본(本) 논문(論文)에서는; 제2절(第2節)에서 미분가능다양체(微分可能多樣體) M위의 Lie 도함수(導函數)의 정의(定義)와 Lie적분(微分)에 관(關)한 여러가지 성질(性質)들을 고찰(考察)하고, 제3절(第3節)에서 div X와 Laplace 작용소(作用素) ${\Delta}f$의 정의(定義) 및 실(實) n차원(次元) 가부호미분가능(可符號微分可能) 다양체(多樣體) M 위에서의 divX와 ${\Delta}f$의 적분(積分)에 관(關)한 성질(性質), 즉(卽) $V=\sqrt{{\mid}g{\mid}}dx^1{\Lambda}{\cdots}{\Lambda}dx^n{\in}A^n(M)$에 대(對)하여 $$\int_MdivXV\limits=\int_M{\Delta}fv=0$$인 관계(關係)가 성립(成立)함을 구명(究明)한다. (정리(定理) 3.3)

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원격 탐사용 레이다의 기술동향

  • Kim, Yeong-Su;Chun, Min;Park, Hyeong-Geun
    • The Magazine of the IEIE
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    • v.23 no.10
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    • pp.38-52
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    • 1996
  • 본 원고에서는 원격탐사용으로 사용되는 레이다 중에서 가장 많이 사용되는 Scatterometer에 대해 소개하였다. SAR는 주로 넓은 지역의 레이다 영상을 얻는데 사용되는 소위 영상레이다로서, 기본 구성품은 일반적인 레이다와 크게 다를 바 없으며 거의 모든 부분에서 현재의 state-of-the-art를 크게 벗어나는 요구사항은 없다고 판단된다. 단지 아주 작은 분해능(수십cm정도)을 실시간으로 요구할 때에는 막대한 계산량으로 인한 신호처리에서의 병목 현상을 적절히 해결해야 한다. 본 원고에서는 여러 가지의 SAR 신호처리 방식을 소개하였으며 본 대학에서 수행한 간단한 실험에 적용시킨 결과를 보였다. 또한 현재 많이 발표되고 있는 Interferometric SAR에 대해 간단히 소개하였으며, 마지막으로 레이다 영상으로부터 표적의 제반 특성을 추출하는 inversion algorithm을 개발하거나 기타 여러 연구에 사용될 수 있는 차량 탑재형 Scatterometer에 대해 소개하였다. 본 대학에서 개발중인 POPOS가 완성되면 지금까지 측정되거나 발표된 적이 없는 한국 특유의 표적이나 경작물들의 산란 특성($\sigma^{\circ}$)을 측정할 수 있으며, 또한 현재 관심의 대상이 되고 있는 GPEN 또는 FOPEN 등의 연구에도 크게 도움이 될 수 있으리라 기대된다.

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Ability of non-destructive assay techniques to identify sophisticated material partial defects

  • Lloyd, Cody;Goddard, Braden
    • Nuclear Engineering and Technology
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    • v.52 no.6
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    • pp.1252-1258
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    • 2020
  • This study explores the ability of non-destructive assay techniques to detect a partial material defect in which 100 g of plutonium are diverted from the center of a 1000 g can of PuO2 powder. Four safeguards measurements techniques: neutron multiplicity counting, calorimetry, gravimetry, and gamma ray spectroscopy are used in an attempt to detect the defect. Several materials are added to the partial defect PuO2 can to replicate signatures of the diverted material. 252Cf is used to compensate for the doubles neutron counts, 241Am is used to compensate for the decay heat, and aluminum is used to compensate for the weight. Although, the doubles and triples difference before and after diversion are statistically indistinguishable with the AWCC in fast and thermal mode, the difference in the singles counts are statistically detectable in both modes. The relatively short half-life of 252Cf leads to a decrease (three sigma uncertainty) in the doubles neutron counts after 161 days. Combining this with the precise quantity of 241Am needed (10.7 g) to mimic the heat signature and the extreme precision in 252Cf mass needed to defeat neutron multiplicity measurements gives reassurance in the International Atomic Energy Agency's ability to detect partial material defects.

Optimization of Hot Forging Process of Flange Type Wheel Bearings by Statistical Technique (통계적 기법을 활용한 플랜지형 휠베어링의 열간단조 공정 최적화)

  • Lee, J.S.;Moon, H.K.;Song, B.H.;Hur, B.Y.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2006.05a
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    • pp.434-437
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    • 2006
  • Due to the shape of spindle with small diameter and heavy section, rapid cooling is difficult. It is difficult to fabricate the tapered wheel bearings with fine microstructure. Thus, their mechanical characteristics, such as yield strength and fatigue resistance, decrease. Producing the tapered wheel bearings with good workability during orbital forming after hot forging, hot forging process with several process parameters was optimized by means of statistical technique of Six-Sigma scheme. As a result, the lower heating temperature is, the lower the hardness and yield strength of forgings are. Also, the faster conveyer velocity is, the lower the hardness and yield strength of forgings are. To avoid therefore occurrence of the surface rupture during orbital forming, the heating temperature should be controlled as low as possible and the conveyer velocity should be controlled as fast as possible.

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Determination of Lead(II) at Nation-Coated Glassy Carbon Electrodes Modified by Tetren-Glycerol (Nafion-Tetren-Glycerol이 수식된 유리탄소전극에서 납(II) 이온의 정량)

  • 반옥기;박은희;정근호
    • Journal of Environmental Health Sciences
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    • v.29 no.2
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    • pp.62-68
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    • 2003
  • Differential pulse voltammetry (DPV) using nafion-coated glassy carbon electrodes modified with Tetren(tetraethylene pentamine)-glycerol showed sensitivity for determining lead (II) at low concentration. The Lead (II) was accumulated on the electrode surface by the formation of the complex in an open circuit, and the resulting surface was characterized by medium exchange, electrochemical reduction, and differential pulse voltammetry. Various experimental parameters, such as the composition of modifier, preconcentration time, pH of electrolyte (0.1 M acetate buffer), and parameters of differential pulse voltammetry, were optimized. The initial potential was applied for 50 s, the electrode was scanned from -0.9 to -0.3 V, and the anodic peak current was measured at -0.604 V $\pm$ 0.015 V (vs. Ag/AgCl). The calibration plot was obtained in the range 1.0$\times$10$^{-8}$ M~l.0$\times$10$^{-6}$ M with pH 4.5 buffer solution. The detection limit (3$\sigma$) it as low as 5.0$\times$ 10$^{-9}$ M. This method is applied to the determination of lead(II) in a certified reference material and the result agrees satisfactorily with the certified value.

Study on the characteristics of laminar lifted flames using planar laser induced fluorescence technique (평면 레이저유도 형광법을 이용한 부상화염의 특성 연구)

  • Lee, Byeong-Jun;Jeong, Seok-Ho;Han, Jae-Won
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.11
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    • pp.1393-1402
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    • 1997
  • Characteristics of the lifted flame which is generated by issuing of the fuel through the miniature nozzle, d = 0.164 mm, are studied using the planar laser induced fluorescence technique. OH radical is excited on the $Q_{1}$(8) line of the $A^{2}$.SIGMA.$^{+.leq.X2}$ .PI.(1, 0) band transition (283.55 nm) and LIF signals are captured at the bands of (0, 0) and (1, 1) transition (306 ~ 326 nm) using the filters and ICCD camera. Hydroxyl radical (OH) profile for nozzle attached flame shows that OH radical populations at the flame sides and flame tip are larger than those at the base. But for the lifted flame (tribrachial flame) case, those are larger at the flame base than at the flame tip and flame sides. The OH radical is more dense near the center line of flame base at the blowing out. This fact proves the Chung and Lee's blowout theory-blowout occurs when the flame is anchored at the flame axis. axis.

Initiation and Propagation Behaviors of Micro-Surface-Fatigue Cracks under In-Plane Tension Fatigue Tests (引張 軸荷重 疲勞 에 의한 微小表面 균열 의 發생 . 成長擧動)

  • 서창민
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.1
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    • pp.1-9
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    • 1985
  • In-plane tension fatigue tests (R = 0.05) were carried out to investigate the initiation and propagation behaviors of micro-surface-fatigue cracks on smooth surfaces of a mild steel. Also, the investigations of saturated cyclic strain which can be obtained by the fatigue tests have been made via the cyclic strain intensity factor, .DELTA. $K_{\epsilon}$/, for the purpose of unifying two approaches of the study of fatigue; the one approach is based on the fracture mechanics concept and the other on lowcycle fatigue concept. Some of the results are as follows; The growth rate, d(2a)/dN, of small cracks cannot be represented by one straight line as a function of .DELTA.K for various of the nominal stress range, .DELTA..sigma., and is higher than that of a larger through crack. The rearrangement of the d(2a)/dN by .DELTA..epsilon..root..pi.s( = .DELTA. $K_{\epsilon}$/) with the stress range .DELTA..epsilon. in .DELTA.K replaced by .DELTA..epsilon., strain range, gives one straight line of the .DELTA. $K_{\epsilon}$-d(2a)/dN relation for various values of stress range .DELTA.$_{\epsilon}$../.X>../.

On the mixed-mode crack propagation in FGMs plates: comparison of different criteria

  • Nabil, Benamara;Abdelkader, Boulenouar;Miloud, Aminallah;Noureddine, Benseddiq
    • Structural Engineering and Mechanics
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    • v.61 no.3
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    • pp.371-379
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    • 2017
  • Modelling of a crack propagating through a finite element mesh under mixed mode conditions is of prime importance in fracture mechanics. In this paper, two crack growth criteria and the respective crack paths prediction in functionally graded materials (FGM) are compared. The maximum tangential stress criterion (${\sigma}_{\theta}-criterion$) and the minimum strain energy density criterion (S-criterion) are investigated using advanced finite element technique. Using Ansys Parametric Design Language (APDL), the variation continues in the material properties are incorporated into the model by specifying the material parameters at the centroid of each finite element. In this paper, the displacement extrapolation technique (DET) proposed for homogeneous materials is modified and investigated, to obtain the stress intensity factors (SIFs) at crack-tip in FGMs. Several examples are modeled to evaluate the accuracy and effectiveness of the combined procedure. The effect of the defects on the crack propagation in FGMs was highlighted.

An Optimization Study on Maximizing the Earning Power of Casting Industry for Management through TPI (주물 산업의 수익력 극대화를 위한 관리부문의 TPI 최적화 연구)

  • Kang, Byong-Rho;Lee, Chang-Ho
    • Journal of the Korea Safety Management & Science
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    • v.16 no.3
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    • pp.327-333
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    • 2014
  • Changes in the business environment in which intense and sustained growth and survival must meet a variety of customer needs (Q, C, D) and business side of the enterprise for profit structure reformation is absolutely necessary for innovation activities. So far, management of innovation in method BPR, PI, OVA, 6 Sigma, Strategic Purchasing, PPM, SCM etc. are being introduced. However, they have a limit of partial optimization and improvement-oriented techniques. So this paper studied the TPI(Total Profit Innovation) application in order to derive empirical methodology to maximize profitability for the domestic S foundry factory. To this end, long-term gains through structural analysis and intensity analysis to ensure continued growth and profitability strategy are devised through management Innovation analysis. And improvement projects was presented to solve main issues of five categories(Inventory, Sales Mix, Cost, Quality Cost, Skill and Work-load) We will expect the office productivity improvement and financial performance improvement and then continually accumulate and review the results.

Study on the Microwave Dielectric properties in the Dielectric Rod Resonator Method (유전체 원주공진기법에 의한 고주파 유전특성 측정에 관한 연구)

  • Kim, Kyung-Yong;Kim, Wang-Sup;Choi, Hwan
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.3
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    • pp.471-481
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    • 1995
  • Measurement factors for the dielectric properties of low dielectric loss materials (tan${\dalta}{\le}10^{-4}$) were investigated using the dielectric rod resonator method. It was shown that the relative conductivity (${\sigma}_{r}$) should be controlled within a 5% to obtain the standard deviations of less than 0.07 for permittivity .epsilon.r and 0.06${\times}10^{-4}$ for tan.delta.respectively. Surface resistivity (R$_s$) could be reduced when the surface roughness of parallelled conducting plate was less than 0.07 .mu.m. Measurement error for the permittivity was $\pm$0.02% independent of probe loop size, whereas the error in Q value was reduced with the decrease in probe loop size and also with the increase in the absolute values of Q. Reliable Q values were determined with the probe loop size of less than 4mm. The accurate for the distance between the measuring probe loop and the sample could be obtained when the insertion loss of resonant frequency ranged -15dB - -30dB.

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