• Title/Summary/Keyword: point bar

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ON POSITIVE DEFINITE SOLUTIONS OF A CLASS OF NONLINEAR MATRIX EQUATION

  • Fang, Liang;Liu, San-Yang;Yin, Xiao-Yan
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.431-448
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    • 2018
  • This paper is concerned with the positive definite solutions of the nonlinear matrix equation $X-A^*{\bar{X}}^{-1}A=Q$, where A, Q are given complex matrices with Q positive definite. We show that such a matrix equation always has a unique positive definite solution and if A is nonsingular, it also has a unique negative definite solution. Moreover, based on Sherman-Morrison-Woodbury formula, we derive elegant relationships between solutions of $X-A^*{\bar{X}}^{-1}A=I$ and the well-studied standard nonlinear matrix equation $Y+B^*Y^{-1}B=Q$, where B, Q are uniquely determined by A. Then several effective numerical algorithms for the unique positive definite solution of $X-A^*{\bar{X}}^{-1}A=Q$ with linear or quadratic convergence rate such as inverse-free fixed-point iteration, structure-preserving doubling algorithm, Newton algorithm are proposed. Numerical examples are presented to illustrate the effectiveness of all the theoretical results and the behavior of the considered algorithms.

On strain measurement of smart GFRP bars with built-in fiber Bragg grating sensor

  • Ju, Minkwan;Park, Kyoungsoo;Moon, Doyoung;Park, Cheolwoo;Sim, Jongsung
    • Structural Engineering and Mechanics
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    • v.65 no.2
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    • pp.155-162
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    • 2018
  • A smart glass fiber reinforced polymer (SMFRP) reinforcing bar with a fiber Bragg grating (FBG) sensor was fabricated using a pultrusion technique, while ribs were formed to improve bonding between concrete and SMFRP. Then, strain of SMFRP bars were measured for a uniaxial tension test of an SMFRP bar, and a four-point bending test of concrete beams reinforced with SMFRP bars. The results of a uniaxial tension test illustrate that the strain obtained from an FBG sensor agrees well with that obtained from electrical resistance strain gauge (ERSG). Additionally, concrete beams reinforced with SMFRP bars were fabricated, and actual flexural test were performed while the strain of with an FBG sensor was compared with that of ERSG. The experimental results demonstrate that SMFRP bars can be used as reinforcement of concrete member while providing deformation information. Furthermore, SMFRP bars may provide stronger durability and smart monitoring to reinforced concrete members under corrosive environments during a service life.

Tow-stage Extraction of Milk Fat by Supercritical Carbon Dioxide

  • Sangbin Lim;Jwa, Mi-Kyung;Kwak, Hae-Soo
    • Preventive Nutrition and Food Science
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    • v.2 no.3
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    • pp.202-206
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    • 1997
  • To develop mil fat fractions with desirable physico-chemical properties, anhydrous milk fat (AMF) was fractionated by one- and two-stage extractions using supercritical $CO_2$(SC-$CO_2$). Tow-stage extraction of AMF was performed by first producing tow fractions, an extract and a residue at 4$0^{\circ}C$/241bar, which were subsequently used as the feed for an extraction at 6$0^{\circ}C$/241bar and 4$0^{\circ}C$/345bar, and separated into five and four fractions, respectively, based one extraction time. These fractions were quantified and analyzed for fatty acids and physico-chemical properties. SHort-chain (C4~C8) fatty acids in extract fractions from an extract were 200~150% compared with those of the original AF. Long-chain (C14~C18) fatty acids in extract fractions from a residue were 118~141%. The ratio of unsaturated fatty acids in the residue fraction was 131%. Melting point ranged from 22 to 43$^{\circ}C$, iodine value 21.8 to 36.9, and saponification value 255 to 221 in the extract and residue fractions. SC-$CO_2$ fractionation of AMF by two-stage extraction offers the possibility of developing ractions with discrete fatty acid compositions and physico-chemical properties such as melting point, iodine value and saponification value.

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Excess Volumes of Aqueous Solutions of Nonionic Amphiphile 2-(2-Hexyloxyethoxy)ethanol (비이온 양친매성 분자 2-(2-Hexyloxyethoxy)ethanol 수용액의 과잉 부피)

  • Lee, Jungno;Hwang, Yoonmi;Kang, Minhee;Lim, Kyung-Hee
    • Journal of the Korean Applied Science and Technology
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    • v.37 no.3
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    • pp.516-525
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    • 2020
  • The densities of aqueous solutions of the amphiphile 2-(2-hexyloxyethoxy)ethanol (C6E2) were measured at 279.15 K and 282.15 K by vibrating-tube densitometry. Then using the density data of the binary C6E2 (1)/water(2) system, the excess volumes and partial molar volumes were determined at various compositions. Excess volume VE exhibits negative deviation for the whole region of composition, which implies relatively stronger attraction between molecules. At the C6E2 mole fraction of around 0.45, VE was at its minimum. Partial molar volume ${\bar{V}}_1$ increases monotonously with the mole fraction x1(=x) and ${\bar{V}}_2$ decreases with x. Any particular point in ${\bar{V}}_1$ and ${\bar{V}}_2$, which may point to molecular association, was unobserved.

Assessing Artificial Longshore Bars By Numerical Model

  • Kim, Tae-Rim
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1996.10a
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    • pp.137-139
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    • 1996
  • It is known that under storm waves, beach will respond by eroding material from the beach Ace and the formation of longshore bar(s) in the vicinity of breaking point. This breakpoint bar is believed to have the effect of slowing down beach erosion by dissipating incoming wave energy and retarding offshore sediment transport. Recently, artificial bin are being proposed as beach protective measures based on this reasoning. (omitted)

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An Experimental Study on Water Absorbtion Characteristics of Generator Stator Bar Insulation by Cooling Water Temperature in 500MW Capacity Power Plant (500MW급 화력 발전기 냉각수 온도에 따른 고정자 권선 절연재의 흡습 특성에 관한 실험적 연구)

  • Bae, Yong-Chae;Kim, Hee-Soo;Lee, Doo-Young;Lee, Wook-Ryun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.8
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    • pp.1392-1397
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    • 2008
  • The mechanical integrity of generator stator windings is one of the critical point because the electric power is generated and conducted to power system through these windings. De-mineralized water is used to cool stator bars during the normal operation of generator in large power plants because the water cooled method has highest cooling efficient. Water absorption of bar insulation is progressed by several causes such as generation of water leak path by corrosion, delamination of insulation by vibration, and inadequate water treatment, etc.. Reliable water absorption diagnostics of generator stator bar is important to ensure the availability of power plant and to reduce maintenance cost by generator accident. It is described that the water absorption characteristics for generator stator bar insulation used in 500MW capacity standard fossil power plant by cooling water temperature. It is verified that the management of stator cooling water temperature is one of the important factors to decrease water absorption rate of generator stator bars.

Sedimentary Environment Change in Mid-channel Bar of the Lower Geum River Using Multi-temporal Satellite Data (다중시기 영상자료를 이용한 금강하류의 하중도 퇴적환경 변화)

  • Hong, Ki-Byung;Jang, Dong-Ho
    • Journal of Environmental Impact Assessment
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    • v.18 no.3
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    • pp.171-183
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    • 2009
  • This study aims to analyze the sedimentary environment change in mid-channel bar of the lower Geum river basin after the construction of the estuary barrage using multi-temporal satellite data and GIS. The sedimentary environment changes were observed in mid-channel bar areas. The mid-channel bar F was found to have been newly formed for 10 years(1996-2006), whereas the mid-channel bar B located between mid-channel bar A and C has disappeared by erosion during the same periods. When examined by section, the areas of the mid-channel bar in the upper stream section from the Yipo's reference point generally increased due to the prevailing sedimentary environments, and those of the downstream section decreased where corrosive environments are dominant. In ternms of the centroid movement, the mid-channel bars grew up toward the downstream by switching erosion and accumulation, as sedimentation was prevailing in the downstream area of mid-channel bars and corrosion was dominant in the upper stream. Through grain size analysis, the study areas are divided into three sections according to the average grain size. In Section I, the mid-channel bars were formed as a result of sedimentary process of tides in the past. In Section II, the mid-channel bars were formed partly through the sedimentary process of rivers although the sedimentary process of tides is prevailing. In Section III, the mid-channel bars were formed mainly through the sedimentary process of rivers, even if it showed the sedimentary process of tides in the past.

A Study on the Dynamic Response Characteristics of Lathe Boring Bar (선반용 보링바의 동적응답특성 변동에 관한 연구)

  • Chun, Se-Ho;Ko, Tae-Jo
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.8
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    • pp.62-69
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    • 2010
  • Internal lathe machining with a boring bar is weak with respect to vibration because the bar is long and slender. Therefore, it is important to study the dynamic characteristics of a boring bar. The purpose of this study was to identify the effects of overhang and cutting conditions on the dynamic response characteristics of a boring bar. For an efficient experiment, an $L_g(3^3)$ orthogonal array was applied and the results were quantitatively analyzed by ANOVA. Overhang, feed per revolution, and depth of cut were selected as independent variables. Meanwhile, dynamic stiffness, damping ratio, damping coefficient, and acceleration were chosen as dependent variables. The vibration signal was obtained from an accelerometer attached to the boring bar, followed by visualization by a signal analyzer. The effect of overhang was found to have a significant effect on the dynamic stiffness, damping ratio, and damping coefficient, but the other variables did not. As the length of the overhang increased, the dynamic stiffness decreased and the damping ratio increased. In addition, the damping coefficient increased until the length of the overhang was 4D (where D is the shank diameter), after which it remained constant. The acceleration decreased until the overhang length was 4D, and then increased sharply when the overhang was increased further. From these results, the behavioral trend of the damping characteristics changed when its overhang length was 4D. Consequently, there is a critical point that the dynamic characteristics of boring bar change.

A Study on the Estimation of Dynamic Interlaminar Fracture Toughness on CFRP Laminates Plates (CFRP 적층판의 동적 층간파괴인성의 평가법)

  • 김지훈;김영남;판부직규;양인영
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.2
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    • pp.80-91
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    • 1998
  • In this paper, the estimation of dynamic interlaminar fracture toughness on fracture mode II in CFRP(carbon fiber reinforced plastics) laminates in made. Dynamic ENF(End Notched Flexure) apparatus used in this paper is manufactured by suing Split Hopkinson Pressure Bar. The static and impact load history in the CFRP specimen is measured by using manufactured dynamic ENF tester and 3-point bending test is carried out to find the load history. Also dynamic interlaminar fracture toughness can be found by using the J integral obrained from dynamic analysis in consideration of intertia-force effect.

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