• Title/Summary/Keyword: HAT

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THE 3D BOUSSINESQ EQUATIONS WITH REGULARITY IN THE HORIZONTAL COMPONENT OF THE VELOCITY

  • Liu, Qiao
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.3
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    • pp.649-660
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    • 2020
  • This paper proves a new regularity criterion for solutions to the Cauchy problem of the 3D Boussinesq equations via one directional derivative of the horizontal component of the velocity field (i.e., (∂iu1; ∂ju2; 0) where i, j ∈ {1, 2, 3}) in the framework of the anisotropic Lebesgue spaces. More precisely, for 0 < T < ∞, if $$\large{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_o}^T}({\HUGE\left\|{\small{\parallel}{\partial}_iu_1(t){\parallel}_{L^{\alpha}_{x_i}}}\right\|}{\small^{\gamma}_{L^{\beta}_{x_{\hat{i}}x_{\bar{i}}}}+}{\HUGE\left\|{\small{\parallel}{\partial}_iu_2(t){\parallel}_{L^{\alpha}_{x_j}}}\right\|}{\small^{\gamma}_{L^{\beta}_{x_{\hat{i}}x_{\bar{i}}}}})dt<{{\infty}},$$ where ${\frac{2}{{\gamma}}}+{\frac{1}{{\alpha}}}+{\frac{2}{{\beta}}}=m{\in}[1,{\frac{3}{2}})$ and ${\frac{3}{m}}{\leq}{\alpha}{\leq}{\beta}<{\frac{1}{m-1}}$, then the corresponding solution (u, θ) to the 3D Boussinesq equations is regular on [0, T]. Here, (i, ${\hat{i}}$, ${\tilde{i}}$) and (j, ${\hat{j}}$, ${\tilde{j}}$) belong to the permutation group on the set 𝕊3 := {1, 2, 3}. This result reveals that the horizontal component of the velocity field plays a dominant role in regularity theory of the Boussinesq equations.

Study on Section Properties of Deckplates with Flat-Hat Stiffners (Flat-Hat 스티프너를 가진 데크플레이트의 단면 성능에 관한 연구)

  • Ju, Gi-Su;Park, Sung-Moo
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.1 s.11
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    • pp.77-86
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    • 2004
  • It is the buckling of the compression portions of the deckplate that govern its behaviour under wet concrete construction loading. The size and position of intermediate stiffeners in the compression flanges of thin-plate steel decks exert a strong influence on the dominant buckling mode of the flange. Test sections composed of high-strength steel were brake pressed with a variety of Flat-hat intermediate stiffeners in the compression flange forming a progression from small to large stiffeners. The ABAQUS program to determine the effectiveness of intermediate stiffeners in controlling buckling modes is undertaken. A series of specimens are loaded with simple beam. Various buckling wave forms prior to ultimate failure through a plastic collapse mechanism. The experimentally determined buckling stresses are found to be comparable with studies performed using the ABAQUS program analysis and using each country code.

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Applying Novel Mean Residual Life Confidence Intervals

  • Guess, F.M.;Steele, J.C.;Young, T.M.;Leon, R.V.
    • International Journal of Reliability and Applications
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    • v.7 no.2
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    • pp.177-186
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    • 2006
  • Typical confidence intervals for a mean or mean residual life (MRL) are centered about the mean or mean residual life. We discuss novel confidence intervals that produce statements like "we are 95% confident that the MRL function, e(t), is greater than a prespecified $\mu_o$ for all t in the interval [0, $\hat{\theta})$)" where $\hat{\theta}$ is determined from the sample data, confidence level, and $\mu_o$. Also, we can have statements like 'we are 95% confident that the MRL of population 1, namely $e_1$(t), is greater than the MRL of population 2, $e_2$(t), for all t in the interval [0, $\hat{\theta}$)" where $\hat{\theta}$ is determined from the sample data and confidence level. We illustrate these one and two sample confidence intervals on internal bonds (tensile strengths) for an important modem engineered wood product, called medium density fiberboard (MDF), used internationally.

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The Static Collapse Characteristics of CFRP Single and Double Hat Shaped Section Members according to the Interface Number for Lightweight (경량화용 CFRP 단일 모자형 부재와 CFRP 이중 모자형 부재의 계면수 변화에 따른 정적압궤특성)

  • Hwang, Woo-Chae;Cha, Cheon-Seok;Yang, In-Young
    • Journal of the Korean Society of Safety
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    • v.27 no.6
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    • pp.20-25
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    • 2012
  • Currently, the most important purpose in designing automobile is environment-friendly and safety performance aspect. CFRP(Carbon Fiber Reinforced Plastics) of the advanced composite materials as structure materials for vehicles, has a wide application in lightweight structural materials of air planes, ships and automobiles because of high strength and stiffness. In this study, experimental investigations are carried out for CFRP single and double hat shaped section member in order to study the effect of various stacking condition. They were cured by heating to the appropriate curing temperature($130^{\circ}C$) by means of a heater at the vacuum bag of the autoclave. The stacking conditions were selected to investigate the effect of the interface numbers. The CFRP single and double hat shaped section members which manufactured from unidirectional prepreg sheets were made of 8ply. The static collapse tests performed and the collapse mode and energy absorption capability were analyzed according to interface number.

The Consideration of Consistent Use of Sample Standard Deviation in the Confidence Interval Estimation of Population Mean and Population Ratio (모평균과 모비율의 구간추정에서 표본표준편차의 일관된 사용에 대한 고찰)

  • Park, Sun Yong;Yoon, Hyoung Seok
    • Journal of Educational Research in Mathematics
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    • v.24 no.3
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    • pp.375-385
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    • 2014
  • This study compares the confidence interval estimation of population mean with that of population ratio, and considers whether these two estimations ensures consistency. As a result, this study suggests the following acquisition method of consistency : dealing with population mean and population ratio in the same mode, substituting the observed or experimental value of sample standard deviation for standard deviation in population in setting a confidence interval of both population mean and population ratio, and distinguishing population ratio $\hat{P}$ from its observed vale $\hat{p}$.

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Field Driveability Test of Wide Hat-type Sheet Pile using Vibro-Hammer (바이브로해머를 이용한 광폭 Hat형 강널말뚝의 현장 관입시험)

  • Kim, Byoung-Il;Kim, Jae-Kyu;Back, In-Chul;Lee, Seung-Hyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.8 no.1
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    • pp.103-109
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    • 2007
  • A new steel sheet pile of wide hat-type was developed. Advantage of using wide type of sheet pile is reducing steel weight and consequently cutting down construction cost. Field driveability tests were conducted in order to verifying vibro-driveability of wide hat-type sheet pile. As a result of the tests, penetration rates of newly developed sheet piles were less than those of U-type sheet piles. Axial stresses developed in sheet pile during driving were fur less than yield stress of sheet pile. Futhermore, initial penetration rates of sheet piles were much larger than those obtained from WEAP program.

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Quantitative Evaluation of Shape Accuracy in a Hat-type Product with UHSS according to the Forming Procedure (성형공법에 따른 초고강도 모자형 박판부품 형상정밀도 평가)

  • Choi, Byeung Hyeun;Kim, Se Ho;Kim, Heung Kyu
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.10
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    • pp.1111-1117
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    • 2013
  • In this paper, the shape accuracy of the stamped hat-type product is quantified and analyzed with ultra high strength steel (UHSS) sheets. The shape of the hat-type product is designed in order to simplify the geometry of the side sill and the stamping methodology is proposed in order to verify the effect of the stamping procedure on the springback amount. Experiments and finite element analyses are conducted with four kinds of the forming sequences. The springback amounts are measured and compared according to the forming procedure with the embossing shape. Experimental result in company with analysis one illustrate that the springback amount is reduced with embossing in the padding operation. They also fully demonstrates the proposed forming procedure and the analysis method can be effectively applied to the process design for producing parts with ultra high strength steel.

Insertion of an Organic Hole Injection Layer for Inverted Organic Light-Emitting Devices

  • Park, Sun-Mi;Kim, Yun-Hak;Lee, Yeon-Jin;Kim, Jeong-Won
    • Proceedings of the Korean Vacuum Society Conference
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    • 2010.02a
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    • pp.379-379
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    • 2010
  • Recent technical advances in OLEDs (organic light emitting devices) requires more and more the improvement in low operation voltage, long lifetime, and high luminance efficiency. Inverted top emission OLEDs (ITOLED) appeared to overcome these problems. This evolved to operate better luminance efficiency from conventional OLEDs. First, it has large open area so to be brighter than conventional OLEDs. Also easy integration is possible with Si-based driving circuits for active matrix OLED. But, a proper buffer layer for carrier injection is needed in order to get a good performance. The buffer layer protects underlying organic materials against destructive particles during the electrode deposition and improves their charge transport efficiency by reducing the charge injection barrier. Hexaazatriphenylene-hexacarbonitrile (HAT-CN), a discoid organic molecule, has been used successfully in tandem OLEDs due to its high workfunction more than 6.1 eV. And it has the lowest unoccupied molecular orbital (LUMO) level near to Fermi level. So it plays like a strong electron acceptor. In this experiment, we measured energy level alignment and hole current density on inverted OLED structures for hole injection. The normal film structure of Al/NPB/ITO showed bad characteristics while the HAT-CN insertion between Al and NPB greatly improved hole current density. The behavior can be explained by charge generation at the HAT-CN/NPB interface and gap state formation at Al/HAT-CN interface, respectively. This result indicates that a proper organic buffer layer can be successfully utilized to enhance hole injection efficiency even with low work function Al anode.

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Lee Youn-Tacks Theater - Ästhetik der Krise und die Diskursivität (이윤택의 연극 위기(crisis)의 미학과 담론성)

  • Kim, Jeongsuk
    • Journal of Korean Theatre Studies Association
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    • no.48
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    • pp.225-260
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    • 2012
  • In diesem Aufsatz handelt es sich um die Untersuchung ${\ddot{u}}ber$ die Theaterregiearbeit von Lee Youn-Tack, der 25 Jahre lang viele $Theaterst{\ddot{u}}cke$ inszeniert hat. Hier wird es mit dem Begriff 'Krisis' gearbeitet, also unter dem Aspekt der Krise wird sein $k{\ddot{u}}nstlerisches$ Bewusstsein und sein Inszenierungsstil herausgearbeitet. $Schlie{\ss}lich$ soll es bewiesen werden, dass Lees Theater als ${\ddot{A}}sthetik$ der Krise darzustellen ist. Unter dem Aspekt der $Narrativit{\ddot{a}}t$ der Krise ist festzustellen, dass es bei seiner 25 $j{\ddot{a}}hrigen$ Arbeit wesentlich um die Krisendarstellung bzw. Krisenbewusstsein als Intellektuelle geht, und dass Lee $gegen{\ddot{u}}ber$ koreanische Gesellschaft und Gegenwartstheater Krisenbewusstsein hat und es bei seiner Arbeit und bei verschiedener Gelegenheit Diskurs $gef{\ddot{u}}hrt$ hat. Hierbei ist es festzustellen, dass Krise erstens, als kritisches Bewusstsein, zweitens, als Bewusstsein ${\ddot{u}}ber$ die ${\ddot{U}}bergangszeit$, drittens, als rituelle Inszenierungsstile dargestellt wurde. Letztlich wird in diesem Aufsatz kritisiert, dass sein Krisendiskurs auf der gewisser Weise fiktive Selbstinszenierungscharakter hat.

A Study of Impact Reduction Characteristics of Hat-Shaped Stiffened Panel Under Hypervelocity Impact (초고속 충돌을 받는 모자형 보강 패널의 충격 저감 특성에 관한 연구)

  • Yang, Tae-Ho;Lee, Young-Shin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.7
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    • pp.929-935
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    • 2013
  • This paper presents the results of sizing optimization of ahat-shaped stiffener on a rectangular stiffened panel. The stiffened panel is subjected to impact loading by a projectile with a velocity of 1500-2500 m/s. To determine the size of the hat-shaped stiffener, sizing optimization was performed. The sizing optimization consists of three functions: objective, constraint, and design functions. The objective function is used to maximize the fundamental frequency of the stiffened panel. The constraint function is that the stiffener volume is less than 10% of the plate volume. The design function is the dimensions of the hat-shaped stiffener. By using the stiffened panel with the optimized hat-shaped stiffener, a hypervelocity impact was simulated, and the velocity and kinetic energy on the optimized stiffener was obtained. To evaluate the impact reduction on the stiffened panel, the velocity and kinetic energy of the projectile was normalized and compared.