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REGIONS OF VARIABILITY FOR GENERALIZED α-CONVEX AND β-STARLIKE FUNCTIONS, AND THEIR EXTREME POINTS

  • Chen, Shaolin;Huang, Aiwu
    • 대한수학회논문집
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    • 제25권4호
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    • pp.557-569
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    • 2010
  • Suppose that n is a positive integer. For any real number $\alpha$($\beta$ resp.) with $\alpha$ < 1 ($\beta$ > 1 resp.), let $K^{(n)}(\alpha)$ ($K^{(n)}(\beta)$ resp.) be the class of analytic functions in the unit disk $\mathbb{D}$ with f(0) = f'(0) = $\cdots$ = $f^{(n-1)}(0)$ = $f^{(n)}(0)-1\;=\;0$, Re($\frac{zf^{n+1}(z)}{f^{(n)}(z)}+1$) > $\alpha$ (Re($\frac{zf^{n+1}(z)}{f^{(n)}(z)}+1$) < $\beta$ resp.) in $\mathbb{D}$, and for any ${\lambda}\;{\in}\;\bar{\mathbb{D}}$, let $K^{(n)}({\alpha},\;{\lambda})$ $K^{(n)}({\beta},\;{\lambda})$ resp.) denote a subclass of $K^{(n)}(\alpha)$ ($K^{(n)}(\beta)$ resp.) whose elements satisfy some condition about derivatives. For any fixed $z_0\;{\in}\;\mathbb{D}$, we shall determine the two regions of variability $V^{(n)}(z_0,\;{\alpha})$, ($V^{(n)}(z_0,\;{\beta})$ resp.) and $V^{(n)}(z_0,\;{\alpha},\;{\lambda})$ ($V^{(n)}(z_0,\;{\beta},\;{\lambda})$ resp.). Also we shall determine the extreme points of the families of analytic functions which satisfy $f(\mathbb{D})\;{\subset}\;V^{(n)}(z_0,\;{\alpha})$ ($f(\mathbb{D})\;{\subset}\;V^{(n)}(z_0,\;{\beta})$ resp.) when f ranges over the classes $K^{(n)}(\alpha)$ ($K^{(n)(\beta)$ resp.) and $K^{(n)}({\alpha},\;{\lambda})$ ($K^{(n)}({\beta},\;{\lambda})$ resp.), respectively.

신안해저 인양 침몰선의 복원 연구 (A Study on the Restoration of Shinan Shipwreck)

  • 김용한
    • 보존과학회지
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    • 제4권1호
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    • pp.3-10
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    • 1995
  • This study focused on the reconstructional point of Shinan ship-wreck that was excavated between $1976\~1984$. The wreck, which might be sunk in the beginning of the 14th century, is regarded as a vessel of Yuan dynasty, China. This paper tried to find out some structural characteristics and principal dimensions for restoration. The Shinan shipwreck's structural characteristics are summarized as follow, 1) The Shinan shipwreck is formed V-shaped cross section with bar keel, 2) The vessel is divided 8 holds by 7 bulkheads. 3) The ship has flat type stem and transome stern. 4) A rabbeted clinker -built is basically adopted on planking joint. 5) A wooden sheathing, which means a sort of protecting board against marine insects, is covered outside of the main hull, 6) For making an watertight structure, oakum and lime mixtured t'ung-oil are used along the seam of planking and bulkhead. 7) A V-shaped deep water-way exists at both deck side. 8) The shipwreck is believed to have 2 masts at least. 9) The shiptimbers are classified as Chinese Red Pine(Pinus Massonina) which is mainly grown in the southern part of China. Considering as mentioned above the structural characteristics, Shinan ship-wreck could be classified as Chinese Fu-chuan type(복선형) of sea-going ship. The Shinan ship's principal dimensions which are calculated on the basis of Chinese traditional shipbuilding custom, are as follow, Length overall(L.O.A). : 34.80m Length water line(L.W.L) : 24.90m Breadth(B.max.) : 11m Breadth(B) : 10m Depth at keel line(H) : 3.75m Draft(D). : 3.15m Freeboard(F) : 0.65m Ratio, length/breadth(L/B). : 2.26 Ration, breadth/depth(B/D) : 3.5 Height of stem : 7m Height of stern : 10m Displacement : ab.340ton.

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Visibility Evaluation for Agricultural Tractor Operators According to ISO 5006 and 5721-1 Standards

  • Kabir, Md. Shaha Nur;Song, Mingzhang;Chung, Sun-Ok;Kim, Yong-Joo;Kim, Su-Chul;Ha, Jong-Kyou
    • Journal of Biosystems Engineering
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    • 제40권1호
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    • pp.19-27
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    • 2015
  • Purpose: A system to measure the visibility of agricultural tractor operators was designed and evaluated according to ISO standards, and a blind area diagram around the tested tractor was created based on the manual method recommended by the National Institute for Occupational Safety and Health (NIOSH). Methods: A visibility measurement system was designed and evaluated based on the ISO 5006 and ISO 5721-1 standards. Two bulbs used to simulate the operator's eyes were mounted on a bar with a supporting frame. A wooden frame was used to determine the seat index point position. The 12-m visibility test circle was divided into six sectors of vision, and the test tractor was placed at the center of the circle. Artificial light was supplied in the darkened environment, and shadow or masking effects were measured manually around the 12-m circle. Results: When the bulbs were placed at the operator's eye level, front visibility was good; no masking was found in the "A" vision sector, but larger masking widths were found in the "B" and "C" vision sectors. Since the masking width exceeded 700 mm, additional tests, such as movement of the light sources to both sides of the operator's eye level, were performed. Less than six masking effects were found in the semi-circle of vision to the front, and more than one masking was found in the "B" and "C" visual fields. The minimum distance between the centers of two masking effects exceeded 2500 mm when measured as a chord on the semi-circle of vision. A blind area diagram was created to define the exact nature of the blind spots and mirror visibility. Conclusions: Visibility evaluation is an effective way to enable proper and safe operation for agricultural tractor operators. Inclusion of this visibility evaluation test in the general testing process might aid tractor manufacturers.

In situ 법에 의한 Cu-Nb3Sn 복합재료선재의 초전도특성과 이에 미치는 Ti의 영향(I) (Superconducting Properties of in situ Formed Multifilamentary Cu - Nb3Sn Composites and the Effects of Ti Addition on the Superconducting Properties (I))

  • 박현순;서수정;이은덕;안재민
    • 열처리공학회지
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    • 제6권1호
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    • pp.17-25
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    • 1993
  • The Cu - $Nb_3Sn$ composites wire as a superconducting material was prepared by in situ method as follow: Cu - 15wt.% Nb alloys which were melted in a high -frequency induction furnace and casted in bar were cold-worked up to the final diameter of 0.24 mm, electroplated with Sn, pre-treated in two steps and then diffused at $550{\sim}650^{\circ}C$ for 24 ~ 96 hrs. The overall $J_c$ and $T_c$ of the specimens were measured by the four point-probe method at 10 K in the magnetic field of 0 Tesla. The overall $J_c$ of the composites wire which diffused at $550^{\circ}C$ after pre-treating in two steps were generally higher than those of the wire at either $600^{\circ}C$ or $650^{\circ}C$. For the specimens diffused at $550^{\circ}C$, the overall $J_c$ were increased until 72 hrs. of diffusion time and then decreased. However, in case of diffusion at $600^{\circ}C$ and $650^{\circ}C$, the overall $J_c$ were gradually decreased from the beginning. The maximum overall $J_c$ obtained in this experiment was $1.3{\times}10^4\;A/cm^2$, which was measured for the specimen diffused at $550^{\circ}C$ for 72 hrs. When the specimens were diffused at $550^{\circ}C$ for 72 hrs, after pre-treating, the measured critical temperature, $T_c$ was 16.19 K. Similar $T_c$ value were obtained in other specimens regardless of diffusion time and temperature.

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합류부에서 하상변동 수치모의 연구: 미호천 및 감천 합류부를 대상으로 (Numerical Simulation of Bed Change at the Confluence of the Gamcheon and Mihocheon)

  • 박문형;김형석
    • Ecology and Resilient Infrastructure
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    • 제6권4호
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    • pp.328-338
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    • 2019
  • 본 논문에서는 하천의 지류와 본류가 만나는 합류부를 대상으로 2차원 수치모형인 CCHE2D를 이용하여 장래하상변동 수치모의를 수행하고 분석을 수행하였다. 대상구간은 하상변동의 개연성이 클 것으로 예상되는 낙동강과 감천 합류부 그리고 금강과 미호천 합류부를 대상으로 하였다. 해당구간에서 4대강 살리기 사업이 종료된 이후인 2012년 8월 30일부터 2015년 8월 29일 수문자료를 활용하여 장래하상변동 수치모의를 수행하였다. 장래하상변동 수치모의 결과 합류부 부근에서 하상변동이 활발히 발생하는 것으로 나타났으며 특히 유사 퇴적이 집중되어 사주가 형성될 가능이 있는 것으로 나타났다. 수치모의를 통해 대상구간에서 하상변동, 평균 하상고 변화, 세퇴차량 등을 검토하여 장래 하도변화 특성을 검토하였다. 2차원 수치모형을 활용하여 지류 합류부 구간에서 향후 효율적인 지류 합류부 하도안정화 대책을 수립하는데 활용될 것으로 기대된다.

고내구성 재료를 사용한 해양 콘크리트 부재의 휨 거동 특성 (Characteristics of Flexural Behaviors for Marine Concrete Members Using High-Durable Materials)

  • 양은익;김명유;박해균;이동근
    • 한국구조물진단유지관리공학회 논문집
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    • 제12권6호
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    • pp.249-256
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    • 2008
  • 해양콘크리트 구조물의 내구성은 염분의 침투와 확산에 의해 심하게 저하한다. 이로 인해 많은 연구자들이 해양구조물에 대한 내구성을 향상시키기 위한 연구를 수행하여 왔다. 이 연구에서는 광물질 혼화재, 코팅철근, 부식억제제를 사용한 휨 부재에 대하여 4점 휨 시험을 수행함으로써 휨 거동을 비교 평가하고 해양구조물로의 적용성을 검토하였다. 결과에 따르면, 광물질 혼화재와 부식억제제는 초기균열 안전성과 휨 저항에 효율적인 것으로 나타났다. 내구성 재료를 사용하여도 동일 휨 모멘트 구간에서의 인장철근 응력 변화는 적고 부재도 안정된 거동을 보인다. 또한, 내구성 재료를 사용한 부재의 균열간격도 크지 않게 나타났다.

반복하중을 받는 육각형 블록 벽체 전단내력평가 (An Estimation of Shear Capacity of Hexagonal Masonry Walls Under Cyclic Loading)

  • 장극관;서대원;한태경
    • 한국구조물진단유지관리공학회 논문집
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    • 제14권6호
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    • pp.205-214
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    • 2010
  • 일반적으로 조적조는 석재, 벽돌, 시멘트블록 등의 조적 개체와 모르타르(motar) 등 이종재료로 구성된 적층구조로서, 우리나라뿐만 아니라 전 세계적으로 가장 오래되고 광범위하게 사용되어진 구조재료이다. 그러나 수직하중에 대한 큰 저항능력에 비해 횡력에 매우 취약한 단점을 갖고 있으며, 최근에 발생한 지진피해사례에서도 저층의 조적조 건축물의 피해가 많이 보고되고 있다. 따라서 본 연구에서는 수평전단력 향상을 위하여 기존 사각형 블록 벽체에서 발생되는 횡방향 통줄눈을 방지하여 횡력에 대한 저항력을 높여줄 수 있는 육각형 형태의 블록을 개발하고, 개발된 블록을 사용한 조적 벽체의 구조실험을 수행하여 거동특성과 전단강도의 증가효과 등을 분석하며, 신축 및 건물 리모델링시에 내진보강용으로 사용할 수 있는 조적조를 제안하고자 하였다. 개발된 중공형 및 솔리드형 블록을 사용하여, 블록의 형상 및 수직 철근 보강량 및 배열위치를 변수로 육각형 블록 벽체의 구조실험을 수행 하였으며, 기존 사각형의 조적조 벽체에 비교하여 상대적으로 연성적인 거동과 전단저항 능력의 향상을 확인할 수 있었다.

콘크리트 흡수 수분확산계수 산정을 위한 실험 및 수치해석 모델 개발 (Development of Testing and Analysis Model for Evaluation of Absorbed Water Diffusion into Concrete)

  • 박동천;안재철
    • 한국건축시공학회지
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    • 제11권4호
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    • pp.371-378
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    • 2011
  • 콘크리트는 다공질로서 수분이 접하게 되면 시간경과에 따라 흡수가 일어난다. 다양한 배합의 콘크리트에서 어느 정도 수분 흡수가 빨리 일어나는가는 흡수수분 확산계수 산출을 통하여 가능하며, 본 연구에서는 길이가 다른 시험체의 질량 경시변화를 통하여 깊이별 흡수 수분량을 산출하였다. 흡수 수분 확산계수는 시간과 깊이의 함수로 이뤄진 볼츠만 변수를 사용하여 실험값과의 회귀분석을 통하여 구하였으며, 그 정확도는 비선형 유한요소 과도해석을 통하여 검증하였다.

Mechanical properties of zirconia after different surface treatments and repeated firings

  • Subasi, Meryem Gulce;Demir, Necla;Kara, Ozlem;Ozturk, A. Nilgun;Ozel, Faruk
    • The Journal of Advanced Prosthodontics
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    • 제6권6호
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    • pp.462-467
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    • 2014
  • PURPOSE. This study investigated the influence of surface conditioning procedures and repeated firings on monoclinic content and strength of zirconia before cementation. MATERIALS AND METHODS. Sintered bar-shaped zirconia specimens were subjected to no surface treatment (control), air abrasion, or grinding (n=21). Their roughness was evaluated using a profilometer, and microscope analysis was performed on one specimen of each group. Then, 2 or 10 repeated firings (n=10) were executed, the monoclinic content of specimens was analyzed by X-ray diffraction, and a three-point flexural strength test was performed. Surface roughness values were compared using one-way analysis of variance (ANOVA) and Tukey honestly significant difference (HSD) tests, the monoclinic content values were tested using Kruskal-Wallis and Mann-Whitney U tests, and the flexural strength values were tested using two-way ANOVA and Tukey HSD tests (P=.05). Spearman's correlation test was performed to define relationships among measured parameters. RESULTS. Surface-treated specimens were rougher than untreated specimens and had a higher monoclinic content (P<.005), and the relationship between roughness and monoclinic content was significant (P<.000). Neither surface treatment nor firing significantly affected the flexural strength, but Weibull analysis showed that for the air-abraded samples the characteristic strength was significantly lower after the $10^{th}$ firing than after the $2^{nd}$ firing. CONCLUSION. After firing, a negligible amount of monoclinic content remained on the zirconia surfaces, and rougher surfaces had higher monoclinic contents than untreated surfaces. Multiple firings could be performed if necessary, but the fracture probability could increase after multiple firings for rougher surfaces.

Photogrammetry 기법을 활용한 MSC 설치면의 정밀 측정

  • 우성현;김홍배;문상무;임종민
    • 항공우주기술
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    • 제3권1호
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    • pp.126-133
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    • 2004
  • 사진측량법(Photogrammetry)는 서로 다른 촬영각을 가지는 다수의 2차원 이미지로부터 대상물의 정밀한 3차원 형상을 얻어내는 기법이다. 본 연구에서는 사진측량법을 활용하여 다목적 실용위성 2호 비행모델 하부 탑재체 플랫폼(Low Payload Platform)의 고해상도 카메라 접합면에 대한 편평도(Flatness) 측정 작업을 수행하였으며, 정밀하게 교정된 2개의 스케일바(Scale Bar)를 사용하여 절대적인 길이 값을 3차원 모델에 부과함과 동시에 측정정확도를 계산하여 내었다. 또한 측정된 편평도 결과는 고해상도 카메라 납품 업체에서 제시한 편평도 요구조건과 비교되었다.

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