• 제목/요약/키워드: Equal angle

검색결과 252건 처리시간 0.029초

슈타이너.레무스 정리에 대한 다양한 증명 방법 (A Study on Various Proofs of the Steiner-Lehmus Theorem)

  • 한인기
    • 한국수학사학회지
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    • 제17권3호
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    • pp.93-108
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    • 2004
  • 본 연구에서는 슈타이너$.$레무스(Steiner-Lehmus) 정리에 대한 다양한 증명을 찾아 이들 증명에 사용된 수학적 개념, 정리, 방법들을 고찰하며, 몇 가지 증명에 대해서는 기존의 기술 방법을 개선한 좀더 구체적인 형태로 기술하였다. 이를 통해, 이등변삼각형의 흥미로운 성질인 슈타이너$.$레무스 정리에 대한 다양한 증명 방법을 밝히고, 중등학교 수학교육의 질적이고 양적인 확장을 위한 기초 자료를 제공할 것이다.

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EXPERIMENTAL STUDY ON TURBULENT SWIRLING FLOW IN A CYLINDRICAL ANNULI BY USING THE PIV TECHNIQUE

  • Chang, T.H.
    • International Journal of Automotive Technology
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    • 제5권1호
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    • pp.17-22
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    • 2004
  • An experimental investigation was conducted to study the characteristics of turbulent swirling flow in an axisymmetric annuli. The swirl angle measurements were performed using a flow visualization technique using smoke and dye liquid for Re=60,000-80,000. Using the two-dimensional Particle Image Velocimetry method, this study found the time-mean velocity distribution and turbulence intensity in water with swirl for Re=20,000, 30,000, and 40,000 along longitudinal sections. There were neutral points for equal axial velocity at y/(R-r)=0.7-0.75, and the highest axial velocity was recorded near y/(R-r)=0.9. Negative axial velocity was observed near the convex tube along X/(D-d)=3.0-18.0 for Re=20,000.

간섭 거동에 따른 지하 가스 배관의 영향선 분석 (Analysis of the Critical Path of Underground Gas Pipe According to Interference Behavior)

  • 김미승;원종화;김문겸;김태민;최선영
    • 한국가스학회지
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    • 제13권2호
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    • pp.7-13
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    • 2009
  • 관망 내 배관의 간섭 거동에 따른 지하 매설 배관의 영향선 분석을 위하여 실제 환경에 부합 하도록 지하의 상부와 하부에 각각 하수관거와 가스관을 매설하여 유한요소모델을 구현하였으며, 두 배관의 교차 정도에 따라 하부 가스 배관의 영향선을 분석하였다. 하수관거와 가스관은 각각 1.0m와 3.39m의 매설심도를 가지며, 두 배관이 이루는 교차각은 $0{\sim}90^{\circ}$에 대하여 해석을 실시하였다. 본 연구에서는 Ring Deflection과 Bending Stress의 결과로부터, 교차각에 따른 영향선을 분석하였으며, 그 결과 두 배관이 이루는 교차각과 하부 배관의 영향선은 일치함을 알 수 있었다. 따라서 배관의 간섭 거동에 따른 하부 배관의 영향선은 두 배관의 교차각과 깊은 관계가 있다고 판단된다.

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기둥-보 연결 강구조물의 소성회전각에 의한 피로곡선 연구 (A Study on the Fatigue Line with Plastic Rotaional Angle for Steel Structure of the Beam-to-Column Joints)

  • 공병승
    • 한국강구조학회 논문집
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    • 제10권2호통권35호
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    • pp.221-232
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    • 1998
  • 본 연구에서는 지진 등과 같이 소성변형의 범위가 큰 Low-Cycle-Fatigue 범주에서 구조물의 응력변동을 중심으로 사용되는 기존의 피로곡선인 S-N선도 보다 실질적으로 간단하게 측정하여 분석할 수 있는 소성회전각에 의한 피로곡선을 제시하였다. 이는 소성힌지가 생성되는 곳의 소성변형율과 구조물의 소성회전각이 서로 정비례를 이루는 상관관계임을 입증하여, 실험을 통하여 밝혀진 소성변형율의 피로곡선의 기울기와 소성회전각의 기울기가 서로 같은 값을 가짐을 보여 주었다. 이론은 Manson과 Coffin의 변형을 피로곡선을 도입하였고, 실험은 ECCS 주관하에 실시하였으며, 수치해석을 통하여 소성힌지 부위의 위치와 정확한 소성변형율을 산정할 수 있었다.

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밀링공정에서 주축모터전류를 이용한 절입비 추정 (Immersion Ration Estimation Using Spindle Motor Current during Milling)

  • 조규진;권원태;조동우;주종남
    • 한국정밀공학회지
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    • 제16권12호
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    • pp.222-229
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    • 1999
  • In order to regulate cutting torque in milling, monitoring system should be set to a certain threshold. Radial immersion ratio is an important factor to determine the threshold and should be estimated in process for automatic regulation. In this paper, on-line estimation of the radial immersion ration using spindle motor current in face milling is presented. When a tooth finishes sweeping, a sudden drop of cutting torque occurs. This torque drop is equal to cutting torque acting on a single tooth at the swept angle of cut and can be acquired form cutting torque signals. Average cutting torque per revolution can also be calculate form cutting torque signals. The ratio of cutting torque acting on a single tooth at the swept angle of cut to the average cutting torque per revolution is a function of the swept angle of cut and the number of teeth. Using the magnitude of this ratio, the radial immersion ratio is estimated. Identical algorithm is adopted to estimate the immersion ratio based on the spindle motor current measurement. The experiments performed under different cutting conditions show that the radial immersion ratio can be estimated within 10% error range by the proposed method using spindle motor current.

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Features of the flow over a finite length square prism on a wall at various incidence angles

  • Sohankar, A.;Esfeh, M. Kazemi;Pourjafari, H.;Alam, Md. Mahbub;Wang, Longjun
    • Wind and Structures
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    • 제26권5호
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    • pp.317-329
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    • 2018
  • Wake characteristics of the flow over a finite square prism at different incidence angles were experimentally investigated using an open-loop wind tunnel. A finite square prism with a width D = 15 mm and a height H = 7D was vertically mounted on a horizontal flat plate. The Reynolds number was varied from $6.5{\times}10^3$ to $28.5{\times}10^3$ and the incidence angle ${\alpha}$ was changed from $0^{\circ}$ to $45^{\circ}$. The ratio of boundary layer thickness to the prism height was about ${\delta}/H=7%$. The time-averaged velocity, turbulence intensity and the vortex shedding frequency were obtained through a single-component hotwire probe. Power spectrum of the streamwise velocity fluctuations revealed that the tip and base vortices shed at the same frequency as that ofspanwise vortices. Furthermore, the results showed that the critical incidence angle corresponding to the maximum Strouhal number and minimum wake width occurs at ${\alpha}_{cr}=15^{\circ}$ which is equal to that reported for an infinite prism. There is a reduction in the size of the wake region along the height of the prism when moving away from the ground plane towards the free end.

홀로그래픽 저장장치의 각/프랙탈 다중화 방식에서 균일한 회절 효율을 위한 기록 시간 분배 (The exposure-time schedule for uniform diffraction efficiency in angle/fractal multiplexing of holographic data storage)

  • 이재성;최진영;박영필;양현석;박노철
    • 정보저장시스템학회:학술대회논문집
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    • 정보저장시스템학회 2005년도 추계학술대회 논문집
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    • pp.139-144
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    • 2005
  • Because of the photorefractive recording dynamics, each newly recorded hologram partially erases all previously stored image. Thus achieving the desired diffraction efficiency profile for the entire sequence after all images have been recorded requires exposure time schedule. The often cited classical exposure-schedule model predicts a rising-exponential build-up and an exponential decay in An with an exposure time. However because we cannot directly measure the An, it's difficult to establish the relation of both. In this paper, we deduce the relation of diffraction efficiency and exposure time from experiment data and suggest an algorithm to make time schedule profile in angle/fractal multiplexing of holographic data storage. After that, we present simulated result with equal hologram diffraction efficiency for a sequence of 250 holograms recorded by angle/fractal multiplexing.

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A Fast Contingency Screening Algorithm for On-line Transient Security Assessment Based on Stability Index

  • Nam, Hae-Kon;Kim, Yong-Hak;Song, Sung-Geun;Kim, Yong-Gu
    • KIEE International Transactions on Power Engineering
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    • 제2A권4호
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    • pp.131-135
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    • 2002
  • This paper describes a new ultra-fast contingency screening algorithm for on-line TSA without time simulation. All machines are represented in a classical model and the stability index is defined as the ratio between acceleration power during a fault and deceleration power after clearing the fault. Critical clustering of machines is done based on the stability index, and the power-angle curve of the critical machines is drawn assuming that the angles of the critical machines increase uniformly, while those of the non-critical ones remain constant. Finally, the critical clearing time (CCT) is computed using the power-angle curve. The proposed algorithm is tested on the KEPCO system comprised of 900-bus and 230-machines. The CCT values computed with the screening algorithm are in good agreement with those computed using the detailed model and the SIME method. The computation time for screening about 270 contingencies is 17 seconds with 1.2 GHz PC.

정면밀링공정중 추축모터전류를 이용한 절입비의 실시간 추정 (In-process Immersion Ratio Estimation Using Spindle Motor Current during Face Milling)

  • 조규진;오영탁;권원태;주종남
    • 한국생산제조학회지
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    • 제9권6호
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    • pp.57-64
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    • 2000
  • In order to regulate cutting torque in milling, monitoring system should be set to a certain threshold. Radial immersion ratio is an important factor to determine the threshold and should be estimated in process for automatic regulation. In this paper, on-line estimation of the radial immersion ratio using spindle motor current in face milling is presented. When a tooth finishes sweeping, a sudden drop of cutting torque occurs. This torque drop is equal to the cutting torque acting on a single tooth at the swept angle of cut and can be acquired from cutting torque signals. Average cutting torque per revolution can also be calculated from cutting torque signals. The ratio of cutting torque acting on a single tooth at the swept angle of cut to the average cutting torque per revolution is a function of the swept angle of cut and the number of teeth. Using the magnitude of this ratio, the radial immersion ratio is estimated. Identical algorithm is adopted to estimate the immersion ratio based on the spindle motor current measurement. The experiments performed under different cutting conditions show that the radial immersion ratio can be estimated within 10% error range by the proposed method using spindle motor current. Varying immersion ratio is also estimated well using the presented algorithm.

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이온교환법을 이용한 균등한 출력 파워를 갖는 $1{\times}5$ 광파워 분리기 ($1{\times}5$ Equal-Power Splitter Using Ion-Exchange Method)

  • 강동성;전금수;김희주;반재경
    • 대한전자공학회논문지SD
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    • 제37권11호
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    • pp.43-49
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    • 2000
  • 본 논문에서는 1.55${\mu}m$파장에서 동작하는 $1{\times}5$ 광파워 분리기를 유한 차분 빔전파법(FD-BPM)을 이용하여 모델링하고, BK7 유리 기판에 $Ag^+-Na^+$ 이온교환법을 이용하여 제작하였다. 제작된 소자는 중심 도파로의 이격 거리와 내부 Y-분리기의 분리 각을 조절해 원하는 분리 비를 얻을 수 있는 구조로 되어있다. 도파로 폭 4.5${\mu}m$, 내부 Y-분리기의 분리 각 0.3$^{\circ}$, 중심 도파로의 이격 거리가 575${\mu}m$일 때 TE 모드 입력에 대해 0.46dB의 광파워 분리 비를 얻었다.

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