• 제목/요약/키워드: Section-by-section method

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G3 HEXIC Bézier CURVES APPROXIMATING CONIC SECTIONS

  • HYEONG MOON YOON;YOUNG JOON AHN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제28권1호
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    • pp.22-32
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    • 2024
  • In this paper we present a method of conic section approximation by hexic Bézier curves. The hexic Bézier approximants are G3 Hermite interpolations of conic sections. We show that there exists at least one hexic Bézier approximant for each weight of the conic section The hexic Bézier approximant depends one parameter and it can be obtained by solving a quartic polynomial, which is solvable algebraically. We present the explicit upper bound of the Hausdorff distance between the conic section and the hexic Bézier approximant. We also prove that our approximation method has the maximal order of approximation. The numerical examples for conic section approximation by hexic Bézier curves are given and illustrate our assertions.

Ungrounded System Fault Section Detection Method by Comparison of Phase Angle of Zero-Sequence Current

  • Yang, Xia;Choi, Myeon-Song;Lee, Seung-Jae;Lim, Il-Hyung;Lim, Seong-Il
    • Journal of Electrical Engineering and Technology
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    • 제3권4호
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    • pp.484-490
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    • 2008
  • In this paper, an integrated fault section detection and isolation strategy is proposed based on the application of the Distribution Automation System(DAS) utilizing advanced IT and communication technologies. The Feeder Remote Terminal Unit(FRTU) has been widely used to collect data in the Korean distribution system. The achieved data is adopted in this method for detecting multiple fault types. Especially in the case of single phase-to-ground fault, the fault section is detected by comparison of the zero-sequence current phase angle. The test results have verified the effectiveness of the proposed method in a radial distribution system through extensive simulations in Matlab/Simulink. Furthermore, a communication-based demo system identical to the simulation model has been developed, and it can be applied as an online monitoring and control program for fault section detection and isolation.

2축 휨과 축력을 동시에 받는 철근콘크리트 기둥에 대한 실험적 연구 (An Experimental Study on the Behavior of Reinforced Concrete Columns Subjected to Axial Force and Biaxial Bending)

  • 김진근;이상순;이수곤;김선영
    • 콘크리트학회논문집
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    • 제11권4호
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    • pp.55-62
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    • 1999
  • When stress is beyond elastic limit or cracks occur in a reinforced concrete member subjected to axial force and biaxial bending, curvature about each principal axis of uncracked section is influenced by axial force and bending moments about both major and minor principal axes. It is mainly due to the translation and rotation of principal axes of the cross section after cracking. Recently, by considering these effects, a numerical method predicting the behavior of concrete columns subjected to axial force and biaxial bending was proposed. In this study, in order to verify the proposed numerical method and investigate the effects of cracking on the behavior of reinforced concrete columns, a series of tests were carried out for 16 tied reinforced concrete columns with 100×100 mm square and 200×100 mm rectangular sections under various loading conditions. The angle between the direction of eccentricity and the major principal axis of uncracked section were 0, 30, 40° for the square section and 0, 30, 45, 60, 90° for the rectangular section, respectively. A comparison between numerical predictions and test results shows good agreements in ultimate loads, axial force-lateral deflection relations, and lateral deflection trajectories. It is also found, in this limited investigation, that the ACI's moment magnifier method is conservative in both uniaxial and biaxial loading conditions.

폐쇄형 풍동 시험부 내의 비정상 흐름에 대한 Blockage 보정 기법 연구 (Blockage-Correction Method for Unsteady Flows in a Closed Test-Section Wind Tunnel)

  • 강승희;권오준;안승기
    • 한국항공우주학회지
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    • 제34권12호
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    • pp.67-74
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    • 2006
  • 아음속풍동 폐쇄형 시험부내의 비정상 벽면효과 보정 연구의 일환으로 시험부 벽면압력을 사용하는 비정상 흐름에 대한 blockage 보정 기법을 개발하였다. 시험부 벽면압력은 프리에 급수로 전개하고, 전개된 각 계수를 벽면압력측정 방법을 사용하여 전 주기에 대해 일괄적으로 보정하는 준 정상상태 보정 방법을 제시하였다. 본 연구에서 제시된 방법을 검증하기 위해 수치적으로 계산된 폐쇄형 시험부내의 원형실린더 및 강제 진동하는 익형의 비정상 흐름에 적용하였다. 그 결과 본 연구에서 제시된 방법은 자유흐름 상태와 일치되는 blockage 보정 결과를 보임을 확인하였다.

Dynamic analysis of thin-walled open section beam under moving vehicle by transfer matrix method

  • Xiang, Tianyu;Xu, Tengfei;Yuan, Xinpeng;Zhao, Renda;Tong, Yuqiang
    • Structural Engineering and Mechanics
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    • 제30권5호
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    • pp.603-617
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    • 2008
  • Three dimensional coupled bending-torsion dynamic vibrations of thin-walled open section beam subjected to moving vehicle are investigated by transfer matrix method. Through adopting the idea of Newmark-${\beta}$ method, the partial differential equations of structural vibration can be transformed to the differential equations. Then, those differential equations are solved by transfer matrix method. An iterative scheme is proposed to deal with the coupled bending-torsion terms in the governing vibration equations. The accuracy of the presented method is verified through two numerical examples. Finally, with different eccentricities of vehicle, the torsional vibration of thin-walled open section beam and vertical and rolling vibration of truck body are investigated. It can be concluded from the numerical results that the torsional vibration of beam and rolling vibration of vehicle increase with the eccentricity of vehicle. Moreover, it can be observed that the torsional vibration of thin-walled open section beam may have a significant nonlinear influence on vertical vibration of truck body.

현미경 섹션 영상으로부터 3차원 형상 복구 기법 (3D Shape Reconstruction from Microscopic Serial Section Images)

  • 윤일동;이후성
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2003년도 하계종합학술대회 논문집 Ⅳ
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    • pp.2379-2382
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    • 2003
  • This paper describes the design, implementation and results of a unified non-rigid image registration method for the purposes of 3D shape reconstruction from serial section images. The proposed method uses active contour-based segmentation and compensation of radial distortion. Experimental results show that multiple images can be segmented and reconstructed by active single contour as well as intra- and inter-section registration.

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상급종합병원의 예측 제왕절개분만율과 실제 제왕절개분만율의 격차 관련요인 (Factors on the Gap between Predicted Cesarean Section Rate and Real Cesarean Section Rate in Tertiary Hospitals)

  • 김윤미;김세영
    • 여성건강간호학회지
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    • 제18권3호
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    • pp.200-208
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    • 2012
  • Purpose: This study was aimed to examine the gap between predicted cesarean section rate and real cesarean section rate and it's determining factors of 44 tertiary hospitals. Method: This study is a cross-sectional analysis using the data of 25,623 deliveries in 2009 drawn from homepage of Health Insurance Review and Assessment Service. Data were analyzed with t-test, F-test, Scheff$\acute{e}$ test, and logistic regression. Result: There were statistically significant differences in the gap of cesarean section rate (more gap indicates higher quality of delivery) by grade of nurse staffing and delivery cases. Hospitals with nurse staffing grade 1 to 2 had more possibility to be classified into higher grade in quality of delivery (OR 5.67, 95% CI 1.07-30.08). Also hospitals with over 500 delivery cases had more possibility be classified into higher grade in quality of delivery (OR 4.92, 95% CI 1.14-21.23, respectively). Conclusion: The finding suggests that grade of nurse staffing may influence the real cesarean section rate because nurses do a vital role to prevent unnecessary cesarean section. Further study is required to provide evidence that nurse staffing influence on patient outcome and cost-effectiveness in order to obtain adequate number of nursing staffs.

The Reaction Probability and the Reaction Cross-section of N + O2→ NO + O Reaction Computed by the 6th-order Explicit Symplectic Algorithm

  • He, Jianfeng;Li, Jing
    • Bulletin of the Korean Chemical Society
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    • 제27권12호
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    • pp.1976-1980
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    • 2006
  • We have calculated the reaction probability and the reaction cross-section of the $N(^4S)+O_2(X^3\sum_{g}^{-})\;\rightarrow\;NO(X^2\Pi)+O(^3P)$ reaction by the quasiclassical trajectory method with the 6th-order explicit symplectic algorithm, based on a new ground potential energy surface. The advantage of the 6th-order explicit symplectic algorithm, conserving both the total energy and the total angular momentum of the reaction system during the numerical integration of canonical equations, has firstly analyzed in this work, which make the calculation of the reaction probability more reliable. The variation of the reaction probability with the impact parameter and the influence of the relative translational energy on the reaction cross-section of the reaction have been discussed in detail. And the fact is found by the comparison that the reaction probability and the reaction cross-section of the reaction estimated in this work are more reasonable than the theoretical ones determined by Gilibert et al.

원형단순확장관의 입$\cdot$출구 위치와 단면 크기를 고려한 음향해석법 (Acoustic Analysis of Circular Simple Expansion Chamber with Arbitrary Location and Cross-Section Area of Inlet/Outlet)

  • 김봉준;정의봉;황상문
    • 소음진동
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    • 제9권5호
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    • pp.914-921
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    • 1999
  • There are many theoretical investigations to analyze higher order mode of reactive type single expansion chambers with offset inlet/outlet locations. But the conventional method has the restriction that the ratio between the area of inlet(or outlet) pipe and that of chamber must be natural number. In the paper, a new method was suggested to apply the Kim's method to silencer with circular cross-section. Not only the offset location but also the magnitude of cross-section area of inlet/outlet pipe can be considered by the suggested method. The predictions by this new method also compared with those by the finite element method and Munjal's method in order to verify the accuracy of the suggested method presented here.

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대형 컨테이너선용 Twist 일체형 타 개발 (Study on Design of a Twisted Full-Spade Rudder for a Large Container Ship by the Genetic Algorithm)

  • 김인환;김문찬;이진희;천장호;정운화
    • 대한조선학회논문집
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    • 제46권5호
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    • pp.479-487
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    • 2009
  • This paper describes the design of a full-spade twisted rudder section by using the genetic algorithm based on VLM(Vortex Lattice Method) and panel method. The developed propeller- rudder analysis program has been validated by comparing with experimental data. The developed code has been used for the design of a twisted full-spade rudder especially for finding out optimum section. The optimization has been firstly carried out by the genetic algorithm. The more detail variation of a rudder section has been also conducted by changing section profile in more detail to confirm the most optimum section profile. The developed new twisted rudder has been compared with existing twisted rudder by cavitation testing in the cavitation tunnel at MOERI. It is concluded that the developed twisted rudder has a lower cavity in comparison with existing twisted rudder. The verification of efficiency gain is expected to be carried out through self-propulsion tests in the near future.