• Title/Summary/Keyword: 특이점 해법

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On Dual Boundary Integral Equations for Crack Problems (이중 경계적분방정식에 의한 크랙 문제의 해석)

  • ;T.J. Rudolphi
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.10
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    • pp.89-101
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    • 1995
  • 선형 탄성 등방성 물체 내에 있는 일반적인 복합모드 크랙 문제들을 해석하기 위한 이중 경계적분방정식의 일반식과 계산해법이 제시되었다. 크랙면이 포함된 물체 해석에 있어서 유일한 해를 얻기 위하여, 한 면상의 점에는 변위 경계적분방정식이 적용되었고 마주하고 있는 상대면 상의 점에는 인력 경계적분방정식이 적용되었다. 인력 및 변위 경계적분방정식의 강특이해 및 초특이해 적분항들은 수치해법을 적용하기 전에 정상화되었다. 정상화과정 중 보정되는 강특이적분항이 상대 크랙면 상의 특이해 요소를 따라 직접 적분되는 것을 격리시키기 위하여, 특이해 적분 경로를 완만한 곡면으로 우회시킨 가상의 비특이해 보조경계로 대치하여 적분값을 계산하였다. 제시된 해법의 정확성과 효율성을 예시하기 위하여, 2차원 및 3차원 크랙 문제의 변형 후 모습과 응력강도계수 계산 결과를 보였다.

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구대칭 일반상대론적 유체역학 코드의 개발

  • Park, Dong-Ho
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.1
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    • pp.75.1-75.1
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    • 2013
  • 자체의 중력 효과를 고려하는 구대칭 완전 유체 전산모사 연구를 위해 일반상대론적 유체역학 코드를 이 분야 연구자들을 위한 공개용으로 개발하였다. 이 코드는 3+1 ADM(Arnowitt-Deser-Misner) 공식과 등방 공간 좌표를 사용하였다. 시공간 기하를 구하기 위해 극한값 썰기 (maximal slicing) 조건과 함께 세 개의 제한 방정식을 풀었고, 시공간을 채우는 물질인 유체는 근사 리만 해법을 사용한 HRSC (high resolution shock capturing) 기법으로 오일러 관찰자 시점에서 풀었다. 이 코드의 수렴성과 정확성을 검증하기 위해 상대론적인 구대칭 충격파 비교 분석, 블랙홀로 빨려 들어가는 상대론적 구대칭 강착, TOV(Tolman-Oppenheimer-Volkoff) 별 및 OS (Oppenheimer-Snyder) 붕괴 코드 테스트를 수행하였다. 특히, 이 코드의 동적 진화 테스트인 OS 붕괴의 경우 해석적인 해와 결과를 비교하기 위하여 좌표변환을 수치 계산으로 수행하였다. 아인슈타인의 일반상대성 이론을 넘어서는 변형된 중력이론 중 하나로 최근 제시된 EiBI(Eddington-inspired Born-Infeld) 이론에서 TOV 별의 해가 일반상대성 이론과 어떠한 차이를 보이는지 살펴 보았고, 그 이론에서도 물질이 붕괴하여 블랙홀을 만드는 경우 특이점이 형성되는지 고찰해 보았다.

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Denoising based on Wavelet Footprints (웨이블릿 발자국 흔적을 기초로 한 잡음 제거)

  • Heo, Geol;Jung, Won-Yong
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2003.06a
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    • pp.66-69
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    • 2003
  • 웨이블릿 변환이 소개된 후, 웨이블릿 임계치 기법이 신호의 잡음제거에 중요한 효과를 가져왔다. 그러나 웨이블릿 임계치 잡음제거 기법 역시 불연속점 주위에서 의사깁스 현상을 일으키는 단점을 가지고 있다. 본 논문은 웨이블릿 발자국 흔적(Wavelet Footprints) 알고리즘을 소개한다. 웨이블릿의 시간영역에서의 특이점들에 의해 남겨진 흔적이라는 의미를 가지는 발자국 흔적의 새로운 개념을 도입하여 불연속 주위의 의사 깁스 현상을 개선하고자 한다. 제안된 알고리즘은 더 일반적인 신호들로 확장되어지고, 신호의 잡음제거와 같은 문제에 효과적인 해법을 제시 할 수 있다.

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A Numerical Solution Method of the Boundary Integral Equation -Axisymmetric Flow- (경계적분방정식의 수치해법 -축대칭 유동-)

  • Chang-Gu,Kang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.3
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    • pp.38-46
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    • 1990
  • A numerical solution method of the boundary integral equation for axisymmetric potential flows is presented. Those are represented by ring source and ring vorticity distribution. Strengths of ring source and ring vorticity are approximated by linear functions of a parameter $\zeta$ on a segment. The geometry of the body is represented by a cubic B-spline. Limiting integral expressions as the field point tends to the surface having ring source and ring vorticity distribution are derived upto the order of ${\zeta}ln{\zeta}$. In numerical calculations, the principal value integrals over the adjacent segments cancel each other exactly. Thus the singular part proportional to $\(\frac{1}{\zeta}\)$ can be subtracted off in the calculation of the induced velocity by singularities. And the terms proportional to $ln{\zeta}$ and ${\zeta}ln{\zeta}$ can be integrated analytically. Thus those are subtracted off in the numerical calculations and the numerical value obtained from the analytic integrations for $ln{\zeta}$ and ${\zeta}ln{\zeta}$ are added to the induced velocity. The four point Gaussian Quadrature formula was used to evaluate the higher order terms than ${\zeta}ln{\zeta}$ in the integration over the adjacent segments to the field points and the integral over the segments off the field points. The root mean square errors, $E_2$, are examined as a function of the number of nodes to determine convergence rates. The convergence rate of this method approaches 2.

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Numerical Analysis on the Aerodynamic Characteristics of Thin Airfoil with Flapping and Pitching Motion (플래핑 운동 및 키놀이 운동을 하는 얇은 에어포일의 공력특성에 대한 수치 해석)

  • Kim, Woo-Jin
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.21 no.1
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    • pp.45-50
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    • 2013
  • In this study, lumped-vortex element method and thin airfoil theory were used to analyze aerodynamic characteristics of airfoils with relative motion that had camber lines of NACA $44{\times}{\times}$ airfoil in 2-dimensional unsteady incompressible potential flow. Velocity disturbance due to airfoil was calculated by lumped-vortex element model and force distribution on airfoil by unsteady Bernoulli's equation. Variables in relative motion were considered the period p, the amplitude of flapping $A_f$ and pitching $A_p$, and the phase difference between flapping and pitching ${\phi}_p$ and the angle of attack ${\alpha}$. Due to movement of an airfoil, dag was induced in 2-dimensional unsteady incompressible potential flow. The numerical results show that the aerodynamic characteristics of the airfoil with flapping and pitching at the same time are illustrated. Especially the mean lift coefficient became smaller, but drag coefficient became larger.

Analysis of a Complete Contact Problem in Bonded Condition: Comparison of Experimental-Numerical Analyses and Theoretical Solutions (응착조건의 완전접촉문제 해석: 실험 및 수치해석과 이론해의 비교)

  • Kim, Hyung-Kyu;Jang, Jae-Won;Lee, Soon-Bok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.6
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    • pp.583-588
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    • 2015
  • Asymptotic method has been often used to theoretically analyze the complete contact problem. The error of the asymptotic results increases as the distance from the contact edge increases. The singularity cannot be properly obtained from a finite element (FE) analysis owing to the finiteness of the element size. In the present work, the complete contact problem in bonded condition is analyzed using a combined experimental-numerical approach to assist and/or compare with the asymptotic results. Al and Cu alloys are used for the material combination of the punch and substrate. 120 and 135 degrees are used for the punch angle. The FE models are validated by comparison of displacement distributions obtained by the FE analysis and $moir{\acute{e}}$ experiment. Generalized stress intensity factors are evaluated using the validated FE models. Stress field in the vicinity of the sharp contact edges obtained from the FE and asymptotic analyses are compared. The discrepancies are also discussed.

Free Network Adjustment by Application of Generalized Inverse (일반역행예을 이용한 자유망조정)

  • 정영동;강태석;박상진;김욱남
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.3 no.2
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    • pp.48-62
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    • 1985
  • A method for the free network adjustment is proposed, based on the application of generalized inverse matrix (g-inverse). If the network adjustment is executed according to the solution with parameters, especially when all coordinates are considered as parameters to keep unity strength, the matrix of normal equation will be singular. This paper discusses the problem of singular matrix and the analysis of accuracy between conventional method and the free network adjustment of trilateration. In case of the adjustment, the RMS errors of adjusted X, Y coordinates are increased to 35.6% in a polygon, central-point figure, and 50.5% in a quadrilateral. In the elements of error ellipse, the RMS errors are decreased by $\pm$24.5% (a) and $\pm$5.0 % (b) in the polygon, $\pm$42.6% (a) and $\pm$49.2% (b) in the quadrilateral. Introduction of free network adjustment, therefore, could be applied to improvement of relative accuracy in the horizontal positioning.

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Multidimetional Uniform Semiclassical (WKB) Solutions for Nonseparable Problems (다차원 비분리계의 균일준고전적 해법)

  • Byung C. Eu
    • Journal of the Korean Chemical Society
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    • v.22 no.4
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    • pp.202-220
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    • 1978
  • Uniform semiclassical (WKB) solutions are obtained for nonseparable systems without using a close coupling formalism and are given explicitly in terms of well known analytic functions for various physically interesting and realistic cases. They do not become singular at turning points or surfaces and when taken in their asymptotic forms, they reduce to the usual WKB solutions that could be obtained if the Stokes phenomenon was properly taken care of for solutions. In obtaining such uniform solutions, the Schroedinger equations for nonseparable systems are suitably "renormalized" to solvable "normal" forms through certain transformations. Ehrenfest's adiabatic principle plays an important guiding role for obtaining such "renormalized" uniform solutions for nonseparable systems. The eigenvalues of the Hamiltonian can be calculated from the extended Bohr-Sommerfeld quantization rules when appropriate classical trajectories are obtained. An application is made to many-electron systems and for one of the simplest examples to show the utility of the method the approximate wavefunction is calculated of the ground state helium atom.

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A Control System of 4 d.o.f Human Arm type Redundant Robot (인간형 4자유도 로봇팔 제어 시스템)

  • Hwang, Sung-Ri;Park, Jae-woo;Na, Sang-min;Hyun, Woong-keun
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2018.10a
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    • pp.301-303
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    • 2018
  • This paper describes a robot control system and control method of a human arm type redundant manipulator. The control of a redundant manipulator suffer from computational complexity and singularity problem because of numerical inverse kinematics. To deal with such problems, analytical methods for a redundant robot arm have been researched to enhance the performance of inverse kinematics. In this research, we propose a numerical control method and weighted pseudo inverse kinematics algorithm. Using this algorithm, it is possible to generate a trajectory passing through the singular points and intuitively move the elbow without regard to the end-effector pose. Performance of the proposed algorithm was verified by various simulations. It is shown that the trajectory planning and using this algorithm provides correct results near the singular points and can utilize redundancy intuitively. We proved this system's validity through field test.

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The Media's Agenda Setting on the Nuclear Test of North Korea (북한 핵실험 이슈에 대한 언론의 의제구성)

  • Lee, Wan-Soo;Son, Young-Jun
    • Korean journal of communication and information
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    • v.56
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    • pp.175-193
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    • 2011
  • This study explored how South Korean newspapers covered North Korea's second nuclear test in May of 2009. Findings show that South Korean newspapers mostly reported North Korea's nuclear experiment in relatively negative tones. Their coverage mainly focused on the influences of nuclear threat from the North on the military, political and economic areas in South Korea. However, the media's agenda settings and frames were not similar in terms of each paper's political and ideological inclination. Whereas the progressive papers, such as the Hankyoreh and the Kyunghyang Shinmun, recognized that the current nuclear issue in Korean peninsula is getting worse because of South Korea's rigorous pressure on North Korea, the conservative papers, such as the Chosun Ilbo and the Donga Ilbo, see that the deadlock between North and South mainly comes from the system malfunction of North Korea. To prevent the current impasse, the left-side papers emphasized to develop the six-party talk in dealing with North Korean issue, while the right-wing papers paid attentions to the West's sanctions on North Korea and ensuring national security.

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