• 제목/요약/키워드: numerical singularity

검색결과 179건 처리시간 0.025초

수직평판 주위를 흐르는 느린 점성류의 수치해석 (Computation of the Slow Viscous Flow about a Normal Plate)

  • 인기문;최도형;김문언
    • 대한기계학회논문집
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    • 제17권9호
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    • pp.2329-2338
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    • 1993
  • An accurate analysis procedure to solve the flow about a flat plate at various incidences has been developed. The Navier-Stokes equations of stream function and vorticity form are solved in a sufficiently large computational domain, in which the grid lines are mutually orthogonal. The details of the flow near the singularity at the tip of the plate is well captured by the analytic solution which is asymptotically matched to the numerically generated outer solution. The solution for each region is obtained iteratively : the solution of one (inner or outer) region uses that of the other as the boundary condition after each cycle. The resulting procedure is accurate everywhere and also computationally efficient as the singularity has been removed. It is applied to the flat plate for a wide range of Re : the results agree very well with the existing computation and experiment.

정자표면파 트랜스듀서용 마이크로스트립 선로의 모서리 조건 (Edge Conditions of Microstrip Line Used for Magnetostatic Surface Wave Transducers)

  • 이재현
    • 한국전자파학회논문지
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    • 제15권11호
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    • pp.1062-1068
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    • 2004
  • 정자표면파가 전파되는 주파수 영역에서 페라이트 위에 놓여진 선로의 모서리 특이성을 Meixner가 제시한 방법을 이용하여 계산하였다. 구해진 모서리 특이성으로부터 정자표면파가 진행하는 방향의 모서리 부근에서의 전류 변화가 반대쪽 모서리에 비하여 급격함을 알 수 있었다. 또한 주파수 변화에 따라 모서리 조건도 변화하였다. 이 결과들은 이전의 수치해석 결과와 일치한다.

Attitude Control of Agile Spacecraft Using Momentum Exchange Devices

  • Lee, Hyun-Jae;Cho, Shin-Je;Bang, Hyo-Choong
    • International Journal of Aeronautical and Space Sciences
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    • 제7권2호
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    • pp.14-25
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    • 2006
  • This paper is focused on designing an implementable control law to perform spacecraft various missions using momentum exchange devices such as reaction wheels(RWs) and control moment gyros(CMGs). A compact equation of motion of a spacecraft installed with various momentum exchange devices is derived in this paper. A hybrid control law is proposed for precision attitude control of agile spacecraft. The control law proposed in this paper allocates control torque to the CMGs and the RWs adequately to satisfy the precision attitude control and large angle maneuver simultaneously. The saturation problem of reaction wheels and the singularity problem of control moment gyros are considered. The problems are successfully resolved by using the proposed hybrid closed loop control law. Finally, the proposed hybrid control law is demonstrated by numerical simulations.

7자유도 인간형 로봇 팔의 직관적인 팔꿈치 위치 설정이 가능한 역기구학 알고리즘 (Analytical Inverse Kinematics Algorithm for a 7 DOF Anthropomorphic Robot Arm Using Intuitive Elbow Direction)

  • 김영렬;송재복
    • 로봇학회논문지
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    • 제6권1호
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    • pp.27-33
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    • 2011
  • Control and trajectory generation of a 7 DOF anthropomorphic robot arm 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 an analytical inverse kinematics algorithm for a 7 DOF anthropomorphic robot arm. 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 using this algorithm provides correct results near the singular points and can utilize redundancy intuitively.

양력선(揚力線) 이론(理論)에 의한 추진기(推進器) 초기설계(初期設計)에 대하여 (On the Preliminary Design of Marine Propellers by Lifting Line Theory)

  • 이진태;김재근;이창섭
    • 대한조선학회지
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    • 제17권3호
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    • pp.5-17
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    • 1980
  • A basic procedure to design marine propellers by a curved lifting line theory was shown. By adapting discrete singularity method, it became possible to take into account of skew, rake and the contraction of slip stream in the early stage of preliminary design procedure. It is also shown that lifting line theory based on the discrete singularity method converges to a common solution obtained by induction factor method with a relatively small number of discrete elements. Lifting the blade geometry more accurately on the basis of hydrodynamic principles. A number of numerical results from lifting line calculation are presented for the purpose of comparison with the previous method, and with these results two sample designs are carried out, which are wake-adapted optimum and wake-adapted non-optimum propellers.

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경계요소법을 이용한 계면균열의 응력특이성에 관한 고찰 (Study on the Stress Singularity of Interface Crack by using Boundary Element Method)

  • 조종두;곽시영
    • 한국정밀공학회지
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    • 제16권4호통권97호
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    • pp.197-204
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    • 1999
  • The boundary element method was used for studying singularities of an interface crack with contact zones. The iterative procedure is applied to estimate the contact zone size. Because the contact zone size was extremely small in a tension field, a large number of Gaussian points were used for numerical integration of the Kernels. Stress extrapolation method and J-integral were used ofr determining stress intensity factors. When the interface crack was assumed to have opened tips, oscillatory singularities appear near the tips of the interface crack. But the interface crack with contact zone which Comninou suggested had no oscillatory behavior. The contact zone size under shear loading was much larger than that under tensile. The stress intensity factors computed by stress extrapolation method were close to those of Comninou's solution. And the stress intensity factor evaluated by J-integral was similar to that by stress extrapolation method.

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Singularity-Circumvented Computation of Green's Functions for 2D Periodic Structures in Homogeneous Medium

  • Kahng, Sung-Tek
    • Journal of electromagnetic engineering and science
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    • 제7권2호
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    • pp.59-63
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    • 2007
  • This paper suggests a novel method to efficiently calculate the spatial-domain Green's functions of 2D electromagnetic problems Briefly speaking, this method combines spectral and spatial domain calculation schemes and prevents the Green's functions from poor convergence due to the singularities that complicate the process of the Method of Moment(MoM) applications For the validation of this proposed method, fields will be evaluated along the spatial distance including zero distance for 2D free-space and periodic homogeneous geometry The numerical results show the validity of the prosed method and correspondng physics.

수치적으로 안정한 부분공간 반복법 (Numerically Stable Subspace Iteration Method)

  • 정형조;김만철;박선규;이인원
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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    • pp.84-91
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    • 1998
  • A numerically stable technique to remove tile limitation in choosing a shift in the subspace iteration method with shift is presented. A major difficulty of the subspace iteration method with shift is that because of singularity problem, a shift close to an eigenvalue can not be used, resulting in slower convergence. This study selves the above singularity problem using side conditions without sacrifice of convergence. The method is always nonsingular even if a shiht is an eigenvalue itself. This is one of tile significant characteristics of the proposed method. The nonsingularity is proved analytically. The convergence of the proposed method is at least equal to that of the subspace iteration method with shift, and the operation counts of above two methods are almost the same when a large number of eigenpairs are required. To show the effectiveness of the proposed method, two numerical examples are considered

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칩과 리드페임의 접착과정에서 발생하는 잔류 응력 해석 (Analysis of Residual Stresses Induced during Adhesion Process of Chip and Leadframe)

  • 이상순
    • 한국전산구조공학회논문집
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    • 제13권1호
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    • pp.97-103
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    • 2000
  • 이 논문에서는, 반도체 칩과 리드프레임을 결합하는 과정에서 점탄성 접착제층에 발생하는 잔류응력 문제를 다루고 있다. 접착제층은 “열유동단순”거동을 한다고 가정하였다. 접착제층에서의 응력들은 경계요소법을 사용하여 조사하였다. 매우 큰 응력 구배가 계면 모서리에서 발생하는데, 그러한 응력들은 국부 항복을 일으키거나, 칩과 리드프레임의 박리를 야기시킬 수 있음을 보여주고 있다.

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경계요소법을 이용한 2차원 와전류 문제에 대한 연구 (A Study of 2-D Eddy Current Problem Using Boundary Element Method)

  • 임의수;이향범
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 A
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    • pp.217-219
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    • 1999
  • This paper presents a study of 2-dimensional(2-D) eddy current problem using boundary element method(BEM). When compared with finite element method(FEM), there are only a few unknown variables in BEM because it implements numerical analysis only for the surface or boundary of a model. As a result, a lot of computational memory and time can be saved. In order to analyze 2-D eddy current problem, potentials and its derivatives(flux) in a boundary are used as variables. The Mantel function of the second kind of the zero order is used here as a fundamental solution. In order to remove singularity and to solve the integral equations in a boundary, Subtracting Singularity Method and Gauss Quadrature Formula are adopted in this paper.

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