• 제목/요약/키워드: Numerical solution

검색결과 4,041건 처리시간 0.025초

원호운동 필렛 엔드밀과 Z-맵 벡터의 교점 계산 (Calculation of Intersection between Z-map Vectors and Circularly Moving Filleted-end Mills)

  • 맹승렬;백낙훈;신성용;최병규
    • 한국CDE학회논문집
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    • 제8권4호
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    • pp.278-288
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    • 2003
  • Presented in this paper is a numerical method for calculating the intersection points between Z-map vectors and the tool swept surface for circularly moving filleted-end mills. In numerically controlled(NC) machining simulation for large moulds and dies, a workpiece is frequently approximated as a set of z-axis aligned vectors, called Z-map vectors, and then the machining processes can be simulated through updating the Z-map with the intersection points. Circular motions are typically used for machining the free-form surfaces. For fast computation, we express each of intersection points with a single-variable non-linear equation and calculate the candidate interval in which the unique solution exists. Then, we prove the existence of a solution and its uniqueness in this candidate interval. Based on these properties, we can effectively apply numerical methods to finally calculate the solution of the nonlinear equation within a given precision. Experimental results are given for the case of a TV monitor and the hood of a car.

A new approach for the cylindrical cavity expansion problem incorporating deformation dependent of intermediate principal stress

  • Zou, Jin-Feng;Xia, Ming-yao
    • Geomechanics and Engineering
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    • 제12권3호
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    • pp.347-360
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    • 2017
  • The problem of cylindrical cavity expansion incorporating deformation dependent of intermediate principal stress in rock or soil mass is investigated in the paper. Assumptions that the initial axial total strain is a non-zero constant and the axial plastic strain is not zero are defined to obtain the numerical solution of strain which incorporates deformation-dependent intermediate principal stress. The numerical solution of plastic strains are achieved by the 3-D plastic potential functions based on the M-C and generalized H-B failure criteria, respectively. The intermediate principal stress is derived with the Hook's law and plastic strains. Solution of limited expansion pressure, stress and strain during cylindrical cavity expanding are given and the corresponding calculation approaches are also presented, which the axial stress and strain are incorporated. Validation of the proposed approach is conducted by the published results.

내부 핀이 부착된 열교환기의 유동장해석 (Analysis of flow and heat transfer in internally finned tube)

  • 정호열;정재택;고형종
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1999년도 추계 학술대회논문집
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    • pp.139-144
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    • 1999
  • There have been many studies for heat transfer enhancement. Particularly, the study of flow in heat exchangers which have fin device has been main theme in heat transfer area. Practically, the circular tube which has internal fins is widely used for developing heat transfer rate. In this study, flow and heat transfer analysis of the circular tube with fins are investigated. The height and the number of fins are arbitrary. The flow field is assumed to be laminar. The conformal mapping is used for analytic solution of the laminar flow field. Discretization of governing equation, namely, FDM was used for numerical analysis. The velocity field, flow rate and shear stress are calculated for some numbers of fins in circular tube and for some heights of fin. Temperature fields are plotted along the tube length. It can be shown that the numerical solution agrees with the analytical solution.

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축 대칭 지형에서의 처오름 높이 (Run-up Height around Axis-symmetric Topographies)

  • 정태화;류용욱
    • 한국콘텐츠학회논문지
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    • 제15권6호
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    • pp.539-546
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    • 2015
  • 본 연구에서는 수심이 해안선에서 0이 되며 임의로 변하는 축 대칭 지형의 주변을 통과하는 파를 해석하기 위하여 타원형 완경사 방정식을 이용한 수치모델을 개발하였다. 수치해석을 위해 전체 영역을 세 부분으로 구분하였는데, 안쪽 및 바깥쪽 영역에서는 기존 해석해를 활용하였으며, 가운데 영역에서는 지배방정식에서 유한요소기법을 적용하였다. 영역 1에서의 해석해는 변수분리법 및 Frobenius 급수를 사용하였다. 개발된 수치해는 기존에 존재하는 해석해와 비교하여 타당성을 검증하였으며 다양한 경우에 적용하여 활용성을 검토하였다.

제2종 Rredholm 적분방정식의 새로운 수식해법 (An Alternative Point-Matching Technique for Fredholm Integral Equations of Second Kind)

  • 이직열;김정기
    • 대한전자공학회논문지
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    • 제22권5호
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    • pp.83-86
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    • 1985
  • Fredholm 제 2종 적분 방정식의 수치해법에 관한 새로운 기범을 제시하였다. 문제 영역의 절점에 데이터를 혼합 형태로 가함으로써 근사해를 구하였다. 수치 해법에서 오차를 줄이기 위하여 모든 절정에서 2번 연속 미분가능한 cubic B-spline 함수를 기저함수로 사용하였다. 기저함수로서 cubit B-spline 함수를 이용한 본 기법의 결과와 기저함수로 pulse 함수 test 함수로는 delta 함수를 이용한 모멘트법의 결과를 예제를 통하여 비교하였다. 또한 이 방법에 대한 수렴 조건을 기술 하였다.

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Dynamic simulation models for seismic behavior of soil systems - Part II: Solution algorithm and numerical applications

  • Sahin, Abdurrahman
    • Geomechanics and Engineering
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    • 제9권2호
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    • pp.169-193
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    • 2015
  • This paper is the second part of the study for determining the seismic behavior of soil systems. The aim of this part is to present solution approaches for determining seismic site amplification. For this purpose, two solution techniques are used. The first technique is equivalent linear analysis which is mostly used in literature. The other technique is real time parameter updating approach and this approach uses the possibilities of Simulink effectively. A graphical user interfaced (GUI) program called DTASSA standing for Discrete-Time Analysis of Seismic Site Amplification is developed. In DTASSA, automatic block diagram producing system is developed and seismic site amplification for multiple soil layers may easily be investigated in real time. Numerical applications have been carried out to check the reliability of developed algorithm. The results of DTASSA are compared with SUA, EERA and NERA programs for the particular example problems.

Solution of the Radiation Problem by the B-Spline Higher Order Kelvin Panel Method for an Oscillating Cylinder Advancing in the Free Surface

  • Hong, Do-Chun;Lee, Chang-Sup
    • Journal of Ship and Ocean Technology
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    • 제6권1호
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    • pp.34-53
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    • 2002
  • Numerical solution of the forward-speed radiation problem for a half-immersed cylinder advancing in regular waves is presented by making use of the improved Green integral equation in the frequency domain. The B-spline higher order panel method is employed stance the potential and its derivative are unknown at the same time. The present numerical solution of the improved Green integral equation by the B-spline higher order Kelvin panel method is shown to be free of irregular frequencies which are present in the Green integral equation using the forward-speed Kelvin-type Green function.

CGM을 이용한 완경사방정식의 수치해석 (Numerical Solution of the Mild Slope Equation by Conjugate Gradient Method)

  • 윤종태
    • 한국해안해양공학회지
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    • 제5권2호
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    • pp.84-90
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    • 1993
  • 구형 해저지형과 이안제를 가진 해안에 대한 완경사방정식의 해를 구하는데 반복기법(Conjugate Gradient Method, Panchang et al., 1991)을 사용하였다. 지형 및 구조물로 인한 파랑의 전파변형에 대한 계산결과가 실험치와도 잘 일치하였다. 종내 과도한 기억용량 때문에 광역에는 완경사방정식을 그대로 사용하기가 어려웠지만 이 기법을 사용하면 그런 어려움은 해결된 것으로 판단된다. 특히 소요되는 계산시간이 짧고 복잡한 지형 및 구조물에 대해서도 별 어려움 없이 적용할 수 있는 것이 큰 장점이다.

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응답변위법에 의한 터널의 내진해석 (Seismic Analysis of Tunnel Response by Response Displacement Method)

  • 윤세웅;신종호;박두희
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 세계 도시지반공학 심포지엄
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    • pp.457-462
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    • 2009
  • In this study, seismic analysis is performed using simplified method, analytical solution and numerical analysis based on one-dimensional seismic site response analysis. The results show that analytical solution of tunnel response is predicted more conservative than numerical solution. And simplified method is not appropriate for seismic analysis of tunnel response. In addition, it is reasonable to determine shear-modulus reduction ratio performing seismic site response analysis to consider ground nonlinear-behavior.

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후처리 에러산정을 위한 가상해 도출방법 (Solution Recovery Techniques for Posteriori Error Estimation)

  • Lee, Sang-Ho;Kim, Sang-Hyo
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 봄 학술발표회 논문집
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    • pp.47-53
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    • 1996
  • An enhanced solution recovery method for recovering accurate derivatives such as moments, or shears, from finite element solutions for $C^{0}$ beam and plate is presented. In the enhanced method, the square of the residuals in the equilibrium equations is included. Results are compared with those of standard Zienkiewicz-Zhu methods. Numerical examples show that in the global projection, the enhanced technique improves the accuracy of projected solution significantly. In the local projection, the enhanced method circumvents the numerical ill-conditioning which occurs in some meshes, and usually recovers derivatives with better accuracy.y.

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