• 제목/요약/키워드: Circular Arc Method

검색결과 74건 처리시간 0.034초

원형 덕트유동에서의 Graetz 문제에 대한 이중교환 경계요소 해석 (Dual Reciprocity Boundary Element Analysis for the Graetz Problem in Circular Duct)

  • 최창용
    • 대한기계학회논문집B
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    • 제23권2호
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    • pp.243-253
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    • 1999
  • The dual reciprocity boundary element method (DRBEM) is used to solve the Graetz problem of laminar flow inside circular duct. In this method the domain integral tenn of boundary integral equation resulting from source term of governing equation is transformed into equivalent boundary-only integrals by using the radial basis interpolation function, and therefore complicate domain discretization procedure Is completely removed. Velocity profile is obtained by solving the momentum equation first and then, using this velocities as Input data, energy equation Is solved to get the temperature profile by advancing from duct entrance through the axial direction marching scheme. DRBEM solution is tested for the uniform temperature and heat flux boundary condition cases. Local Nusselt number, mixed mean temperature and temperature profile inside duct at each dimensionless axial location are obtained and compared with exact solutions for the accuracy test Solutions arc in good agreement at the entry region as well as fully developed region of circular duct, and their accuracy are verified from error analysis.

조질압연에서의 연신율제어를 위한 set-up 모델 개발 (Development of Set-up Model for Elongation Control in Steel Skin Pass Mill)

  • 이원호
    • 소성∙가공
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    • 제10권2호
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    • pp.130-136
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    • 2001
  • The mathematical set-up model was developed to reduce the mechanical property deviation in annealed and slightly rolled steel strip. The mechanical peculiarities of skin pass rolling process, such as high friction value and non-circular contact arc, low reduction and non-negligible entry and exit elastic zones as well as central restricted deformation zone are all taken into account. The deformation of work rolls is calculated with the influence function method and arbitrary contact arc shape is permitted. The strip deformation is modeled by slab method and the entry and exit elastic deformation zones are included. The strip restricted deformation zone near the neutral point is also considered. It was revealed that the new model has better accuracy than present regression model by statistical analysis with actual mill rolling data.

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강판의 연신율제어를 위한 Set-Up 모델 개발 (Development of set-up model for elongation control in steel skin pass mill)

  • 이원호;이규택;류율리
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.317-317
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    • 2000
  • The mathematical set-up model was developed to reduce the mechanical property deviation in annealed and slightly rolled steel strip. The mechanical peculiarities of temper rolling process, such as high friction value and non-circular contact arc, Low reduction and non-negligible entry and exit elastic zones as well as central restricted deformation zone are all taken into account. The deformation of work rolls is calculated with the influence function method and arbitrary contact arc shape is permitted. The strip deformation is modeled by slab method and the entry and exit elastic deformation zones are included. The restricted deformation Bone near the neutral point is also considered. It was revealed that the new model has better accuracy than present regression model by statistical analysis with actual mill rolling data.

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GIS 기반 원형 카토그램 기법을 이용한 카토그램 제작 방법 연구 (Constructing Area Cartogram Using a GIS Based Circular Cartogram Technique)

  • 김영훈
    • 대한지리학회지
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    • 제43권2호
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    • pp.235-252
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    • 2008
  • 지리정보시스템(Geographic Information System, GIS) 활용이 확대됨에 따라서 다양하고 복잡한 사회경제적 변수의 시각적 전달은 공간 분석과 더불어 중요한 연구 주제라고 할 수 있다. 그러나 시각화 기술 자체의 복잡성과 GIS와의 연계성 부족으로 인해 지도화 및 시각화 기법이 제공하는 여러 장점들이 제대로 전달되고 있지 못하고 있다. 이에 대하여 본 연구에서는 카토그램(cartogram) 기법을 적용하여 다양한 인구 관련 변수의 공간적 관계를 효과적으로 지도화할 수 있는 방법을 논의하고자 한다. 이를 위하여 본 연구에서는 범용 GIS 프로그램에서 카토그램이 쉽게 제작될 수 있는 환경을 제안하고, 일반인이나 GIS 초급자들도 손쉽게 구현할 수 있는 과정을 제시하였다. 또한 카토그램의 시각적 정보 전달 및 활용성 증대을 위해서 본 연구에서는 Dorling (1996)이 개발한 원형 카토그램 알고리즘(Circular Cartogram Algorithm, CCA)과 ArcView GIS 3.3. 프로그램의 내적 결합 방법을 적용하여 CCA 기반의 원형 카토그램이 범용 GIS 프로그램내에서 효과적으로 구현될 수 있는 사례를 계시하였다. 마지막으로 실질적인 카토그램 제작 사례로써 2005년 인구 센서스 자료를 대상으로 인구와 가구 변수의 카토그램 지도를 통한 관련 센서스 변수들과 지리적인 공간 분포 패턴의 시각적 분석의 가능성을 제안하였다.

EHL 개념을 도입한 PLANOCENTRIC GEATS 장치의 설계 최적화 (CAD Optimisation of The Planocentric Gears From EHL(elasto-hydrodynamic lubrication) Concept)

  • 권오관;이성철;김이범
    • Tribology and Lubricants
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    • 제1권1호
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    • pp.69-79
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    • 1985
  • Planocentric gears 장치에서 내치차에 pin type의 치형을 사용하고 휠의 치형을 원호로 구성하였을 경우 치의 접촉특성을 탄성유역학적 윤활이론을 도입하여 해석 하였다. 윤활 특성을 개선하기 위하여 물림 위치(meshing position)에 의거한 설계 방법과 치의 모서리 부분 형상을 만곡되게 하는 치형 설계 방법을 제시하고 기존 설계에 의한 장치와 수치적으로 특성을 비교 하였다.

Numerical nonlinear bending analysis of FG-GPLRC plates with arbitrary shape including cutout

  • Reza, Ansari;Ramtin, Hassani;Yousef, Gholami;Hessam, Rouhi
    • Structural Engineering and Mechanics
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    • 제85권2호
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    • pp.147-161
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    • 2023
  • Based on the ideas of variational differential quadrature (VDQ) and finite element method (FEM), a numerical approach named as VDQFEM is applied herein to study the large deformations of plate-type structures under static loading with arbitrary shape hole made of functionally graded graphene platelet-reinforced composite (FG-GPLRC) in the context of higher-order shear deformation theory (HSDT). The material properties of composite are approximated based upon the modified Halpin-Tsai model and rule of mixture. Furthermore, various FG distribution patterns are considered along the thickness direction of plate for GPLs. Using novel vector/matrix relations, the governing equations are derived through a variational approach. The matricized formulation can be efficiently employed in the coding process of numerical methods. In VDQFEM, the space domain of structure is first transformed into a number of finite elements. Then, the VDQ discretization technique is implemented within each element. As the last step, the assemblage procedure is performed to derive the set of governing equations which is solved via the pseudo arc-length continuation algorithm. Also, since HSDT is used herein, the mixed formulation approach is proposed to accommodate the continuity of first-order derivatives on the common boundaries of elements. Rectangular and circular plates under various boundary conditions with circular/rectangular/elliptical cutout are selected to generate the numerical results. In the numerical examples, the effects of geometrical properties and reinforcement with GPL on the nonlinear maximum deflection-transverse load amplitude curve are studied.

New Analytical Method with Curvature Based Kinematic Deflection Curve Theory

  • Tayyar, Gokhan Tansel
    • International Journal of Ocean System Engineering
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    • 제2권3호
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    • pp.195-199
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    • 2012
  • This paper reports a new analytical method to calculate the planar displacement of structures. The cross-sections were assumed to remain in plane and the deflection curve was evaluated using the curvature values geometrically, despite being solved with differential equations. The deflection curve was parameterized with the arc-length of the curvature values, and was taken as an assembly of chains of circular arcs. Fast and accurate solutions of complex deflections can be obtained easily. This paper includes a comparison of the nonlinear displacements of an elastic tapered cantilever beam with a uniform moment distribution among the proposed analytical method, numerical method of the theory and large deflection FEM solutions.

Biarc 곡선보간에 의한 캠 부품형상 가공에 관한 연구 (A Study on the Machining of Cam Profile Part by Basic Interpolation Method)

  • 정창영;김영국;윤문철;심성보;하만경;김광희
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2001년도 춘계학술대회 논문집
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    • pp.975-978
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    • 2001
  • For machining auto-mobile cam, the developed biarcs-fitting method eliminates the ridge problems in conventional straight-line fitting approximation or single-arc fitting of curve tool path where it leaves ridges of tool marks on the machined surface of the workpiece. The powerful advantage of this biarc method is demonstrated by applying it to the numerically controlled machining of a curved cam profile, also verified by using a CNC simulating program for auto-mobile cam profile. As a result, this algorithm may be used in CNC milling and turning for cam profile machining with short block line.

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Feature Based Map Building Method Using Sonar Data

  • Soo, Kang-Byung;Hwan, Lim-Jong
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.134.1-134
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    • 2001
  • The paper presents a sonar based map building method. The environment is a room or area inside a building, which is composed of four types of geometric primitives(corners, edges, cylinders, and walls). We also assume the environment can be modeled into two dimensional map in terms of planes(walls), points(corner and edge), and circle(cylinder). In a real world where most of the object surfaces are specular ones, a sonar sensor suffers from a multipath effect which results in a wrong interpretation of the location of an object. To reduce the effect and uncertainty, the method employs a simple thresholding technique for extracting circular arc features called regions of constant depth(RCD) from scanning sonar data. The usefulness of the approach is illustrated with the results produced by sets of experiments.

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캠 형상 가공을 위한 Biarc 곡선보간법을 이용한 NC 프로그래밍의 자동화에 관한 연구 (A Study on the Automation of NC Programming for Machining Cam Profile by Biarc Interpolation Method)

  • 정창영;김영국;윤문철;심성보;하만경;김광희
    • 동력기계공학회지
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    • 제5권2호
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    • pp.43-49
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    • 2001
  • For machining auto-mobile cam, the developed biarcs-fitting method eliminates the ridge problems in conventional straight-line fitting approximation or single-arc fitting of curve tool path where it leaves ridges of tool marks on the machined surface of the workpiece. The powerful advantage of this biarc method is demonstrated by applying it to the numerically controlled machining of a curved cam profile, also verified by using a CNC simulating program for auto-mobile cam profile. As a result, this algorithm may be used in CNC milling and turning for cam profile machining with short block line.

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