• 제목/요약/키워드: rational interpolation

검색결과 55건 처리시간 0.017초

A complete S-shape feed rate scheduling approach for NURBS interpolator

  • Du, Xu;Huang, Jie;Zhu, Li-Min
    • Journal of Computational Design and Engineering
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    • 제2권4호
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    • pp.206-217
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    • 2015
  • This paper presents a complete S-shape feed rate scheduling approach (CSFA) with confined jerk, acceleration and command feed rate for parametric tool path. For a Non-Uniform Rational B-Spline (NURBS) tool path, the critical points of the tool path where the radius of curvature reaches extreme values are found firstly. Then, the NURBS curve is split into several NURBS sub-curves or blocks by the critical points. A bidirectional scanning strategy with the limitations of chord error, normal/tangential acceleration/jerk and command feed rate is employed to make the feed rate at the junctions between different NURBS blocks continuous. To improve the efficiency of the feed rate scheduling, the NURBS block is classified into three types: short block, medium block and long block. The feed rate profile corresponding to each NURBS block is generated according to the start/end feed rates and the arc length of the block and the limitations of tangential acceleration/jerk. In addition, two compensation strategies are proposed to make the feed rate more continuous and the arc increment more precise. Once the feed rate profile is determined, a second-order Taylor's expansion interpolation method is applied to generate the position commands. Finally, experiments with two free-form NURBS curves are conducted to verify the applicability and accuracy of the proposed method.

한국인 질병의 장애가중치 측정 및 신뢰도 평가 (Disability Weights for Diseases in Korea)

  • 윤석준;도영경;권영훈;김창엽;박기동;김용익;신영수;이중규
    • Journal of Preventive Medicine and Public Health
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    • 제36권2호
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    • pp.163-170
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    • 2003
  • Objectives : This study aimed to develop an evaluation protocol of disability weights using person trade-off, and to test the reliability of the developed protocol in a Korean context. Methods : To develop the valuation protocol, the Global Burden of Disease(GBD) and the Dutch studies were replicated and modified. Sixteen indicator conditions were selected from the Korean version of disease classification, which was based on that of the GBD Study, and the person trade-off method referred to the Dutch method. Results : The disability weights were valued in a two step panel sfudy. The first step was a carefully designed group process by three panels, using person trade-off to establish the disability weights for sixteen selected indicator conditions. The second step consisted of interpolation of the remaining diseases, on a disability scale, by the individual members of three panels. The members of three panels were all medical doctors, with sufficient knowledge of the consequences of a broad variety of diseases. The internal consistency of the Korean disability weights was satisfactory. Considerable agreement existed within each panel and among the panels. Conclusions : It was feasible to use a modified evaluation protocol from those used in GBD and Dutch studies, This would provide a rational basis for an international comparative study of disability weights.

CAD 형상을 활용한 설계 민감도 해석 (Shape Design Sensitivity Analysis using Isogeometric Approach)

  • 하승현;조선호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.577-582
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    • 2007
  • A variational formulation for plane elasticity problems is derived based on an isogeometric approach. The isogeometric analysis is an emerging methodology such that the basis functions in analysis domain arc generated directly from NURBS (Non-Uniform Rational B-Splines) geometry. Thus. the solution space can be represented in terms of the same functions to represent the geometry. The coefficients of basis functions or the control variables play the role of degrees-of-freedom. Furthermore, due to h-. p-, and k-refinement schemes, the high order geometric features can be described exactly and easily without tedious re-meshing process. The isogeometric sensitivity analysis method enables us to analyze arbitrarily shaped structures without re-meshing. Also, it provides a precise construction method of finite element model to exactly represent geometry using B-spline base functions in CAD geometric modeling. To obtain precise shape sensitivity, the normal and curvature of boundary should be taken into account in the shape sensitivity expressions. However, in conventional finite element methods, the normal information is inaccurate and the curvature is generally missing due to the use of linear interpolation functions. A continuum-based adjoint sensitivity analysis method using the isogeometric approach is derived for the plane elasticity problems. The conventional shape optimization using the finite element method has some difficulties in the parameterization of boundary. In isogeometric analysis, however, the geometric properties arc already embedded in the B-spline shape functions and control points. The perturbation of control points in isogeometric analysis automatically results in shape changes. Using the conventional finite clement method, the inter-element continuity of the design space is not guaranteed so that the normal vector and curvature arc not accurate enough. On tile other hand, in isogeometric analysis, these values arc continuous over the whole design space so that accurate shape sensitivity can be obtained. Through numerical examples, the developed isogeometric sensitivity analysis method is verified to show excellent agreement with finite difference sensitivity.

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Development of triangular flat-shell element using a new thin-thick plate bending element based on semiLoof constrains

  • Chen, Yong-Liang;Cen, Song;Yao, Zhen-Han;Long, Yu-Qiu;Long, Zhi-Fei
    • Structural Engineering and Mechanics
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    • 제15권1호
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    • pp.83-114
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    • 2003
  • A new simple 3-node triangular flat-shell element with standard nodal DOF (6 DOF per node) is proposed for the linear and geometrically nonlinear analysis of very thin to thick plate and shell structures. The formulation of element GT9 (Long and Xu 1994), a generalized conforming membrane element with rigid rotational freedoms, is employed as the membrane component of the new shell element. Both one-point reduced integration scheme and a corresponding stabilization matrix are adopted for avoiding membrane locking and hourglass phenomenon. The bending component of the new element comes from a new generalized conforming Kirchhoff-Mindlin plate element TSL-T9, which is derived in this paper based on semiLoof constrains and rational shear interpolation. Thus the convergence can be guaranteed and no shear locking will happen. Furthermore, a simple hybrid procedure is suggested to improve the stress solutions, and the Updated Lagrangian formulae are also established for the geometrically nonlinear problems. Numerical results with solutions, which are solved by some other recent element models and the models in the commercial finite element software ABAQUS, are presented. They show that the proposed element, denoted as GMST18, exhibits excellent and better performance for the analysis of thin-think plates and shells in both linear and geometrically nonlinear problems.

GIS 및 공간통계를 활용한 낙동강 유역 수생태계의 건강성 평가 (Health Assessment of the Nakdong River Basin Aquatic Ecosystems Utilizing GIS and Spatial Statistics)

  • 조명희;심준석;이재안;장성현
    • 한국지리정보학회지
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    • 제18권2호
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    • pp.174-189
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    • 2015
  • 본 연구는 낙동강 유역의 수생태계 건강성 조사지점에서 생물 및 서식환경, 수질에 대한 건강성을 조사 및 평가한 결과자료를 이용하여 공간정보로 재구축하고 공간분석기법을 활용하여 낙동강 유역의 수생태계 보전 및 복원 정책의 합리적인 의사결정을 지원하고 효율적인 관리방안을 제시하는데 목적이 있다. 낙동강 유역의 수생태계 건강성을 분석하기 위하여 250개 조사구간의 수생태계 건강성 조사 및 평가 결과자료를 각 지점별 위치정보를 기반으로 점형 자료로 구축하였다. 그리고 공간적인 분석기법의 적용을 위해 면형 자료로 재구축 할 필요성이 있으며, 이를 위해 Kriging 보간법(ArcGIS 10.1, Geostatistical Analysis)을 활용하여 공간적 영향력 및 트랜드를 분석하였고 면형 자료로 재구축 하였다. 이를 바탕으로 낙동강 유역 건강성의 공간분포 특성을 분석하기 위해 Hotspot(Getis-Ord Gi, $G^*_i$)과 LISA(Local Indicator of Spatial Association), 표준편차타원체(Standard deviational ellipse) 분석을 활용하였다. Hotspot 분석 결과 생물지수(TDI, BMI, FAI)의 Hotspot 유역은 안동댐 상류, 왕피천, 임하댐 유역으로 생물지수의 건강성 등급이 양호한 것으로 분석되었으며, Coldspot 유역은 낙동강 남해, 낙동강 하구, 수영강 등의 유역으로 나타났다. LISA 분석 결과 이례지역은 가화천, 합천댐 상류, 영강 상류 유역으로 분석되었으며 이 지역은 생물 건강성 지수가 높은 유역이지만 주변 유역의 건강성이 낮아 수생태계 건강성에 대한 관리가 필요한 유역으로 분석되었다. 이화학적 요인(BOD)의 Hotspot 유역은 낙동강하류 유역과 수영강, 회야강, 낙동강남해 유역으로 나타났으며, Coldspot 유역은 안동댐, 임하댐, 영강 등 낙동강 지류의 상류 유역으로 분석되었다. 서식 및 수변환경(HRI)요인의 Hotspot과 LISA 분석결과 요인별 Hotspot과 Coldspot이 다르게 분석되었으나 일반적으로 낙동강 상류, 안동댐, 임하댐, 합천댐 유역 등 낙동강 본류와 지류의 상류 유역 서식 및 수변환경 건강성이 좋은 것으로 분석되었다. 서식 및 수변환경 요인이 Coldspot으로 나타난 유역들은 생물지수와 이화학적 요인의 건강성 지수도 낮게 나타나 서식 및 수변환경의 관리가 필요한 유역으로 판단할 수 있다. 표준편차타원체로 분석한 시계열 분석결과 생물과 서식 및 수변환경에 의한 수생태계 건강성이 좋은 지역이 점점 북쪽으로 이동하는 경향을 나타내고 있으며 BOD 결과는 조사년도에 따라 방향과 집중도가 각각 다르게 나타나는 것으로 분석되었다. 이러한 수생태계 건강성 분석 결과는 조사지점별 건강성 관리정보뿐만 아니라 향후 공간정보 기술기반 수환경 연구와 실무연구진을 위한 집수구역 단위 수생태계를 관리할 수 있는 정보를 제공할 수 있을 것으로 판단된다.