• Title/Summary/Keyword: Rational B-spline surface equation

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Efficient Digitizing in Reverse Engineering By Sensor Fusion (역공학에서 센서융합에 의한 효율적인 데이터 획득)

  • Park, Young-Kun;Ko, Tae-Jo;Kim, Hrr-Sool
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.9
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    • pp.61-70
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    • 2001
  • This paper introduces a new digitization method with sensor fusion for shape measurement in reverse engineering. Digitization can be classified into contact and non-contact type according to the measurement devices. Important thing in digitization is speed and accuracy. The former is excellent in speed and the latter is good for accuracy. Sensor fusion in digitization intends to incorporate the merits of both types so that the system can be automatized. Firstly, non-contact sensor with vision system acquires coarse 3D point data rapidly. This process is needed to identify and loco]ice the object located at unknown position on the table. Secondly, accurate 3D point data can be automatically obtained using scanning probe based on the previously measured coarse 3D point data. In the research, a great number of measuring points of equi-distance were instructed along the line acquired by the vision system. Finally, the digitized 3D point data are approximated to the rational B-spline surface equation, and the free-formed surface information can be transferred to a commercial CAD/CAM system via IGES translation in order to machine the modeled geometric shape.

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A Flow Analysis of Vectored Thrust Nozzle Using Incompressible Navier-Stokes Solver (비압축성 Navier-Stokes 방정식을 이용한 추력 편향 노즐 해석(원통에서 사각형으로 변환하는 내부 흐름을 중심으로))

  • Shin Dae-Yong;Yoon Yong-Hyun
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.66-72
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    • 1997
  • Circular-to-rectangular transition ducts are used as exhaust components of high performance fighter aircraft with vectored thrust nozzles. Three-dimensional incompressible Navier-Stokes solver is used to analyze the transition duct. Cross sections of transition duct are defined by superelliptic equation. The grid system is generated by Non-Uniform Rational B-Spline, after generating surface grid by blending the cross sections. Good agreement between the results of the computational simulation and the experimental data is observed.

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Integration of Shell FEA with Geometric Modeling Based on NURBS Surface Representation (NURBS 곡면기반의 기하학적 모델링과 셀 유한요소해석의 연동)

  • Choi, Jin-Bok;Roh, Hee-Yuel;Cho, Maeng-Hyo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.1 s.256
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    • pp.105-112
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    • 2007
  • The linkage framework of geometric modeling based on NURBS(Non-Uniform Rational B-Spline) surface and shell finite analysis is developed in the present study. For this purpose, geometrically exact shell finite element is implemented. NURBS technology is employed to obtain the exact geometric quantities for the analysis. Especially, because NURBS is the most powerful and wide-spread method to represent general surfaces in the field of computer graphics and CAD(Computer Aided Design) industry, the direct computation of surface geometric quantities from the NURBS surface equation without approximation shows great potential for the integration between geometrically exact shell finite element and geometric modeling in the CAD systems. Some numerical examples are given to verify the performance and accuracy of the developed linkage framework. In additions, trimmed surfaces with some cutouts are considered for more practical applications.

Development of a Ship Calculation Program Based On the Geometric Model (형상모델 기반 선박계산 전산프로그램 개발)

  • Sang-Su Park;Kyu-Yeul Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.2
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    • pp.121-134
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    • 1999
  • In this paper, a ship calculation program is developed, which prof[nuts hydrostatics and volume calculation intact and damage stability and hull variation. Hull form and compartment geometry are expressed with NURBS curve wire-frame model. Hydrostatics and volume calculation are performed directly with the intersection method between section geometry and 3D planar surface. Equilibrium ship position is calculated with hydrostatic equilibrium equation which is linearized by 1st order Taylor series expansion sequentially. The developed program shows more accurate results and easy uses than the latter.

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