• Title/Summary/Keyword: 자유 곡면

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Ball end milling of sculptured surface models by considering machinability (절삭성을 고려한 자유곡면 모형의 볼 엔드 밀링가공에 관한 연구)

  • 박천경;맹희영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.2048-2061
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    • 1991
  • As compared with other cutting types, the ball end milling process causes a complexity in cutting system and a falling-off of machinability. In order to increase the productivity and efficiency in th NC machining of sculptured surfaces, this study carried out the qualitative linearized evaluation about the ball end milling system and applied their practical expressions to the technological processor at the cutter path planning stage. The evaluated expressions were proved to be adequate for practical use from an accuracy point of view and the estimation models were applied to sculptured surface machining processes for finding variable machining conditions. Consequently, it was recognized that variable machining conditions bring about the dispersion of force system and the reduction of machining time by more than 50%.

Design of a Bar-type TIR Lens Having a Freeform Surface for Forming a Line Beam Using an LED Light Source (LED 광원 사용 시 line beam 형성을 위한 자유 곡면 bar type의 TIR lens 설계)

  • Seo, Jin-Hee;Lee, Jeong-Su;Kim, Seo-Young;Jeong, You-Jin;Park, Hye-Jin;Nam, Deuk-Young;Jung, Mee-Suk
    • Korean Journal of Optics and Photonics
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    • v.28 no.6
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    • pp.295-303
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    • 2017
  • In this paper, we have studied a method of forming a line beam using a UV LED. The existing linear-type UV LED curing optical system is composed of several cylindrical lenses, but problems such as optical system alignment, enlargement of the module, efficiency, etc. may arise in the future. As an alternative to these problems, a bar-type TIR lens having a freeform surface only in the y-axis direction is designed, to verify that it shows advantages in maximum illuminance, uniformity of illuminance, and flux efficiency.

A Unified Surface Modeling Technique Using a Bezier Curve Model (de Casteljau Algorithm) (베지에 곡선모델 (드 카스텔죠 알고리듬) 을 이용한 곡면 통합 모델링 기법)

  • Rhim, Joong-Hyun;Lee, Kyu-Yeul
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.4
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    • pp.127-138
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    • 1997
  • In this study, a new technique is presented, by which one can define ship hull form with full fairness from the input data of lines. For curve modeling, the de Casteljau Algorithm and Bezier control points are used to express free curves and to establish the unified curve modeling technique which enables one to convert non-uniform B-spline (NUB) curve or cubic spline curve into composite Bezier curves. For surface modeling, the mesh curve net which is required to define surface of ship hull form is interpolated by the method of the unified curve modeling, and the boundary curve segments of Gregory surface patches are generated by remeshing(rearranging) the given mesh curve net. From these boundary information, composite Gregory surfaces of good quality in fairness can be formulated.

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Curved quadratic triangular degenerated-shell elements for geometric non-linear analysis (기하학적 비선형 해석을 위한 곡면 2차 삼각형 쉘 요소에 관한 연구)

  • Kim, Chang-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.2
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    • pp.46-53
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    • 2005
  • Compare to the large number of curved quadrilateral degenerated-shell elements, there are only a very few curved triangular degenerated-shell elements. Based on the assumed natural strain sampling scheme previously developed for a quadratic degenerated-shell element for linear analysis, this paper devises geometric non-linear six-node degenerated-shell element. The element can be curved and is only equipped with the standard nodal d.o.f.'s. Careful consideration has been exercised to circumvent various locking phenomena that plague degenerated-shell element. Numerical examples are presented to illustrate efficiency.

Studies of Interface Continuity in Isogeometric Structural Analysis for Multi-patch Shell Components (다중 패치 쉘 아이소 지오메트릭 해석의 계면 연속성 검토)

  • Ha, Youn Doh;Noh, Jungmin
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.2
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    • pp.71-78
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    • 2018
  • This paper presents the assembling of multiple patches based on the single patch isogeometric formulation for the shear deformable shell element given in the previous study. The geometrically exact shell formulation has been accomplished with the shell theory based formulation and the generalized curvilinear coordinate system directly derived from the given NURBS geometry. For the knot elements matching across adjacent surfaces, the zero-th and first parametric continuity conditions are considered and the corresponding coupling constraints are implemented by a master-slave formulation between adjacent patches. The constraints are then enforced by a substitution method for condensation of the slave variables, thereby reducing the model size. Through numerical investigations, the important features of the first parametric continuity condition are confirmed. The performance of the multi-patch shell models is also examined comparing the rate of convergence of response coefficients for the zero and first order continuity conditions and continuity in coupling boundary between two patches is confirmed.

A Four-node General Shell Element with Drilling DOFs (면내회전자유도를 갖는 4절점 곡면 쉘요소)

  • Chung, Keun-Young;Kim, Jae-Min;Lee, Eun-Haeng
    • Journal of the Earthquake Engineering Society of Korea
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    • v.16 no.4
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    • pp.37-52
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    • 2012
  • In this study, a new 4-node general shell element with 6 DOFs per node is presented. Drilling rotational degrees of freedom are introduced by the variational principle with an independent rotation field. In formulation of the element, substitute transverse shear strain fields are used to avoid shear locking, while four nonconforming modes are applied in the in-plane displacement fields as a remedy for membrane locking. In addition, a direct modification method for nonconforming modes is employed in the numerical implementation of nonconforming modes to represent constant strain states. A 9-points integration rule is adopted for volume integration in the computation of the element stiffness matrix. With the combined use of these techniques, the developed shell element has no spurious zero energy modes, and can represent a constant strain state. Several numerical tests are carried out to evaluate the performance of the new element developed. The test results show that the behavior of the elements is satisfactory.

System Synthesis for On-the-Machine Measuring and Inspection of Freeform Surfaces (자유곡면의 온더머신 측정 및 검사를 위한 시스템 설계)

  • 남우선;정성종
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.12
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    • pp.81-88
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    • 1998
  • Measurement and inspection of freeform surfaces are required in reverse design processes. In the case of surface measurement using a touch probe, probe radius compensation affects measuring accuracy. But current industrial practice depends upon an operator's experience to compensate for probe radius. In this paper, an on-the-machine measuring and inspection system for freeform surfaces is studied. Probe radius compensation methodology is investigated by modeling of B-spline surfaces based on digitized data. The accuracy and reliability of the developed system is verified through various kinds of numerical simulations and on-the-machine experiments.

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3차원 자유곡면 온더머신 측정 및 검사 시스템의 개발

  • 남우선;정성종
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.911-914
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    • 1995
  • Measurement and inspection of freeform surface are required in reverse design process. In the case of surface measurement using a touch probe, probe radius compensation affects measuring accuracy But current industrial practice depends upon an operator's experience to compensate for probe radius. In this paper, an on-the-machine measuring and inspection system for freeform surfface was developed. Probe radius compensation methodology was studied via modeling of B-spline surfaces based on digitized data. The accuracy and reliability of the measurement system was confirmed through various kinds of experiments.

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Interferece-free tool path generation for four-axis NC machining (4축 밀링가공을 위한 간섭없는 공구경로 생성에 관한 연구)

  • 서석환;이기상
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.815-820
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    • 1991
  • 4축 자유곡면가공에 있어서 공구간섭 문제는 가공형상의 취득성 뿐만 아니라 가공의 정밀도를 위하여 매우 중요한 고려사항이다. 공구의 접근자세가 고정된 3축 밀링가공의 공구 간섭에 관한 기존의 많은 연구가 있지만 이러한 연구는 공구의 접근자세가 변하는 4축 밀링가공에의 적용이 곤란하다. 왜냐하면 곡면의 형상에 따라 공구몸체의 곡면사이의 간섭문제가 부각되며, 이에 따른 공구자세의 창출문제가 해결되어야 하기 때문이다. 따라서 본 논문에서는 4축가공에서 발생할 수 있는 공구 간섭을 유형별로 분류, 각 간섭들을 발견하고 해결할 수 있는 방법의 전개와 이 방법을 이용하여 공구경로를 산출하고 그래픽 시뮬레이션과 실제의 시험절삭을 통하여 제시된 방법의 유효성을 검증한다.

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A Study on Hull Form Design Techniques Based on Graphical User Interface (그래픽 사용자 인터페이스(GUI)를 도입한 선형설계 기법에 관한 연구)

  • H. Shin;K.W. Park
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.4
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    • pp.17-22
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    • 1993
  • The intersection problem of three-dimensional free form surfaces can be solved by geometrical and numerical methods. Up to now, the subdivision technique, which is classified under the former, has been largely employed to find the cross section of ship hull form. In this paper, an algorithm is presented for intersecting ship hull form in high speed. The high speed calculation algorithm is based on simple numerical methods, such as the secant method, false position method and bisection method. The algorithm is directly applicable to depicting arbitrary ship cross sections, drawing ship lines and constructing the offset table.

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