• Title/Summary/Keyword: Free-form Surface

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Development of Free-form PALs for Correcting Wavefront Refraction (파면굴절력 교정을 위한 자유형상 누진가입도렌즈 개발)

  • Baarg, Saang-Bai;Jeong, Mee-Suk
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.2
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    • pp.50-59
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    • 2010
  • In this paper, two kind of free-form progressive addition lenses (PALs) were designed with Zernike polynomial surface and anatomically accurate finite presbyopic schematic eyes which have aspheric cornea, aspheric GRIN crystalline lens, aspheric retina, and Gaussian apodization factor. Geometrical and diffraction MTFs were used for the optimization process in sequence. 5th orders of Zernike polynomials were used for the evaluation of progression zones of the two examples. The target MTF was set as 0.22 at 100 lp/mm which satisfies the standard visual resolution. These examples were fabricated with a CNC diamond turning machine controlled by slow tool servo (STS). After polishing process, the wavefront aberrations were measured with a laser interferometer on the ten test points across the progression zones and then compared with three current commercially available PALs on the optical performance. Astigmatic aberrations of the examples are very lower than the three selected PALs and have more increased stabilized progressive intermediate zones and near zones. It is expected to give better clear and comfortable distance, intermediate and near visions than other conventional PALs and to improve the adaptability of presbyopic patients to PALs.

A Study on Processing Shape and Surface Roughness of Aluminum Alloy by MCT Processing (MCT 가공을 통한 알루미늄 합금의 표면 거칠기와 가공형상에 관한 연구)

  • Kim, Gue-Tae;Kim, Won-Il
    • Journal of the Korean Society of Industry Convergence
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    • v.16 no.3
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    • pp.85-93
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    • 2013
  • The MCT has been most extensively used in the machining. In particular, the ball endmill has been mainly adopted for finishing on the free- form surface. The advancement of CAD/CAM software has made it possible to develop various cutting pattern methods and to create diverse tool routes. Therefore, the current research made an attempt to find the optimal cutting pattern among the seven cutting patterns (i.e., Follow Periphery, Zig, Zig Zag, Concentric Zig, Concentric Zig Zag, Radial Zig, Radial Zig Zag) when aluminium 6000 series were machined by the ball endmill. The optimal pattern was found by comparing different shapes and surface roughness produced by the seven patterns. The current research found that each cutting pattern produced its own unique geometric features on the machined surface. It was found that the Radial Zig cutting pattern produced the lowest roughness on the flat surfaces. The Radial Zig Zag cutting pattern was found to produce the most accurate free-form surface. Finally, the most efficient cutting pattern in terms of machining time turned out to be the Follow Periphery.

Development of Profilometry based on a Curvature Measurement (곡률에 근거한 형상 측정기술 개발)

  • Kim, Byoung-Chang
    • Korean Journal of Optics and Photonics
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    • v.18 no.2
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    • pp.130-134
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    • 2007
  • I present a novel curvature profilometer devised fur the profile measurement of aspheric and free-form surfaces on the nanometer scale. A profile is reconstructed from measuring the curvature of a test part of the surface at several locations along a line. For profile measurement of free-farm surfaces, methods based on local part curvature sensing have strong appeal. Unlike full-aperture interferometry they do not require customized null optics. The measurement accuracy of the curvature profilometer was assessed by comparison with a well-calibrated interferometer in NIST. Experimental results prove that the maximum discrepancy turns out to be 37 nm on the 28 mm measurement range for the spherical mirror.

Automatic Mesh Generation for Three-Dimensional Structures Consisting of Free-Form Surfaces (자유 곡면으로 구성되는 3차원 구조물에 대한 자동 요소 분할)

  • ;Yagawa, Genki
    • Korean Journal of Computational Design and Engineering
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    • v.1 no.1
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    • pp.65-75
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    • 1996
  • This paper describes an automatic finite element(FE) mesh generation for three-dimensional structures consisting of free-form surfaces. This mesh generation process consists of three subprocesses: (a) definition of geometric model, i.e. analysis model, (b) generation of nodes, and (c) generation of elements. One of commercial solid modelers is employed for three-dimensional solid and shell structures. Node is generated if its distance from existing node points is similar to the node spacing function at the point. The node spacing function is well controlled by the fuzzy knowledge processing. The Delaunay method is introduced as a basic tool for element generation. Automatic generation of FE meshes for three-dimensional solid and shell structures holds great benefits for analyses. Practical performances of the present system are demonstrated through several mesh generations for three-dimensional complex geometry.

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A Study on the Acceleration and Deceleration Control of Free-Form Surfaces (자유곡면의 가감속 제어에 관한 연구)

  • Baek, Dae Kyun;Yang, Seung-Han
    • Journal of the Korean Society for Precision Engineering
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    • v.33 no.9
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    • pp.745-751
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    • 2016
  • This paper presents the acceleration and deceleration control of free-form surfaces. A rapid variation of acceleration (or Deceleration) drives the system into a machine shock, resulting in the inaccuracy of the path control of the NURBS curve. The pattern of acceleration control can be established using the curvature of the NURBS curve. The curvature can be easily calculated from the first and second derivative of the NURBS curve used in Taylor's expansion for NURBS interpolation. However, the derivatives are not used in the recursive method for NURBS interpolation. Hence, we attempted the difference-derivatives for calculating the NURBS curvature. Both, Taylor's expansion and the recursive method, are used jointly for controlling the acceleration in the same interpolation algorithm.

Development of an Optimum Hull Form for a Container Ship with Minimum Wave Resistance (최소 조파저항을 가지는 컨테이너선의 선형최적화 기법에 대한 연구)

  • 최희종;서광철;김방은;전호환
    • Journal of the Society of Naval Architects of Korea
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    • v.40 no.4
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    • pp.8-15
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    • 2003
  • This paper presents the method for developing an optimum hull form with minimum wave resistance using SQP(sequential quadratic programming) as an optimization technique. The wave resistance is evaluated by a Rankine source panel method with non-linear free surface conditions and the ITTC 1957 friction line is used to predict the frictional resistance coefficient. The geometry of the hull surface is represented and modified using B-spline surface patches. The optimization method is applied to Series 60 hull and KCS(KRISO 3600 TEU Container Ship). The obtained results prove that the method is appropriate for preliminary hull form design.

Optimal Cutting Condition in Side Wall Milling Considering Form Accuracy (측벽 엔드밀 가공에서 형상 정밀도를 고려한 최적 절삭 조건)

  • 류시형;최덕기;주종남
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.10
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    • pp.31-40
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    • 2003
  • In this paper, optimal cutting condition to minimize the form error in side wall machining with a flat end mill is studied. Cutting forces and tool deflection are calculated considering surface shape generated by the previous cutting such as roughing. Using the form error prediction method from tool deflection, optimal cutting condition considering form accuracy is investigated. Also, the effects of tool teeth number, tool geometry and cutting conditions on form error are analyzed. The characteristics and the difference of generated surface shape in up and down milling are discussed and over-cut free condition in up milling is presented. Form error reduction method through successive up and down milling is also suggested. The effectiveness and usefulness of the presented method are verified from a series of cutting experiments under various cutting conditions. It is confirmed that form error prediction from tool deflection in side wall machining can be used in optimal cutting condition selection and real time surface error simulation for CAD/CAM systems. This study also contributes to cutting process optimization for the improvement of form accuracy especially in precision die and mold manufacturing.

Flow behaviors of square jets surface discharged and submerged discharged into shallow water (천해역에 수표면 및 수중방류된 사각형제트의 흐름 거동)

  • Kim, Dae-Geun;Kim, Dong-Ok
    • Journal of Korean Society of Water and Wastewater
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    • v.25 no.5
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    • pp.627-634
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    • 2011
  • In the present study, the flow behaviors of square jets surface discharged and submerged discharged into shallow water were each simulated using computational fluid dynamics, and the results were compared. As for the verification of the models, the results of the hydraulic experiment conducted by Sankar, et al. (2009) were used. According to the results of the verification, the present application of computational fluid dynamics to the flow analysis of square jets discharged into shallow water was valid. As for the wall jet, which is one form of submerged discharges, at the bottom wall boundary, the peak velocity of the jet rapidly moved from the center of the jet to the bottom wall boundary due to the restriction of jet entrainment and the no-slip condition of the bottom wall boundary, and, as for the surface discharge, because jet entrainment is limited on the free water surface, the peak velocity of the jet moved from the center of the jet to the free water surface. This is because jet entrainment is restricted at the bottom wall boundary and the surface so that the momentum of the central core of the jet is preserved for considerable time at the bottom wall boundary and the surface. In addition, due to the effect of the bottom wall boundary and the free water surface, the jet discharged into shallow water had a smaller velocity diminution rate near the discharge outlet than did the free jet; at a location where it was so distant from the discharge outlet that the vertical profile of the velocity was nearly equal (b/x =20~30), moreover, it had a far smaller velocity diminution rate than did the free jet due to the effect of the finite depth.

Ship Lines Creation by B-Spline Form Parameter Method (B-Spline 형상계수 방법에 의한 선형 생성)

  • S.Y. Kim;S.W. Kang
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.2
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    • pp.8-17
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    • 1992
  • There has been considerable reseach on the representation of a hull form which is a 3-dimensional free surface. A form parameter method to describe the hull form by means of form parameters which represent the characteristics of the given hull form geometry has been recently paid special attention with the advent of powerful computer. However, there have been reported many problems to the conventional form parameter for the practical hull form generation. In the present paper, an attempt has been made to creak hull form by combining the form parameter method with the B-spline curve which can be best fitted to free surfaces. In an application, the present method is used to generates a Bulk carrier hull form and compared with the existing hull form to prove its applicability for the hull form generation.

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Design and Testing of a Long Stroke Fast Tool Servo for Ultra-precision Free-form Machining (초정밀 자유곡면 가공용 long stroke fast tool servo의 설계 및 특성 평가)

  • Kim, Ho-Sang;Lee, Kwang-Il
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.2
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    • pp.35-44
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    • 2009
  • Long stroke Fast Tool Servo (LFTS) with maximum stroke of $432{\mu}m$ is designed, manufactured and tested for fabrication of optical free-form surfaces. The large amount of stroke in LFTS has been realized by utilizing the hinge and lever mechanisms which enable the displacement amplification ratio of 4.3. In this mechanism the peculiar shape was devised for maximizing the displacement of end tip in LFTS and special mechanical spring has been mounted to provide the sufficient preload to the piezoelectric actuator. Also, its longitudinal motion of tool tip can be measured by capacitive type displacement sensor and closed-loop controlled to overcome the nonlinear hysteresis. In order to verify the static and dynamic characteristics of designed LFTS, several features including step response, frequency response and cut-off frequency in closed-loop mode were experimentally examined. Also, basic machining result shows that the proposed LFTS is capable of generating the optical free-form surface as an additional axis in diamond turning machine.