• Title/Summary/Keyword: Curve shape

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Parametric NURBS Curve Interpolators: A Review

  • Mohan, Sekar;Kweon, Sung-Hwan;Lee, Dong-Mok;Yang, Seung-Han
    • International Journal of Precision Engineering and Manufacturing
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    • v.9 no.2
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    • pp.84-92
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    • 2008
  • Free-form shapes which were once considered as an aesthetic feature are now an important functional requirement. CNC industries are looking for a compact solution for reproducing free-form shapes as conventional interpolation models are inadequate, The parametric curve interpolator developed in the last decade has clearly emerged as favorite among its contemporaries in recent years, At present intense research has been done on parametric curve interpolators and interesting developments are reported. Out of the various parametric representations for curves and surfaces, NURBS has been standardized and widely used in free-form shape design. This paper presents a review of various methods of parametric interpolation for NURBS and discusses the salient features, problems and solutions. Recent approaches on variable feedrate interpolation, parameter compensation are also reviewed and research trends are addressed finally.

A Boundary Curve Extraction Method using Triangular Elements of a Lightweight Model (경량 모델의 삼각 요소망으로부터 경계 곡선 추출 방법)

  • Kwon, Ki-Youn
    • Korean Journal of Computational Design and Engineering
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    • v.22 no.1
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    • pp.28-36
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    • 2017
  • Sharing of CAD data plays a key role in the PLM and a lightweight model is widely used for visualizing and sharing a large data. The lightweight model is mainly composed of triangular elements to minimize file size. There is no problem at all to visually confirm the shape based on these triangular elements but there is a limit to numerically calculate the exact position on the curve or surface. In this paper, a boundary curve generation method using triangular elements is proposed to increase the utilization of lightweight models. After matching connectivity of triangular elements, boundary element edges are extracted. Boundary curves are generated by connecting of these boundary element edges. This proposed method has been tested on several models to demonstrate the feasibility.

Numerical simulation of propeller exciting force induced by milling-shape ice

  • Wang, C.;Li, X.;Chang, X.;Xiong, W.P.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.11 no.1
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    • pp.294-306
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    • 2019
  • On the basis of the Computational Fluid Dynamics technique (CFD) combined with the overlap grid method, this paper establishes a numerical simulation method to study the problem of ice-propeller interaction in viscous flow and carries out a simulation forecast of the hydrodynamic performance of an ice-class propeller and flow characteristics when in the proximity of milling-shape ice (i.e., an ice block with a groove cut by a high-speed revolving propeller). We use a trimmed mesh in the entire calculation domain and use the overlap grid method to transfer information between the domains of propeller rotation calculation and ice-surface computing. The grid is refined in the narrow gap between the ice and propeller to ensure the accuracy of the flow field. Comparison with the results of the experiment reveals that the error of the hydrodynamic performance is within 5%. This confirms the feasibility of the calculation method. In this paper, we calculate the exciting force of the propeller, analyze the time domain of the exciting force, and obtain the curve of the frequency domain using a Fourier transform of the time-domain curve of the exciting force. The existence of milling-shape ice before the propeller can greatly disturb the wake flow field. Unlike in open water, the propeller bearing capacity shows a downward trend in three stages, and fluctuating pressure is more disordered near the ice.

Shape Optimal Design of Anti-vibration Rubber Assembly in Tractor Cabin Using Taguchi Method (다구찌법을 이용한 트랙터 캐빈 방진고무의 형상최적설계)

  • Seo, Ji-Hwan;Lee, Boo-Yoon;Lee, Sanghoon
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.18 no.4
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    • pp.34-40
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    • 2019
  • We performed shape optimization of an anti-vibration rubber assembly which is used in the field option cabin of agricultural tractors to improve the vibration isolation capability. To characterize the hyper-elastic material property of rubber, we performed uniaxial and biaxial tension tests and used the data to calibrate the material model applied in the finite element analyses. We conducted a field test to characterize the input excitation from the tractor and the output response at the cabin frame. To account for the nonlinear behavior of rubber, we performed static analyses to derive the load-displacement curve of the anti-vibration rubber assembly. The stiffness of the rubber assembly could be calculated from this curve and was input to the harmonic analyses of the cabin. We compared the results with the test data for verification. We utilized Taguchi's parameter design method to determine the optimal shape of the anti-vibration rubber assembly and found two distinct shapes with reduced stiffness. Results show that the vibration at the cabin frame was reduced by approximately 35% or 47.6% compared with the initial design using the two optimized models.

Microfracture Mechanism and Fracture Properties of Ni-Mn-Ga-Fe Ferromagnetic Shape Memory Alloys (Ni-Mn-Ga-Fe 강자성 형상기억합금의 미세파괴기구 및 파괴성질)

  • Euh, Kwangjun;Lee, Jung-Moo;Nam, Duk-Hyun;Lee, Sunghak
    • Korean Journal of Metals and Materials
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    • v.47 no.12
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    • pp.787-796
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    • 2009
  • The fracture toughness improvement of Ni-Mn-Ga-Fe ferromagnetic shape memory alloys containing ductile particles was explained by direct observation of microfracture processes using an in situ loading stage installed inside a scanning electron microscope (SEM) chamber. The Ni-Mn-Ga-Fe alloys contained a considerable amount of ductile particles in the grains after the homogenization treatment at $800{\sim}1100^{\circ}C$. ${\gamma}$ particles were coarsened and distributed homogeneously along {$\beta}$ grain boundaries as well as inside {$\beta}$ grains as the homogenization temperature increased. The in situ microfracture observation results indicated that ${\gamma}$ particles effectively acted as blocking sites of crack propagation, and provided stable crack growth that could be confirmed by the R-curve analysis. This increase in fracture resistance with increasing crack length improved overall fracture properties of the alloys containing ${\gamma}$ particles.

THE FAR FIELD BEHAVIOR OF A SINGLE LAYER POTENTIAL WITH LINEAR STRENGTH DISTRIBUTION ON A LINE SEGMENT

  • Kim, Do-Wan
    • Journal of applied mathematics & informatics
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    • v.3 no.2
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    • pp.265-278
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    • 1996
  • This paper is composed of the complete representation of two dimensional single layer potentials with linear strength on a straight line segment and its far field behavior which is closely related to the pose of this line segment. The far field behavior of a single layer potential on a given curve has informations of the shape of the curve.

Topological Analysis of Large Scale Structure Using the Final BOSS Sample

  • Choe, Yun-Yeong;Kim, Ju-Han
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.2
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    • pp.43.2-43.2
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    • 2014
  • We present the three-dimensional genus topology of large-scale structure using the CMASS sample of the Final SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS) data. To estimate the uncertainties in the measured genus, we very carefully construct mock CMASS surveys along the past light cone from the Horizon Run 3. We find that the shape of the observed genus curve agrees very well with the prediction of perturbation theory and with the mean topology of the mock surveys. However, comparison with simulations show that the observed genus curve slightly deviates from the theoretical Gaussian expectation. From the deviation, we further quantify the primordial non-Gaussian contribution.

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A Design Optimization Study of Blunt Nose Hypersonic Flight Vehicle Using Surface Heat-transfer and Drag Minimization (표면열전달과 항력을 고려한 극초음속 비행체 선두부 최적형상설계)

  • Lim S.;Seo J. I.;Song D. J.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.10a
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    • pp.197-201
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    • 2004
  • A design optimization of Sphere-Cone blunt nose hypersonic flight vehicle has been studied by using upwind Navier-Stokes method and numerical optimization method. Heat transfer coefficient and drag coefficient are selected as objective function or design constraint. Control points of Bezier curve are considered as design variable.

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Goodness-of-fit Test for the Weibull Distribution Based on Multiply Type-II Censored Samples

  • Kang, Suk-Bok;Han, Jun-Tae
    • Communications for Statistical Applications and Methods
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    • v.16 no.2
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    • pp.349-361
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    • 2009
  • In this paper, we derive the approximate maximum likelihood estimators of the shape parameter and the scale parameter in a Weibull distribution under multiply Type-II censoring by the approximate maximum likelihood estimation method. We develop three modified empirical distribution function type tests for the Weibull distribution based on multiply Type-II censored samples. We also propose modified normalized sample Lorenz curve plot and new test statistic.