• Title/Summary/Keyword: Parametric surface

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Slider-Bearing Design with Micro-Machined Wavy-Cavity: Parametric Characterization of Thermohydrodynamic-Operation-Scheme

  • Ozalp B. Turker;Ozalp A. Alper
    • Journal of Mechanical Science and Technology
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    • v.20 no.10
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    • pp.1590-1606
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    • 2006
  • Slider bearings are widely applied in mechanical systems, where the design needs cover increased load capacity, lowered friction and power consumption and creative designs. This work is governed to perform a parametric characterization, by generating a novel structure on the upper slider surface, which can formally be expressed in micro-machined wavy-form, where the individual and combined influences of various structural design parameters and boundary conditions, on the performance records, are also evaluated. Computations put forward that the contribution of the wave amplitude on power loss values is highly dependent on the level of inlet pressure; higher amplitudes are determined to increase power loss in the lowest inlet pressure case of 1.01, whereas the contrary outcome is determined in the higher inlet pressure cases of 3.01 & 5.01. Designing the slider bearing system, based on optimal load capacity, produced the optimum wave number ranges as 10-45, 7-11 and 5-8 for the pad inclinations of $5^{\circ},\;4^{\circ}$ and $3^{\circ}$ respectively.

Free-Form Curve Interpolation Method for Shape Preservation (형태 보존성을 위한 자유 형태 곡선 보간 방법)

  • Lee, A-Ri;Park, Cheol-Ho;Sim, Jae-Hong
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.3
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    • pp.758-765
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    • 1999
  • Shape-preserving property is the important method that controls the complex free form curve/surface. Interpolation method for the existed Shape-Preservation had problems that it has needed the minimization of a curvature-related functions for calculating single-valued data. Solving this problem, in this paper, it proposed to the algorithm of generalizing C piecewise parametric cubic that has shape-preserving property for both Single-value data and Multivalue data. When there are the arbitrary tangents and two data, including shape-preserving property, this proposed method gets piecewise parametric cubic polynomial by checking the relation between the shape-preserving property and then calculates efficiently the control points using that. Also, it controls the initial shape using curvature distribution on curve segments.

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Properties of Hydrologic Cycle in Catchments in Different Land Use and Runoff Analysis by a Lumped Parametric Model

  • Keiji Takase
    • Proceedings of the Korea Water Resources Association Conference
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    • 2000.05a
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    • pp.48-56
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    • 2000
  • In this paper, properties of hydrologic cycle in three experimental catchments were compared and different types of a lumped parametric model were applied to understand the hydrologic cycle in the catchments. One of them is a forest catchment and another one includes the reclaimed upland fields and last one does terraces paddy fields. The comparison of hydrologic properties showed that the differences in land use have great influences on the soil properties of surface layer, which changes in hydrologic processes such as evapotranspiration and storm runoff et. al. By the runoff analysis models, good agreements between observed and calculated discharge from the catchments were obtained and it was found that the differences in values of optimized model parameters and water budget components reflect those in the hydrologic cycle among them.

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ANALYSIS OF NON-INTEGER ORDER THERMOELASTIC TEMPERATURE DISTRIBUTION AND THERMAL DEFLECTION OF THIN HOLLOW CIRCULAR DISK UNDER THE AXI-SYMMETRIC HEAT SUPPLY

  • KHAVALE, SATISH G.;GAIKWAD, KISHOR R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.26 no.1
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    • pp.67-75
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    • 2022
  • Analysis of non-integer order thermoelastic temperature distribution and it's thermal deflection of thin hollow circular disk under the axi-symmetric heat supply is investigated. Initially, the disk is kept at zero temperature. For t > 0 the parametric surfaces are thermally insulated and axi-symmetric heat supply on the thickness of the disk. The governing heat conduction equation has been solved by integral transform technique, including Mittag-Leffler function. The results have been computed numerically and illustrated graphically with the help of PTC-Mathcad.

A NOTE ON SURFACES IN THE NORMAL BUNDLE OF A CURVE

  • Lee, Doohann;Yi, HeungSu
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.2
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    • pp.211-218
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    • 2014
  • In 3-dimensional Euclidean space, the geometric figures of a regular curve are completely determined by the curvature function and the torsion function of the curve, and surfaces are the fundamental curved spaces for pioneering study in modern geometry as well as in classical differential geometry. In this paper, we define parametrizations for surface by using parametric functions whose images are in the normal plane of each point on a given curve, and then obtain some results relating the Gaussian curvature of the surface with curvature and torsion of the given curve. In particular, we find some conditions for the surface to have either nonpositive Gaussian curvature or nonnegative Gaussian curvature.

Measurement Error Modeling for On-Machine Measurement of Sculptured Surfaces

  • Cho, Myeong-Woo;Lee, Se-Hee;Seo, Tae-Il
    • International Journal of Precision Engineering and Manufacturing
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    • v.2 no.2
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    • pp.73-80
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    • 2001
  • The objective of this research is to develop a measurement error model for sculptured surface in On-Machine Measurement(OMM) process based on a closed-loop configuration. The geometric error model of each axis of a vertical CNC machining center is derived using a 4$\times$4 homogeneous transformation matrix. The ideal locations of a touch-type probe for the sculptured surface measurement are calculated from the parametric surface representation and X-, Y- directional geometric errors of the machine. Also the actual coordinates of the probe are calculated by considering the pre-travel variation of a probe and Z-directional geometric errors. Then, the step-by-sep measurement error analysis method is suggested based on a closed-loop configuration of the machining center including workpiece and probe errors. The simulation study shows the simplicity and effectiveness of the proposed error modeling strategy.

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The Shape Optimization of MIL-S-46119 Ring Obturator Under the High Pressure (고압을 받는 MIL-S-46119 원형 밀폐링의 형상 최적화)

  • Chae, Je-Wook;Lee, Young-Shin;Park, Tae-Kyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.1
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    • pp.1-7
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    • 2003
  • The optimal design for the shape of MIL-S-46119 ring obturator under the high pressure using parameter stud:』 on the stress analysis considering effects of design variable is presented, and it is compared to experimental results. The trends of parametric study are in good agreement with the experimental results. The more thickness the higher stress. The more taper the higher stress. And maximum stress of circumferential surface is larger than maximum stress of forward surface. The design variable!; are such as thickness, taper, radius of shape of the obturator. In order to optimize the shape of obturation ring, the weight is maximized subject to maximum stress of the obturator within allowable stress. The design constraints are geometric elements of design variables.

Reverse Engineering for Sculptured Surfaces by Using NURBS Approximation (역공학(Reverse Engineering)을 위한 자유곡면 형상의 NURBS Approximation)

  • Cho, Jae-Hyung;Cho, Myung-Woo
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.8
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    • pp.108-115
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    • 2002
  • In measuring step for reverse engineering of sculptured surfaces, computer vision system is used to simplify the complicated surface by boundary edge detection method that minimizes the measuring error. The measured data by Coordinate measuring machine is clouded data points of surfaces which is segmented surface using image process. In this research, the measured data is approximated as NURBS surfaces by new suggested algorithm. The position and number of control points, selection of parametric values and compensation of weight factors are proposed. Finally, surface model is simulated and improved resulting performance is obtained.

Calculation for the pattern degradation of the parabolic reflector caused by both the surface roughness of the reflector and the structural misalignment (반사판의 표면거칠기와 구조의 오정렬에 의한 파라볼라 반사판 안테나 패턴 일그러짐 계산)

  • 김주완;김병성;남상욱;이충웅
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.1
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    • pp.36-44
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    • 1995
  • For a parabolic reflector antenna, a simple method is presented for computing efficiently the average power pattern degradations caused by the surface roughness of the reflector and misalignments between the reflector and the feed. In this procedure, both nonuniform surface errors and nonuniform illuminations are employed. The assumptions to derive the expressions are that in each annular region of the antenna, the rms value of the surface roughness is known, and in a zone in a annular region, the phase error by misalignments is constant, and can be taken to its value at the center of the zone. Detailed parametric studies are performed with derived expressions to determine the effects of those errors and illumination tapers on parameters such as gain and sidelobe levels.

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INTERPOLATION OF SURFACES WITH GEODESICS

  • Lee, Hyun Chol;Lee, Jae Won;Yoon, Dae Won
    • Journal of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.957-971
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    • 2020
  • In this paper, we introduce a new method to construct a parametric surface in terms of curves and points lying on Euclidean 3-space, called a C0-Hermite surface interpolation. We also prove the existence of a C0-Hermite interpolation of isoparametric surfaces with the so-called marching scale functions, and give some examples. Finally, we construct ruled surfaces and surfaces foliated by a circle as an isoparametric surface.