• Title/Summary/Keyword: Free form curve

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Finite Element Regularization of Progressive Cracks in Concrete (콘크리트 균열진행의 유한요소 정규화)

  • Song, H.W.;Byun, K.J.;Lee, J.Y.;Suh, C.;Shim, B.
    • Proceedings of the Korea Concrete Institute Conference
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    • 1994.10a
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    • pp.279-284
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    • 1994
  • Fracture mechanics does work for concrete, provided that one used a proper, nonlinear form of fracture mechanics in which a finite nonlinear zone at fracture front is being considered. The fracture process zone is a region ahead of a traction-free crack, in which two major mechanisms, microcracking and bridging, play important rules. The toughness due to bridging is dominant compared to the toughness induced by the microcracking, so that the bridging is the dominant mechanism governing the fracture process of concrete. In this paper the bridging zone, which is a part of extended macrocrck with stresses transmitted by aggregates in concrete, is modelled by a Dugdale-Barenblatt type model with lenear tension-softening curve for the analyses of crack growth in concrete Finite element technique is shown for inplementation of the model.

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The Matching of Free-Form surface using Motion-based RMC (이동 기반의 RMC을 이용한 자유형태 곡면 매칭방법)

  • Park, Chul-Ho
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.11
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    • pp.3544-3555
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    • 2000
  • 매칭방법은 기하 및 입체 모델링에서 재단 곡면과 이들에 대한 부울 연산에 사용되는 기초적인 연산이다. 그러나 매칭연산은 부드러움을 정확하게 표현하는데 고 차수의 미분계수 제약조건으로 인하여 많은 계산량이 필요할 뿐만 아니라 곡면상의 여러 점을 동시에 선택하여 이동하였을 때, 곡면표현에 사용되는 복잡한 함수식으로 인하여 일반해를 구하기 어려운 단점을 가진다. 본 논문은 분수식에 의하여 RMC(Rotation-Minimizing Curve)을 정의하고 이를 이용하여 자유 형태 곡면간에 변형 매칭 방법을 제안한다. RMC는 매칭곡선과 곡면의 접선벡터, 회전벡터, 곡률의 변화율과 같은 기하학적 기법을 기반으로 한다. 제안한 방법은 입력으로 주어지는 곡면의 기하학적 복잡도와는 무관하게 매칭을 수행할 수 있으며 수행 성능은 계산된 매칭 곡선의 복잡도에 의해서만 좌우된다. 또한 곡선 표현에 사용된 값들을 정의된 매칭 곡선식에 그대로 적용할 수 있었으므로 최적화 응용 문제에 효율적으로 적용할 수 있다.

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Development of the Real-Time 3D NURBS Interpolator for CNC Machines (CNC 공작기계의 실시간 3차원 NURBS 보간기 개발)

  • 홍원표;양민양
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.05a
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    • pp.1032-1035
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    • 2000
  • Increasing demands on precision machining with computerized numerical control (CNC) machines have necessitated that the tool to move not only position error as small as possible, but also with smoothly varying feedrates in space. This paper presents a new high precision interpolation algorithm for 3-dimensional (3D) Non-Uniform Rational B-Spline (NURBS) curve in the reference-pulse CNC technique. Based on the minimum path error strategy, real-time NURBS interpolator was developed in software and this was implemented with a PC-NC milling machine. The several experimental results have shown that the proposed NURBS interpolator is useful for the high precision machining of complex shapes. It is expected that this algorithm can be applied to the CNC machines for the machining of 3D free-form surfaces.

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Fracture Analysis of Concrete Cylinder by Boundary Element Method (경계요소법에 의한 콘크리트 원통형관의 파괴해석)

  • 송하원;전재홍;변근주
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.171-177
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    • 1995
  • Fracture mechanics does work for concrete, provided that one uses a proper, nonlinear form of fracture mechanics in which a finite nonlinear zone at fracture front is being considered. The fracture process zone is a region ahead of a traction-free crack, and the development of model of fracture process zone is most important to describe fracture phenomena in concrete. This paper is about fracture behavior of concrete cylinder under lateral pressure. Concrete cylinders were made of high strength normal connote, steel fiber reinforced concrete and steel fiber reinforced polymer-impregnated concrete and concrete and the fracture behavior such as cracking propagation and ultimate load are observed. The fracture process zone is modelled by a Dugdale-Barenblatt type model with linear tension-softening curve and are implemented to the boundary element technique for the fracture analyses of the cylinders. The experimental results are compared with analysis results and tension-softening curves for the steel fiber reinforced concrete and steel fiber reinforced polymer-impregnated concrete are obtained by back analyses.

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VISUALIZATION OF 3D DATA PRESERVING CONVEXITY

  • Hussain Malik Zawwar;Hussain Maria
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.397-410
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    • 2007
  • Visualization of 2D and 3D data, which arises from some scientific phenomena, physical model or mathematical formula, in the form of curve or surface view is one of the important topics in Computer Graphics. The problem gets critically important when data possesses some inherent shape feature. For example, it may have positive feature in one instance and monotone in the other. This paper is concerned with the solution of similar problems when data has convex shape and its visualization is required to have similar inherent features to that of data. A rational cubic function [5] has been used for the review of visualization of 2D data. After that it has been generalized for the visualization of 3D data. Moreover, simple sufficient constraints are made on the free parameters in the description of rational bicubic functions to visualize the 3D convex data in the view of convex surfaces.

Studies on Scintillation Proximity Assay for the mesurement of alpha-hCG (Alpha-hCG 측정을 위한 섬광 근접 측정법 (Scintillation Proximity Assay)에 관한 연구)

  • Choi, Tae-Hyun;Lim, Sang-Moo;Choi, Chang-Woon;Chung, Wee-Sup;Lim, Soo-Jeong;Lee, Su-Jin;Lee, Tae-Sup;Awh, Ok-Doo
    • The Korean Journal of Nuclear Medicine
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    • v.36 no.2
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    • pp.133-139
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    • 2002
  • Purpose: Scintillation Proximity Assay (SPA) does not require the physical separation of receptor bound form from free form. SPA was applied to the study of interaction of human chorionic gonadotropin (hCG) and $anti-{\alpha}$ hCG in serum. Materials and methods: $Anti-{\alpha}$ hCG was biotinylated for the binding to streptavidin. The assay was based on the simple competitive binding method between $[^{125}I]hCG$ and the hCG in sample serum, with $anti-{\alpha}$ hCG-coated beads. Aliquots of biotinylated $anti-{\alpha}$ hCG were dispensed into scintillation vials containing $100{\mu}{\ell}\;[^125}I]hCG\;and\;200{\mu}{\ell}$ of either a standard concentration of hCG for preparation of standard curve or unknown sample, and incubated for 20 min. at room temperature. Then $20{\mu}{\ell}$ streptavidin-coated beads were added to vials, and finally incubated for 10 min at room temperature. Values for unknown samples were then calculated from the standard curve. Results: Optimal background counts were certificated using varied radioactivity of radionuclides. Appropriate standard curve was obtained from SPA method successively, and the concentration of hCG from unknown serum was determined by standard curve. The result from SPA assay was similar to that of RIA. Conclusion: This observation confirms that SPA method could be useful for clinical diagnosis.

A Fourier Series Approximation for Deep-water Waves

  • Shin, JangRyong
    • Journal of Ocean Engineering and Technology
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    • v.36 no.2
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    • pp.101-107
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    • 2022
  • Dean (1965) proposed the use of the root mean square error (RMSE) in the dynamic free surface boundary condition (DFSBC) and kinematic free-surface boundary condition (KFSBC) as an error evaluation criterion for wave theories. There are well known wave theories with RMSE more than 1%, such as Airy theory, Stokes theory, Dean's stream function theory, Fenton's theory, and trochodial theory for deep-water waves. However, none of them can be applied for deep-water breaking waves. The purpose of this study is to provide a closed-form solution for deep-water waves with RMSE less than 1% even for breaking waves. This study is based on a previous study (Shin, 2016), and all flow fields were simplified for deep-water waves. For a closed-form solution, all Fourier series coefficients and all related parameters are presented with Newton's polynomials, which were determined by curve fitting data (Shin, 2016). For verification, a wave in Miche's limit was calculated, and, the profiles, velocities, and the accelerations were compared with those of 5th-order Stokes theory. The results give greater velocities and acceleration than 5th-order Stokes theory, and the wavelength depends on the wave height. The results satisfy the Laplace equation, bottom boundary condition (BBC), and KFSBC, while Stokes theory satisfies only the Laplace equation and BBC. RMSE in DFSBC less than 7.25×10-2% was obtained. The series order of the proposed method is three, but the series order of 5th-order Stokes theory is five. Nevertheless, this study provides less RMSE than 5th-order Stokes theory. As a result, the method is suitable for offshore structural design.

A study on the quick graphical method of flood routing (홍수추적 속산도식해법에 대한 소고)

  • 박정근
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.18 no.1
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    • pp.4079-4086
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    • 1976
  • In many reservoir projects, economic considerations will necessitate a design utilizing surcharge. Determination of the most economical combination of surcharge and spillway capacity for a given spillway crest level will require flood routing studies and economic studies of the dam-reservoir-spillway combinations. Many methods of actual flood routing have been devised, each of them with its advantages and disadvantages. Some of these methods are listed below: (1) Arithmetical trial-and-error method. (2) Modified Puls' method (3) Cheng's graphical method (4) Horton's arithmetical method (5) Ekadahl's arithmetical method (6) Digital computer programming. For the purpose of preliminary design and cost estimating of dams and spillways, it is often required to estimate, for a given design flood and spillway crest level. the approximate values of two among the three characteristics of the spillway spillway length, maximum discharge and surcharge depth at maximum discharge, when one of these quantities is given. As is well known, the outflow hydrograph for an ungated overflow spillway assumes the form of a wave-shaped curve with a minimum point for Q=o At zero time and a maximum point for Q=Qmax at its intersection with the falling leg of the inflow hydrograph (see Fig. 4) The shaded area between the inflow and outflow hydrographs represents at the approximate scale the temporary retention Vt. In line with the remarks, draw by free hand the assumed outflow hydrograph with its maximum point for the given Qmax (see Fig. 4) and by planimetration find Vt. From the reservoir capacity curve (Fig. 3) find Vs for the given spillway crest level and make V=Vs+Vt. From the above curve find surcharge water elevation for V and surcharge depth Hmax over spillway crest. From the discharge formula compute {{{{L= { Q} over { { CH}^{3/2 } } }}}} The methed provides a means for a quick and fairly accurate estimation of spillway capacity.

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Cushioning Efficiency Evaluation by using the New Determination of Cushioning Curve in Cushioning Packaging Material Design for Agricultural Products (농산물 포장용 지류완충재의 새로운 완충곡선 구현을 통한 완충성능 평가)

  • Jung, Hyun Mo
    • KOREAN JOURNAL OF PACKAGING SCIENCE & TECHNOLOGY
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    • v.19 no.1
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    • pp.51-56
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    • 2013
  • From the time the product is manufactured until it is carried and ultimately used, the product is subjected to some form of handling and transportations. During this process, the product can be subjected to many potential hazards. One of them is the damage caused by shocks. In order to design a product-package system to protect the product, the peak acceleration or G force to the product that causes damage needs to be determined. When a corrugated fiberboard box loaded with products is dropped onto the ground, part of the energy acquired due to the action of the gravitational acceleration during the free fall is dissipated in the product and the package in various ways. The shock absorbing characteristics of the packaging cushion materials are presented as a family of cushion curves in which curves showing peak accelerations during impacts for a range of static loads are shown for several drop heights. The new method for determining the shock absorbing characteristics of cushioning materials for protective packaging has been described and demonstrated. It has been shown that cushion curves can be produced by combining the static compression and impact characteristics of the material. The dynamic factor was determined by the iterative least mean squares (ILMS) optimization technique in which the discrepancies between peak acceleration data predicted from the theoretical model and obtained from the impact tests are minimized. The approach enabled an efficient determination of cushion curves from a small number of experimental impact data.

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A study of convergence correlation between freeform architecture classification of museum and exhibition space -Focus on the Netherlands, Germany and Singapore- (박물관의 비정형건축형태분류와 전시공간과의 융합상관성 고찰 - 네덜란드, 독일, 싱가포르를 중심으로 -)

  • Oh, Sun Ae
    • Korea Science and Art Forum
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    • v.37 no.4
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    • pp.205-216
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    • 2019
  • Today, there have been more museums with architectural freeform structure. From an academic perspective, that caused a change in the paradigm of the genealogy of architectural forms. Accordingly, it has been required to find whether the freeform architecture influences an exhibition space. Therefore, in order to analyze the correlation between freeform architecture and exhibition space, this study looks into the tendency of actual freeform architecture through case analysis after 2000. An exhibition space of museum serves as a socially, culturally, and locally symbolic icon and has the function of delivering information to viewers through the aesthetic presentation of articles on exhibition. This study is meaningful in the point that it drew the conclusion of the correlation between freeform architecture and exhibition space in order to infer that a freeform exhibition space is more effective at viewers' spatial experience. The method and results of this study are presented as follows: Firstly, literature survey on the concept of the freerform architecture of museum and the classification of architectural forms was conducted and previous studies were analyzed in order to establish criteria. Secondly, a case study was conducted through visits to Singapore, Germany, and the Netherlands in order to look into the current state and characteristics of freeform architecture and exhibition space. In this case, Karel Vollers' architectural freeform criteria were used for analysis. Thirdly, to prove the correlation between freeform architecture and exhibition space, each case was cross-checked on the basis of Karel Vollers' architectural freeform criteria and freeform exhibition classification, and then results were drawn. The study results are presented as follows: Firstly, EX(angle, ortho) of freeform architecture had a significant correlation with the diagonal form of exhibition space. That was proved 92.3% accurately more in the Netherlands and Germany than in Singapore. However, the curve form of exhibition space had a unclear correlation. In Singapore case, the curve form correlation was made through RO, FR, and TW. Secondly, freeform architecture had complex-typed combination with the diagonal and curve forms of exhibition space. In particular, N-02 and G-02 had a combination form, basically EX, and partially various forms so as to induce the complexity of free form. As such, architectural freeform makes it possible to achieve infinite transformation in various combinations. For responses, combinational approaches are required in multilateral ways. Based on this study, it will be planned to analyze the correlation between freeform architecture of museum and exhibition presentation.