• 제목/요약/키워드: curvature equation

검색결과 263건 처리시간 0.029초

지진하중을 받는 철근콘크리트 교각의 연성도 상관관계 (Ductility Relationship of RC Bridge Columns under Seismic Loading)

  • 손혁수;이재훈
    • 한국지진공학회논문집
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    • 제7권4호
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    • pp.51-61
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    • 2003
  • 본 연구는 철근콘크리트 교각에 대한 새로운 내진설계법을 개발하기 위한 연구의 일환으로서, 축력과 함께 반복 횡하증을 받는 철근콘크리트 교각의 곡률연성도와 변위연성도의 상관관계를 분석하고 연성도 상관관계식을 제시함을 목적으로 한다. 이를 위하여, 반복하중을 받는 철근콘크리트 기둥의 횡하중-변위 포락곡선 실험결과를 비교적 정확하게 예측하며, 특히 변형능력 및 연성도에 대하여는 실험결과에 비하여 안전측의 결과를 제공하는 비선형해석 프로그램(NARCC)를 이용하였다. 해석의 대상 교각으로는, 단면지름, 형상비, 콘크리트 강도, 축방향철근 항복강도, 심부구속철근 항복강도, 축방향철근비, 축력비, 심부구속철근비 등을 주요변수로 하여, 총 7,200개의 철근콘크리트 나선철근 기둥 모델을 채택하였으며, 세 가지 항복변위의 기준을 적용하여 총 21,600개의 해석결과자료를 대상으로 상관관계를 분석하여 형상비를 주요변수로 한 곡률연성도와 변위연성도의 상관관계식을 제안하였다.

인체의 복곡면과 직물 변형 특성을 이용한 의복압 예측법의 개선 (Prediction of the Clothing Pressure Using the Radii of Double Curvature and Transformation of a Fabric)

  • 이예진;홍경희
    • 한국의류학회지
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    • 제29권8호
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    • pp.1168-1175
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    • 2005
  • Clothing pressure has close relation with clothing comfort and depends on the pattern and properties of textile fabrics. Choosing a suitable clothing pressure is an essential factor for designing functional clothing such as the foundation for reshaping of a body contour or medical items for bum patient, and etc. However, it is hard to measure pressure values at the curved surface of a human body correctly. Recently, an air pack type pressure sensor, which has relatively excellent performance has been used to measure clothing pressure, however, it is still inconvenient to apply because it is a contact- type sensor. Therefore, in this paper, we suggest an indirect method that can measure clothing pressure without touching the subject by improving the equation of Kirk and Ibrahim (1966). However, confusions have been occurred when someone use the equation since the definition of parameters are somewhat vague. Furthermore, the estimated clothing pressure obtained by the previous method are quite different from the real values because this method does not consider the 3D effect of a human body and property changes of a transformed fabric. In this paper, the direction of principal stress and the radius of curvature in the principal direction were searched in the 3D image of the deformed girdle to get more accurate clothing pressure. The estimated clothing pressure was verified by comparing the result of the air pack type pressure sensor. It was found that the accuracy of the pressure estimation was improved by considering the 3D curvature of human body and the directional characteristics of textile fabrics.

반도체 실리콘재료의 정밀연삭을 위한 공정변수와 연삭후 표면에 형성된 wheel pattern과의 관계 (Surface Wheel Pattern Analysis and Grinding Process Parameters of Silicon)

  • 오한석;박성은;이홍림
    • 한국정밀공학회지
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    • 제19권2호
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    • pp.187-194
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    • 2002
  • For the fine grinding process development of semiconductor monocrystalline silicon, wheel rotational speed, chuck rotational speed, feed rate and hysteresis force were controlled. Magic mirror system was used for grinding wheel pattern analysis. Curvature of wheel pattern was measured by fitting equation. The modeling of surface wheel pattern was related to wheel and chuck rotational speed. The calculated curvature of the model was well matched with the measured curvature. The statistical analysis indicated wheel and chuck rotational speed were significantly effective on.

S-SHAPED CONNECTED COMPONENT FOR A NONLINEAR DIRICHLET PROBLEM INVOLVING MEAN CURVATURE OPERATOR IN ONE-DIMENSION MINKOWSKI SPACE

  • Ma, Ruyun;Xu, Man
    • 대한수학회보
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    • 제55권6호
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    • pp.1891-1908
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    • 2018
  • In this paper, we investigate the existence of an S-shaped connected component in the set of positive solutions of the Dirichlet problem of the one-dimension Minkowski-curvature equation $$\{\(\frac{u^{\prime}}{\sqrt{1-u^{{\prime}2}}}\)^{\prime}+{\lambda}a(x)f(u)=0,\;x{\in}(0,1),\\u(0)=u(1)=0$$, where ${\lambda}$ is a positive parameter, $f{\in}C[0,{\infty})$, $a{\in}C[0,1]$. The proofs of main results are based upon the bifurcation techniques.

CLASSIFICATIONS OF ROTATION SURFACES IN PSEUDO-EUCLIDEAN SPACE

  • Kim, Young-Ho;Yoon, Dae-Won
    • 대한수학회지
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    • 제41권2호
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    • pp.379-396
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    • 2004
  • In this article, we study rotation surfaces in the 4-dimensional pseudo-Euclidean space E$_2$$^4$. Also, we obtain the complete classification theorems for the flat rotation surfaces with finite type Gauss map, pointwise 1-type Gauss map and an equation in terms of the mean curvature vector. In fact, we characterize the flat rotation surfaces of finite type immersion with the Gauss map and the mean curvature vector field, namely the Gauss map of finite type, pointwise 1-type Gauss map and some algebraic equations in terms of the Gauss map and the mean curvature vector field related to the Laplacian of the surfaces with respect to the induced metric.

수정된 Extendel $k-\varepsilon$ 난류모델을 사용한 $90^{\circ}$곡관 내의 난류유동에 관한 수치해석적 연구 (Numerical Computations of Turbulent Flow in a $90^{\circ}$ Curved Duct Using a Modified Extended $k-\varepsilon$ Turbulence Model)

  • 정수진;김태훈;조진호
    • 한국자동차공학회논문집
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    • 제4권3호
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    • pp.139-146
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    • 1996
  • An extended $k-\varepsilon$ tuebulence model modified by considering the streamline curvature effect and standard $k-\varepsilon$ turbulence model have been applied for three dimensional analysis of turbulece flow in a $90^{\circ}$ curved duct. By comparision of the results with the experimental data, the modified extended $k-\varepsilon$ model gave closer agreement with experimental data than the results from standard $k-\varepsilon$ model owing to an extra time scale of the production rate and parameter describing effects of streamline curvature included in the dissipation rate equation.

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후판 압연중 발생하는 판의 하향벤딩시 선단부 판 형상의 고찰 및 곡률예측 (Strip Shape Analysis and Curvature Prediction of Front End Downward Bending in Plate Rolling by Finite Element Method)

  • 이중형;황상무
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1997년도 추계학술대회논문집
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    • pp.110-114
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    • 1997
  • The major object in this report is the curvature prediction of front end downward bending in plate rolling. Because of relations front end shape and curvature in plate, many simulations were carried out to obtain empirical model. Simulation conditions, for example the position and the size of bottom stripper or roller table etc., were limited to the POSCO conditions. Though the result in this report can be applied to the special case, the tendency of this result is similar to the many cases. So the empirical model equation can be improved or expanded to many simulation conditions.

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반복하중을 받는 철근콘크리트 기둥의 비선형 거동 (Nonlinear Behavior of RC Columns Subjected to Cyclic Loadings)

  • 곽효경;김선필
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.475-482
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    • 2002
  • A moment-curvature relationship to simulate the behavior of reinforced concrete (RC) columns under cyclic loading is introduced. Unlike previous moment4curvature models and the layered section approach, the proposed model takes into account the bond-slip effect by using a monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The pinching effect caused by axial force is considered with an assumption that the absorbing energy corresponding to any deformation level maintains constant regardless of the magnitude of applied axial lone. The advantages of the proposed model, comparing to layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures. Finally, correlation studies between analytical result and experimental studies are conducted to establish the validity of the proposed model.

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Vortex Filament Equation and Non-linear Schrödinger Equation in S3

  • Zhang, Hongning;Wu, Faen
    • Kyungpook Mathematical Journal
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    • 제47권3호
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    • pp.381-392
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    • 2007
  • In 1906, da Rios, a student of Leivi-Civita, wrote a master's thesis modeling the motion of a vortex in a viscous fluid by the motion of a curve propagating in $R^3$, in the direction of its binormal with a speed equal to its curvature. Much later, in 1971 Hasimoto showed the equivalence of this system with the non-linear Schr$\ddot{o}$dinger equation (NLS) $$q_t=i(q_{ss}+\frac{1}{2}{\mid}q{\mid}^2q$$. In this paper, we use the same idea as Terng used in her lecture notes but different technique to extend the above relation to the case of $R^3$, and obtained an analogous equation that $$q_t=i[q_{ss}+(\frac{1}{2}{\mid}q{\mid}^2+1)q]$$.

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정시안의 연령별 각막전면곡률 변화와 분포에 관한 연구 (Study on Distribution and Change of Curvature of the Anterior Corneal Surface with each Age in Emmetropia)

  • 김찬수;성아영
    • 한국안광학회지
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    • 제9권2호
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    • pp.211-221
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    • 2004
  • 이 논문의 목적은 정시안에 있어서 연령별 각막전면곡률반경의 변화와 분포를 파악하는데 있다. 나안시력이 0.6-1.0 이상을 보이고, 굴절이상도가 등가구면 굴절력 ${\pm}0.75$ Diopter 이하면 3-83세 사이 504명의 정시안을 대상으로 Keratometer를 아용하여 연령에 따른 각막전면곡률반경의 분포변화를 분석하였다. 그 결과는 다음과 같다. 먼저, 각 개인별 분포 변화를 분석한 결과, 첫째, 연령에 따라 선형상관관계식 Y = 0.003x + 7.796(r = -0.26)이 얻어졌고, 평균나이 38.3세에 평균 곡률반경은 $7.68{\pm}0.25mm$이었으며, 전체 대상의 분포 범위는 최소 6.98 mm에서 최대 8.54 mm의 결과를 보였다. 둘째, 각막전면곡률반경의 빈도는 7.61 - 7.80 mm가 36%, 7.41 - 8.00 mm가 78%, 7.21 - 8.20 mm가 96%로 나타났다. 셋째, 남 여 성별에 따른 비교에서 남자 (n = 304, 평균 37.6세, $7.72{\pm}0.24mm$, 범위 7.09 - 8.54 mm)는 여자 (n = 200, 평균 39.3세, $7.62{\pm}0.24mm$, 범위: 6.98 - 8.41 mm) 보다 평균 0.1mm 만큼 크게 나타났다. 또한, 그룹별 평균값의 변화 분석 결과를 정리하면, 첫째, 연령에 따른 관계식은 $Y=-0.0066x^2+0.0227x+7.7282$, 선형 상판계수는 r = -0.90로 나타나 개인별 분석에서의 r = -0.26 보다 큰 수치를 보였다. 둘째, 수직곡률반경과 수평곡률반경은 연령에 따라 모두 감소하였으며, 특히, 수직보다는 수평 곡률반경의 감소가 두드러지게 나타났다(p < 0.01). 셋째, 강주경선과 약주경선의 차이는 저연령군 0.18 mm에서 고연령군 0.08 mm로 나타나 연령이 증가할수록 차이가 좁아지는 양상을 보였다. 넷째, 남 여의 비교에서 남자가 여자보다 8개 군 모두에서 크게 나타나 통계적으로 유의한 차이를 보였다 (p < 0.01). 결론적으로 같은 연령내에서도 개인별 차이가 크지만 연령그룹별 평균값의 변화는 연령 증가에 따라 강주경선, 약주경선 및 그 평균값, 수직곡률, 수평곡률 그리고 남자, 여자 모두에게서 각막전면곡률반경이 감소하는 양상을 보였고, 수직곡률보다 수평곡률의 감소 양상이 두드러지게 나타났음을 발견하였다.

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