• 제목/요약/키워드: curvature distribution

검색결과 306건 처리시간 0.027초

ON HORIZONTAL LIGHTLIKE HYPERSURFACES OF ROBERTSON-WALKER SPACETIMES

  • Liu, Ximin;Pan, Quanxiang
    • 대한수학회논문집
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    • 제30권2호
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    • pp.109-121
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    • 2015
  • In this paper, we investigate horizontal lightlike hypersurfaces of Robertson-Walker spacetimes. Some results involving the unique existence of the screen distribution and the symmetry of the induced Ricci curvature tensor of horizontal lightlike hypersurfaces are presented. We also obtain some properties concerning the symmetry and the parallelism of the second fundamental forms of such lightlike hypersurfaces.

Second Order Parallel Tensor on Almost Kenmotsu Manifolds

  • Venkatesha, Venkatesha;Naik, Devaraja Mallesha;Vanli, Aysel-Turgut
    • Kyungpook Mathematical Journal
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    • 제61권1호
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    • pp.191-203
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    • 2021
  • Let M be an almost Kenmotsu manifold of dimension 2n + 1 having non-vanishing ��-sectional curvature such that trℓ > -2n - 2. We prove that any second order parallel tensor on M is a constant multiple of the associated metric tensor and obtained some consequences of this. Vector fields keeping curvature tensor invariant are characterized on M.

Estimation of spatial distribution of precipitation by using of dual polarization weather radar data

  • Oliaye, Alireza;Bae, Deg-Hyo
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2021년도 학술발표회
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    • pp.132-132
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    • 2021
  • Access to accurate spatial precipitation in many hydrological studies is necessary. Existence of many mountains with diverse topography in South Korea causes different spatial distribution of precipitation. Rain gauge stations show accurate precipitation information in points, but due to the limited use of rain gauge stations and the difficulty of accessing them, there is not enough accurate information in the whole area. Weather radars can provide an integrated precipitation information spatially. Despite this, weather radar data have some errors that can not provide accurate data, especially in heavy rainfall. In this study, some location-based variable like aspect, elevation, plan curvature, profile curvature, slope and distance from the sea which has most effect on rainfall was considered. Then Automatic Weather Station data was used for spatial training of variables in each event. According to this, K-fold cross-validation method was combined with Adaptive Neuro-Fuzzy Inference System. Based on this, 80% of Automatic Weather Station data was used for training and validation of model and 20% was used for testing and evaluation of model. Finally, spatial distribution of precipitation for 1×1 km resolution in Gwangdeoksan radar station was estimates. The results showed a significant decrease in RMSE and an increase in correlation with the observed amount of precipitation.

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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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곡선 강상자형교의 윤하중 분배 (Distribution of Wheel Loads on Curved Steel Box Girder Bridges)

  • 김희중;이시영
    • 한국방재학회 논문집
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    • 제8권1호
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    • pp.9-14
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    • 2008
  • 곡선교의 경우 구조적인 기능이나 미관을 고려하여 강상자형교의 사용이 증가하고 있다. 강상자형교는 비틀림에 대한 강성이 뛰어나고 폐합단면을 가지므로 개단면에 비해 부식에 대해서 유리하며 가설 시에도 안정성을 갖는 장점이 있다. 곡선 강상자형교의 설계는 관용적으로 가로보의 강성을 이용하여 윤하중 횡분배를 유도하는 격자해석으로 실시되고 있다. 본 연구에서는 곡선강상자형교에 대하여 유한요소 해석을 실시하여 곡률, 가로보 및 다이아프램이 윤하중의 횡분배에 미치는 영향에 분석하였다. 해석결과 곡선교에서 곡률은 횡분배에 큰 영향을 미쳤으며 곡률이 증가할수록 분배계수가 증가하는 것을 알 수 있었다. 지점부 다이아프램 외에 지간 중앙에 설치되는 다이아프램 1개는 윤하중의 횡분배와 구조적 안정성에 크게 기여하였으나 추가적인 다이아프램의 설치는 하중의 횡분배에 크게 영향을 주지 못하였다. 콘크리트 슬래브 강성은 가로보에 의한 횡분배 효과보다 크게 나타난 것으로 곡선 강박스교 설계 시에는 콘크리트 슬래브 강성의 횡분배 효과를 고려하여야 할 것이다.

다양한 곡률을 가진 공기 동압 베어링의 축방향 부하특성 해석 (Analysis of Axial Load Characteristics of Air-Dynamic Bearings of Various Curvatures)

  • 최우천;신용호;최정환
    • 한국정밀공학회지
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    • 제17권3호
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    • pp.129-135
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    • 2000
  • Air-dynamic bearings are increasingly used in supporting small high-speed rotating bodies. This study investigates the effects of design parameters on the axial stiffness of spiral-grooved air bearings of various curvatures. Design parameters are fundamental clearance, groove depth, and bearing number. The pressure distribution at the clearance between the stator and rotor of the bearing is obtained by solving the Reynolds equation, and the supporting load and the axial linear stiffness are calculated from the pressure distribution. It is found that a larger curvature increases the axial linear stiffness more and that there exist an optimal groove depth for the linear stiffness of the air bearing. It is also found that the linear stiffness has a linear relationship with the bearing number.

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분무유동에서 입경 계측기법의 개발 (Development of Droplet Sizing Technique in Spay Flow)

  • 양창조
    • Journal of Advanced Marine Engineering and Technology
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    • 제31권1호
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    • pp.67-73
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    • 2007
  • Recently, fire extinguishing systems based on water mists have been attracting public attentions in marine engineering. Performance of fire extinguishing systems is very strongly influenced by the size and distribution of spayed water mists. Therefore, the present study has developed droplet analyzing method based on image processing. The morphological technique based on partial curvature information of pre-processed images with relaxation method was adopted for recognition and separation of overlapped particles. Tested results showed that the present method may be reliable for the analysis of the size and distribution of droplets in spray flow of fire extinguishing systems based water mists.

자속밀도 가중치에 의한 자유곡면 자기연마 공구곡률 선정 (Determination of Curvature Radius of Magnetic Tool Using Weighted Magnetic Flux Density in Magnetic Abrasive Polishing)

  • 손출배;유만희;곽재섭
    • 한국기계가공학회지
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    • 제12권3호
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    • pp.69-75
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    • 2013
  • During the magnetic abrasive polishing of a curved surface, the improvement in surface roughness varies with the maximum value and distribution of magnetic flux density. Thus, in this study, the magnetic flux density on the curved surface was simulated according to curvature radii of magnetic tool. As a result of the simulation, the 14.5mm of the magnetic tool had a higher maximum magnetic flux density and it showed a large weighted magnetic flux density. The weighted magnetic flux density means the highest value for the magnetic flux density in the curvature of the magnetic tool. From the experimental verification, the better improvement in surface roughness was observed on wider area at the 14.5mm radius of the magnetic tool than other radii.

Moment curvature method for fire safety design of steel beams

  • Yu, H.X.;Richard Liew, J.Y.
    • Steel and Composite Structures
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    • 제4권3호
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    • pp.227-246
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    • 2004
  • This paper presents a moment-curvature method that accounts for the strength deterioration of steel at elevated temperature in estimating the response of steel beams exposed to fire. A modification to the EC4 method is proposed for a better estimation of the temperature distribution in the steel beam supporting a concrete slab. The accuracy of the proposed method is verified by comparing the results with established test results and the nonlinear finite element analysis results. The beam failure criterion based on a maximum strain of 0.02 is proposed to assess the limiting temperature as compared to the traditional criteria that rely on deflection limit or deflection rate. Extensive studies carried out on steel beams with various span lengths, load ratios, beam sizes and loading types show that the proposed failure criterion gives consistent results when compared to nonlinear finite element results.