• Title/Summary/Keyword: 방향성 함수

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Vibration Analysis of Mindlin Plates Using Polynomials Having the Property of Timoshenko Beam Functions (Timoshenko보함수 성질을 갖는 다항식을 이용한 Mindlin판유추 구조계의 진동해석)

  • J.H. Chung;T.Y. Chung;K.C. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.1
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    • pp.158-172
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    • 1992
  • In ships and offshore structures, there are many local structures formed of thick plates and/or having the form of double wall panels. For the vibration analysis of such a kind of structures, Mindlin plate theory which includes the effects of shear deformation and rotary inertia is usually adopted. In this paper, the vibration and dynamic sensitivity analysis of Mindlin plates having the boundary conditions elastically restrained against rotation have been accomplished using the Rayleigh-Ritz method. Polynomials having the property of the Timoshenko beam functions are introduced and used as trial functions in the spatial representation of the deflection and rotations of cross sections in two directions of the plates. The results obtained by the introduced polynomials gave nearly the same numerical results as those by the Timoshenko beam functions with the remarkable reduction of computational efforts especially in the dynamic sensitivity analysis.

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Directional Asymmetry Parameter and Maximum Spreading Parameter of Random Waves Incident on a Planar Slope (경사면을 입사하는 불규칙파랑의 방향 비대칭 매개변수 및 최대 방향분포 매개변수)

  • Jung, Jae-Sang;Lee, Changhoon;Cho, Yong-Sik
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.25 no.1
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    • pp.28-33
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    • 2013
  • Multidirectional random waves that obliquely approach the shore were found to become directionally asymmetric due to refraction. The directional asymmetry was expressed in terms of the asymmetry parameter which is related to the maximum spreading parameter ($s_{max}$). In this study, we calculate variation of both the asymmetry and maximum spreading parameters at different water depths for various cases of incident wave angles and maximum spreading parameters in deep water. These values are different from Goda and Suzuki (1975) who neglected directional asymmetry of waves. In calculating directional asymmetry and maximum spreading parameters, we use the JONSWAP spectrum (Hasselmann et al., 1973) and Lee et al.'s (2010) directional distribution function. The processes and results are nondimensionalized with significant wave height, peak frequency and peak wave length in deep water.

A Study of Two Pre service Teachers' Development of Covariational Reasoning (모의실험을 통한 두 예비교사의 공변추론 이해에 관한 연구)

  • Shin, Jae-Hong;Lee, Joong-Kweon
    • Journal of the Korean School Mathematics Society
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    • v.12 no.4
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    • pp.453-472
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    • 2009
  • This article describes the interview data with two preservice teachers where they dealt with five water-filling problems for the investigation of their covariational thinking. The study's results revealed that two students developed their covariation levels from Direction level to Instantaneous Rate with an aid of the pre-constructed GSP simulations for the problem situations. However, this study also points out that there is a missing important feature for a function notion, 'causality' in the covariation framework and suggests that future research should combine students' conception of causality with their covariational thinking for the investigation of their development of a function concept.

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Investigation of depending on ion drift velocity for board surface ion angular distribution function in $Cl_2$ discharge ($Cl_2$ 방전에서의 기판 표면 이온 각 분포 함수의 유동속도 의존성 조사)

  • Yu, Dong-Hun;Kwon, D.C.;Lee, J.K.;Yoon, N.S.;Kim, J.H.;Shin, Y.H.
    • Proceedings of the KIEE Conference
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    • 2004.07c
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    • pp.1927-1929
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    • 2004
  • 현재 널리 쓰이는 고밀도 플라즈마 장치의 식각 시뮬레이션은 식각 패턴으로는 level set method이며 바이어스가 인가된 sheath model로는 Riley sheath model 이 보편적으로 받아들여지고 있다. 이러한 식각 시뮬레이션은 RF(Radio Frequency) sheath로부터 가속된 이온이 단위 입체각당 특정 지점에 이온 플럭스 분포함수, 이온 에너지 분포함수와, 중성종의 수송모델로 etch rate을 결정하는 과정과 level set method을 이용하여 식각 형태를 계산하는 과정으로 구성되어있다. 본 연구는 식각 형태 계산 이전의 단계로서 $Ar^+,\;Cl_2{^+},\;Cl^+$이온의 유동속도와 밀도를 장치의 radial방향으로 불균일하게 가정하였고, 가정한 값으로 이온 플럭스와 에너지 플럭스에 대한 영향을 알아보았다.

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Mesh Simplification for Preservation of Characteristic Features using Surface Orientation (표면의 방향정보를 고려한 메쉬의 특성정보의 보존)

  • 고명철;최윤철
    • Journal of Korea Multimedia Society
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    • v.5 no.4
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    • pp.458-467
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    • 2002
  • There has been proposed many simplification algorithms for effectively decreasing large-volumed polygonal surface data. These algorithms apply their own cost function for collapse to one of fundamental simplification unit, such as vertex, edge and triangle, and minimize the simplification error occurred in each simplification steps. Most of cost functions adopted in existing works use the error estimation method based on distance optimization. Unfortunately, it is hard to define the local characteristics of surface data using distance factor alone, which is basically scalar component. Therefore, the algorithms cannot preserve the characteristic features in surface areas with high curvature and, consequently, loss the detailed shape of original mesh in high simplification ratio. In this paper, we consider the vector component, such as surface orientation, as one of factors for cost function. The surface orientation is independent upon scalar component, distance value. This means that we can reconsider whether or not to preserve them as the amount of vector component, although they are elements with low scalar values. In addition, we develop a simplification algorithm based on half-edge collapse manner, which use the proposed cost function as the criterion for removing elements. In half-edge collapse, using one of endpoints in the edge represents a new vertex after collapse operation. The approach is memory efficient and effectively applicable to the rendering system requiring real-time transmission of large-volumed surface data.

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Quantification of Heterogenous Background Fractures in Bedrocks of Gyeongju LILW Disposal Site (경주 방폐장의 불균질 배경 단열의 정량화)

  • Cho, Hyunjin;Cheong, Jae-Yeol;Lim, Doo-hyun;Hamm, Se-Yeong
    • The Journal of Engineering Geology
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    • v.27 no.4
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    • pp.463-474
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    • 2017
  • Heterogeneous background fractures of granite and sedimentary rocks in Gyeongju LILW (low-intermediate level radioactive waste) facility area have been characterized quantitatively by analyzing fracture parameters (orientation, intensity, and size). Surface geological survey, electrical resistivity survey, and acoustic televiewer log data were used to characterize the heterogeneity of background fractures. Bootstrap method was applied to represent spatial anisotropy of variably oriented background fractures in the study area. As a result, the fracture intensity was correlated to the inverse distance from the faults weighted by nearest fault size and the mean value of electrical resistivity and the average volumetric fracture intensity ($P_{32}$) was estimated as $3.1m^2/m^3$. Size (or equivalent radius) of the background fractures ranged from 1.5 m to 86 m and followed to power-law distribution based on the fractal property of fracture size, using fractures measured on underground silos and identified surface faults.

Three Dimensional Dynamic Interaction Analysis of Actively Controlled High Speed Maglev-Guideway Structure (초고속 자기부상열차의 열차-가이드웨이 3차원 상호작용 해석)

  • Min, Dong-Ju;Jung, Myung-Rag;Kim, Hae-Ne-Rae;Kim, Moon-Young
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.727-730
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    • 2011
  • 본 논문에서는 3차원 자기부상열차에 대한 열차-가이드웨이 상호작용 해석기법을 제시하고자 한다. 수직 및 수평방향 변위, 피칭, 롤링 그리고 요잉에 대한 자유도를 각 보기와 차체에 대해 고려하여 총 25자 유도 자기부상열차에 대한 운동방정식을 유도하였다. 제어방식으로는 UTM01에 적용된 제어기법을 이용하였고, 궤도 틀림을 고려하기 위하여 미국 FRA에 적용하고 있는 궤도 불규칙성에 대한 밀도 스펙트럼 함수를 이용하여 조도를 생성하였다. 같은 조건하에 2차원 모델과 3차원 모델의 동적응답 결과를 비교하여 타당성을 확인하였고, 2차원 모델에서 고려할 수 없는 수평방향 조도를 도입하였을 때 수직방향 부상공극에는 두드러진 영향을 미치지 않았으나, 수평방향 부상변위에 있어서 중요하게 작용함을 확인하였다.

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Improvement of the Convergence Capability of a Single Loop Single Vector Approach Using Conjugate Gradient for a Concave Function (오목한 성능함수에서 공액경사도법을 이용한 단일루프 단일벡터 방법의 수렴성 개선)

  • Jeong, Seong-Beom;Lee, Se-Jung;Park, Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.7
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    • pp.805-811
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    • 2012
  • The reliability based design optimization (RBDO) approach requires high computing cost to consider uncertainties. In order to reduce the design cost, the single loop single vector (SLSV) approach has been developed for RBDO. This method can reduce the cost in calculating deign sensitivity by elimination of the nested optimization process. However, this process causes the increment of the instability or inaccuracy of the method according to the problem characteristics. Therefore, the method may not give accurate solution or the robustness of the solution is not guaranteed. Especially, when the function is concave, the process frequently diverges. In this research, the concept of the conjugate gradient method for unconstrained optimization is utilized to develop a new single loop single vector method. The conjugate gradient is calculated with gradient directions at the most probable points (MPP) of previous cycles. Mathematical examples are solved for the verification of the proposed method. The numeri cal performances of the obtained results are compared to those of other RBDO methods. The SLSV approach using conjugate gradient is not greatly influenced by the problem characteristics and improves its convergence capability.

Quality Assurance on Dose Distribution of Ir-192 Line Source (Ir-192 선 선원의 선량분포에 관한 품질보증)

  • Kim, Jong-Eon
    • Journal of radiological science and technology
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    • v.30 no.1
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    • pp.33-38
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    • 2007
  • The propose of this study is a verification of the correct calculation of the dose around source and the prescription dose of Ir-192 source in the plato treatment planning system. The source and orthogonal coordinates for lateral direction and those for the anterior posterior direction were drawn on a A4 paper and then input into the system. The prescription dose was prescribed to two points with radius 1 cm in the direction of polar angle $90^{\circ} and $270^{\circ} from the center of the source. The doses of prescription point and dose points acquired from the treatment planning system were compared with those from manual calculation using the geometry function formalism derived by Paul King et al. In this analysis, the doses of prescription point were exactly consistent with each other and those of dose points were obtained within the error point of 1.85%. And the system of accuracy was evaluated within 2% of tolerance error. Therefore, this manual dose calculation used for the geometry function formalism is considered to be useful in clinics due to its convenience and high quality assurance.

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Velocity Field Estimation using A Weighted Local Optimization (가중된 국부 최적화 방법을 이용한 속도장의 추정)

  • 이정희;김성대
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.4
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    • pp.490-498
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    • 1993
  • A variety of methods for measuring the velocity from an image sequence use the relationship between the spatial and temporal gradients of image brightness function. In most situations, an additional constraint is required because the velocity is not determined uniquely by a above relationship. Horn and Schunch proposed a constraint that the velocity field should vary smoothly over the image. This requirement, however, forces the velocity field to vary smoothly even across motion boundaries. To complement this probe, Nagel introduced and 'oriented smoothness' constraint which restricts variations of velocity field only in directions with small or no variation of image brightness function. On the other hand, Paquin and Dubois proposed a different type of constraint that the velocity is constant in a small area of image. But, this constraint also creates difficulties at motion boundaries which large variations in velocity field often occur. We propose the method to overcome these difficulties by utilizing the information of discontinuities in image brightness function, and present the experimental results.

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