• Title/Summary/Keyword: 2-circular matrix

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An Analysis of the Reinforced Concrete Circular Ring Sector Plates with Arbitrary Boundary Conditions (I) - Part I Effects of open-angle - (임의의 경계조건을 갖는 철근 콘크리트 선형판의 해석 -제1보 개각의 영향)

  • 조진구
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.33 no.2
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    • pp.94-103
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    • 1991
  • This study was carried out to investigate the engineering characteristics of the R.C circular ring sector plate with various boundary conditions and then to propose a rational and paraical method for application of finite element method to R.C structures. The stiffness matrix of the circular ring sector plate was obtained by using the multi-base coordinate system in which the base-coordinate systems were constructed for each nodal point of the quadrilateral element in order to reflect the complicated boundary conditions conveniently and correctly. The R.C element stiffness matrix was constructed by adding the stiffness coefficients of the steel-bar element into the plate bending element stiffness matrix. Herein, the steel-bar element was treated as the common beam element. Using the above method, the effects of steel-bar can be considered without increasing of the numbers of element and nodal points.

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Aggregate shape influence on the fracture behaviour of concrete

  • Azevedo, N.Monteiro;Lemos, J.V.
    • Structural Engineering and Mechanics
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    • v.24 no.4
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    • pp.411-427
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    • 2006
  • The Discrete Element Method, DEM, is increasingly used in fracture studies of non-homogeneous continuous media, such as rock and concrete. A 2D circular rigid DEM formulation, developed to model concrete, has been adopted. A procedure developed to generate aggregate particles with a given aspect ratio and shape is presented. The aggregate particles are modelled with macroparticles formed by a group of circular particles that behave as a rigid body. Uniaxial tensile and compression tests performed with circular and non-circular aggregates, with a given aspect ratio, have shown similar values of fracture toughness when adopting uniform strength and elastic properties for all the contacts. Non-circular aggregate assemblies are shown to have higher fracture toughness when different strength and elastic properties are set for the matrix and for the aggregate/matrix contacts.

SPECTRAL RADIUS OF BIORTHOGONAL WAVELETS WITH ITS APPLICATION

  • Zou, Qingyun;Wang, Guoqiu;Yang, Mengyun
    • Journal of the Korean Mathematical Society
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    • v.51 no.5
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    • pp.941-953
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    • 2014
  • In this paper, a 2-circular matrix theory is developed, and a concept of spectral radius for biorthogonal wavelet is introduced. We propose a novel design method by minimizing the spectral radius and obtain a wavelet which has better performance than the famous 9-7 wavelet in terms of image compression coding.

Mutual Information-based Circular Template Matching for Image Registration (영상등록을 위한 Mutual Information 기반의 원형 템플릿 정합)

  • Ye, Chul-Soo
    • Korean Journal of Remote Sensing
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    • v.30 no.5
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    • pp.547-557
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    • 2014
  • This paper presents a method for designing circular template used in similarity measurement for image registration. Circular template has translation and rotation invariant property, which results in correct matching of control points for image registration under the condition of translation and rotation between reference and sensed images. Circular template consisting of the pixels located on the multiple circumferences of the circles whose radii vary from zero to a certain distance, is converted to two-dimensional Discrete Polar Coordinate Matrix (DPCM), whose elements are the pixels of the circular template. For sensed image, the same type of circular template and DPCM are created by rotating the circular template repeatedly by a certain degree in the range between 0 and 360 degrees and then similarity is calculated using mutual information of the two DPCMs. The best match is determined when the mutual information for each rotation angle at each pixel in search area is maximum. The proposed algorithm was tested using KOMPSAT-2 images acquired at two different times and the results indicate high accurate matching performance under image rotation.

A Study on Circular Filtering in Orthogonal Transform Domain

  • Song, Bong-Seop;Lee, Sang-Uk
    • Journal of Electrical Engineering and information Science
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    • v.1 no.2
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    • pp.125-133
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    • 1996
  • In this paper, we dicuss on the properties related to the circular filtering in orthogonal transform domain. The efficient filtering schemes in six orthogonal transform domains are presented by generalizing the convolution-multiplication property of the DFT. In brief, the circular filtering can be accomplished by multiplying the transform domain filtering matrix W, which is shown to be very sparse, yielding the computational gains compared with the time domain processing. As an application, decimation and interpolation techniques in orthogonal transform domains are also investigated.

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Exact solutions of axisymmetric free vibration of transversely isotropic magnetoelectroelastic laminated circular plates

  • Chen, Jiangying;Xu, Rongqiao;Huang, Xusheng;Ding, Haojiang
    • Structural Engineering and Mechanics
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    • v.23 no.2
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    • pp.115-127
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    • 2006
  • The axisymmetric free vibrations of transversely isotropic magnetoelectroelastic laminated circular plates are studied. Based on the three-dimensional governing equations of magnetoelectroelastic medium, the state space equations of laminated circular plates are obtained. By using the finite Hankel transform and rendering the free terms left by the transform in terms of the boundary quantities, the solutions of the state space equations are given for two kinds of boundary conditions. The frequency equations of the free vibration are derived using the propagator matrix method and the boundary conditions at top and bottom surfaces. By virtue of the inverse Hankel transform, the mode shapes are also determined. Since the solutions strictly satisfy the governing equations in the region and the boundary conditions at the edges, they are the three-dimensionally exact. Finally, the natural frequencies of such plates are tabulated and compared with those of the piezoelectric and elastic plates in the numerical example.

Comparison of Circular vs Non-Circular Orbit Data Acquistion using Single Head Single Photon Emission Computed Tomography (SPECT) (단일검출기 단일광자방출 전산화단층촬영술에서 원형(Circular)과 비원형(Non-circular) 회전방식 자료획득(Data Acquisition)의 비교)

  • Sohn, Hyung-Sun;Shinn, Kyung-Sub
    • The Korean Journal of Nuclear Medicine
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    • v.29 no.1
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    • pp.118-124
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    • 1995
  • 단일광자방출전산화 단층촬영술을 이용한 영상정보를 효과적으로 얻기 위하여 고려되어야 할 사항으로는 1) 조준기(collimator)의 선택, 2) 기질(matrix)의 크기, 3) 회전각의 수 (number of angles), 4) 360도 또는 180도 획득(acquisition), 5) continuous 또는 step& shoot, 6) 원형 또는 비원형회전 등이 있다. 저자들은 비원형회전으로 검체와 검출기 사이의 거리를 단축시킴으로써 직선성, 균일성, 대조도, 해상력에 미치는 영향을 알아보기 위하여 원형회전 방법과 비교하여 다음과 같은 결과를 얻었다. (1) 비원형회전을 하여도 균일성(uniformity)과 직선성(linearlity)을 유지한다. (2) 균일성, 대조도(contrast), 해상력(resolution)들이 비원형 회전을 한 경우에 보다 더 개선되었다. (3) 영상 획득시간은 비원형회전인 경우에 더 소요되었다. (매스캔 당 10분) 따라서 검사자는 영상 화질의 개선효과와 상반되는 보정(calibration)과 설치(set-up)에 소요되는 시간(매스캔당 10분이상)을 비교하여 자료획득(data acquisition) 회전방법을 선택하여야한다.

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Constitutive Equations for Three Dimensional Circular Braided Glass Fiber Reinforced Composites Using Cell Modeling Method (셀 방법을 이용한 3차원 원형 브레이드 유리 섬유 강화 복합 재료의 구성 방정식)

  • 이원오;정관수
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2003.10a
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    • pp.71-74
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    • 2003
  • The cell modeling homogenization method to derive the constitutive equation considering the microstructures of the fiber reinforced composites has been previously developed for composites with simple microstructures such as 2D plane composites and 3D rectangular shaped composites. Here, the method has been further extended for 3D circular braided composites, utilizing B-spline curves to properly describe the more complex geometry of 3D braided composites. For verification purposes, the method has been applied for orthotropic elastic properties of the 3D circular braided glass fiber reinforced composite, in particular for the tensile property. Prepregs of the specimen have been fabricated using the 3D braiding machine through RTM (resin transfer molding) with epoxy as a matrix. Experimentally measured uniaxial tensile properties agreed well with predicted values obtained fer two volume fractions.

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A study on a Measurement Method of the Circular-to-Rectangular Waveguide Transition characteristics. (원형-구형 도파관 변환부의 특성 측정 방법 연구)

  • 최병철;신동숙;방재훈;안병철
    • Proceedings of the IEEK Conference
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    • 2002.06a
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    • pp.211-214
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    • 2002
  • In this paper, we present a simple method for characterizing a rectangular waveguide to circular waveguide transition Three standard loads consisting of a short circuit, an offset short circuit 1, and an offset short circuit 2 are sequentially connected to the circular waveguide port and the reflection coefficient at port 1 Is measured for each case. From known reflection coefficients, of standard loads and measured reflection coefficients, the scattering matrix of the transition Is obtained. The proposed method Is verified by the numerical experiment using a commercial software HFSS and by measurments of a actual rectangular-to-circular waveguide transition.

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Fiber optic circular polarizing mirror using polymer cholesteric liquid crystal and it's application in the mode-locked fiber laser (콜레스테릭 액정 폴리머 박막을 이용한 광섬유 원편광 거울 제작 및 이를 이용한 모드 록킹 된 광섬유 레이저)

  • 장도일;김경헌;김인선;김성태
    • Korean Journal of Optics and Photonics
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    • v.11 no.2
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    • pp.91-96
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    • 2000
  • We propose a novel in-line fiber optic circular polarizing mirror utilizing cholesteric lIquid crystal (CLC) polymer [11m for the fiber laser applications. Ions matrix representation of this device has been derived and venfied experimentally. In a Fabry-Perot cavity configuration, a CLC fiber optic rmrror has been used to achieve longitudinal mode suppression as well as to obtain passively mode~locked laser operations with 630 fs laser pulses via nonlinear polarization evoluhon.oluhon.

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