• Title/Summary/Keyword: 포아송 관계식

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A Study on the Applicability of 2-Poisson Model for Selecting Korean Subject Words (2-포아송 모형을 이용한 한글 주제어 선정에 관한 연구)

  • 정영미;최대식
    • Journal of the Korean Society for information Management
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    • v.17 no.1
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    • pp.129-148
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    • 2000
  • Experiments were performed on three subsets of a Korean test collection in order to determine whether 2-Poisson model's Z value is a good measure for selecting subject words from a document to be indexed. It was found that subject word selection based on the Z value was effective for only one subset with short texts, i.e., the Science and Technology subset. Correlation analyses between 2-Poisson model's Z and TF.IDF weight for the three subsets showed that the correlation was relatively high for two test subsets with short texts, i.e., the Science and Technology subset and the Newspaper subset.

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The Closed-form Expressions of Magnetic Field Due to a Right Cylinder (원통형 이상체에 의한 자력 반응식)

  • Rim, Hyoungrea;Eom, Jooyoung
    • Geophysics and Geophysical Exploration
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    • v.23 no.1
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    • pp.50-54
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    • 2020
  • Herein, the closed-form expressions of the magnetic field due to an axially symmetric body such as a right cylinder, are derived. The magnetic field due to a right cylinder is converted from the gravity gradient tensor using Poisson's relation; the magnetic field induced by a constant magnetization can be obtained from the gravity gradient tensor with a constant density. Because of the axial symmetry of the cylinder, the expressions of gravity gradient tensor are derived in cylindrical coordinate and then transformed into Cartesian coordinates for the three components of the magnetic field using an arbitrary magnetization direction.

Expressions of Magnetic vector and Magnetic Gradient Tensor due to an Elliptical Cylinder (타원 기둥에 의한 자력 벡터 및 자력 변화율 텐서 반응식)

  • Hyoungrea Rim;Jooyoung Eom
    • Geophysics and Geophysical Exploration
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    • v.26 no.2
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    • pp.77-83
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    • 2023
  • In this study, the expressions of magnetic vector and magnetic gradient tensor due to an elliptical cylinder were derived. Igneous intrusions and kimberlite structures are often shaped like elliptical cylinders with axial symmetry and different radii in the strike and perpendicular directions. The expressions of magnetic fields due to this elliptical cylinder were derived from the Poisson relation, which includes the direction of magnetization in the gravity gradient tensor. The magnetic gradient tensor due to an elliptical cylinder is derived by differentiating the magnetic fields. This method involves obtaining a total of 10 triple derivative functions acquired by differentiating the gravitational potential of the elliptical cylinder three times in each axis direction. As the order of differentiation and integration can be exchanged, the magnetic gradient tensor was derived by differentiating the gravitational potential of the elliptical cylinder three times in each direction, followed by integration in the depth direction. The remaining double integration was converted to a complex line integral along the closed boundary curve of the elliptical cylinder in the complex plane. The expressions of the magnetic field and magnetic gradient tensor derived from the complex line integral in the complex plane were shown to be perfectly consistent with those of the circular cylinder derived by the Lipschitz-Hankel integral.

Expressions of Magnetic Field and Magnetic Gradient Tensor due to an Elliptical Disk (타원판에 의한 자력 및 자력 변화율 텐서 반응식)

  • Hyoungrea Rim
    • Geophysics and Geophysical Exploration
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    • v.27 no.2
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    • pp.108-118
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    • 2024
  • In this study, expressions for the magnetic field and magnetic gradient tensor due to an elliptical disk were derived. Igneous intrusions and kimberlite structures often have elliptical cylinders with axial symmetry and elliptical cross sections. An elliptical cylinder with varying cross-sectional areas was approximated using stacks of elliptical disks. The magnetic fields of elliptical disks were derived using the Poisson relation, which includes the direction of magnetization in the gravity gradient tensor, as described in a previous study (Rim, 2024). The magnetic gradient tensor due to an elliptical disk is derived by differentiating the magnetic fields, which is equivalent to obtaining ten triple-derivative functions acquired by differentiating the gravitational potential of the elliptical disk three times in each axis direction. Because it is possible to exchange the order of differentiation, the magnetic gradient tensor is derived by differentiating the gravitational potential of the elliptical disk three times, which is then converted into a complex line integral along the closed boundary curve of the elliptical disk in the complex plane. The expressions for the magnetic field and magnetic gradient tensor derived from a complex line integral in complex plane are perfectly consistent with those of the circular disk derived from the Lipschitz-Hankel integral.

Evaluation of Characteristics of Shear Strength and Poisso's Ratio through Triaxial and Bender Element Tests (벤더엘리먼트와 삼축시험을 통한 모래의 전단강도 및 포아송비 특성 규명)

  • Yoo, Jin-Kwon;Park, Du-Hee
    • Journal of the Korean Geotechnical Society
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    • v.30 no.5
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    • pp.67-75
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    • 2014
  • In this paper, isotropically consolidated drained triaxial compression test device installed with bender elements is used to measure stress, stain, and shear wave velocity, from which the characteristics of shear strength and Poisson'ratio are investigated. The results show that there is a unique relationship between maximum shear modulus determined from shear wave velocity and effective vertical stress at failure, which is defined as the sum of vertical and radial stresses at failure. The correlation is very useful since it is possible to predict the shear strength and internal friction angle from shear wave velocity. In addition, Poisson's ratio is determined from measured axial and volumetric strains. It is demonstrated that the range of measured Poisson's ratio is between 0.15 and 0.6, and increases with the axial strain. The ratios at axial strains smaller than 0.2% corresponds to the range recommended in design codes, which are approximately from 0.3~0.35. However, at axial strains exceeding 1%, the measured ratios are between 0.5 and 0.6. It is therefore shown that use of ratios commonly used in practice will result in pronounced underestimation at large strains.

Closed-form Expressions of Magnetic Field and Magnetic Gradient Tensor due to a Circular Disk (원판형 이상체에 의한 자력 및 자력 변화율 텐서 반응식)

  • Rim, Hyoungrea
    • Geophysics and Geophysical Exploration
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    • v.25 no.1
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    • pp.38-43
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    • 2022
  • In case axial symmetrical bodies with varying cross sections such as volcanic conduits and unexploded ordnance (UXO), it is efficient to approximate them by adding the response of thin disks perpendicular to the axis of symmetry. To compute the vector magnetic and magnetic gradient tensor respones by such bodies, it is necessary to derive an analytical expression of the circular disk. Therefore, in this study, we drive closed-form expressions of the vector magnetic and magnetic gradient tensor due to a circular disk. First, the vector magnetic field is obtained from the existing gravity gradient tensor using Poisson's relation where the gravity gradient tensor due to the same disk with a constant density can be transformed into a magnetic field. Then, the magnetic gradient tensor is derived by differentiating the vector magnetic field with respect to the cylindrical coordinates converted from the Cartesian coordinate system. Finally, both the vector magnetic and magnetic gradient tensors are derived using Lipschitz-Hankel type integrals based on the axial symmetry of the circular disk.

An Experimental Study for Improving the Applicability of High-Strength Concrete (고강도 콘크리트의 실용성 향상을 위한 실험적 연구)

  • 유영찬;민병렬
    • Magazine of the Korea Concrete Institute
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    • v.4 no.2
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    • pp.83-92
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    • 1992
  • 본 연구의 목적은 현장에서 구입 가능한 저품질의 재료를 사용한 일련의 실험을 통하여 28일 압축강도와 물\ulcorner시멘트비와 관계를 유출함으로써 고강도 콘크리트의 배합설계식을 얻기 위한 것이다. 목표슬럼프는 고층건물에서의 시공성을 고려하여 15$\pm$2cm로 하였으며 혼화제로는 고성능감수제를 사용하였다. 실험결과로부터 고강도콘크리트의 응력-변형도 특성을 비롯하여 탄성계수, 포아송비, 단위중량 등 고강도 콘크리트의 일반적인 재료성질을 얻었으며 본 연구에서 제안한 고강도콘크리트의 배합설계식은 국내현장조건을 고려한 실용식으로 고강도콘크리트으 설계 및 시공을 위한 기초자료로 사용 가능하다고 판단된다.

A Study of the Threshold Voltage of a Symmetric Double Gate Type MOSFET (대칭형 이중 게이트 MOSFET에 대한 문턱전압 연구)

  • Lee, Jeong-Ihll;Shin, Jin-Seob
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.10 no.6
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    • pp.243-249
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    • 2010
  • In this thesis, in order to a equivalent circuit-analytical study for a symmetric double gate type MOSFET, we slove analytically the 2D Poisson's equation in a a silicon body. To solve the threshold voltage in a symmetric double gate type MOSFET from the derived expression for the surface potential which the two-dimensional potential distribution of a symmetric double gate type MOSFET is assumed approximately. This thesis can use short and long channel in a silicon body we introduce a new the threshold voltage model in a symmetric double gate type MOSFET and measure it the distance about the range of channel length up to 0.1 [${\mu}m$].

The Closed-form Expressions of Gravity, Magnetic, Gravity Gradient Tensor, and Magnetic Gradient Tensor Due to a Rectangular Prism (직육면체 프리즘에 의한 중력, 자력, 중력 변화율 텐서 및 자력 변화율 텐서의 반응식)

  • Rim, Hyoungrea
    • Geophysics and Geophysical Exploration
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    • v.23 no.1
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    • pp.55-60
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    • 2020
  • The closed-form expressions of gravity, magnetic, gravity gradient tensor, and magnetic gradient tensor due to a rectangular prism are derived. The vertical gravity is derived via triple integration of a rectangular prism in Cartesian coordinates, and the two horizontal components of vector gravity are then derived via cycle permutation of the axis variables of vertical gravity through the axial symmetry of the rectangular prism. The gravity gradient tensor is obtained by differentiating the vector gravity with respect to each coordinate. Using Poisson's relation, a vector magnetic field with constant magnetic direction can be obtained from the gravity gradient tensor. Finally, the magnetic gradient tensor is derived by differentiating the vector magnetic with respect to appropriate coordinates.

Pointwise Convergence for the FEM in Poisson Equations by a 1-Irregular Mesh (포아송 방정식에서 1-Irregular Mesh를 이용한 유한요소법의 수렴성에 관한 연구)

  • Lee, Hyoung;Ra, Sang-Dong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.16 no.11
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    • pp.1194-1200
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    • 1991
  • The FEM is a computer-aided mathematical technique for obtaining approximate solution to the differential equations. The pointwise convergence defines the relationship between the mesh size and the tolerance. This will play an important role in improving quality of finite element approximate solution. In the paper. We evaluate the convergence on a certain unknown point with a 1-irregular mesh refinement and spectral order enrichment. This means that the degree of freedom is minimized within a tolerance.

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