• Title/Summary/Keyword: 직선 보 요소

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Spatial Stability of Non-Symmetric Thin-Walled Curved Beams II : Numerical Approach (비대칭 단면을 갖는 박벽 곡선보의 안정성해석 II : 수치적 방법)

  • 민병철;김문영
    • Computational Structural Engineering
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    • v.11 no.4
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    • pp.253-265
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    • 1998
  • 본 논문에서는 연계논문에서 제시한 비대칭 박벽단면을 갖는 곡선보 및 직선보 이론을 토대로, 곡선보 요소 및 직선보 요소를 개발하고 이를 이용한 유한요소 정식화 과정을 제시한다. 유한요소 정식화 과정에서는 요소의 변위장을 도심에 대하여 정의한 후, 요소 변위벡터에 관한 3차의 Hermitian 다항식을 형상함수로 사용하고 가우스 적분을 행함으로써 탄성 강도행렬 및 기하학적 강도행렬을 산정하였다. 얻어진 강도행렬을 이용하여 고유치 문제를 계산함으로써 좌굴하중을 계산하였으며 다양한 해석 예제를 통하여 다른 연구자들의 해석 결과와 비교 검토함으로써 본 연구의 타당성과 우수성을 입증하고자 한다.

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Locking-free Straight Beam Element by a Modified Transverse Displacement Field (수정 횡변위장에 의한 강성과잉이 없는 직선 보 요소)

  • 이팔갑;신효철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.12
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    • pp.2287-2297
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    • 1992
  • The Formulation of a new Hermite straight beam element to eliminate the shear locking is presented. All the kinematic variables in Timoshenko beam are reinterpreted by the consideration of equilibrium equations together. It shows that when the modified transverse displacement field is used the Timoshenko beam looks apparently the same as the Euler beam. The element is formulated for the modified transverse displacement field to have the same interpolation scheme as that in the Hermite element. Transformation Matrix which relates a modified nodal vector with nonmodified one is also introduced to deal with general boundary conditions. Several examples are demonstrated and discussed for the purpose of verification of the concepts employed. The solutions obtained reveal that the element describes of the beam quite correctly, showing no locking and that it is also applicable to the analysis of both thin and thick beams.

Determination of Hypocentral Parameters using Phase Identification and Two Point Ray Tracing (파형 분석과 두 점을 잇는 파선추적을 이용한 진원요소 결정)

  • 박종찬
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2000.10a
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    • pp.57-65
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    • 2000
  • 파형분석과 두 점을 잇는 파선추적은 진원요소 결정의 정확성을 향상시키는 주요한 요인이다. 본 연구에서는 3성분 지진기록의 직선형도(rectilinearity) 함수와 방향성(directionality)함수를 사용하여 파형분석한 결과와 두 점을 잇는 파선추적을 기존의 진원요소결정 프로그램에 적용하여 진원요소 결정의 정확성을 증가시켰다. 지진의 규모가 작을 때 Pn이 보이지 않고 PmP가 초동파로 기록된 것처럼 보인다. 이러한 지진에서는 주어진 진앙거리에서 최소 주행시간이 걸리는 P파와 S파의 초동파만 사용한 기존의 진원요소 결정 방법과 본 연구에서 PmP와 SmS를 사용한 결과는 매우 큰 차이를 보인다.

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An Assumed Strain Beam Element for Spatial Post-Buckling Analysis of Non-symmetric and Shear Flexible Thin-Walled Beams (박벽보의 3차원 후좌굴 해석을 위한 Locking-Free 보요소)

  • Lee, Kyoung-Chan;Kim, Moon-Young;Park, Jung-Il;Chang, Sung-Pil
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.6
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    • pp.719-730
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    • 2007
  • This study presents a thin-walled space frame element based on the classical Timoshenko beam theory. The element is derived according to the assumed strain field in order to resolve the shear-locking phenomenon. The shape function is developed in accordance with the strain field which is assumed to be constant at a 2-noded straight frame element. In this study, the geometrically nonlinear analysis applies the Corotational procedure in order to evaluate unbalanced loads. The bowing effect is also considered faithfully. Two numerical examples are given; monosymmetric curved and nonsymmetric straight cantilever. When these example structures behave lateral-torsional bucking, the critical loads are obtained by this study and ABAQUS shell elements. Also, the post-buckling behavior is examined. The results give good agreement between this study and ABAQUS shell.

Transfinite Interpolation Technique for P-Version of F.E.M. (초유한 보간법에 의한 p-version 유한요소해법)

  • 우광성
    • Computational Structural Engineering
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    • v.5 no.1
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    • pp.75-82
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    • 1992
  • In the h-version of F.E.M., all piecewisely smooth curved boundaries can be approximated by a sufficient number of straight-sided elements. However, in the p-version the size of the element is usually large and hence the probability of distortions is more. An attempt has been made to generate a curved boundary by using a transfinite interpolation technique to avoid the discretization errors. In the following sections, it will be shown how to construct transfinite interpolants both in h-version and in p-version over polygonal and nonpolygonal regions. Three numerical tests are shown to validate the applicability and superior capability of transfinite interpolation technique.

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Free Vibration Analysis of Horizontally Curved I-Girder Bridges using the Finite Element Method (유한요소법을 이용한 수평곡선 I형교의 자유진동해석)

  • Yoon, Ki Yong;Kang, Young Jong
    • Journal of Korean Society of Steel Construction
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    • v.10 no.1 s.34
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    • pp.47-61
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    • 1998
  • The behavior of horizontally curved I-girder bridges is complex because the flexural and torsional behavior of curved girders are coupled due to their initial curvature. Also, the behavior is affected by cross beams. To investigate the behavior of horizontally curved I-girder bridges, it is necessary to consider curved girders with cross beams. In order to perform free vibration analyses of horizontally curved I-girder bridges, a finite element formulation is presented here and a finite element analysis program is developed. The formulation that is presented here consists of curved and straight beam elements, including the warping degree of freedom. Based on the theory of thin-walled curved beams, the shape functions of the curved beam elements are derived from homogeneous solutions of the static equilibrium equations. Third-order hermits polynomials are used to form the shape functions of the straight beam elements. In the finite element analysis program, global stiffness and mass matrix are composed, based on the Cartesian coordinate system. The Gupta method is used to efficiently solve the eigenvalue problem. Comparing the results of several examples here with those of previous studies, the formulation presented is verified. The validity of the program developed is shown by comparing results with those analyzed by the shell element.

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Resolving Line Distortions in Edge Strength Hough Transform (경계선 강도 허프 변환에서 직선 왜곡의 최소화 방안)

  • Woo, Young-Woon;Heo, Gyeong-Yong;Park, Choong-Shik
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2007.10a
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    • pp.383-386
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    • 2007
  • 허프 변환(Hough transform)은 영상에서 몇 개의 파라미터로 표현되는 기하학적 요소 추출을 위해 널리 사용되고 있는 방법 중 하나이다. 하지만 허프 변환은 영상의 한 픽셀이 허프 공간(Hough space)의 한 방정식에 대응되는 일대다 특성으로 인해 잡음에 민감한 특성을 갖는다. 이러한 잡음 민감성은 검출되는 직선의 개수뿐만이 아니라 검출된 직선의 품질에도 영향을 미칠 수 있다. 즉, 실제 직선에서 벗어난 직선이 검출되거나 하나의 실제 직선에 대해 여러 개의 직선이 검출되는 등의 직선 왜곡이 발생할 수 있다. 이러한 직선 왜곡은 잡음 이외에도 허프 공간의 설정, 특히 각 해상도의 설정에 영향을 받는다. 이 논문에서는 기존의 허프 변환에서 발생하는 이러한 직선 왜곡을 분석하고, 잡음 민감성을 줄이기 위해 제안된 경계선 강도 허프 변환(Edge Strength Hough Transform, ESHT)에서 이러한 왜곡이 적게 발생함을 보인다. 또한 ESHT에서만 발생할 수 있는 왜곡을 분석하고 해결방안을 제시한다. 제시한 방법에 의해 직선의 왜곡이 감소하는 것은 실험 결과를 통해 확인할 수 있다.

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Free Vibration Analysis of Monosymmetric Thin-walled Circular Curved Beam (일축대칭 단면을 갖는 박벽 원형 곡선보의 자유진동 해석)

  • 장승필;김문영;민병철
    • Journal of the Earthquake Engineering Society of Korea
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    • v.2 no.2
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    • pp.57-68
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    • 1998
  • For free vibration of monosymmetric thin-walled circular arches including restrained warping effect, the elastic strain and kinetic energy is derived by introducing displacement fields of circular arches in which all displacement parameters are defined at the centroid axis. The cubic Hermitian polynomials are utilized as shape functions for development of the curved thin-walled beam element having eight degrees of freedom. Analytical solution for free vibration behaviors of simply supported thin-walled curved beam element is presented by evaluating elastic stiffness and mass matrices. In order to illustrate the accuracy and practical usefulness of this study, analytical and numerical solutions for free vibration of circular arches are presented and compared with solutions analyzed by the FEM using straight beam element.

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Dynamic Behavior of Curved Bridges under Seismic Loading (지진하중을 받는 곡선교량의 동적거동)

  • Park, Nam-Hoi;Yoon, Ki-Yong;Kang, Young-Jong
    • Journal of the Korean Society of Hazard Mitigation
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    • v.5 no.3 s.18
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    • pp.11-21
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    • 2005
  • This study is performed to understand complex behavior and to investigate the rational analysis methods for seismic design of the curved bridges. To analyze the curved bridges for the seismic loadings, it is used that the finite element analysis program has the 7-dof curved beam and straight beam element. The free vibration characteristics of the curved bridges are compared with the straight bridges that have span length same as the average arc length of inside and outside girder of those. For the same case, the dynamic behavior is compared under seismic loadings. It is found that regular bridges classified by AASHTO are analyzed as if those were straight. To investigate the dynamic behavior of general curved bridges under seismic loading, the seismic loading directions and the subtended angle of curved bridges are varied.

Component Analysis and Classification for Rotated Document Image (회전된 문서영상에서의 구성요소 분석 및 분류)

  • 모문정;김욱현
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2001.06a
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    • pp.169-172
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    • 2001
  • 본 논문에서는 회전된 문서에서의 회전각 검출과 문서에 포함된 그림, 글자, 표, 직선과 같은 구성요소를 자동으로 분석하고 분류하는 방법을 제안한다. 본 연구는 입력영상을 획득하는 과정에서 발생되는 회전각에 의해 발생되는 오류를 최소화하기 위한 회전각 검출단계, 각 구성요소 검출에 불필요한 배경제거 단계, 각 구성요소의 특성을 통한 구성요소 분류단계로 이루어진다. 제안한 문서 인식 시스템의 성능 평가를 위해서 다양 한 문서에 제안한 방법을 적용하고, 성공적인 결과를 보인다.

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