• Title/Summary/Keyword: 기하학적 해석

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A Voxelization for Geometrically Defined Objects Using Cutting Surfaces of Cubes (큐브의 단면을 이용한 기하학적인 물체의 복셀화)

  • Gwun, Ou-Bong
    • The KIPS Transactions:PartA
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    • v.10A no.2
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    • pp.157-164
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    • 2003
  • Volume graphics have received a lot of attention as a medical image analysis tool nowadays. In the visualization based on volume graphics, there is a process called voxelization which transforms the geometrically defined objects into the volumetric objects. It enables us to volume render the geometrically defined data with sampling data. This paper suggests a voxeliration method using the cutting surfaces of cubes, implements the method on a PC, and evaluates it with simple geometric modeling data to explore propriety of the method. This method features the ability of calculating the exact normal vector from a voxel, having no hole among voxels, having multi-resolution representation.

On the Structural Analysis Using the Isogeometry Analysis Approach (등기하 해석법을 이용한 구조해석)

  • Lee, Joo-Sung;Chang, Kyoung-Sik;Roh, Myoung-Il
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.1
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    • pp.55-60
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    • 2011
  • In the present work, isogeometric analysis in linear elasticity problem is conducted using the basis functions from NURBS. The objectives of isogeometric analysis introduced is to integrate both geometric modeling(CAD) and computational analysis(CAE), and this can be accomplished from direct usage of geometric modeling by NURBS as the computational mesh. The merit of the isogeometry analysis is that NURBS surface are able to represent exact geometry from the control points and knot vectors, and also subsequent refinement is relatively simple relatively. In order to verify the computer codes developed in this study, it has been applied to two structural models of which geometry are simple ; 1) circular cylinder subjected to the constant internal pressure loading, 2) square plate with circular hole at center subjected to uniform tension. The exact solutions of these two models are available. Convergence of the approximate solutions by the present code for the isogeometry analysis are investigated by mesh refinement with inserting knots (h-refinement) and by mesh refinement with order elevation of the basis functions (p-refinement).

Geometric Nonlinear F.E. Analysis of Plane Frames Including Effects of the Internal Hinge (내부(內部)힌지효과(效果)를 고려(考慮)한 평면(平面) 뼈대구조(構造)의 기하학적(幾何學的)인 비선형(非線型) 유한요소해석(有限要素解析))

  • Kim, Moon Young
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.1
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    • pp.93-103
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    • 1994
  • Two beam/column elements are developed in order to analyze the geometric nonlinear plane irames including the effects of internal hinge and transverse shear deformation. In the case of the first element (finite segment method), tangent stiffness matrix is derived by directly integrating the equilibrium equations whereas in the case of the second element (finite element method) elastic and goemetric stiffness matrices are calculated by using the hermitian polynomials including the effects of internal hinge and shear deformation as the shape function. Numerical results are presented for the selected test problems which demonstrate that both elements represent reliable and highly accurate tools.

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Resisting Strength of Ring-Stiffened Cylindrical Steel Shell under Uniform External Pressure (균일외압을 받는 링보강 원형단면 강재 쉘의 강도특성)

  • Ahn, Joon Tae;Shin, Dong Ku
    • Journal of Korean Society of Steel Construction
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    • v.30 no.1
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    • pp.25-35
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    • 2018
  • Resisting strength of ring-stiffened cylindrical steel shell under uniform external pressure was evaluated by geometrically and materially nonlinear finite element method. The effects of shape and amplitude of geometric initial imperfection, radius to thickness ratio, and spacing of ring stiffeners on the resisting strength of ring-stiffened shell were analyzed. The resisting strength of ring-stiffened cylindrical shells made of SM490 obtained by FEA were compared with design strengths specified in Eurocode 3 and DNV-RP-C202. The shell buckling modes obtained from a linear elastic bifurcation FE analysis were introduced in the nonlinear FE analysis as initial geometric imperfections. The radius to thickness ratios of cylindrical shell in the range of 250 to 500 were considered.

A Study on the Dynamic Behavior of Cable-Stayed Bridge Considering Geometric Nonlinearity of Cables (케이블의 기하학적 비선형성을 고려한 사장교의 동적거동에 관한 연구)

  • Park, Young Suk;Chung, Si Youn;Lee, Myong Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.4
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    • pp.15-25
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    • 1989
  • This paper presents the results of the numerical analysis on the behavior of cable-stayed bridge considering geometric nonlinearity of cables. Finite element method is used and geometric nonlinearities are considered on the analysis of cable-stayed bridge. The governing equilibrium equations are derived by the principle of virtual work, and modified Newton-Raphson method and Newmark-${\beta}$ method are employed in response calculations. The validity of this study is demonstrated by comparing the examples with analytical results by other method and testing results.

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Geometrically Nonlinear Analysis of Higher Order Plate Bending Finite Element (고차 판 유한요소의 기하학적 비선형 해석)

  • Shin, Young Shik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.3
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    • pp.1-10
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    • 1988
  • A higher order plate bending finite element using cubic in-plane displacement profiles is proposed for geometrically nonlinear analysis of thin and thick plates. The higher order plate bending element has been derived from the three dimensional plate-like continuum by discretization of the equations of motion by Galerkin weighted residual method, together with enforcing higher order plate assumptions. Total Lagrangian formulation has been used for geometrically nonlinear analysis of plates and consistent linearization by Newton-Raphson method has been performed to solve the nonlinear equations. The element characteristics have been computed by, selective reduced integration technique using Gauss quadrature to avoid shear locking phenomenon in case of extremely thin plates. Several numerical examples were solved with FEAP macro program to demonstrate versatility and accuracy of the present higher order plate bending element.

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Probabilistic Analysis for Rock Slope Stability (확률론적 해석방법을 이용한 암반사면 안정성 해석)

  • Park Hyuck-Jin
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.03b
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    • pp.365-372
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    • 2000
  • 현장상황에 대한 불충분한 자료와 파괴 메커니즘에 대한 불완전한 이해로 인해 발생하는 가변성(variability)과 불확실성(uncertainty)은 암반사면공학뿐만 아니라 지반공학에서 흔히 접하게 되는 문제점이다. 특히 암반사면공학에서는 이러한 가변성과 불확실성이 불연속면의 방향 및 기하학적 특성, 그리고 실내실험 결과의 분산으로 나타난다. 그러나 안전율(factor of safety)의 개념을 기초로 하는 전통적인 결정론적 해석방법(deterministic analysis)은 이러한 분산을 고려하지 않은 채 단일 대표 값만을 이용하여 구조물의 안정성을 판단하여 왔다. 확률론적 해석방법(probabilistic analysis)은 이러한 가변성과 불확실성을 효과적으로 정량화하여 해석에 이용할 수 있는 방법 중의 하나로 제안되었다. 이러한 해석방법은 불연속면의 기하학적 특성과 강도 특성을 확률변수(random variable)로 취급하여 신뢰성이론(reliability theory)과 확률이론(probability theory)을 근거로 분석하였으며 이를 기초로 하여 Monte Carlo Simulation과 같은 해석법을 이용, 구조물의 붕괴가능성을 확률로 표현하였다. 확률론적 해석 방법은 기존의 안전율을 대체하여 구조물의 안정성을 붕괴확률(probability of failure)로 제안하였으며 이 붕괴확률은 안전율의 확률분포함수 (probability density function)에서 안전율이 1보다 작을 가능성을 확률로 나타낸 수치이다. 본 논문에서는 확률론적 해석방법을 이용하여 불연속면 특성들의 확률특성을 고찰하였으며 이를 기초로 하여 암반사면의 안정성 해석에 응용했다.

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Inelastic Buckling Analysis of Partially Restrained Frame (유연 뼈대 구조물의 비탄성 좌굴 해석)

  • Kim Seung Eock
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.10a
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    • pp.19-28
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    • 1996
  • 본 논문에서는 유연 연결부를 갖고 있는 이차원 구조물의 비탄성 좌굴해석을 연구하였다. 본 해석을 통하여 구조물의 기하학적, 및 재료적 비선형 뿐만 아니라 유연 연결부의 비선형 효과가 구조물의 거동과 강도에 미치는 영향을 예측할 수 있다. 본 해석 결과는 실험 결과와 비교하였으며 예제해석도 수행하였다.

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암반공학 분야에서 수치해석의 적용성에 관하여

  • 이희근
    • Tunnel and Underground Space
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    • v.10 no.3
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    • pp.257-270
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    • 2000
  • 사물의 거동, 현상에 대한 해석을 실시함에 있어 해석적 해법에 대비한 수치적 해법의 장점은 재질의 성질이 불균질하고 이방성이며 구조물의 형태가 기하학적으로 복잡할 뿐만 아니라 경계조건이 복잡하여 수학적인 표현이 어려울 때 그 해석을 가능케 해 주는 것이라고 볼 수 있다. 이러한 수치 해석법의 대표적인 것으로 유한요소법과 경계 요소법을 들 수 있다.(중략)

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Dynamic Analysis of Axisymmetric Prestressed Shell Structures Subjected to Seismic Excitations (지진하중을 받는 축대칭 프리스트레스트 쉘 구조물의 동적해석)

    • Journal of the Earthquake Engineering Society of Korea
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    • v.2 no.4
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    • pp.11-22
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    • 1998
  • An axisymmetric shell element which includes the effects of the meridional and circumferential cable prestresses is developed. It is coded for personal computer by the maximum use of axisymmetic properties and the dynamic analysis is performed under the seismic exitations. A ring element is used to fully utilize the characteristics of the axisymmetric shell. The eigenvalue solutions using 20 elements under the initial prestresses are in good agreement with the exact solutions. The results of the seismic analysis show that the radial deflection under the meridional prestress is a little larger than that under the circumferential prestress. The finite element model developed in this study can be very useful to the design applications.

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