• Title/Summary/Keyword: 곡선 보 요소

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A Development of NURBS-Based Pre and Post Processor for Structural Analysis of Free-Shaped Beam (자유형상 보요소 해석을 위한 NURBS기반의 전·후처리 모듈 개발)

  • Jung, Sung-Jin;Park, Se-Hee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.10
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    • pp.6673-6678
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    • 2015
  • Recently, the free form buildings are constructed frequently. Exterior and interior components of these buildings have the free cross-section and a curved shape. So, There are many usages of classical finite element having tapered section and free-style shape. Some general commercial applications like ETABS, SAP2000, MIDAS are usually used for the safety evaluation of the free form structures. However, there are some limits in the accuracy of structural analysis and the length of analysis time because a very complicated finite element mesh have to be used. Therefore, In this study, a pre and post program module was developed to take advantage of general 3-D curved beam element which has a free-style curved shape and mathematical backgrounds. Pre-post processing module has been developed in this study was developed to control the curvature of the curved members by the NURBS control points. As a result, fast geometric modeling than was possible commercial applications. In addition, realistic depiction of the shape and behavior patterns were possible because of the free-form building allows visual check of the free form.

Optimal Interpolation Functions of 2-None Hybrid-Mixed Curved Beam Element (두 절점 혼합 곡선 보요소의 보간함수 선정)

  • Kim, Jin-Gon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.12
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    • pp.3003-3009
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    • 2000
  • In this paper, we propose a new efficient hybrid-mixed C(sup)0 curved beam element with the optimal interpolation functions determined from numerical tests, which gives very accurate locking-free two-node curved beam element. In the element level, the stress parameters are eliminated from the stationary condition and the nodeless degrees of freedom are also removed by static condensation so that a standard six-by-six stiffness matrix is finally obtained. The numeri cal benchmark problems show that the element with cubic displacement functions and quadratic stress functions is the most efficient.

Local Buckling Characteristics of a column with I section (I형강기둥의 국부좌굴 특성)

  • 임종완;임장근
    • Transactions of the Korean Society of Automotive Engineers
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    • v.2 no.4
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    • pp.18-26
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    • 1994
  • The buckling characteristics of I - shaped columns which are composed of thin web and equal upper/lower flange plates are generally classified into the local and global modes. In this paper, its local buckling problem has been formulated on the basis of the assumed buckling modes using the finite element method for beams and plates. The effects of local bucklings are studied for various size rations and end conditions of I-shaped columns. The calculated results are comparatively well consistent with values obtained from the existing studies. The global buckling characteristics calculated by the present method are in good agreement with the classical rigid web solution

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Eigenvalue Analysis of Symmetrically Stepped Beams by Equivalent Beam Transformation (대칭단헝 단순보의 등가보 변환에 의한 고유치 해석)

  • Jung Jae-Chul;Moon Sang-Pil
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.1 s.71
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    • pp.55-62
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    • 2006
  • The natural frequency of a beam plays a critical role in the dynamic analysis of beams. Especially it is a complicated and difficult task to analyse the natural frequency of a stepped beam with an irregularly varying section. The lumped mass methods, multi-degree of freedom analyses, are mainly used for the analysis of this kind of stepped beams. The accuracy of these methods are determined by the number of the partitions of elements, the number of the iterations in calculation, and the accuracy of assumed mode shapes. This study presents a method of transformation from symmetrically stepped beams to an equivalent beam and a method of the eigenvalue analysis. Appropriateness and utility of this method are demonstrated by comparing examples from other literatures and various models.

A Study on Fracture Bahavior of Composite Material Subjected to Simultaneous Deformation Mode (연립변형모드 구성된 복합재료의 파괴역학적 거동에 관한 연구)

  • 김상철
    • Magazine of the Korea Concrete Institute
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    • v.9 no.3
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    • pp.179-187
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    • 1997
  • 콘크리트는 여러 구성 성분들이 불규칙적인 배열을 이루어 형성된 복합재료이지만, 과거에는 이 재료를 하나의 단종재료로 간주하여 해석하였기 때문에, LEFM에서 사용되는 파괴인성계수만으로는 콘크리트의 파괴역학적 접근이 어렵다는 것 이외에는 파괴인성계수들의 크기의존성에 대한 이유라든가, 실험을 통해서 관측된 구조물 두께 방향으로의 서로 다른 깊이의 균열 진행 현상에 대해서는 설명하기가 어려웠다. 따라서 본 연구는 콘크리트를 하나의 복합재료로써 각각의 구성요소들이 차지하고 있는 체적비 및 배열상의 효과를 고려하여 복합재료의 파괴거동을 해석하고, 구성재료의 수와 파괴인성계수와의 상관관계를 분석하였다. 각각의 구성요소들을 연립변형모드( SD mode)로 배열시킨 조건에서 복합재료역학개념에 입각하여 해석한 결과, 일반적으로 실험이나 비선형파괴역학 해석과 같이 하중-변위곡선 상단부에서 비선형 거동이 관측되었다. 또한 임계응력확대계수( $K_IC$)나 파괴에너지($G_r$)는 구성원의 수나 보의 크기에 대해서 거의 무관한 값을 나타내지만, 임계군열선단개구변위 ($CTOD_c$)는 크기에 영향을 받음을 보여 주었다. 균열의 진행속도는 균열이 진행될수록 감소하며, 파괴인성이 작은 구성원에서부터 균열이 발생되어 결과적으로 보의 두께 방향으로 서로 다른 크기의 균열길이가 생성됨이 관측되었다.

In-Plane Buckling Analysis of Curved Beams Using DQM (미분구적법(DQM)을 이용한 곡선보의 내평면 좌굴해석)

  • Kang, Ki-Jun;Kim, Young-Woo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.7
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    • pp.2858-2864
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    • 2012
  • The differential quadrature method (DQM) is applied to computation of the eigenvalues of in-plane buckling of the curved beams. Critical moments and loads are calculated for the beam subjected to equal and opposite bending moments and uniformly distributed radial loads with various end conditions and opening angles. Results are compared with existing exact solutions where available. The DQM gives good accuracy even when only a limited number of grid points is used. More results are given for two sets of boundary conditions not considered by previous investigators for in-plane buckling: clamped-clamped and simply supported-clamped ends.

Out-of-Plane Buckling Analysis of Curved Beams Using DQM (미분구적법(DQM)을 이용한 곡선보의 외평면 좌굴해석)

  • Kang, Ki-Jun
    • Journal of the Korean Society of Safety
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    • v.17 no.4
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    • pp.189-195
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    • 2002
  • The differential quadrature method (DQM) is applied to computation of the eigenvalues of out-of-plane bucking of curved beams. Critical moments including the effect of radial stresses are calculated for a single-span wide-flange beam subjected to equal and opposite in-plane bending moments with various end conditions, and opening angles. Results are compared with existing exact solutions where available. The differential quadrature method gives good accuracy even when only a limited number of grid points is used. New results are given for two sets of boundary conditions not previously considered for this problem: clamped-clamped and clamped-simply supported ends.

In-Plane Vibration Analysis of Curved Beams Considering Shear Deformation Using DQM (전단변형이론 및 미분구적법을 이용한 곡선보의 내평면 진동해석)

  • Kang, Ki-Jun;Kim, Byeong-Sam
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.7 no.5
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    • pp.793-800
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    • 2006
  • DQM(differential quadrature method) is applied to computation of eigenvalues of the equations of motion governing the free in-plane vibration fur circular curved beams including both rotatory inertia and shear deformation. Fundamental frequencies are calculated for the members with clamped-clamped end conditions and various opening angles. The results are compared with numerical solutions by other methods for cases in which they are available. The differential quadrature method gives good accuracy even when only a limited number of grid points is used.

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Nonlinear Consolidation Model Using an Extended Power Function (확장멱함수모형을 이용한 비선헝 압밀속도 모형의 개발)

  • 원정윤;장병욱
    • Geotechnical Engineering
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    • v.14 no.5
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    • pp.181-190
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    • 1998
  • One-Dimensional Nonlinear Consolidation Model(NCM) ivas developed by using an Extended Power Function Model, which could represent the compressibility of soils. A nonlinear finite element program for NCM was developed to analyze the porewater pressure dissipation and the settlement of saturated soils. Parameters used in compressibility model could be easily obtained from conventional oedometer test data. This model has been applied to Yansan-Mulgum area for the comparison with the results of CONSOL program and that of Terzaghi theory. A Good The rates of consolidation predicted by this model and CONSOL were faster than that of conventional Tergaghi theory, for they consider the nonlinear characteristics of soils. Consolidation curves of this model were located between Terzaghi and CONSOL curves. Consolidation curves near drainage boundary, where effective stress valied rapidly, seemed to reflect the variations of compressibility of sails. Consolidation curves near drainage boundary obtained from this model were composed of two parabolic curves. Intersection of the parabolic curves occurred when effective stress reached the value of preconsolidation stress. Moreover, thin model could be used to represent the effect of magnitude of applied load. whereas CONSOL and Terazghi theory could not.

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A Derivation of a Hydrograph by Using Smoothed Dimensionless Unit Kernel Function (평활화된 무차원 단위핵함수를 이용한 단위도의 유도)

  • Seong, Kee-Won
    • Journal of Korea Water Resources Association
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    • v.41 no.6
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    • pp.559-564
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    • 2008
  • A practical method is derived for determining the unit hydrograph and S-curve from complex storm events by using a smoothed unit kernel approach. The using a unit kernel yields more convenient way of constructing a unit hydrograph and its S-curve than a conventional method. However, with use of real data, the unit kernel oscillates and is unstable so that a unit hydrograph and S-curve cannot easily obtained. The use of non-parametric ridge regression with a Laplacian matrix is suggested for deriving an event averaged unit kernel which reduces the computational efforts when dealing with the Nash instantaneous unit hydrograph as a basis of the kernel. A method changing the unit hydrograph duration is also presented. The procedure shown in this work will play an efficient role when any unit hydrograph works is involved.