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The Free Vibration Analyses by Using Two Dimensional 6-Node Element and Three Dimensional 16-Node element with Modification of Gauss Sampling Point (가우스 적분점을 수정한 2차원 6-절점 요소 및 3차원 16-절점 요소에 의한 자유진동해석)

  • 김정운;경진호;권영두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.11
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    • pp.2922-2931
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    • 1994
  • We propose a modified 6-node element, where the sampling point of Gauss quadrature moved in the thickness direction. The modified 6-node element has been applied to static problems and forced motion analyses. In this study, this method is extended to the finite element analysis of the natural frequencies of two dimensional problems. We also propose a modified 16-node element for three dimensional problems, which behaves much like a 20-node element with smaller degree of freedom. The modified 6-node and 16-node elements have been applied to the modal analyses of beams and plates, respectively. The results agree well with the results of the 8-node or 20-node element models.

Proposal of the Building Outline Simplification Algorithm Considering the Building up of the digital map (수치지도 작성을 고려한 건물외곽선 단순화기법 제안)

  • Park, Woo-Jin;Park, Seung-Yong;Jo, Seong-Hwan;Yu, Ki-Yun
    • Proceedings of the Korean Association of Geographic Inforamtion Studies Conference
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    • 2008.10a
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    • pp.264-265
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    • 2008
  • 본 연구에서는 건물공사에 사용되는 CAD 도면자료를 공간데이터로 변환하기 위한 과정의 일환으로 수치지도 작성내규에 근거한 선형단순화 기법을 제안하였다. 이 기법은 외곽선의 절점들이 수치지도 작성내규의 곡선데이터 점간거리 규정에 만족할 때까지 반복적으로 절점의 구간을 늘려나가는 방식이다. 제안된 기법의 단순화효과를 비교하기 위하여 Douglas-Peucker 알고리듬 등 가장 흔히 사용되는 4개의 선형 단순화기법을 동일한 건물 외곽선에 적용하여 수치지도작성 내규 만족도, 절점수, 선길이, 면적에 대해 비교, 분석하였다. 분석결과 제안된 알고리듬의 경우 수치지도 내규 만족도 면에서 100%에 가까운 만족도를 보였으며 절점수를 효율적으로 줄이면서, 선길이, 면적의 측면에서도 다른 알고리듬들에 비해 거의 손실이 발생하지 않아 추후 건설도면의 변환에 유용하게 사용될 가능성이 높을 것으로 판단된다.

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Parallel Finite Element Analysis System Based on Domain Decomposition Method Bridges (영역분할법에 기반을 둔 병렬 유한요소해석 시스템)

  • Lee, Joon-Seong;Shioya, Ryuji;Lee, Eun-Chul;Lee, Yang-Chang
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.1
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    • pp.35-44
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    • 2009
  • This paper describes an application of domain decomposition method for parallel finite element analysis which is required to large scale 3D structural analysis. A parallel finite element method system which adopts a domain decomposition method is developed. Node is generated if its distance from existing node points is similar to the node spacing function at the point. The node spacing function is well controlled by the fuzzy knowledge processing. The Delaunay triangulation method is introduced as a basic tool for element generation. Domain decomposition method using automatic mesh generation system holds great benefits for 3D analyses. Aa parallel numerical algorithm for the finite element analyses, domain decomposition method was combined with an iterative solver, i.e. the conjugate gradient(CG) method where a whole analysis domain is fictitiously divided into a number of subdomains without overlapping. Practical performance of the present system are demonstrated through several examples.

A New Higher-Order Hybrid-Mixed Element for Curved Beam Vibrations (곡선보의 자유진동해석을 위한 고차 혼합요소)

  • Kim Jin-Gon;Park Yong-Kuk
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.2 s.72
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    • pp.151-160
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    • 2006
  • In this study, we propose a new efficient 2-noded hybrid-mixed element for curved beam vibrationshaving a uniform and non-uniform cross section. The present element considering transverse shear strain is based on Hellinger-Reissner variational principle and introduces additional nodeless degrees for displacement field interpolation in order to enhance the numerical performance. The stress parameters are eliminated by the stationary condition and then the nodeless degrees are condensed out by the Guyan reduction. In the performance evaluation process of the present field-consistent higher-order element, we carefully examine the effects of field consistency and the role of higher-order interpolation functions on the hybrid-mixed formulation. Several benchmark tests confirm e superior behavior of the present hybrid-mixed element for curved beam vibrations.

Flexural Analysis of Laminated Composite T-Beams (적층복합 T형 보의 휨 해석)

  • Back, Sung Yong
    • Journal of Korean Society of Steel Construction
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    • v.26 no.5
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    • pp.397-405
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    • 2014
  • A shear-flexible beam element is presented for the flexural analysis of laminated composite T-beams with arbitrary lay-ups. Based on the first-order shear deformable beam theory, the derived element takes into account warping shear deformation and all coupling coming from material anisotropy. Three different types of beam elements, namely, the two-noded, three-noded, and four-noded beam elements with seven degree-of-freedom per node are developed to solve governing equations. To demonstrate the versatility and accuracy of the beam element formulated, numerical results are performed for symmetric and anti-symmetric angle-ply composite T-beams under the uniformly distributed and concentrated load. The effects of fiber angle and shear deformation are investigated for different laminated stacking sequence. The quadratic and cubic elements are shown to be applicable to the flexural analysis of composite T-beams.

A Four-node General Shell Element with Drilling DOFs (면내회전자유도를 갖는 4절점 곡면 쉘요소)

  • Chung, Keun-Young;Kim, Jae-Min;Lee, Eun-Haeng
    • Journal of the Earthquake Engineering Society of Korea
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    • v.16 no.4
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    • pp.37-52
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    • 2012
  • In this study, a new 4-node general shell element with 6 DOFs per node is presented. Drilling rotational degrees of freedom are introduced by the variational principle with an independent rotation field. In formulation of the element, substitute transverse shear strain fields are used to avoid shear locking, while four nonconforming modes are applied in the in-plane displacement fields as a remedy for membrane locking. In addition, a direct modification method for nonconforming modes is employed in the numerical implementation of nonconforming modes to represent constant strain states. A 9-points integration rule is adopted for volume integration in the computation of the element stiffness matrix. With the combined use of these techniques, the developed shell element has no spurious zero energy modes, and can represent a constant strain state. Several numerical tests are carried out to evaluate the performance of the new element developed. The test results show that the behavior of the elements is satisfactory.

Experimental Analysis of Nodal Head-outflow Relationship Using a Model Water Supply Network for Pressure Driven Analysis of Water Distribution System (상수관망 압력기반 수리해석을 위한 모의 실험시설 기반 절점의 압력-유량 관계 분석)

  • Chang, Dongeil;Kang, Kihoon
    • Journal of Korean Society of Environmental Engineers
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    • v.36 no.6
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    • pp.421-428
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    • 2014
  • For the analysis of water supply network, demand-driven and pressure-driven analysis methods have been proposed. Of the two methods, demand-driven analysis (DDA) can only be used in a normal operation condition to evaluate hydraulic status of a pipe network. Under abnormal conditions, i.e., unexpected pipe destruction, or abnormal low pressure conditions, pressure-driven analysis (PDA) method should be used to estimate the suppliable flowrate at each node in a network. In order to carry out the pressure-driven analysis, head-outflow relationship (HOR), which estimates flowrate at a certain pressure at each node, should be first determined. Most previous studies empirically suggested that each node possesses its own characteristic head-outflow relationship, which, therefore, requires verification by using actual field data for proper application in PDA modeling. In this study, a model pipe network was constructed, and various operation scenarios of normal and abnormal conditions, which cannot be realized in real pipe networks, were established. Using the model network, data on pressure and flowrate at each node were obtained at each operation condition. Using the data obtained, previously proposed HOR equations were evaluated. In addition, head-outflow relationship at each node was analyzed especially under multiple pipe destruction events. By analyzing the experimental data obtained from the model network, it was found that flowrate reduction corresponding to a certain pressure drop (by pipe destruction at one or multiple points on the network) followed intrinsic head-outflow relationship of each node. By comparing the experimentally obtained head-outflow relationship with various HOR equations proposed by previous studies, the one proposed by Wagner et al. showed the best agreement with the exponential parameter, m of 3.0.

A Study of Meshless Method Programming (무요소법 프로그래밍에 관한 연구)

  • 김학수;배동명
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.38 no.2
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    • pp.110-118
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    • 2002
  • The element free Galerkin method has been suggested by Belyschko, etc. it is applied for linear elastic analysis of solid problems and its convergence characteristics and stability are shown according to the weight function, influence domain and scattered points. The various numerical examples are performed to check the efficiency of 1D EFG and 2D EFG program by changing factors. As a result it have the best results when it used the cubic spline weight function and the scaling parameter d$_{max}$=2. These programs were developed by mixed language programming method using Visual Basic and the C language. so it is fast and efficient. and visually shown the result.t.

The Forced Motion Analyses by Using Two Dimensional 6-Node and Three Dimensional 16-Node Isoparametric Elements with Modification of Gauss Sampling Point (6절점 2차원 및 16절점 3차원 등매개변수 요소의 가우스 적분점 수정을 이용한 강제진동 해석)

  • 김정운;권영두
    • Computational Structural Engineering
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    • v.8 no.4
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    • pp.87-97
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    • 1995
  • For the same configuration of two-dimensional finite element models, 6-node element exhibits stiffer bending stiffness than 8-node element. This is true in the relation between 16-node element and 20-node element for three-dimensional model. This stiffening phenomenon comes from the elimination of several mid nodes from full-node elements. Therefore, this may be called 'relative stiffness stiffening phenomenon'. It seems that there are a couple of ways to correct the stiffening effect, however, we could find only one effective method-the method of modification of Gauss sampling points-which passes the patch test and does not alter other kinds of stiffness, such as extensional stiffness. The quantity of modification is a function of Poisson's ratios of the constituent materials. We could obtain two modification equations, one for plane stress case and the other for plane strain case. This method can be extended to 3-dimensional solid elements. Except the exact plane strain cases, most 3-dimensional plates could be modeled successfully with 16-node element modified by the equation for the plane stress case. The effectiveness of the modification method is checked by applying it to several examples with excellent improvements. In numerical examples, beams with various boundary conditions are subjected to static and time-dependent loads. Free and forced motion analyses of beams and plates are also tested. The beam and plate may be composed of isotropic multilayers as well as a single layer.

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