• 제목/요약/키워드: Node discretization

검색결과 32건 처리시간 0.022초

효율적인 노드분할법을 통한 임의 결선된 전송선로상의 고속 펄스 전송 해석 (Analysis of High-Speed Pulse Propagation on Arbitrarily Interconnected Transmission Lines by an Efficient Node Discretization Technique)

  • 전상재;박의준
    • 대한전자공학회논문지TC
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    • 제40권1호
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    • pp.37-46
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    • 2003
  • 임의로 결선된 디지털 전송선로의 과도응답을 효율적인 노드분할 기법을 사용하여 분석하였다. 제시한 노드분할 기법은 전송선로를 분할하여 해석할 수 있도록 하므로서 연결선의 임의 위치에서의 과도파형을 쉽게 예측할 수 있다. 일반성을 보이기 위해 임의로 연결된 분산특성을 갖는 마이크로스트립 다도체 전송선로들을 예로 들어 분석하였다. 결합선로의 주파수의존성 등가 회로정수들은 스펙트럼 영역 기법(SDA)을 사용하여 도출하였다. 고속 마이크로스트립 결합선로 상에 인가되는 펄스의 펄스폭 변화가 누화에 미치는 영향도 동시에 검토하였다. 선로의 길이와 기판 유전율이 증가하면 누화 피크값이 단조롭게 증가한다는 기존의 결과와는 달리 펄스폭이 수 ps에 이르면 오히려 감소하는 특성을 볼 수 있었다. 제시한 노드분할 기법을 사용한 결과를 일반화된 S-행렬 기법을 사용한 결과와 비교하므로서 타당성을 보였다.

Incompatible 3-node interpolation for gradient-dependent plasticity

  • Chen, G.;Baker, G.
    • Structural Engineering and Mechanics
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    • 제17권1호
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    • pp.87-97
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    • 2004
  • In gradient-dependent plasticity theory, the yield strength depends on the Laplacian of an equivalent plastic strain measure (hardening parameter), and the consistency condition results in a differential equation with respect to the plastic multiplier. The plastic multiplier is then discretized in addition to the usual discretization of the displacements, and the consistency condition is solved simultaneously with the equilibrium equations. The disadvantage is that the plastic multiplier requires a Hermitian interpolation that has four degrees of freedom at each node. Instead of using a Hermitian interpolation, in this article, a 3-node incompatible (trigonometric) interpolation is proposed for the plastic multiplier. This incompatible interpolation uses only the function values of each node, but it is continuous across element boundaries and its second-order derivatives exist within the elements. It greatly reduces the degrees of freedom for a problem, and is shown through a numerical example on localization to yield good results.

대용량 데이터를 위한 전역적 범주화를 이용한 결정 트리의 순차적 생성 (Incremental Generation of A Decision Tree Using Global Discretization For Large Data)

  • 한경식;이수원
    • 정보처리학회논문지B
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    • 제12B권4호
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    • pp.487-498
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    • 2005
  • 최근 들어, 대용량의 데이터를 처리할 수 있는 트리 생성 방법에 많은 관심이 집중되고 있다 그러나 대용량 데이터를 위한 대부분의 알고리즘은 일괄처리 방식으로 데이터를 처리하기 때문에 새로운 데이터가 추가되면 이 데이터를 반영한 결정 트리를 생성하기 위해 처음부터 트리를 다시 생성해야 하다. 이러한 재생성에 따른 비용문제에 보다 효율적인 접근 방법은 결정 트리를 순차적으로 생성하는 접근 방법이다. 대표적인 알고리즘으로 BOAT와 ITI를 들 수 있으며 이들 알고리즘은 수치형 데이터 처리를 위해 지역적 범주화를 이용한다. 그러나 범주화는 정렬된 형태의 수치형 데이터를 요구하기 때문에 대용량 데이터를 처리해야하는 상황에서 전체 데이터에 대해 한번만 정렬을 수행하는 전역적 범주화 기법이 모든 노드에서 매번 정렬을 수행하는 지역적 범주화보다 적합하다. 본 논문은 수치형 데이터 처리를 위해 전역적 범주화를 이용하여 생성된 트리를 효율적으로 재생성하는 순차적 트리 생성 방법을 제안한다. 새로운 데이터가 추가될 경우, 전역적 범주화에 기반 한 트리를 순차적으로 생성하기 위해서는 첫째, 이 새로운 데이터가 반영된 범주를 재생성해야 하며, 둘째, 범주 변화에 맞게 트리의 구조를 변화시켜야한다. 본 논문에서는 효율적인 범주 재생성을 위해 샘플 분할 포인트를 추출하고 이로부터 범주화를 수행하는 기법을 제안하며 범주 변화에 맞는 트리 구조 변화를 위해 신뢰구간과 트리 재구조화기법을 이용한다. 본 논문에서 피플 데이터베이스를 이용하여 기존의 지역적 범주화를 이용한 경우와 비교 실험하였다.

An efficient finite element modeling of dynamic crack propagation using a moving node element

  • Kwon, Y.W.;Christy, C.
    • Structural Engineering and Mechanics
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    • 제2권2호
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    • pp.173-184
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    • 1994
  • The objective of this study was to develop a simple and efficient numerical modeling technique for dynamic crack propagation using the finite element method. The study focused on the analysis of a rapidly propagation crack in an elastic body. As already known, discrete crack tip advance with the stationary node procedure results in spurious oscillation in the calculated energy terms. To reduce the spurious oscillation, a simple and efficient moving node procedure is proposed. The procedure does require neither remeshing the discretization nor distorting the original mesh. Two different central difference schemes are also evaluated and compared for dynamic crack propagation problem.

전 속도영역 유동을 위한 비정렬격자 압력기반해법 (Unstructured Pressure Based Method for All Speed Flows)

  • 최형일;이도형;맹주성
    • 대한기계학회논문집B
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    • 제26권11호
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    • pp.1521-1530
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    • 2002
  • This article proposes a pressure based method for predicting flows at all speeds. The compressible SIMPLE algorithm is extended to unstructured grid framework. Convection terms are discretized using second-order scheme with deferred correction approach. Diffusion term discretization is based on structured grid analogy that can be easily adopted to hybrid unstructured grid solver. This method also uses node centered scheme with edge based data structure for memory and computing time efficiency of arbitrary grid types. Both incompressible and compressible benchmark problems are solved using the above methodology. The demonstration of this method is extended to slip flow problem that has low Reynolds number but compressibility effect. It is shown that the proposed method can improve efficiency in memory usage and computing time without losing any accuracy.

On the free vibration response of laminated composite plates via FEM

  • Sehoul, Mohammed;Benguediab, Soumia;Benguediab, Mohamed;Selim, Mahmoud M.;Bourada, Fouad;Tounsi, Abdelouahed;Hussain, Muzamal
    • Steel and Composite Structures
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    • 제39권2호
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    • pp.149-158
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    • 2021
  • In this research paper, the free vibrational response of laminated composite plates is investigated using a non-polynomial refined shear deformation theory (NP-RSDT). The most interesting feature of this theory is the parabolic distribution of transverse shear deformations while ensuring the conditions of nullity of shear stresses at the free surfaces of the plate without requiring the Shear correction factor "Ks". A fourth-nodded isoparametric element with four degrees of freedom per node is employed for laminated composite plates. The numerical analysis of simply supported square anti-symmetric cross-ply and angle-ply laminated plate is carried out using a special discretization based on four-node finite element method which four degrees of freedom per node. Several numerical results are presented to show the effect of the coupling parameters of the plate such as the modulus ratios, the thickness ratio and the plate layers number on adimensional eigen frequencies. All numerical results presented using the current finite element method (FEM) is presented in 3D curve form.

응답계수(應答係數)를 이용(利用)한 건물벽에서의 열부하(熱負荷) 계산(計算) (Thermal Load Calculations on Stud-Frame Walls by Response Coefficient Method)

  • 황영규;박이동
    • 대한설비공학회지:설비저널
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    • 제17권4호
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    • pp.357-368
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    • 1988
  • An application of thermal response coefficient method for obtaining thermal load on stud-frame walls in a typical house is presented. A set of stud-frame walls is two-dimensional heat conduction transients with composite structure. The ambient temperature on the right-hand face of the stud-frame walls is a typical day-cycle input and the room temperature on the left-hand face is a constant input. The desired output is thermal load at the left-hand face. The time-dependent ambient temperature is approximated by a continuous, piecewise-linear function each having one hour interval. The conduction problem is spatially discretized as 8 computer modelings by finite elements to obtain thermal response coefficients. The discretization and round-off errors can be neglected in the range of adequate number of nodes. A 60-node discretization is recommended as the optimum model among 8 computer modelings. Several sets of response coefficients of the stud-frame walls are generated by which the rate of heat transfer through the walls or some temperature in the walls can be calculated for different input histories.

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A variational nodal formulation for multi-dimensional unstructured neutron diffusion problems

  • Qizheng Sun ;Wei Xiao;Xiangyue Li ;Han Yin;Tengfei Zhang ;Xiaojing Liu
    • Nuclear Engineering and Technology
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    • 제55권6호
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    • pp.2172-2194
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    • 2023
  • A variational nodal method (VNM) with unstructured-mesh is presented for solving steady-state and dynamic neutron diffusion equations. Orthogonal polynomials are employed for spatial discretization, and the stiffness confinement method (SCM) is implemented for temporal discretization. Coordinate transformation relations are derived to map unstructured triangular nodes to a standard node. Methods for constructing triangular prism space trial functions and identifying unique nodes are elaborated. Additionally, the partitioned matrix (PM) and generalized partitioned matrix (GPM) methods are proposed to accelerate the within-group and power iterations. Neutron diffusion problems with different fuel assembly geometries validate the method. With less than 5 pcm eigenvalue (keff) error and 1% relative power error, the accuracy is comparable to reference methods. In addition, a test case based on the kilowatt heat pipe reactor, KRUSTY, is created, simulated, and evaluated to illustrate the method's precision and geometrical flexibility. The Dodds problem with a step transient perturbation proves that the SCM allows for sufficiently accurate power predictions even with a large time-step of approximately 0.1 s. In addition, combining the PM and GPM results in a speedup ratio of 2-3.

An incompatible 3D solid element for structural analysis at elevated temperatures

  • Yu, Xinmeng;Zha, Xiaoxiong;Huang, Zhaohui
    • Structural Engineering and Mechanics
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    • 제40권3호
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    • pp.393-410
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    • 2011
  • The eight-node 3D solid element is one of the most extensively used elements in computational mechanics. This is due to its simple shape and easy of discretization. However, due to the parasitic shear locking, it should not be used to simulate the behaviour of structural members in bending dominant conditions. Previous researches have indicated that the introduction of incompatible mode into the displacement field of the solid element could significantly reduce the shear locking phenomenon. In this study, an incompatible mode eight-node solid element, which considers both geometric and material nonlinearities, is developed for modelling of structural members at elevated temperatures. An algorithm is developed to extend the state determination procedure at ambient temperature to elevated temperatures overcoming initially converged stress locking when the external load is kept constant. Numerical studies show that this incompatible element is superior in terms of convergence, mesh insensitivity and reducing shear locking. It is also showed that the solid element model developed in this paper can be used to model structural behaviour at both ambient and elevated temperatures.

MLS 유한차분법을 이용한 복합재료의 열전달문제 해석 (Heat Transfer Analysis of Composite Materials Using MLS Finite Difference Method)

  • 윤영철
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2008년도 정기 학술대회
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    • pp.2-7
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    • 2008
  • A highly efficient moving least squares finite difference method (MLS FDM) for heat transfer analysis of composite material with interface. In the MLS FDM, governing differential equations are directly discretized at each node. No grid structure is required in the solution procedure. The discretization of governing equations are done by Taylor expansion based on moving least squares method. A wedge function is designed for the modeling of the derivative jump across the interface. Numerical examples showed that the numerical scheme shows very good computational efficiency together with high aocuracy so that the scheme for heat transfer problem with different heat conductivities was successfully verified.

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