• Title/Summary/Keyword: Numerical Computation

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알루미늄합금의 반용융 단조 및 주조공정에 관한 수치해석 (Numerical Analysis on Semi-Solid Forging and Casting Process of Aluminum Alloys)

  • 강충길;임미동
    • 소성∙가공
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    • 제6권3호
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    • pp.239-249
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    • 1997
  • The behaviour of alloys in the semi-solid state strongly depends on the imposed stress state and on the morphology of the phase which can vary from dendritic to globular. To optimal net shape forging of semi-solid materials, it is important to investigate for filling phenomena in forging process of arbitrarily shaped dies. To produce a automotive part which has good mechanical property, the filling pattern according to die velocity and solid fraction distribution has to be estimated for arbitrarily shaped dies. Therefore, the estimation of filling characteristic in the forging simulation with arbitrarily shaped dies of semi-solid materials are calculated by finite element method with proposed algorithm. The proposed theoretical model and a various boundary conditions for arbitrarily shaped dies is investigated with the coupling calculation between the liquid phase flow and the solid phase deformation. The simulation process with arbitrarily shaped dies is performed to the isothermal conditions of two dimensional problems. To analysis of forging process by using semi-solid materials, a new stress-strain relationship is described, and forging analysis is performed by viscoelastic model for the solid phase and the Darcy's law for the liquid flow. The calculated results for forging force and filling limitations will be compared to experimental data. The filling simulation of simple products performed with the uniform billet temperature(584$^{\circ}C$) from the induction heating by the commercial package MAGMAsoft. The initial step of computation is the touching of semi-solid material with the end of die gate and the initial concept of proposed system just fit with the capability of MAGMAsoft.

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유사 공진형 물체에 대한 TM 전자파의 산란계산을 위한 MLFMA방법 (MLFMA for Computation of TM Scattering from Near Resonant Object)

  • 안창회
    • 한국전자파학회논문지
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    • 제9권6호
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    • pp.735-745
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    • 1998
  • 모멘트법은 전자파산란문제에 널리 사용되고 있는데, 최근에 대용량의 문제를 빠르고 효율적으로 풀 수 있는 기법들에 대한 연구가 많이 진행되고 있다. 대부분의 이런 기법에는 계산속도나 기억용량을 효율적으로 이용할 수 있는 반복법을 사용해서 행렬방정식을 풀게 되는데, 유사공진특성을 갖는 물체에 대한 산란은 물체 내부에서 전자파가 공진하는 특성을 가지므로 반복해법올 이용하여 적분방정식을 풀 경우 수렴이 잘 되지 않거나, 수렴되기까지 많은 반복회수를 필요로 한다. 본 논문에서 사용된 MLFMA(Muli-level Fast Multipole Algorithm)는 FMM(Fast Multipole Method)을 다층으로 확장한 알고리듬으로 반복회수당 계산시간을 O(NlogN)으로 줄일 수 있다. 이 MLFMA를 유사공진형구조에 적용하고, 또한 행렬식을 블록밴드행렬 전처리를 하여 반복회수를 감소시켰다. 여기서 사용된 전처리행렬은 행렬분할법을 이용하여 O(N)의 계산시간으로 구할 수 있으므로, 미지수가 많을 때는 전처리행렬을 구하는데 드는 추가계산시간을 무시할 수 있다. 여기서 제안된 방법을 비행기의 공기유입구에 대한 TM전자파산란 계산에 적용하여 효율성을 보였다

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A novel approach to the form-finding of membrane structures using dynamic relaxation method

  • Labbafi, S. Fatemeh;Sarafrazi, S. Reza;Gholami, Hossein;Kang, Thomas H.K.
    • Advances in Computational Design
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    • 제2권3호
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    • pp.123-141
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    • 2017
  • Solving a system of linear or non-linear equations is required to analyze any kind of structures. There are many ways to solve a system of equations, and they can be classified as implicit and explicit techniques. The explicit methods eliminate round-off errors and use less memory. The dynamic relaxation method (DR) is one of the powerful and simple explicit processes. The important point is that the DR does not require to store the global stiffness matrix, for which it just uses the residual loads vector. In this paper, a new approach to the DR method is expressed. In this approach, the damping, mass and time steps are similar to those of the traditional method of dynamic relaxation. The difference of this proposed method is focused on the method of calculating the damping. The proposed method is expressed such that the time step is constant, damping is equal to zero except in steps with maximum energy and the concentrated damping can be applied to minimize the energy of system in this step. In this condition, the calculation of damping in all steps is not required. Then the volume of computation is reduced. The DR method for form-finding of membrane structures is employed in this paper. The form-finding of the three plans related to the membrane structures with different loading is considered to investigate the efficiency of the proposed method. The numerical results show that the convergence rate based on the proposed method increases in all cases than other methods.

Elevated temperature resistance of concrete columns with axial loading

  • Alaskar, Abdulaziz;Alyousef, Rayed;Alabduljabbar, Hisham;Alrshoudi, Fahed;Mohamed, Abdeliazim Mustafa;Jermsittiparsert, Kittisak;Ho, Lanh Si
    • Advances in concrete construction
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    • 제9권4호
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    • pp.355-365
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    • 2020
  • The influence of temperature on the material of concrete filled columns (CFCs) under axial loading has been quantitatively studied in this research. CFCs have many various advantages and disadvantages. One of the important inefficiency of classic CFCs design is the practical lack of hooped compression under the operational loads because of the fewer variables of Poisson's rate of concrete compared to steel. This is the reason why the holder tends to break away from the concrete core in elastic stage. It is also suggested to produce concrete filled steel tube columns with an initial compressed concrete core to surpass their design. Elevated temperatures have essentially reduced the strengths of steel tubes and the final capacity of CFCs exposed to fire. Thus, the computation of bearing capacity of concrete filled steel tube columns is studied here. Sometimes, the structures of concrete could be exposed to the high temperatures during altered times, accordingly, outcomes have shown a decrement in compressive-strength, then an increase with the reduction of this content. In addition, the moisture content at the minimal strength is declined with temperature rising. According to Finite Element (FE), the column performance assessment is carried out according to the axial load carrying capacities and the improvement of ductility and strength because of limitations. Self-stress could significantly develop the ultimate stiffness and capacity of concrete columns. In addition, the design equations for the ultimate capacity of concrete columns have been offered and the predictions satisfactorily agree with the numerical results. The proposed based model (FE model of PEC column) 65% aligns with the concrete exposed to high temperature. Therefore, computed solutions have represented a better perception of structural and thermal responses of CFC in fire.

계층적 축대칭요소에 의한 P-version모델 (P-Version Model Based on Hierarchical Axisymmetric Element)

  • 우광성;장용채;정우성
    • 대한토목학회논문집
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    • 제12권4_1호
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    • pp.67-76
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    • 1992
  • 축대칭(軸對稱) 선형강성(線形彈性) 응력해석을 위해 p-version 유한요소법에 기초한 계층적(階層的) 정식화 과정이 제안되었다. 이 방식은 적분형 르장드르 다항식을 사용하여 절점좌표값을 갖지 않는 절점을 추가하여 형상함수의 조합형태로 변위함수(變位)를 근사시키는 방법이다. 형상함수(形狀函數)가 계층적 성질을 갖기 때문에 강성도(剛性度)행렬과 하중벡터도 계층적이 된다. 본 연구에서 제안된 요소(要所)의 장점(長點)은 다음과 같다. 첫째, 개선된 수치연산의 효율성이며 둘째, 요소간에 서로 다른 차수(次數)의 형상함수를 사용할 수 있고 셋째, p-세분화를 할 때 저차(低次)일 때 계산된 값을 그대로 사용할 수 있다. 수치예제를 통해 제안된 요소의 정확도(正確度), 효율성(效率性), 모델링의 간편성(簡便性), 적용성(適用性) 및 변위와 응력 그리고 에너지 Norm등을 사용하여 그 우월성을 입증하고 있다. 몇 가지 예제의 해석결과는 이미 발표된 논문과 아울러 해석적 방법에 의한 결과와 비교되었다.

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덕트내 요철의 단락위치 변화에 따른 열/물질전달 및 압력강하 특성 - 정렬 단락배열 요철 - (Heat/Mass Transfer and Friction Characteristic in a Square Duct with Various Discrete Ribs -In-Lined Gap Arrangement Ribs-)

  • 이세영;최청;이동호;조형희
    • 대한기계학회논문집B
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    • 제25권11호
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    • pp.1640-1649
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    • 2001
  • The present study investigates the effects of various rib arrangements on heat/mass transfer in the cooling passage of gas turbine blades. A complex flow structure occurs in the cooling passage with rib turbulators which promote heat transfer on the wall. It is important to increase not only the heat transfer rates but also the uniformity of heat transfer in the cooling passage. A numerical computation is performed using a commercial code to calculate the flow structures and experiments are conducted to measure heat/mass transfer coefficients using a naphthalene sublimation technique. A square channel (50 mm $\times$ 50 mm) with rectangular ribs (4 mm $\times$ 5 mm) is used fur the stationary duct test. The experiments focus on the effects of rib arrangements and gap positions in the discrete ribs on the heat/mass transfer on the duct wall. The rib angle of attack is 60°and the rib-to-rib pitch is 32 mm, that is 8 times of the rib height. With the inclined rib angle of attack (60°), the parallel rib arrangements make a pair of counter rotating secondary flows in the cross section, but the cross rib arrangements make a single large secondary flow including a small secondary vortex. These secondary flow patterns affect significantly the heat/mass transfer on the ribbed wall. The heat/mass transfer in the parallel arrangements is 1.5 ∼2 times higher than that in the cross arrangements. However, the shifted rib arrangements change little the heat/mass transfer from the inline rib arrangements. The gap position in the discrete rib affects significantly the heat/mass transfer because a strong flow acceleration occurs locally through the gap.

DOProC-based reliability analysis of structures

  • Janas, Petr;Krejsa, Martin;Sejnoha, Jiri;Krejsa, Vlastimil
    • Structural Engineering and Mechanics
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    • 제64권4호
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    • pp.413-426
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    • 2017
  • Probabilistic methods are used in engineering where a computational model contains random variables. The proposed method under development: Direct Optimized Probabilistic Calculation (DOProC) is highly efficient in terms of computation time and solution accuracy and is mostly faster than in case of other standard probabilistic methods. The novelty of the DOProC lies in an optimized numerical integration that easily handles both correlated and statistically independent random variables and does not require any simulation or approximation technique. DOProC is demonstrated by a collection of deliberately selected simple examples (i) to illustrate the efficiency of individual optimization levels and (ii) to verify it against other highly regarded probabilistic methods (e.g., Monte Carlo). Efficiency and other benefits of the proposed method are grounded on a comparative case study carried out using both the DOProC and MC techniques. The algorithm has been implemented in mentioned software applications, and has been used effectively several times in solving probabilistic tasks and in probabilistic reliability assessment of structures. The article summarizes the principles of this method and demonstrates its basic possibilities on simple examples. The paper presents unpublished details of probabilistic computations based on this method, including a reliability assessment, which provides the user with the probability of failure affected by statistically dependent input random variables. The study also mentions the potential of the optimization procedures under development, including an analysis of their effectiveness on the example of the reliability assessment of a slender column.

수직 배치형 컨테이너 터미널 반입작업에서 수출 컨테이너의 작업순서와 장치위치 통합 의사결정 (Integrated Decision-making for Sequencing and Storage Location of Export Containers at a Receiving Operation in the Container Terminal with a Perpendicular Layout)

  • 배종욱;박영만
    • 한국항해항만학회지
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    • 제35권8호
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    • pp.657-665
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    • 2011
  • 본 연구는 수직 배치형 컨테이너 터미널에서 반입되는 수출 컨테이너의 작업순서와 장치위치를 결정하는 통합 문제를 다루었다. 수출 컨테이너에 대한 선호 장치위치는 대응하는 본선작업의 우선순위와 밀접하고 외부 트럭들의 대기시간은 장치 소요시간에 좌우된다. 본 연구는 외부 트럭들의 예정도착시간과 예정완료시간 그리고 적하작업의 선호 장치위치를 고려한 혼합정수모형을 제시하였다. 그리고 현장 적용을 위해 시뮬레이티드 어닐링에 기반한 휴리스틱 알고리즘을 개발하였다. 목적 함수값과 계산시간의 관점에서 최적 모형과 휴리스틱 알고리즘을 비교하였고 수치실행을 통해 휴리스틱 알고리즘의 수행도를 분석하였다.

부선의 파랑중 저항 증가에 관한 연구 (Study on the Added Resistance of Barge in Waves)

  • 안병길;이상민
    • 한국항해항만학회지
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    • 제34권10호
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    • pp.741-746
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    • 2010
  • 선박이 파랑중을 항행할 경우에는 정수중에 비하여 저항이 증가하기 때문에 예부선의 안정성 확보를 위해 예선의 예인마력과 예인삭의 절단하중 등을 산정할 때에 부선의 정수중 저항값 및 파랑중 저항값을 정확히 추정해야 안전한 예항업무를 이행할 수 있다. 현재 정부에서 제안하고 있는 방법에 의하면 부선의 전저항 산정시 마찰저항, 조파저항, 공기저항은 선체의 형상 및 예선의 속력 등을 고려하여 산정하지만 부가저항은 유의파고에 따라 일률적으로 적용하고 있다. 본 연구에서는 파랑중 부가저항 추정을 위해 수치계산을 실시하여 wigley 선형에 대한 기존의 실험 데이터와 상호 비교함으로서 본 계산법의 유효성을 검증하고, 검증된 수치계산법을 토대로 실무에서 많이 사용되고 있는 두개의 부선 모델을 대상으로 계산을 실행한 결과 부선의 부가저항은 파도와의 만남각에 따라 약 0.3∼1.1톤, 예인속력에 따라 약 0.4∼1.2톤, 선수형상에 따라 약 0.5∼1.1톤으로 차이가 발생함을 확인하였다.

판으로 나뉘어진 2차원 충류 채널유동에서 동적 유체-구조물 상호작용 수치해석 (Computation of Dynamic Fluid-Structure Interaction in a 2-Dimensional Laminar Channel Flow Divided by a Plate)

  • 남궁각;최형권;유정열
    • 대한기계학회논문집B
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    • 제26권12호
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    • pp.1738-1746
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    • 2002
  • In the FSI (Fluid-Structure Interaction) problems, two different governing equations are to be solved together. One is fur the fluid and the other for the structure. Furthermore, a kinematic constraint should be imposed along the boundary between the fluid and the structure. We use the combined formulation, which incorporates both the fluid and structure equations of motion into a single coupled variational equation so that it is not necessary to calculate the fluid force on the surface of structure explicitly when solving the equations of motion of the structure. A two-dimensional channel flow divided by a Bernoulli-Euler beam is considered and the dynamic response of the beam under the influence of channel flow is studied. The Navier-Stokes equations are solved using a P2P1 Galerkin finite element method with ALE (Arbitrary Lagrangian-Eulerian) algorithm. The internal structural damping effect is not considered in this study and numerical results are compared with a previous work fer steady case. In addition to the Reynolds number, two non-dimensional parameters, which govern this fluid-structure system, are proposed. It is found that the larger the dynamic viscosity and density of the fluid are, the larger the damping of the beam is. Also, the added mass is found to be linearly proportional to the density of the fluid.