• 제목/요약/키워드: Finite element equation

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S. I. 기법을 이용한 유한요소모델의 신뢰도 제고에 관한 연구 (A Study on Improving the Accuracy of Finite Element Modeling Using System Identification Technique)

  • 양경택
    • 전산구조공학
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    • 제10권2호
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    • pp.149-160
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    • 1997
  • 본 연구에서는 경계부 및 연결부를 지닌 기계 구조물의 유한요소모델 수립시 상대적으로 불확실성이 많은 경계부 및 연결부를 정확히 모델링하여 전체 구조계에 대한 해석적 모델의 신뢰도를 제고하는데 그 목적을 두고, 현장에서 간단히 측정할 수 있는 측정 데이터와 축약된 형태의 유한요소모델을 이용하는 S.I.기법을 제시하였다. 제시된 방법은 연결부를 제외한 연속체를 유한요소법으로 모델링하고 연결부의 동적 계수를 변수 상태로 하여 시간 영역에서의 비선형 상태 방정식을 구성하였으며 계수 규명 문제를 비선형 상태 방정식의 상태 추정 문제로 변환하여 해결하였다. 두 가지 예제에 대한 수치 해석을 통하여 제시된 기법의 타당성을 검증하였다.

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축방향 경계 조건을 고려한 두꺼운 실린더의 점소성 응력해 (Viscoplastic Solution of Thick Walled Cylinder Considering Axial Constraint)

  • 윤삼손;이순복
    • 대한기계학회논문집A
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    • 제27권9호
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    • pp.1555-1561
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    • 2003
  • Finite element analysis using modern constitutive equation is one of the most general tools to simulate the deformation behavior and to predict the life of the structure. Constitutive equation becomes complicated so as to predict the material behavior more accurately than the classical models. Because of the complexity of constitutive model, numerical treatment becomes so difficult that the calculation should be verified carefully. One-element tests, simple tension or simple shear, are usually used to verify the accuracy of finite element analysis using complicated constitutive model. Since this test is mainly focused on the time integration scheme, it is also necessary to verify the equilibrium iteration using material stiffness matrix and to compare FE results with solution of structures. In this investigation, viscoplastic solution of thick walled cylinder was derived considering axial constraints and was compared with the finite element analysis. All the numerical solutions showed a good coincidence with FE results. This numerical solution can be used as a verification tool for newly developed FE code with complicated constitutive model.

종방향 진동해석에 비구조적 유한요소 적용 (Application of the Unstructured Finite Element to Longitudinal Vibration Analysis)

  • 김치경
    • 한국전산구조공학회논문집
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    • 제19권1호
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    • pp.39-46
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    • 2006
  • 본 연구는 파 해석에 있어서 공간-시간 분할 개념을 도입하여 켈러킨 방법으로 해석하였다. 공간-시간 유한요소법은 오직 공간에 대해서만 분할하는 일반적인 유한요소법보다 간편하다. 비교적 큰 시간간격에 대해서 공간과 시간을 동시에 분할하는 방법을 제시하며 가중잔차법이 공간-시간 영역에서 유한요소 정식화에 이용되었다. 큰 시간 간격으로 인하여 문제의 해가 발산하는 경우가 동적인 문제에서 흔히 발생한다. 이러한 결점을 보완한 사각형 공간-시간 요소를 취하여 문제를 해석하고 해의 안정에 대해 기술하였다. 다수의 수치해석을 통하여 이 방법이 효과적 임을 알 수 있었다.

스펙트럴유한요소법과 경계요소법을 이용한 셸의 공기 중 진동 및 방사소음 해석 (Analysis of Vibration and Radiated Noise of Circular Cylindrical Shell in the Air Using Spectral Finite Element Method and Boundary Element Method)

  • 이영구;홍석윤;송지훈
    • 한국소음진동공학회논문집
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    • 제19권11호
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    • pp.1192-1201
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    • 2009
  • Analysis of the vibration characteristic for cylindrical shell is more complex than plates since the coupling effects are considered on three dimensions. Based on Love's equation, spectral finite element method(SFEM) is introduced to predict frequency response function of finite circular cylindrical shell in the air with simply supported - free boundary condition without simplifying the equation of motion. And for the radiated noise analysis of cylindrical shell, indirect boundary element method(BEM) is applied using out-of-plane displacements as an input from structural vibration analysis. Comparisons of the structural vibration results by the spectral finite element method and commercial code, NASTRAN(FEM based) are carried out. Likewise, for verification of radiated noise analysis results, commercial code, SYSNOISE(BEM based) are used.

A MULTIGRID METHOD FOR AN OPTIMAL CONTROL PROBLEM OF A DIFFUSION-CONVECTION EQUATION

  • Baek, Hun-Ki;Kim, Sang-Dong;Lee, Hyung-Chun
    • 대한수학회지
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    • 제47권1호
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    • pp.83-100
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    • 2010
  • In this article, an optimal control problem associated with convection-diffusion equation is considered. Using Lagrange multiplier, the optimality system is obtained. The derived optimal system becomes coupled, non-symmetric partial differential equations. For discretizations and implementations, the finite element multigrid V-cycle is employed. The convergence analysis of finite element multigrid methods for the derived optimal system is shown. Some numerical simulations are performed.

뉴럴네트워크를 통한 Poisson Boltzmann 방정식의 시뮬레이션 (Neural Network Based Simulation of Poisson Boltzmann Equation)

  • 조광현;신광성
    • 한국정보통신학회:학술대회논문집
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    • 한국정보통신학회 2021년도 추계학술대회
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    • pp.138-139
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    • 2021
  • 본 논문에서 뉴럴 네트워크를 활용하여 포아즌 볼츠만 방정식을 푸는 방법을 소개하려 한다. 기존의 유한요소방법을 사용하여 샘플을 생성하고, 생성된 샘플을 이용하여 뉴럴 네트워크를 훈련시킨다. 결과적으로 얻어진 뉴럴 네트워크의 성능을 소개한다.

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유한 요소 해석을 활용한 공작기계 이송축 열적 특성 평가 (Evaluation of Thermal Characteristics for a Feeding Axis of Machine Tools Using Finite Element Analysis)

  • 이창훈;최진우
    • 한국생산제조학회지
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    • 제22권3호
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    • pp.380-387
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    • 2013
  • In this study, two finite element (FE) models were developed to evaluate the thermal characteristics of a feeding axis of a CNC lathe. One was used for analysis of heat transfer to identify the temperature distribution of the feeding axis and then, the other was used for analysis of thermal deformation to evaluate its structural behavior based on the temperature distribution. The FE models were based on the test standard for the axial thermal displacement. The feeding velocity was composed of three steps: the ascending, constant, and descending velocities. Therefore, the heat generation and convection coefficient were calculated for each velocity and applied to the thermal FE model. The convection coefficient for the ball screw rotation was based on an experimental equation. The result of the analytical thermal displacement was compared with that of the experimental displacement to verify the finite element models.

형상 충전 기법을 이용한 자유표면의 비정상 점성 유동장의 유한 요소 해석 (Finite Element Analysis of Transient Viscous Flow with Free Surface using Filling Pattern Technique)

  • 김기돈;정준호;양동열
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집B
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    • pp.551-556
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    • 2001
  • The filling pattern technique based on the finite element method and Eulerian mesh advancement approach has been developed to analyze incompressible transient viscous flow with free surfaces. The governing equation for flow analysis is Navier-Stokes equation including inertia and gravity effects. The penalty and predictor-corrector methods are used effectively for finite element formulation. The flow front surface and the volume inflow rate are calculated using the filling pattern technique to select an adequate pattern among four filling patterns at each triangular control volume. Using the proposed numerical technique, the collapse of a dam has been analyzed to predict flow phenomenon of fluid and the predicted front positions versus time have been compared with the reported experimental result.

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탄소강의 펄라이트 변태에 대한 유한요소 해석 (Finite Element Analysis for Pearlite Transformation of Carbon Steel)

  • 탄소강
    • 한국생산제조학회지
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    • 제9권3호
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    • pp.69-75
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    • 2000
  • The object of the research is to estimate for pearlite structure of quenched carbon steels. The effects of temperature on physical properties metallic structures and the latent heat by phase transformation were considered. In this study a set of constitutive equations relevant to the analysis of thermo-elasto plastic materials with pearlite phase transformation during quenching process way presented on the basis of continuum thermo-dynamics. The iso-thermal transformation curve of the SM50C was formlated by cubic spline curve. The formulated equations of evolution in pearlite transformation was used for structure analysis. The volume fraction of pearlite was obtained from the results of calculated metallic structure by Finite element equation.

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로터-베어링 시스템의 훨링속도 해석을 위한 유한요소 정식화 (Finite Element Formulations of the Rotor-Bearing System for Whirl Speed Analysis)

  • 윤성호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.625-630
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    • 2007
  • This paper accounts for derivations and formulations of the finite element dynamic equation of the rotor-bearing system to analyze its whirling speed. It turns out to be a different form from previous researcher's because of different successive sequences of Euler angles. Correspondingly the adoption of other rotation tensor will be needed for a consistent derivation of the dynamic equation. The process of its finite element formulation with consistent mass matrix and gyroscopic matrix involves a general definition of the modal analysis or the Eigen analysis for the damped system in the inertial frame and rotating frame, respectively.

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