• 제목/요약/키워드: Explicit time integration

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ALE 유한요소법을 이용한 유연매체의 거동해석 (Analysis of Flexible Media Using ALE Finite Element Method)

  • 지중근;장용훈;박노철;박영필
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 춘계학술대회논문집
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    • pp.247-250
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    • 2007
  • Flexible media such as the paper, the film, etc. are thin, light and very flexible. They behave in geometrically nonlinear. Any of small force makes large deformation. So we must including aerodynamic effect when its behavior is predicted. Thus, it becomes fully coupled fluid-structure interaction(FSI) problem. In FSI problems, where the fluid mesh near the structure undergoes large deformations and becomes unacceptably distorted, which drive the time step to a very small value for explicit calculations, the arbitrary Lagrangian-Eulerian(ALE) methods or rezoning are used to create a new undistorted mesh for the fluid domain, which allows the calculations to continue. In this paper, FE sheet model considering geometric nonlinearity is formulated to simulate the behavior of the flexible media. Aerodynamic force to the media by surrounding air is calculated by solving the incompressible Navier-Stokes equations. Q2Q1(Taylor-Hood) element which means biquadratic for velocity and bilinear for pressure is used for fluid domain. Q2Q1 element satisfies LBB condition and any stabilization technique is not needed. In this paper, cantilevered sheet in the viscous incompressible Navier-Stokes flow is simulated to check the mesh motion and numerical integration scheme, and then falling paper in the air is simulated and the effects of some representative parameters are investigated.

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지진해일 전파 수치모의를 위한 2차원 유한요소모형의 능동적 분산보정기법 (Active Dispersion-Correction Scheme of 2-D Finite Element Model for Simulation of Tsunami Propagation)

  • 윤성범;임채호
    • 한국해안해양공학회지
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    • 제17권1호
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    • pp.1-8
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    • 2005
  • 지진해일을 수치모의할 때 임의로 구성된 유한요소망과 양해법을 사용하면서도 Boussinesq 방정식과 같은 정도의 물리적 분산효과를 고려할 수 있는 능동적인 분산보정 2차원 유한요소모형을 개발하였다. 새로운 기법을 이용하여 계산한 수치해와 파의 분산효과를 고려한 해석해의 비교를 통해 본 연구에서 개발한 분산보정기법의 타당성을 입증하였다. 그 결과 개발된 수치모형이 상당히 정확함을 보였다.

Multiscale analysis using a coupled discrete/finite element model

  • Rojek, Jerzy;Onate, Eugenio
    • Interaction and multiscale mechanics
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    • 제1권1호
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    • pp.1-31
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    • 2008
  • The present paper presents multiscale modelling via coupling of the discrete and finite element methods. Theoretical formulation of the discrete element method using spherical or cylindrical particles has been briefly reviewed. Basic equations of the finite element method using the explicit time integration have been given. The micr-macro transition for the discrete element method has been discussed. Theoretical formulations for macroscopic stress and strain tensors have been given. Determination of macroscopic constitutive properties using dimensionless micro-macro relationships has been proposed. The formulation of the multiscale DEM/FEM model employing the DEM and FEM in different subdomains of the same body has been presented. The coupling allows the use of partially overlapping DEM and FEM subdomains. The overlap zone in the two coupling algorithms is introduced in order to provide a smooth transition from one discretization method to the other. Coupling between the DEM and FEM subdomains is provided by additional kinematic constraints imposed by means of either the Lagrange multipliers or penalty function method. The coupled DEM/FEM formulation has been implemented in the authors' own numerical program. Good performance of the numerical algorithms has been demonstrated in a number of examples.

선수 충돌시 구조거동과 충돌격벽에 미치는 영향 (Collision Response of Bow Structure and Its Affected Collision Bulkhead in Bow Collision)

  • 신영식;박명규
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2000년도 춘계학술대회 논문집
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    • pp.195-204
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    • 2000
  • In this paper a complicated structural behavior in collision and its effect of energy translation to the collision bulkhead was examined through a methodology of the numerical simulation to obtain a ideal bow construction and a location of collision bulkhead against head on collision. In the present the bow structure is normally designed in consideration of its specific structural arrangements and internal and external loads in these area such as hydrostatic and dynamic pressure, wave impact and bottom slamming in accordance with the Classification rules, and the specific location of collision bulkhead by SOLAS requirement. By these studies the behavior of the bow collapse due to collision was synthetically evaluated for the different size of tankers and its operational speed limits, and by the result of these simulation it provides the optimal design concept for the low construction to prevent the subsequent plastic deformation onto or near to the collision bulkhead boundary and to determine the rational location of collision bulkhead.

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Yaw 를 가진 긴 관통자와 경사판재의 고속충돌 수치해석 (Numerical Simulation of High-Velocity Oblique Impacts of Yawed Long Rod Projectile Against Thin-Plate)

  • 유요한
    • 대한기계학회논문집A
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    • 제26권7호
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    • pp.1426-1437
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    • 2002
  • Using the Lagrangian explicit time-integration finite element code NET3D which can treat three-dimensional high-velocity impact problems, oblique penetration processes of long rod projectile with yaw against thin plate are simulated. Through the comparison of simulation result with experimental result and other code's computational result, the adaptability and accuracy of NET3D is evaluated under the complex situation in which yaw angle and oblique angle exist simultaneously. Main research contents to be handled in this paper include the followings. First, the accuracy and efficiency estimation of NET3D code result obtained from the oblique penetration simulations of long rod projectile with yaw against thin plate. Second, the effect of increasing impact velocity. Third, the effect of initial yaw for the spaced-plate target. Residual velocities, residual lengths, angular velocities, and final deformed configurations obtained from the NET3D computations are compared with the experimental results and other code's computational results such as Eulerian code MESA and Lagrangian code EPIC. As a result of comparisons, it has been found that NET3D code is superior to EPIC code and MESA code in the prediction capability of residual velocity and residual length of penetrator. The key features obtained from the experiment can be successfully reproduced through NET3D simulations. Throughout the study, the applicability and accuracy of NET3D as a metallic armor system design tool is verified.

고속 타격단조시 발생되는 편심부하의 유한요소해석 (Finite element analysis of eccentric loading in high-velocity impact forging)

  • 유요한;양동열
    • 대한기계학회논문집A
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    • 제21권10호
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    • pp.1589-1597
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    • 1997
  • The high-velocity impact forging process with eccentric loading condition is analyzed using the explicit time integration finite element method. In order to consider the strain hardening, strain rate hardening and thermal softening effects, which are frequently observed in high-velocity deformation phenomena, the Johnson-Cook constitutive model is applied to model the workpiece. It is assumed that the material response of the dies is elastic in the study. As a result of the eccentric loading simulation, it is found that the increase of the eccentric ratio and the allowable tilting angle cause the decrease of the maximum forging load and the blow efficiency, and it is also found that the forging load and the blow efficiency generated in the high-velocity impact forging process with three-dimensional geometry can be obtained efficiently.

평균속도 개념을 적용한 상태공간에서의 과도응답해석 (A Transient Response Analysis in the State-space Applying the Average Velocity Concept)

  • 김병옥;김영철;김영춘;이안성
    • 한국소음진동공학회논문집
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    • 제14권5호
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    • pp.424-431
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    • 2004
  • An implicit direct-time integration method for obtaining transient responses of general dynamic systems is described. The conventional Newmark method cannot be directly applied to state-space first-order differential equations, which contain no explicit acceleration terms. The method proposed here is the state-space Newmark method that incorporates the average velocity concept, and can be applied to an analysis of general dynamic systems that are expressed by state-space first-order differential equations. It is also readily coded into a program. Stability and accuracy analyses indicate that the method is numerically unconditionally stable like the conventional Newmark method, and has a period error of 2nd-order accuracy for small damping and 4th-order for large damping and an amplitude error of 2nd-order, regardless of damping. In addition, its utility and validity are confirmed by two application examples. The results suggest that the proposed state-space Newmark method based on average velocity be generally applied to the analysis of transient responses of general dynamic systems with a high degree of reliability with respect to stability and accuracy.

Comparative Study on Collision Strength of LNG Carriers

  • Choe, Ick-Hung;Kim, Jae-Hyun;Ahn, Ho-Jong;Kim, Oi-Hyun
    • Journal of Ship and Ocean Technology
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    • 제5권3호
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    • pp.36-44
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    • 2001
  • The collision energy absorbing characteristics of side structure of the LNG carriers which have the cargo containment systems of the spherical and the membrane types are compared. A failure mechanism of the double hull side structures of 130, 000 $m^3$ class LNG carriers under sideways collision event has been simulated by using the detailed finite element calculations. In ship collision analysis, the finite element method based on explicit time integration has been use[1 with much success. Finite element modeling techniques for detail description of structural members antral ship motion regarding the dynamic behavior allowed to investigate the effect of bow shape and the initial contact position on side shell of collided ship. In the numerical simulations of the ship-to-ship sideways collision, the effect of the colliding bow shapes and the change of the colliding ship draft are investigated. The critical collision energy which is absorbed by a side structure of a collided ship until the fore-end of colliding ship arrives at the boundary of the cargo tank is calculated. The critical speed of specified colliding ships which can not penetrate the boundary of the LNG cargo tank of the collided ship under collision accident if evaluated.

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초탄성 거동을 고려한 NiTi 합금 튜브의 변형해석 (Finite Element Analysis of NiTi Alloy Tubes with the Superelastic Behavior)

  • 강우종
    • 한국자동차공학회논문집
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    • 제14권5호
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    • pp.100-106
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    • 2006
  • NiTi alloy known as its shape memory effect also has superelastic characteristic, which makes it possible to be elastic under large deformation. Since the tensile strength of the alloy is very high and density is low compared to carbon steel, it can be applied to lightweight structural design. In order to design structures with shape memory alloy, finite element analysis is used and a constitutive algorithm based on Aurrichio's model is added to LS-DYNA as a user subroutine. Explicit time integration and shell element formulation are used to simulate thin-walled structures. The algorithm uses Drucker-Prager type loading condition to calculate martensite volume fraction during the transformation. The implemented algorithm is verified in uni-axial loading condition and martensite phase transformation can be detected well with the algorithm. In this study, as a energy absorbing structure, thin-walled tube is modeled with finite elements and the deformation behavior is studied. Simulation results has shown that the martensite transformation was generated in loading condition. After plastic deformation reached, the load decreases linearly without reverse martensite transformation.

안정적이고 병렬화가 용이한 옷감 애니메이션 기법 (Stable and Easily Parallizable Cloth Animation Method)

  • 강영민
    • 한국정보통신학회논문지
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    • 제9권5호
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    • pp.995-1001
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    • 2005
  • 효율적인 옷감 애니메이션 생성을 위해 암시적 적분법이 표준적 접근법으로 자리 잡았다. 이 기법은 시스템의 안정성이 보장되므로 큰 시간 간격을 사용할 수 있으며, 옷감 모델의 실시간 혹은 상호작용적 애니메이션을 위한 최선의 선택으로 받아들여지고 있다. 암시적 방법이 옷감 애니메이션에 도입된 이후 다양한 종류의 암시적 적분 기반 옷감 애니메이션 기법들이 제안되었으며 일반적인 PC 환경에서 수천 개의 질점을 가진 옷감 모델을 실시간에 시뮬레이션 할 수 있는 수준에 도달해 있다. 암시적 적분법이 안정성을 보장한다는 장점을 가지지만 명시적 기법에 비해 구현이 조금 더 복잡하며 병렬화가 어렵다는 문제를 가지고 있다. 암시적 적분법을 통해 옷감 애니메이션을 생성하는 것은 대규모 희소행렬을 가진 선형 시스템을 푸는 것으로 정형화된다. 본 논문에서는 암시적 적분법의 특성을 이용하여 안정적으로 복잡한 옷감 모델의 동작을 생성하면서도 매우 쉽게 병렬화가 가능한 기법을 제안한다. 옷감 애니메이션은 동작 시뮬레이션과 함께 자체충돌을 고려해야만 사실적인 결과를 얻을 수 있다. 그런데 자체충돌 감지 역시 중요한 계산상의 병목으로 작용한다. 본 논문에서는 효율적인 자체 충돌 처리 기법도 같이 제안한다.