• 정보처리학회논문지A
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• 제16A권6호
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• pp.419-426
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• 2009

일반적으로 사실성 있는 유체를 시뮬레이션하기 위해 Navier-Stokes 방정식을 사용한다. Euler 구조에서 Navier-Stokes 방정식을 풀 때, 이 류항은 비선형이어서 계산이 복잡하기 때문에 근사화한 모델로 Semi-Lagrangian 방법을 사용한다. Semi-Lagrangian 방법에서는 먼저 이류하 는 위치를추적하고, 추적한 위치에서 값을 보간해서 사용한다. Stam이 제안한 방법으로 계산할 경우, 이 과정에서 수치적 소실이 많이 발생하 기 때문에 수치적 소실을 보정하려는 노력들이 있어 왔다. 그러나 대부분의 경우에 보간하는 과정에서의 소실을 줄이려는 노력이거나, 입자를 같이 사용하는 방법이었다. 따라서 본 논문에서는 Euler 구조에서 다른 추가나 변형을 가하지 않고 이류항의 연산에서 추적법을 개선함으로 수 치적 소실을 줄이는 방법을 제안한다. 우리의 방법에서는 현재 격자의 속도로 역추적하는 기존의 방법이 아니라, 현재의 격자로 오게 될 속도 를 가진 격자를 찾아서, 그 격자의 물리량들을 선형 보간하여 사용한다. 이는 직관적으로 생각할 때, 어느 지점의 물리량은 그 지점의 속도로 인해 다음 단계에 다른 지점에 있게 된다는 사실을 그대로 적용한 것이다. 본 논문에서 제안한 방법으로 기체를 시뮬레이션 했을 때 수치적 소 실이 줄었으며, 그로 인해 사실성을 높이면서도 실시간 처리가 가능했다.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2002년도 추계학술대회논문초록집
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• pp.373.2-373
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• 2002

This research is concerned with dynamic modeling of satellite with deployable solar arrays equipped with strain energy hinges (SEH). It is found from experiments that the SEH has nonlinear dynamic characteristics and complex buckling behavior, which is difficult to explain theoretically In this paper, we use an equivalent one dimensional nonlinear torsional spring for the SEH. Lagrangian equations of motion are used for the derivations.

• Smart Structures and Systems
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• 제2권4호
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• pp.313-320
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• 2006

The reliability analysis of structures subjected to stochastic loading involves evaluation of time and probability of the system's residence in a reference domain. In this paper, we derive an asymptotic estimate of exit time for multi-degrees-of-freedom structural systems. The system's dynamics is governed by the Lagrangian equations with linear dissipation and fast additive noise. The logarithmic asymptotic of exit time is found explicitly as a sum of two terms dependent on kinetic and potential energy of the system, respectively. As an example, we estimate exit time and an associated structural performance for a rocking structure.

• 한국지반공학회논문집
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• 제16권4호
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• pp.191-199
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• 2000

본 연구에서는 피에조콘 시험의 유한요소해석을 수행하였다. 이를 위하여 점탄소성 bounding surface 모델, 가상일의 방정식(virtual work equation) 및 theory of mixtures를 Updated Lagrangian reference frame에서 formulation하였다. 결과적으로 구성된 유한요소 formulation을 컴퓨터 프로그래밍 하였으며 유한요소해석에서 얻은 콘 저항치, 과잉간극수압 및 간극수압소산 등의 결과를 실험치와 비교 분석하였으며 피에조콘 주변의 응력, 변형율 및 과잉간극수압의 contour를 유한요소해석에서 구하여 이를 고찰하였다. 비등방성 및 점성이 추가된 구성모델을 사용함으로서 응력의 비등방성 및 관입속도를 효과적으로 simulation할 수 있었다. 유한요소 Formulation 과정은 'I' 결과는 'II'에서 설명된다.

• Structural Engineering and Mechanics
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• 제12권1호
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• pp.35-50
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• 2001

A numerical methodology is presented in this paper for the geometrically non-linear analysis of slender uni-dimensional structural elements under unilateral contact constraints. The finite element method together with an updated Lagrangian formulation is used to study the structural system. The unilateral constraints are imposed by tensionless supports or foundations. At each load step, in order to obtain the contact regions, the equilibrium equations are linearized and the contact problem is treated directly as a minimisation problem with inequality constraints, resulting in a linear complementarity problem (LCP). After the resulting LCP is solved by Lemke's pivoting algorithm, the contact regions are identified and the Newton-Raphson method is used together with path following methods to obtain the new contact forces and equilibrium configurations. The proposed methodology is illustrated by two examples and the results are compared with numerical and experimental results found in literature.

• 대한수학회지
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• 제46권3호
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• pp.551-560
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• 2009

A theorem of Robert Blumenthal is used here in order to obtain a sufficient condition for a function between two Finsler manifolds to be a fibre bundle map. Our study is connected with two possible constructions: 1) a Finslerian generalization of usually Kaluza-Klein theories which use Riemannian metrics, the well-known particular case of Finsler metrics, 2) a Finslerian version of reduction process from geometric mechanics. Due to a condition in the Blumenthal's result the completeness of Euler-Lagrange vector fields of Finslerian type is discussed in detail and two situations yielding completeness are given: one concerning the energy and a second related to Finslerian fundamental function. The connection of our last framework, namely a regular Lagrangian having the energy as a proper (in topological sense) function, with the celebrated $Poincar{\acute{e}}$ Recurrence Theorem is pointed out.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2011년 춘계학술대회논문집
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• pp.278-285
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• 2011

In the present study, the numerical prediction of the oil amount leaked from the hole of a damaged tank is investigated using the improved MPS (Moving Particle Semi-implicit) method, which was originally proposed by Koshizuka and Oka (1996) for incompressible flow. The governing equations, which consist of the continuity and Navier-Stokes equations, are solved by Lagrangian moving particles, and all terms expressed by differential operators should be replaced by the particle interaction models based on a Kernel function. The simulation results are validated though the comparison with the analytic solution based on Torricelli's equilibrium relation. Furthermore, a series of numerical simulations under the various conditions are performed in order to estimate more accurately the initial amount of leaked oil.

• 대한용접접합학회:학술대회논문집
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• 대한용접접합학회 2002년도 춘계학술발표대회 개요집
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• pp.161-163
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• 2002

An implicit finite element implementation for Leblond's transformation plasticity constitutive equations, which are widely used in welded steel structure is proposed in the framework of parallel computing. The implementation is based upon the updated Lagrangian formulation. We examine the efficiency of parallel compuatation for the finite element analysis of a welded structure using multi-frontal solver.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 추계학술대회논문집A
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• pp.336-340
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• 2001

We propose an implicit numerical implementation for the Leblond's transformation plasticity constitutive equations, which are widely used in welded steel structure. We apply generalized trapezoidal rule to integrate the equations and determine the consistent tangent moduli. The implementation may be used with updated Lagrangian formulation. We test a simple butt-welding process to compare with SYSWELD and discuss the accuracy.

• Wind and Structures
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• 제20권3호
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• pp.423-448
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• 2015

In this paper the unsteady fluid-structure interaction (FSI) problems with large structural displacement are solved by partitioned solution approaches in the arbitrary Lagrangian-Eulerian finite element framework. The incompressible Navier-Stokes equations are solved by the characteristic-based split (CBS) scheme. Both a rigid body and a geometrically nonlinear solid are considered as the structural models. The latter is solved by Newton-Raphson procedure. The equation governing the structural motion is advanced by Newmark-${\beta}$ method in time. The dynamic mesh is updated by using moving submesh approach that cooperates with the ortho-semi-torsional spring analogy method. A mass source term (MST) is introduced into the CBS scheme to satisfy geometric conservation law. Three partitioned coupling strategies are developed to take FSI into account, involving the explicit, implicit and semi-implicit schemes. The semi-implicit scheme is a mixture of the explicit and implicit coupling schemes due to the fluid projection splitting. In this scheme MST is renewed for interfacial elements. Fixed-point algorithm with Aitken's ${\Delta}^2$ method is carried out to couple different solvers within the implicit and semi-implicit schemes. Flow-induced vibrations of a bridge deck and a flexible cantilever behind an obstacle are analyzed to test the performance of the proposed methods. The overall numerical results agree well with the existing data, demonstrating the validity and applicability of the present approaches.