• 제목/요약/키워드: Implicit Formulation

검색결과 107건 처리시간 0.026초

묵시적 제한방법을 이용한 옷 모델링 방법 (Cloth Modeling using Implicit Constraint Enforcement)

  • 홍민;이승현;박두순
    • 한국멀티미디어학회논문지
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    • 제11권4호
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    • pp.516-524
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    • 2008
  • 본 논문은 기존에 연구되지 않았던 옷의 독특한 특징들을 묵시적 제한방법을 사용하여 강력한 제한력으로 구현하는 새로운 모델링 방법을 제안한다. 기존의 명시적 제한방법인 Baumgarte 안정화 방법은 해에 빠르게 수렴하도록 하기 위해 사용자가 시뮬레이션에 따라서 값이 달라지는 안정화 변수 값을 선택해야 하고, 시뮬레이션의 시간 간격 사용에 있어서 안정화에 한계가 있는 단점들이 있다. 본 논문은 큰 시간 간격에도 안정적이고, 안정화 변수 값을 요구하지 않고, 물리적으로도 적합한 물체의 움직임을 보장하는 묵시적 제한방법을 사용한다. 또한 묵시적 제한 방법의 계산 복잡도는 Baumgarte 안정화 방법과 같다. 본 논문은 묵시적 제한방법의 수식과 제한의 오차 분석을 설명하였고 옷의 솔기, 단추, 옷 주름, 옷의 구김, 과잉 늘어짐 방지 등의 복잡한 옷의 요소들에 대한 모델링 방법을 제시하였다. 본 논문에서 제안된 방법은 외부 상황에 의해 각종 제한들이 자동적으로 설정되고 제거되어 계산 비용을 절약함과 동시에 옷의 독특한 특징들의 구현을 통해 현실감 있는 옷 시뮬레이션의 결과들을 얻었다.

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차체판넬 스탬핑공정을 위한 가상생산에 관한 연구 (A Study on Virtual Manufacturing for Total Auto-Body Panel Stamping Processes)

  • 정동원
    • 대한기계학회논문집A
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    • 제24권6호
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    • pp.1499-1512
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    • 2000
  • The dynamic explicit finite element method and the static implicit finite element method are applied effectively to analyze total auto-body panel stamping processes, which include the forming stage , the trimming stage and the spring-back stage.\The explicit time integration method has better merits in the forming stage including highly complicated three-dimensional contact conditions. On the contrary, the implicit time integration method is better for analyzing spring-back since the complicated contact conditions are removed and the computing time to get the final static state is short. In this work, brief descriptions of the formulation and the factor study are presented. Further, the simulated results for the total auto-body panel stamping processes are shown and discussed. The formability and the weld line movement in stamping with Tailor Welded Blanks were investigated through QTR-OTR-FRT.

박판 성형에서의 스프링백 해석과 산업적 응용 (Springback Analyses in Sheet Metal Stamping Processes and Industrial Applications)

  • 양동열;이상욱;윤정환;유동진
    • 소성∙가공
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    • 제8권1호
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    • pp.22-28
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    • 1999
  • The explicit and implicit time integration methods are applied effectively to analyze sheet metal stamping processes, which include the forming stage and the springback stage consecutively. The explicit time integration method has better merits in the forming stage including highly complicated three-dimensional contact conditions. By contrary, the implicit time integration method is better for analyzing springback since the complicated contact conditions are removed and the computing time to get the final static state is short. In this work, brief descriptions of the formulation and the factor study for springack simulations are presented. Further, the simulated results for the S-rail and the roof panel stamping processes are shown and discussed.

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속도변환법을 이용한 운동방정식의 시스템자코비안 구성 (Construction of System Jacobian in the Equations of Motion Using Velocity Transformation Technique)

  • 이재욱;손정현;김광석;유완석
    • 대한기계학회논문집A
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    • 제25권12호
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    • pp.1966-1973
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    • 2001
  • The Jacobian matrix of the equations of motion of a system using velocity transformation technique is derived via variation methods to apply the implicit integration algorithm, DASSL. The concept of generalized coordinate partitioning is used to parameterize the constraint set with independent generalized coordinates. DASSL is applied to determine independent generalized coordinates and velocities. Dependent generalized coordinates, velocities, accelerations and Lagrange multipliers are explicitly retained in the formulation to satisfy all of the governing kinematic and dynamic equations. The derived Jacobian matrix of a system is proved to be valid and accurate both analytically and through solution of numerical examples.

분할 적분 기법을 적용한 N-sigma-T 분자동역학 전산모사 (A Splitting Time Integrator for Fully Flexible Cell Molecular Dynamics)

  • 박시동;조맹효
    • 대한기계학회논문집A
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    • 제31권8호
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    • pp.826-832
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    • 2007
  • Fully flexible cell preserves Hamiltonian in structure so that the symplectic time integrator is applicable to the equations of motion. In the direct formulation of fully flexible cell N-Sigma-T ensemble, a generalized leapfrog time integration (GLF) is applicable for fully flexible cell simulation, but the equations of motion by GLF has structure of implicit algorithm. In this paper, the time integration formula is derived for the fully flexible cell molecular dynamics simulation by using the splitting time integration. It separates flexible cell Hamiltonian into terms corresponding to each of Hamiltonian term. Thus the simple and completely explicit recursion formula was obtained. We compare the performance and the result of present splitting time integration with those of the implicit generalized leapfrog time integration.

내재적 경계 조건을 이용한 자유표면 유동 수치해석 (Numerical Simulation on the Free Surface using implicit boundary condition)

  • 이공희;백제현
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1998년도 춘계 학술대회논문집
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    • pp.156-161
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    • 1998
  • This describes a numerical method for predicting the incompressible unsteady laminar three-dimensional flows of fluid behaviour with free-surface. The elliptic differential equations governing the flows have been linearized by means of finite-difference approximations, and the resulting equations have been solved via a fully-implicit iterative method. The free-surface is defined by the motion of a set of marker particles and interface behaviour was investigated by way of a 'Lagrangian' technique. Using the GALA concept of Spalding, the conventional mass continuity equation is modified to form a volumetric or bulk-continuity equation. The use of this bulk-continuity relation allows the hydrodynamic variables to be computed over the entire flow domain including both liquid and gas regions. Thus, the free-surface boundary conditions are imposed implicitly and the problem formulation is greatly simplified. The numerical procedure is validated by comparing the predicted results of a periodic standing waves problems with analytic solutions or experimental results from the literature. The results show that this numerical method produces accurate and physically realistic predictions of three-dimensional free-surface flows.

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흐름에 의한 만내의 순환의 수학적 모의모형 (MATHEMATICAL SIMULATION MODEL OF FLOW INDUCED CIRCULATION IN A HARBOR)

  • 윤태훈;윤성범
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 1982년도 제24회 수공학 연구발표회 논문초록집
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    • pp.91-98
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    • 1982
  • The formulation of depth-averaged two-dimensional mathematical model for the analysis of tide induced circulation in a harbor by the Galerkin finite element techique is presented. In integration of the Galerkin approach in time both explicit and implicit method have been tested for one and two dimentional water bodies, and the two step Lax-Wendroff explicit method is found to be effective than the implicit in reducing computing time. The essential characteristics of the tide induced flow in Busan Harbor with two open boundaries has been foccud to be reproduceable in the numerical model and the simulated results encourage that the model can be used as a predictive tool.

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유연성을 갖는 매니퓰레이터 역학방정식의 간략화 (THE SIMPLICATION OF DYNAMICS FOR THE FLEXIBLE BODY)

  • 박화세;배준경;남호법;박종국
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1988년도 전기.전자공학 학술대회 논문집
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    • pp.950-953
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    • 1988
  • The equations of motion for linearly elastic bodies undergoing large displacement motion are derived. This produces a set of equations which are efficient to numerically integrate. The equations for the elastic bodies are formulated and simplified to provide as much efficiency as possible in their numerical solution. A futher efficiency is obtained through the use of floating reference frame. The equation are presented in two forms for numerical integration. 1) Explicit numerical integration 2) Implicit numerical integration. In this paper, there was used the numerical integration. The implicit numerical integration is extended to solved second order equation, futher reducing the numerical effort required. The formulation given is seen to be occulate and is expected to be efficient for many types of problems.

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MIXED QUASI VARIATIONAL INEQUALITIES INVOLVING FOUR NONLINEAR OPERATORS

  • Pervez, Amjad;Khan, Awais Gul;Noor, Muhammad Aslam;Noor, Khalida Inayat
    • 호남수학학술지
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    • 제42권1호
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    • pp.17-35
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    • 2020
  • In this paper we introduce and consider a new class of variational inequalities with four operators. This class is called the extended general mixed quasi variational inequality. We show that the extended general mixed quasi variational inequality is equivalent to the fixed point problem. We use this alternative equivalent formulation to discuss the existence of a solution of extended general mixed quasi variational inequality and also develop several iterative methods for solving extended general mixed quasi variational inequality and its variant forms. We consider the convergence analysis of the proposed iterative methods under appropriate conditions. We also introduce a new class of resolvent equation, which is called the extended general implicit resolvent equation and establish an equivalent relation between the extended general implicit resolvent equation and the extended general mixed quasi variational inequality. Some special cases are also discussed.

Formulation of the Neural Network for Implicit Constitutive Model (II) : Application to Inelastic Constitutive Equations

  • Lee, Joon-Seong;Lee, Eun-Chul;Furukawa, Tomonari
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제8권4호
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    • pp.264-269
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    • 2008
  • In this paper, two neural networks as a material model, which are based on the state-space method, have been proposed. One outputs the rates of inelastic strain and material internal variables whereas the outputs of the other are the next state of the inelastic strain and material internal variables. Both the neural networks were trained using input-output data generated from Chaboche's model and successfully converged. The former neural network could reproduce the original stress-strain curve. The neural network also demonstrated its ability of interpolation by generating untrained curve. It was also found that the neural network can extrapolate in close proximity to the training data.