• 제목/요약/키워드: Formulation

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최소 제곱 무요소법과 적분 오차 (Least-Squares Meshfree Method and Integration Error)

  • 박상훈;윤성기
    • 대한기계학회논문집A
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    • 제25권10호
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    • pp.1605-1612
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    • 2001
  • Least-squares meshfree method is presented. Conventional meshfree methods based on the Galerkin formulation suffer from inaccurate numerical integration. Least-squares formulation exhibits rather different integration-related characteristics. It is demonstrated through numerical examples that least-squares formulation is much more robust to integration errors than the Galerkin's. Therefore efficient meshfree methods can be devised by combining very simple integration algorithms and least-squares formulation.

선형 상보성 수식화를 이용한 마찰 접촉 대변형 동역학 문제의 해석 (Large Displacement Dynamic Analysis with Frictional Contact by Linear Complementarity Formulation)

  • 성재혁;곽병만
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.674-679
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    • 2001
  • For a large deformation nonlinear dynamic analysis of two-dimensional frictional contact, the linear complementarity formulation combined with a linearization is used. The solution procedure is based on the total Lagrangian formulation with a predictor and corrector scheme. For contact searching, a hierarchical scheme with a circular territory is used. A second-order approximation of displacements is used to detect impact time and position. The formulation is illustrated by means of numerical examples.

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다물체 동역학 시스템을 위한 독립 좌표에 의한 부분 시스템 합성 방법 (Subsystem Synthesis Methods with Independent Coordinates for Multi-body Dynamics Systems)

  • 송금정;김성수
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1724-1729
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    • 2003
  • Two different subsystem synthesis methods with independent generalized coordinates have been developed and compared. In each formulation, the subsystem equations of motion are generated in terms of independent generalized coordinates. The first formulation is based on the relative Cartesian coordinates with respect to moving subsystem base (virtual) body. The second formulation is based on the relative joint coordinates using recursive formulation. Computational efficiency of the formulations has been compared theoretically by the operational counting method.

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구조체의 위상학적 최적화를 위한 비선형 프로그래밍 (NLP Formulation for the Topological Structural Optimization)

  • Bark, Jaihyeong;Omar N. Ghattas;Lee, Li-Hyung
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 봄 학술발표회 논문집
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    • pp.182-189
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    • 1996
  • The focus of this study is on the problem of the design of structure of undetermined topology. This problem has been regarded as being the most challenging of structural optimization problems, because of the difficulty of allowing topology to change. Conventional approaches break down when element sizes approach to zero, due to stiffness matrix singularity. In this study, a novel nonlinear Programming formulation of the topology Problem is developed and examined. Its main feature is the ability to account for topology variation through zero element sizes. Stiffness matrix singularity is avoided by embedding the equilibrium equations as equality constraints in the optimization problem. Although the formulation is general, two dimensional plane elasticity examples are presented. The design problem is to find minimum weight of a plane structure of fixed geometry but variable topology, subject to constraints on stress and displacement. Variables are thicknesses of finite elements, and are permitted to assume zero sizes. The examples demonstrate that the formulation is effective for finding at least a locally minimal weight.

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Strong formulation finite element method for arbitrarily shaped laminated plates - Part II. Numerical analysis

  • Fantuzzi, Nicholas;Tornabene, Francesco
    • Advances in aircraft and spacecraft science
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    • 제1권2호
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    • pp.145-175
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    • 2014
  • The results of a series of numerical experiments are presented to verify some of the important developments made in the first part of this paper. Firstly, the static solution of an algebraic system obtained through Strong Formulation Finite Element Method (SFEM) is presented. Secondly, the stress and strain recovery procedure is descripted for the present technique. It will be clear that the present approach is suitable for any strong formulation finite element methodology, due to the presented general approach based on the unknown displacements and on the elasticity equations. Thirdly, the numerical solutions for some classical and other numerical results found in literature are exposed. Finally, an arbitrarily shaped composite plate is solved and good agreement is observed for all the presented cases.

항력감소제용 추진제의 경화시간 단축을 위한 조성 및 공정 연구 (Research on the formulation and Process of Base Bleed Unit for reducing of Curing Time)

  • 최영기
    • 한국추진공학회지
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    • 제12권4호
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    • pp.24-32
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    • 2008
  • 항력감소제 추진제의 경화시간을 단축하여 생산성을 향상시키고자 새로운 추진제 조성을 개발하였다. 신규로 개발된 추진제 조성에 대한 바인더 특성 및 공정성 확인시험을 수행하였으며 아울러 다양한 추진제의 기본특성 및 최종 성능시험을 수행하였다. 시험결과, 모든 시험 항목들이 요구된 조건들을 만족하였을 뿐만 아니라 경화시간도 약 53% 단축되어 생산성 향상에 기여되었다.

Cell Based CMFD Formulation for Acceleration of Whole-core Method of Characteristics Calculations

  • Cho, Jin-Young;Joo, Han-Gyu;Kim, Kang-Seog;Zee, Sung-Quun
    • Nuclear Engineering and Technology
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    • 제34권3호
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    • pp.250-258
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    • 2002
  • This Paper is to apply the well-established coarse mesh finite difference(CMFD) method to the method of characteristics(MOC) transport calculation as an acceleration scheme. The CMFD problem is first formulated at the pin-cell level with the multi-group structure To solve the cell- based multi-group CMFD problem efficiently, a two-group CMFD formulation is also derived from the multi-group CMFD formulation. The performance of the CMFD acceleration is examined for three test problems with different sizes including a realistic quarter core PWR problem. The CMFD formulation provides a significant reduction in the number of ray tracings and thus only about 9 ray tracing iterations are enough for the realistic problem. In computing time, the CMFD accelerated case is about two or three times faster than the coarse-mesh rebalancing(CMR) accelerated case.

Glass Property Models, Constraints, and Formulation Approaches for Vitrification of High-Level Nuclear Wastes at the US Hanford Site

  • Kim, Dongsang
    • 한국세라믹학회지
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    • 제52권2호
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    • pp.92-102
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    • 2015
  • Current plans for legacy nuclear wastes stored in underground tanks at the U.S. Department of Energy's Hanford Site in Washington are that they will be separated into high-level waste and low-activity waste fractions that will be vitrified separately. Formulating optimized glass compositions that maximize the waste loading in glass is critical for successful and economical treatment and immobilization of these nuclear wastes. Glass property-composition models have been developed and applied to formulate glass compositions for various objectives for the past several decades. Property models with associated uncertainties combined with composition and property constraints have been used to develop preliminary glass formulation algorithms designed for vitrification process control and waste-form qualification at the planned waste vitrification plant. This paper provides an overview of the current status of glass property-composition models, constraints applicable to Hanford waste vitrification, and glass formulation approaches that have been developed for vitrification of hazardous and highly radioactive wastes stored at the Hanford Site.

MULTISCALE MODELLING FOR THE FISSION GAS BEHAVIOUR IN THE TRANSURANUS CODE

  • Van Uffelen, P.;Pastore, G.;Di Marcello, V.;Luzzi, L.
    • Nuclear Engineering and Technology
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    • 제43권6호
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    • pp.477-488
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    • 2011
  • A formulation is proposed for modelling the process of intra-granular diffusion of fission gas during irradiation of $UO_2$ under both normal operating conditions and power transients. The concept represents a simple extension of the formulation of Speight, including an estimation of the contribution of bubble motion to fission gas diffusion. The resulting equation is formally identical to the diffusion equation adopted in most models that are based on the formulation of Speight, therefore retaining the advantages in terms of simplicity of the mathematical-numerical treatment and allowing application in integral fuel performance codes. The development of the new model proposed here relies on results obtained by means of molecular dynamics simulations as well as finite element computations. The formulation is proposed for incorporation in the TRANSURANUS fuel performance code.

절대절점좌표를 이용한 탄성 다물체동역학 해석에서의 동응력 이력 계산에 관한 연구 (Computation of Dynamic Stress in Flexible Multi-body Dynamics Using Absolute Nodal Coordinate Formulation)

  • 서종휘;정일호;박태원
    • 한국정밀공학회지
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    • 제21권5호
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    • pp.114-121
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    • 2004
  • Recently, the finite element absolute nodal coordinate formulation (ANCF) was developed for the large deformation analysis of flexible bodies in multi-body dynamics. This formulation is based on the finite element procedures and the general continuum mechanics theory to represent the elastic forces. In this paper, a computation method of dynamic stress in flexible multi-body dynamics using absolute nodal coordinate formulation is proposed. Numerical examples, based on an Euler-Bernoulli beam theory, are shown to verify the efficiency of the proposed method. This method can be applied for predicting the fatigue life of a mechanical system. Moreover, this study demonstrates that structural and multi-body dynamic models can be unified in one numerical system.