• Title/Summary/Keyword: Space element

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A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Shin, Jun Yong
    • East Asian mathematical journal
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    • v.32 no.5
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    • pp.729-744
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    • 2016
  • A Crank-Nicolson characteristic finite element method is introduced to construct approximate solutions of a Sobolev equation with a convection term. The higher order of convergences in the temporal direction and in the spatial direction in $L^2$ normed space are verified for the Crank-Nicolson characteristic finite element method.

Three-dimensional cure simulation of composite structures by the finite element method (유한요소법을 이용한 복합재 구조물의 3차원 경화 수치모사)

  • Min, Kuoung-Jae;Park, Hoon-Cheol;Yoon, Kwang-Joon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.6
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    • pp.39-45
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    • 2002
  • In this paper, a finite element formulation was introduced for the three-dimensional cure simulation of composite structures. Based on the formulation, a three-dimensional finite element code was developed. Numerical examples found in the literatures were solved for code verification. Results from the present analyses agreed well with the measured cure-induced temperatures. Unlike in one or two dimensional analysis, temperature and degree of cure were able to be calculated at any point within composite structures in the present analysis. The finite element program can be used for the cure simulation of composite structures with arbitrary geometry under non-uniform autoclave temperature distribution.

Active Vibration Control of Composite Shell Structure using Modal Sensor/Actuator System

  • Kim, Seung-Jo;Hwang, Joon-Seok;Mok, Ji-Won
    • International Journal of Aeronautical and Space Sciences
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    • v.7 no.1
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    • pp.106-117
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    • 2006
  • The active vibration control of composite shell structure has been performed with the optimized sensor/actuator system. For the design of sensor/actuator system, a method based on finite element technique is developed. The nine-node Mindlin shell element has been used for modeling the integrated system of laminated composite shell with PVDF sensor/actuator. The distributed selective modal sensor/actuator system is established to prevent the effect of spillover. Electrode patterns and lamination angles of sensor/actuator are optimized using genetic algorithm. Continuous electrode patterns are discretized according to finite element mesh, and orientation angle is encoded into discrete values using binary string. Sensor is designed to minimize the observation spillover, and actuator is designed to minimize the system energy of the control modes under a given initial condition. Modal sensor/actuator for the first and the second mode vibration control of singly curved cantilevered composite shell structure are designed with the method developed on the finite element method and optimization. For verification, the experimental test of the active vibration control is performed for the composite shell structure. Discrete LQG method is used as a control law.

Mesh distortion, locking and the use of metric trial functions for displacement type finite elements

  • Kumar, Surendra;Prathap, G.
    • Structural Engineering and Mechanics
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    • v.29 no.3
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    • pp.289-300
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    • 2008
  • The use of metric trial functions to represent the real stress field in what is called the unsymmetric finite element formulation is an effective way to improve predictions from distorted finite elements. This approach works surprisingly well because the use of parametric functions for the test functions satisfies the continuity conditions while the use of metric (Cartesian) shape functions for the trial functions attempts to ensure that the stress representation during finite element computation can retrieve in a best-fit manner, the actual variation of stress in the metric space. However, the issue of how to handle situations where there is locking along with mesh distortion has never been addressed. In this paper, we show that the use of a consistent definition of the constrained strain field in the metric space can ensure a lock-free solution even when there is mesh distortion. The three-noded Timoshenko beam element is used to illustrate the principles. Some significant conclusions are drawn regarding the optimal strategy for finite element modelling where distortion effects and field-consistency requirements have to be reconciled simultaneously.

The Use of Hermite Cubic Element for Inviscid Convective Equations (비점성 대류 방정식의 계산을 위한 Hermite 3차 요소의 사용에 대한)

  • 김진환
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.99-106
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    • 1993
  • The use of Hermite cubic element, as a possible finite element computation of transport equations containing shocks, has been invesigated. In the present paper the hermite cubic elements are applied to both linear and nonlinear scalar one and two dimensional equations. In the one dimensional problems, numerical results by the hermite cubic element show better than those by the linear element, and the steady state solution by the hermite cubic element yields result with good resolution. This fact proves the superiority of the hermite cubic element in space differencing. In two dimensional case, the results by the hermite cubic element shows a boundary instability, and the use of higher order time differencing method may be necessary for fixing the problem.

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Study of Computing Nodal Thermal Contact Conductance between 3 Dimensional Unmatched Grid Interfaces for Finite Element Thermal Analysis (유한요소 열해석의 3차원 불일치격자경계면의 절점 접촉열교환계수 계산 연구)

  • Kim, Min Ki
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.45 no.12
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    • pp.1021-1030
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    • 2017
  • This paper describes the algorithm of computing thermal contact conductance between unmatched grid interfaces for finite element thermal analysis. Because grid interfaces should be coincident with adjacent meshes for finite element method, large amount of man hours and huge computations are required to match interfaces between many numbers of complex subdomains. A novel method that distributes feasibly the conductances to interface nodes is proposed. The aims of the method are described, and details of the nodal conductance distribution algorithm with less dependency on meshes are represented. The algorithm can be applied both the flat and curved interfaces in 3 dimensional space, and proposed method can combined with many finite element application including thermal analysis.

Legibility Factors of Disparate Image Fomation in Urban Space - Focused on Busan Urban Space - (도시공간의 이질적 이미지를 형성하는 레지빌리티 요소 - 부산시 도시공간을 대상으로 -)

  • Hong, Ji Su;Kim, Jong Gu
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.39 no.1
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    • pp.227-237
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    • 2019
  • In terms of the concept of space in urban planning and design, the modern city approaches from the perspective that all spaces are made up of different places based on identity. In this study, we analyzed disparate image by paying attention to the difference between the individual spaces that form the city. And the physical and behavioral factors that respond to the disparate spatial images are derived through legibility measurement. As a result, the urban space in Busan has disparate images such as closure, openness, dynamic + closure, dynamic + openness, quiet space. The following are the legibility factors that make each image stronger. The elements of closure are high-density and high-rise buildings, residence, work, openness appeared as a factor of water space, walking and viewing. Dynamic & Closure is the element of industrial activity, dynamic & openness is open space, water space, swimming element, quiet space image is green space, walking, stay factor.

Development of three dimensional variable-node elements and their applications to multiscale problems (삼차원 다절점 유한요소의 개발과 멀티스케일 문제의 적용)

  • Lim, Jae-Hyuk;Sohn, Dong-Woo;Im, Se-Young
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.172-176
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    • 2008
  • In this paper, three dimensional linear conforming variable-finite elements are presented with the aid of a smoothed integration (a class of stabilized conforming nodal integration), for mnltiscale mechanics problems. These elements meet the desirable properties of an interpolation such as the Kronecker delta condition, the partition of unity condition and the positiveness of interpolation function. The necessary condition of linear exactness is fully relaxed by employing the smoothed integration, which renders us to meet the linear exactness in a straightforward manner. This novel element description extend the category of the conventional finite elements space to ration type function space and give the flexibility on the number of nodes of element which are fixed in the conventional finite elements. Several examples are provided to show the convergence and the accuracy of the proposed elements, and to demonstrate their potential with emphasis on the multiscale mechanics problems such as global/local analysis, nonmatching contact problems, and modeling of composite material with defects.

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Finite Element Method (FEM) Study on Space Charge Effects in Organic Light Emitting Diodes (OLED)

  • Kim, Kwang-Sik;Hwang, Young-Wook;Won, Tae-Young
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.12 no.4
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    • pp.467-472
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    • 2012
  • In this paper, we present a finite element method (FEM) study on the space charge effects in organic light emitting diodes. The physical model covers all the key physical processes in OLEDs, namely charge injection, transport and recombination, exciton diffusion, transfer and decay as well as light coupling, and thin-film-optics. The exciton model includes generation, diffusion, and energy transfer as well as annihilation. We assumed that the light emission originates from oscillation which thus is embodied as exciton in a stack of multilayer. We discuss the accumulation of charges at internal interfaces and their signature in the transient response as well as the electric field distribution. We also report our investigation on the influence of the insertion of the emission layer (EML) in the bilayer structure.

Live Load Distribution of Prestressed Concrete Girder Bridge with Curved Slab

  • Park Sun-Kyu;Kim Kwang-Soo;Kim Jin-Ho;Choi Jung-Ho
    • Journal of the Korea Concrete Institute
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    • v.16 no.5 s.83
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    • pp.709-717
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    • 2004
  • The existing AASHTO Standard Specification have some inadequacies in expressing wheel load distribution of bridge which has specific shape of curved bridge instead of straight bridge. Thus, this research presented the finite element analysis and modelling technique of prestressed concrete girder bridge having curved slab and the expression of wheel load distribution was suggested as the ratio of bending moment utilizing the result of finite element analysis of prestressed concrete girder bridge having cowed slab. The considered parameter of girder distribution expression is the curvature of slab, span length, girder space, cross beam space and number of lanes. Though the suggested girder distribution expression is generally underestimated below AASHTO Standard Specification, once the curvature of slab increases, the suggested expression gets larger than AASHTO LRFD Standard Specification.