• 제목/요약/키워드: Approximate Finite Element Model

검색결과 93건 처리시간 0.025초

Modeling and damage detection for cracked I-shaped steel beams

  • Zhao, Jun;DeWoIf, John T.
    • Structural Engineering and Mechanics
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    • 제25권2호
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    • pp.131-146
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    • 2007
  • This paper presents the results of a study to show how the development of a crack alters the structural behavior of I-shaped steel beams and how this can be used to evaluate nondestructive evaluation techniques. The approach is based on changes in the dynamic behavior. An approximate finite element model for a cracked beam with I-shaped cross-section is developed based on a simplified fracture model. The model is then used to review different damage cases. Damage detection techniques are studied to determine their ability to identify the existence of the crack and to identify its location. The techniques studied are the coordinate modal assurance criterion, the modal flexibility, and the state and the slope arrays.

판 압연에서 압하력 및 장력 분포 예측 모델 개발 (Development of Mathematical Model for the Prediction of Roll Force and Tension Profiles in Flat Rolling)

  • 김용기;황상무
    • 소성∙가공
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    • 제19권6호
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    • pp.344-351
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    • 2010
  • This paper presents a precision on-line model for the prediction of the roll force and tension distributions across the strip in hot strip rolling. The approach is based on an approximate 3-D theory of rolling, and in particular, considers the effect of pre-deformation of the strip, which occurs near the roll entrance before the strip enters the bite zone. The prediction accuracy of the proposed model is examined through comparison with the predictions from the 3-D finite element models.

사다리꼴 주름평판의 음향방사효율 해석 (Prediction of acoustic radiation efficiency for trapezoidal corrugated plates)

  • 유정수;장승호
    • 한국음향학회지
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    • 제42권2호
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    • pp.83-93
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    • 2023
  • 사다리꼴 주름평판은 복잡한 주름 모델링으로 인해 흔히 직교이방성평판으로 단순화하여 해석한다. 그러나 고주파수 대역에서는 주름의 국부 진동으로 인해 직교이방성평판 모델이 유효하지 못하다. 본 연구에서는 파수영역수치해석기법을 이용하여 사다리꼴 주름평판의 고주파수 대역 진동 및 소음 특성을 규명하고, 이를 토대로 주름평판의 주파수 대역별 진동 및 소음 특성을 반영한 근사계산 방법을 제안한다. 근사계산에서는 전역 및 국부 진동을 반영할 수 있도록 주름평판을 네 개의 평판모델로 구성하였으며, 근사계산을 통해 구한 방사효율을 수치해석 결과와 비교함으로써 방법의 신뢰성을 검증하였다.

A DISCONTINUOUS GALERKIN METHOD FOR A MODEL OF POPULATION DYNAMICS

  • Kim, Mi-Young;Yin, Y.X.
    • 대한수학회논문집
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    • 제18권4호
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    • pp.767-779
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    • 2003
  • We consider a model of population dynamics whose mortality function is unbounded. We approximate the solution of the model using a discontinuous Galerkin finite element for the age variable and a backward Euler for the time variable. We present several numerical examples. It is experimentally shown that the scheme converges at the rate of $h^{3/2}$ in the case of piecewise linear polynomial space.

메타모델을 이용한 플로트오버 설치 작업용 능동형 갑판지지프레임의 근사설계최적화 (Approximate Design Optimization of Active Type Desk Support Frame for Float-over Installation Using Meta-model)

  • 이동준;송창용;이강수
    • 한국산업융합학회 논문집
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    • 제24권1호
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    • pp.31-43
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    • 2021
  • In this study, approximate design optimization using various meta-models was performed for the structural design of active type deck support frame. The active type deck support frame was newly developed to facilitate both transportation and installation of 20,000 ton class offshore plant topside. Structural analysis was carried out using the finite element method to evaluate the strength performance of the active type deck support frame in its initial design stage. In the structural analysis, the strength performances were evaluated for various design load conditions that were regulated in ship classification organization. The approximate optimum design problem based on meta-model was formulated such that thickness sizing variables of main structure members were determined by achieving the minimum weight of the active type deck support frame subject to the strength performance constraints. The meta-models used in the approximate design optimization were response surface method, Kriging model, and Chebyshev orthogonal polynomials. The results from approximate design optimization were compared to actual non-approximate design optimization. The Chebyshev orthogonal polynomials among the meta-models used in the approximate design optimization represented the most pertinent optimum design results for the structure design of the active type deck support frame.

An approximate spectral element model for the dynamic analysis of an FGM bar in axial vibration

  • Lee, Minsik;Park, Ilwook;Lee, Usik
    • Structural Engineering and Mechanics
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    • 제61권4호
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    • pp.551-561
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    • 2017
  • As FGM (functionally graded material) bars which vibrate in axial or longitudinal direction have great potential for applications in diverse engineering fields, developing a reliable mathematical model that provides very reliable vibration and wave characteristics of a FGM axial bar, especially at high frequencies, has been an important research issue during last decades. Thus, as an extension of the previous works (Hong et al. 2014, Hong and Lee 2015) on three-layered FGM axial bars (hereafter called FGM bars), an enhanced spectral element model is proposed for a FGM bar model in which axial and radial displacements in the radial direction are treated more realistic by representing the inner FGM layer by multiple sub-layers. The accuracy and performance of the proposed enhanced spectral element model is evaluated by comparison with the solutions obtained by using the commercial finite element package ANSYS. The proposed enhanced spectral element model is also evaluated by comparison with the author's previous spectral element model. In addition, the effects of Poisson's ratio on the dynamics and wave characteristics in example FGM bars are numerically investigated.

Analytical study on the influence of distributed beam vertical loading on seismic response of frame structures

  • Mergos, P.E.;Kappos, A.J.
    • Earthquakes and Structures
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    • 제5권2호
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    • pp.239-259
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    • 2013
  • Typically, beams that form part of structural systems are subjected to vertical distributed loading along their length. Distributed loading affects moment and shear distribution, and consequently spread of inelasticity, along the beam length. However, the finite element models developed so far for seismic analysis of frame structures either ignore the effect of vertical distributed loading on spread of inelasticity or consider it in an approximate manner. In this paper, a beam-type finite element is developed, which is capable of considering accurately the effect of uniform distributed loading on spreading of inelastic deformations along the beam length. The proposed model consists of two gradual spread inelasticity sub-elements accounting explicitly for inelastic flexural and shear response. Following this approach, the effect of distributed loading on spreading of inelastic flexural and shear deformations is properly taken into account. The finite element is implemented in the seismic analysis of plane frame structures with beam members controlled either by flexure or shear. It is shown that to obtain accurate results the influence of distributed beam loading on spreading of inelastic deformations should be taken into account in the inelastic seismic analysis of frame structures.

Finite element analysis of CFRP laminate repairs on damaged end regions of prestressed concrete bridge girders

  • Shaw, Ian D.;Andrawes, Bassem
    • Advances in Computational Design
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    • 제2권2호
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    • pp.147-168
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    • 2017
  • Over the past couple decades, externally bonded fiber reinforced polymer (FRP) composites have emerged as a repair and strengthening material for many concrete infrastructure applications. This paper presents an analytical investigation of the use of carbon FRP (CFRP) for a specific problem that occurs in concrete bridge girders wherein the girder ends are damaged by excessive exposure to deicing salts and numerous freezing/thawing cycles. A 3D finite element (FE) model of a full scale prestressed concrete (PC) I-girder is used to investigate the effect of damage to the cover concrete and stirrups in the end region of the girder. Parametric studies are performed using externally bonded CFRP shear laminates to determine the most effective repair schemes for the damaged end region under a short shear span-to-depth ratio. Experimental results on shear pull off tests of CFRP laminates that have undergone accelerated aging are used to calibrate a bond stress-slip model for the interface between the FRP and concrete substrate and approximate the reduced bond stress-slip properties associated with exposure to the environment that causes this type of end region damage. The results of these analyses indicate that this particular application of this material can be effective in recovering the original strength of PC bridge girders with damaged end regions, even after environmental aging.

에어컨 배관 시스템의 형상 최적설계 (Shape Optimization of an Air Conditioner Piping System)

  • 민준홍;최동훈;정두한
    • 한국소음진동공학회논문집
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    • 제19권11호
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    • pp.1151-1157
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    • 2009
  • Ensuring both product quality and reducing material cost are important issue for the design of the piping system of an air conditioner outdoor unit. This paper describes a shape optimization that achieves mass reduction of an air conditioner piping system while satisfying two design constraints on resonance avoidance and the maximum stress in the pipes. In order to obtain optimized design results with various analysis fields considered simultaneously, an automated multidisciplinary analysis system was constructed using PIAnO v.2.4, a commercial process integration and design optimization(PIDO) tool. As the first step of the automated analysis system, a finite element model is automatically generated corresponding to the specified shape of the pipes using a morphing technique included in HyperMesh. Then, the performance indices representing various design requirements (e.g. natural frequency, maximum stress and pipe mass) are obtained from the finite element analyses using appropriate computer-aided engineering(CAE) tools. A sequential approximate optimization(SAO) method was employed to effectively obtain the optimum design. As a result, the pipe mass was reduced by 18 % compared with that of an initial design while all the constraints were satisfied.

직교이방성 판이론에 의한 FRP 보강 콘크리트 슬래브의 휨해석 (An Analytical Investigation on the Flexural Behavior of FRP Reinforced Concrete Slab by Orthotropic Plate Theory)

  • 손경욱;정재호;정상균;윤순종;이승식
    • Composites Research
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    • 제17권2호
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    • pp.9-14
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    • 2004
  • 본 연구는 FRP 보강 콘크리트 슬래브의 휨거동에 관한 이론적 연구로서 FRP 보강 콘크리트 슬래브를 구조적 직교이방성판으로 간주하고 고전적 직교이방성판이론에 따른 휨해석 및 유한요소해석을 수행하였다. FRP 보강 콘크리트 슬래브를 직교이방성판으로 모델링하기 위해서는 각 하중한대별로 실제 구조물의 거동에 부합하는 직교이방성판의 휨강성을 결정하는 것이 중요하다. 본 연구에서는 탄성등가법을 적용하여 FRP 보강 콘크리트 슬래브와 등가인 직교이방성판의 휨강성을 결정하였으며, 탄성등가법에 의해 결정된 휨강성을 사용하여 유한요소해석 수행을 위한 강성행렬의 결정방법을 제안하였다. 또한, 이론식에 의한 해석결과와 제안된 강성행렬을 사용하여 해석한 유한요소해석 결과를 실험결과와 비교하였다.