• 제목/요약/키워드: special boundary element

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동적 유한요소해석에서의 반무한 경계조건의 실행 (Implementation of Semi-infinite Boundary Condition for Dynamic Finite Element Analysis)

  • 최창호;정하익
    • 한국지반공학회논문집
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    • 제22권9호
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    • pp.37-43
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    • 2006
  • 지반구조물의 동적해석은 모델의 영역이 커짐에 따라 에너지가 감소하는 현상을 표현할 수 있는 방법을 필요로 한다. 이러한 현상은 흔히 방사 감쇠(radiation damping) 또는 기하학적 감쇠(geometric attenuation)로 알려져 있으며, 탄성에너지가 점성 또는 이력현상에 의해 감소되는 재료 감쇠현상과는 구별된다. 따라서 수치해석으로 지반구조물의 동적거동을 해석할 경우 모델의 영역 구축은 특별한 고려를 필요로 한다. 인공적인 경계조건은 유한요소내의 지반상태를 무한상태로 변형시킬 수 있어야 하며, 경계에 도달하는 응력 파동을 모델내로 반사시키지 않고 흡수 할 수 있어야 한다. 본 논문에서는 간단한 점 탄성 반무한 불연속 요소를 이용하여 지반구조물의 동적해석을 수행할 경우 에너지를 투과하는 경계조건을 수립하는 방법을 보여준다. 반무한 요소의 실행은 OpenSees라는 유한요소 해석프로그램을 이용하여 수행되었으며, 예를 통하여 불연속 요소가 경계에 도달하는 응력 파동을 충분히 흡수하여 유한요소 모델을 반무한 상태로 전환 시킬 수 있다는 것을 보여준다. 본 논문에서 제시된 방법은 간단하게 실용적으로 사용할 수 있는 반무한 경계조건이지만, 입사각이 매우 예리할 경우는 에너지의 흡수정도가 충분치 않은 것으로 알려져 있다.

구상흑연주철의 강인화에 미치는 특수열처리와 합금원소의 영향 (Effect of Special Heat Treatments and Alloying Element(Ni) on Strengthening and Toughening of Ductile Cast Iron)

  • 김석원;최용선
    • 한국주조공학회지
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    • 제10권4호
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    • pp.299-308
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    • 1990
  • Ductile cast iron has a good ductility and ductility and toughness than those of gray cast iron, because the shape of graphite is spheroidal. It has been reported that the strengthening and toughening of the ductile cast iron was resulted from the good modification of various matrix structures obtained by the heat treatment or addition of alloying elements. This study aims to investigate the effect of various special heat treatment(Cyclic Heat Treatment, Intermediate Heat Treatment, Step Quenching), austempering and alloying element(Ni) on the strength and toughness of ductile cast iron. The results obtained from this study are summarized as follows. 1) With addition of Ni, the amount of pearlite or bainite were increased and the morphologies of pearlite or bainite became finer by special heat treatments. 2) As the Ni added and not added ductile cast iron were treated by austenitizing at $900^{\circ}C$ and $840^{\circ}C$, in the latter the austenite was mostly formed in the vicinity of eutectic cell boundary, but in the former on the whole matrix. 3) In cyclic heat treatment, the volume fraction of pearlite was increased and the shape of pearlite was fined with increase of the number of cycle. 4) The shape of pearlite was mostly bar type in the intermediate heat treatment, but spheroidal type in step quenching. 5) The mechanical properties of ductile cast iron containing 1.5%Ni austempered at $400^{\circ}C$ for 25min. after austenitizing at $900^{\circ}C$ for 15min. were a good value of hardness 105(HRB), impact energy 12.5(kg.m), tensile strength 112($kg/mm^2$) and elongation 6.8(%).

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Evaluating effects of various water levels on long-term creep and earthquake performance of masonry arch bridges using finite difference method

  • Cavuslu, Murat
    • Geomechanics and Engineering
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    • 제31권1호
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    • pp.31-52
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    • 2022
  • Investigating and evaluating the long-term creep behavior of historical buildings built on seismic zones is of great importance in terms of transferring these structures to future generations. Furthermore, assessing the earthquake behavior of historical structures such as masonry stone bridges is very important for the future and seismic safety of these structures. For this reason, in this study, earthquake analyses of a masonry stone bridge are carried out considering strong ground motions and various water levels. Tokatli masonry stone arch bridge that was built in the 10th century in Turkey-Karabük is selected for three-dimensional (3D) finite difference analyses and this bridge is modeled using FLAC3D software based on the three-dimensional finite difference method. Firstly, each stone element of the bridge is modeled separately and special stiffness parameters are defined between each stone element. Thanks to these parameters, the interaction conditions between each stone element are provided. Then, the Burger-Creep and Drucker-Prager material models are defined to arch material, rockfill material for evaluating the creep and seismic failure behaviors of the bridge. Besides, the boundaries of the 3D model of the bridge are modeled by considering the free-field and quiet boundary conditions, which were not considered in the past for the seismic behavior of masonry bridges. The bridge is analyzed for 6 different water levels and these water levels are 0 m, 30 m, 60 m, 70 m, 80 m, and 90 m, respectively. A total of 10 different seismic analyzes are performed and according to the seismic analysis results, it is concluded that historical stone bridges exhibit different seismic behaviors under different water levels. Moreover, it is openly seen that the water level is of great importance in terms of earthquake safety of historical stone bridges built in earthquake zones. For this reason, it is strongly recommended to consider the water levels while strengthening and analyzing the historical stone bridges.

온도-엔탈피 관계를 이용한 응고과정의 유한요소 해석 (Finite Element Analysis of Solidification Process Using the Temperature-Enthalpy Relationship)

  • 조성수;하성규
    • 대한기계학회논문집B
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    • 제23권10호
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    • pp.1213-1222
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    • 1999
  • A finite element method is developed for calculating the temperature and enthalpy distribution and accordingly the solid, liquid and mushy zone in a three-dimensional body subjected to any heat boundary conditions. The method concurrently consider both temperature and enthalpy for consideration of the latent heat effect, differently from other methods of using a special energy balance equation for solving a mushy zone. The developed brick element has eight nodes with one degree of freedom at each node. The numerical method and procedure are verified using the results of one and two dimensional analytic solutions and by other researchers. It is shown that the present method presents a consistent and stable results in either abrupt or ranged phase change problems. Moreover, the numerical results by the present method are hardly effected by the calculation time steps which otherwise are difficult to determine in most phase change problems. Finally, as a three-dimensional application, a T-shaped body of a phase change is presented and the temperature and enthalpy variation along the time are solved.

Finite element model updating of Kömürhan highway bridge based on experimental measurements

  • Bayraktar, Alemdar;Altunisik, Ahmet Can;Sevim, Baris;Turker, Temel
    • Smart Structures and Systems
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    • 제6권4호
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    • pp.373-388
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    • 2010
  • The updated finite element model of K$\ddot{o}$m$\ddot{u}$rhan Highway Bridge on the Firat River located on the $51^{st}$ km of Elazi$\breve{g}$-Malatya highway is obtained by using analytical and experimental results. The 2D and 3D finite element model of the bridge is created by using SAP2000 structural analyses software, and the dynamic characteristics of the bridge are determined analytically. The experimental measurements are carried out by Operational Modal Analysis Method under traffic induced vibrations and the dynamic characteristics are obtained experimentally. The vibration data are gathered from the both box girder and the deck of the bridge, separately. Due to the expansion joint in the middle of the bridge, special measurement points are selected when experimental test setups constitute. Measurement duration, frequency span and effective mode number are determined by considering similar studies in literature. The Peak Picking method in the frequency domain is used in the modal identification. At the end of the study, analytical and experimental dynamic characteristic are compared with each other and the finite element model of the bridge is updated by changing some uncertain parameters such as material properties and boundary conditions. Maximum differences between the natural frequencies are reduced from 10% to 2%, and a good agreement is found between natural frequencies and mode shapes after model updating.

고차경계요소법을 이용한 2차원 비선형 방사문제의 수치해석 (Numerical Analysis of Two-Dimensional Nonlinear Radiation Problem Using Higher-Order Boundary Element Method)

  • 성홍근;최항순
    • 대한조선학회논문집
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    • 제37권1호
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    • pp.67-81
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    • 2000
  • 본 연구에서는 2차원 비선형 방사문제에 대한 정확하고 효과적인 수치기법을 개발하였다. 물체운동에 의해서 생성되는 비선형파계는 이상유체라는 가정에 의하여 기술되고, 라프라스 방정식은 고차경계요소법과 GMRES(Generalized Minimal RESidual) 알고리즘을 이용하여 신속하고 효율적인 풀이가 가능하도록 하였다. 자유표면과 물체면의 교차점에서 발생하는 교차선문제는 불연속 요소를 이용하여 원활하게 해결하였다. 자유표면의 비선형운동을 기술하기 위해서 음해적 사다리꼴 법칙(implicit trapezoidal rule)을 사용하여 시적분하였다. 물체에 의해서 발생한 비선형파가 수직 하류면에서 반사하는 것을 줄이기 위하여 하류면에 수치감쇠항을 도입하였다. 수치계산 결과로부터 본 시적분법 및 수치방사조건이 비선형 방사문제에 매우 적합함을 확인하였다. 시적분 과정에서 자유표면의 격자점들을 재배치함으로써 수치해법의 효율성을 배가하였으며, 교차점근처의 유동 또한 정확하게 기술하였다. 가속도 포텐셜(acceleration potential) 기법을 이용하여 정확하고 안정하게 비선형 방사력을 구하였다. 본 수치계산결과는 다른 수치계산 및 실험결과와 비교하여 볼 때, 좋은 일치를 보인다.

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이종 소재 접합체의 흡습 질량 확산 해석 (A Study of Hygroscopic Moisture Diffusion Analysis in Multimaterial System)

  • 김용연
    • 마이크로전자및패키징학회지
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    • 제18권2호
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    • pp.11-15
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    • 2011
  • 폴리머의 흡습문제를 해석하기 위해 흡습확산 지배방정식과 열전달 방정식을 고찰하였다. 두 방정식의 동일 한 형식의 편미분방정식이기 때문에 상사의 법칙을 적용하여 물체가 등온 하중조건을 받고 있을 때 단일 매질의 확산문 제를 상용유한요소코드에 의해 수치적으로 해석하였다. 여러 소재로 구성된 매체는 흡습질량이 접착면에서 불연속 특성 을 갖기 때문에 확산해석에 상사법칙을 직접적으로 적용할 수 없으나 흡습관련 소재 특성이 온도만의 함수인 소재로 구 성된 매체에서 흡습확산 문제는 접착면에서 연속성을 가지고 있는 압력비를 고려함으로써 해석하였다. 실리콘-비전도성 수지 접합체의 측정된 흡습 변화량은 접합면을 경계조건으로 하고 단일 매체에 대한 해석 결과와 매우 근접한 결과를 보였으나, 복합체로 해석한 결과는 흡습시간이 경과할수록 점점 큰 오차가 발생하였다.

고압 피스톤 펌프용 슬리퍼 베어링의 변형 특성에 관한 연구 (A Study on the Deformation Characteristics of a Slipper Bearing for High Pressure Piston Pump)

  • 고성위;김병탁
    • 한국해양공학회지
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    • 제23권5호
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    • pp.39-44
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    • 2009
  • The hydrostatic slipper bearing is generally used in high pressure axial piston pumps to support the load generated from two surfaces which are sliding relatively at low speed. The object of the bearing is to remove the possibility of direct contact by maintenance of an adequate oil film thickness between two metal surfaces. Because the bearing performance is influenced by the bearing deformation, it is highly dependent on the injection pressure, the bearing surface profile and so on. In this study, the deformation characteristics of a hydrostatic slipper bearing is investigated according to the injection pressure by the finite element analysis. In the analysis, the special boundary condition to take the fluid-structure interaction (FSI) into account is used on the interactive surface. The results, such as bearing deformation, stress and lifting force, obtained from the fully coupled analysis are compared with those from the single step sequential method.

탱크 내부 유체 연성 효과에 의한 보강판의 진동 특성 연구 (A Study on Vibration Characteristic of Stiffened Plates with Fluid Coupling Effect inside a Tank)

  • 정우인;권종현;김문수
    • 대한조선학회 특별논문집
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    • 대한조선학회 2015년도 특별논문집
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    • pp.56-62
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    • 2015
  • In ship structure, many parts are in contact with inner or outer fluid as stern, ballast and oil tanks. Fatigue damages are sometimes observed in these tanks which seem to be caused by resonance with exciting force of engine and propeller. Vibration characteristics of these tanks in contact with fluid are significantly affected by fluid coupling effect. Therefore it is important to exactly predict vibration characteristics of tank structure. In order to estimate the vibration characteristics, the fluid-structure interaction(FSI) problem should be solved precisely. But it is difficult to estimate exactly the magnitude of the fluid coupling effect because it has some problems such as a fluid-structure interaction, influence by the free surface, vibration modes of structural panels and depth of water. In this paper, with fluid coupling effect, the effect of structural constraint between panels on the vibration characteristics are investigated numerically and discussed.

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Analysis of composite plates using various plate theories -Part 1: Formulation and analytical solutions

  • Bose, P.;Reddy, J.N.
    • Structural Engineering and Mechanics
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    • 제6권6호
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    • pp.583-612
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    • 1998
  • A unified third-order laminate plate theory that contains classical, first-order and third-order theories as special cases is presented. Analytical solutions using the Navier and L$\acute{e}$vy solution procedures are presented. The Navier solutions are limited to simply supported rectangular plates while the L$\acute{e}$vy solutions are restricted to rectangular plates with two parallel edges simply supported and other two edges having arbitrary combination of simply supported, clamped, and free boundary conditions. Numerical results of bending and vibration for a number of problems are discussed in the second part of the paper.