• 제목/요약/키워드: Finite-elements analysis

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유한요소-전달강성계수법에 의한 이산계 곡선보의 자유진동해석 (Free Vibration Analysis of Curved Beams Regarded as Discrete System Using Finite Element-Transfer Stiffness Coefficient Method)

  • 최명수;여동준
    • 동력기계공학회지
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    • 제21권1호
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    • pp.37-42
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    • 2017
  • A curved beam is one of the basic and important structural elements in structural design. In this paper, the authors formulated the computational algorithm for analyzing the free vibration of curved beams using the finite element-transfer stiffness coefficient method. The concept of the finite element-transfer stiffness coefficient method is the combination of the modeling technique of the finite element method and the transfer technique of the transfer stiffness coefficient method. And, we confirm the effectiveness the finite element-transfer stiffness coefficient method from the free vibration analysis of two numerical models which are a semicircle beam and a quarter circle beam.

PREFLEX BEAM 제작시의 용접부 역학적 특성에 관한 연구 (A Study on the Analysis for Welding Residual Stress of Preflex Beam)

  • 방한서;주성민;안해영
    • 한국해양공학회지
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    • 제17권6호
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    • pp.65-71
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    • 2003
  • Since the preflex beam is fabricated through welding, the pre-compressive stresses that should occur over the concrete pier are diminished by the welding residual stresses. Therefore welding residual stresses must be relieved during the fabrication. Therefore, the analysis and examination of the accurate welding residual stress distribution characteristics are necessary. In this study, accurate distribution of welding residual stress of the preflex beam is analyzed by the finite element method, using 2 dimensional and 3 dimensional elements. Further, the thermo-mechanical behavior of the preflex beam is also studied. After the finite element analysis, real distribution of welding residual stress is measured using the sectioning method, and then is compared with the simulation results. The distribution of welding residual stress by finite analysis agreed well with the experimental results.

되풀이 소성영역 크기를 이용한 피로 균열 닫힘 거동의 유한요소해석 (Finite Element Analysis for Fatigue Crack Closure Behavior Using Reversed Plastic Zone Size)

  • 최현창
    • 대한기계학회논문집A
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    • 제27권10호
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    • pp.1703-1711
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    • 2003
  • An elastic-plastic finite element analysis is performed to investigate detailed closure behaviour of fatigue cracks in residual stress fields and the numerical results are compared with experimental results. The finite element analysis performed under plane stress using contact elements can predict fatigue crack closure behaviour. The mesh of constant element size along crack surface can not predict the opening level of fatigue crack. Specially, the mesh of element sizes depending upon the reversed plastic zone size included the effect of crack opening point can precisely predict the opening level. By using the concept of the mesh of element sizes depending upon the reversed plastic zone size included the effect of crack opening point, the opening level of fatigue crack can be determined very well.

A Study on the Determination of Closing Level for Finite Element Analysis of Fatigue Crack Closure

  • Choi, Hyeon-Chang
    • Journal of Mechanical Science and Technology
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    • 제14권4호
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    • pp.401-407
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    • 2000
  • An elastic-plastic finite element analysis is performed to investigate detailed closure behavior of fatigue cracks and the numerical results are compared with experimental results. The finite element analysis performed under plane stress using 4-node isoparametric elements can predict fatigue crack closure behavior. The mesh of constant element size along crack surface can not predict the opening level of fatigue crack. The crack opening level for the constant mesh size increases linearly from initial crack growth. The crack opening level for variable mesh size, is almost flat after crack tip has passed the monotonic plastic zone. The prediction of crack opening level using the variable mesh size proportioning the reversed plastic zone size with the opening stress intensity factors presents a good agreement with the experimental data regardless of stress ratios.

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유한요소의 개선에 따른 형상최적화 향상에 관한 연구 (A Study on the Improvement of Shape Optimization associated with the Modification of a Finite Element)

  • 성진일;유정훈
    • 대한기계학회논문집A
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    • 제26권7호
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    • pp.1408-1415
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    • 2002
  • In this paper, we investigate the effect and the importance of the accuracy of finite element analysis in the shape optimization based on the finite element method and improve the existing finite element which has inaccuracy in some cases. And then, the shape optimization is performed by using the improved finite element. One of the main stream to improve finite element is the prevention of locking phenomenon. In case of bending dominant problems, finite element solutions cannot be reliable because of shear locking phenomenon. In the process of shape optimization, the mesh distortion is large due to the change of the structure outline. So, we have to raise the accuracy of finite element analysis for the large mesh distortion. We cannot guarantee the accurate result unless the finite element itself is accurate or the finite elements are remeshed. So, we approach to more accurate shape optimization to diminish these inaccuracies by improving the existing finite element. The shape optimization using the modified finite element is applied to a two and three dimensional simple beam. Results show that the modified finite element has improved the optimization results.

유한요소와 무한요소를 사용한 2차원 선형 지반-구조물계의 지진응답해석법 (Seismic Response Analysis Method for 2-D Linear Soil-Structure Systemsusing Finite and Infinite Elements)

  • 김재민;윤정방;김두기
    • 한국전산구조공학회논문집
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    • 제13권2호
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    • pp.231-244
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    • 2000
  • 본 연구에서는 지하철구조물, 터널구조물 및 제방 등과 같은 2차원 지반-구조계의 지진응답해석을 위한 주파수영역 동적해석법을 제시하였다. 제시한 방법에서는 구조물과 구조물 주변 근역지반은 유한요소를 이용하고 원역지반은 주파수종속 동적무한요소를 이용하여 모형화하였다. 지진입력은 입력지진파를 수직으로 입사하는 P-파와 SV-파로 가정하여 자유장응답을 구하였으며 외부고정경계법을 적용하여 등가지진하중을 산정하였다. 본 연구기법의 검증을 위하여, 층상 자유장지반과 균질 반무한지반에 매입된 원동형 공동에 대하여 지진응답을 수행하였다. 이들을 다른 기법에 의한 해와 비교한 결과, 본 연구의 기법이 매우 정확함을 알 수 있었다. 마지막으로 지하철 역사의 지진응답해석 예제를 제시하여 본 연구의 적용성을 보였다.

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Sensitivity analysis for finite element modeling of humeral bone and cartilage

  • Bola, Ana M.;Ramos, A.;Simoes, J.A
    • Biomaterials and Biomechanics in Bioengineering
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    • 제3권2호
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    • pp.71-84
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    • 2016
  • The finite element method is wide used in simulation in the biomechanical structures, but a lack of studies concerning finite element mesh quality in biomechanics is a reality. The present study intends to analyze the importance of the mesh quality in the finite element model results from humeral structure. A sensitivity analysis of finite element models (FEM) is presented for the humeral bone and cartilage structures. The geometry of bone and cartilage was acquired from CT scan and geometry reconstructed. The study includes 54 models from same bone geometry, with different mesh densities, constructed with tetrahedral linear elements. A finite element simulation representing the glenohumeral-joint reaction force applied on the humerus during $90^{\circ}$ abduction, with external load as the critical condition. Results from the finite element models suggest a mesh with 1.5 mm, 0.8 mm and 0.6 mm as suitable mesh sizes for cortical bone, trabecular bone and humeral cartilage, respectively. Relatively to the higher minimum principal strains are located at the proximal humerus diaphysis, and its highest value is found at the trabecular bone neck. The present study indicates the minimum mesh size in the finite element analyses in humeral structure. The cortical and trabecular bone, as well as cartilage, may not be correctly represented by meshes of the same size. The strain results presented the critical regions during the $90^{\circ}$ abduction.

강성저감을 고려한 플랫슬래브 구조물의 지진해석 (Seismic Analysis of Flat Slab Structures considering Stiffness Degradation)

  • 김현수;이승재;이동근
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2003년도 추계 학술발표회논문집
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    • pp.191-198
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    • 2003
  • Flat slab system has been adopted in many buildings constructed recently because of the advantage of reduced floor heights to meet the economical and architectural demands. Structural engineers commonly use the equivalent frame method(EFM) with equivalent beams proposed by Jacob S. Grossman in practical engineering for the analysis of flat slab structures. However, in many cases, when it is difficult to use the EFM, it is necessary to use a refined finite element model for an accurate analysis. But it would take significant amount of computational time and memory if the entire building structure were subdivided into a finer mesh. An efficient analytical method is proposed in this study to obtain accurate results in significantly reduced computational time. The proposed method employs super elements developed using the matrix condensation technique and fictitious beams are used in the development of super elements to enforce the compatibility at the interfaces of super elements. The stiffness degradation of flat slab system considered in the EFM was taken into account by reducing the elastic modulus of floor slabs in this study. Static and dynamic analyses of example structures were peformed and the efficiency and accuracy of the proposed method were verified by comparing the results with those of the refined finite element model and the EFM.

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Buckling analysis of complex structures with refined model built of frame and shell finite elements

  • Hajdo, Emina;Ibrahimbegovic, Adnan;Dolarevic, Samir
    • Coupled systems mechanics
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    • 제9권1호
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    • pp.29-46
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    • 2020
  • In this paper we deal with stability problems of any complex structure that can be modeled by beam and shell finite elements. We use for illustration the steel plate girders, which are used in bridge construction, and in industrial halls or building construction. Long spans, slender cross sections exposed to heavy loads, are all critical design points engineers must take into account. Knowing the critical load that will cause lateral torsional buckling of the girder, or load that can lead to web buckling, as an important scenario to consider in a design process.Many of such problem, including lateral torsional buckling with influence of lateral supports and their spacing on critical load can be solved by the proposed method. An illustrative study of web buckling also includes effects of position and spacing of transverse and longitudinal web stiffeners, where stiffeners can be modelled optionally using shell or frame elements.

고차 등매개요소에서 내부절점의 위치와 해의 안정성 연구 (A study on the solution stability by the position of internal nodes in hihger order isoparametric elements)

  • 이준희;임장근
    • 대한기계학회논문집A
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    • 제21권12호
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    • pp.1973-1983
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    • 1997
  • Higher order isoparametric elements are usually used in the finite element analysis because they can represent easily the geometric shape of a complex structure ad can improve the solution quality. When these elements are used, the position of internal nodes affects greatly on the solution accuracy. Decreasing of the accuracy related to the position of internal nodes is due to non-conformal mapping often results in an unstable Jacobian value. This paper, in order to remove this difficulty, suggests a modified shape function which can establish conformal mapping between two coordinate systems. Numerical experiments with the proposed shape function show that a stable solution can be obtained without respect to the position of internal nodes, and offer convenience that one can take arbitrarily the position of internal nodes considering only the geometric shape of element boundaries.