• Title/Summary/Keyword: incompatible finite element

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Buckling Analysis of New Construction Material(GFRP) (건설신소재(섬유보강 플라스틱관 : GFRP)의 좌굴해석에 관한 연구)

  • 조병완;조태준
    • Computational Structural Engineering
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    • v.8 no.2
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    • pp.133-140
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    • 1995
  • The buckling analysis of Glass Fiber Reinforced Plastic pipes was studied through a three dimentsional finite element method. In the finite element analysis, an improved degenerated shell element with incompatible modes and assumed shear strain fields are employed with 3 displacements and 2 rotations for each joints. Buckling analysis is carried out for various thicknesses and different fiber orientations. Finite element results show that the buckling load increases as the thickness does with the variation of coupling stiffness.

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Formulation and evaluation of incompatible but convergent rational quadrilateral membrane elements

  • Batoz, J.L.;Hammadi, F.;Zheng, C.;Zhong, W.
    • Structural Engineering and Mechanics
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    • v.9 no.2
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    • pp.153-168
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    • 2000
  • This paper presents four incompatible but convergent Rational quadrilateral elements, two four-node elements (RQ4Z and RQ4B) and two five-node elements (RQ5Z and RQ5B). The difference between the so-called Rational Finite Element (Zhong and Zeng 1996) and the Free Formulation (Bergan and Nygard 1984) are discussed and compared. The importance of the mode completeness in these formulations is emphasized. Numerical results for several benchmark problems show the good performance of these elements. The two five-nodes elements RQ5Z and RQ5B, which can be viewed as complete quadratic mode elements (with seven stress modes), always give better results than the four nodes elements RQ4Z and RQ4B.

2D evaluation of crack openings using smeared and embedded crack models

  • Gamino, Andre Luis;Manzoli, Osvaldo Luis;de Oliveira e Sousa, Jose Luiz Antunes;Bittencourt, Tulio Nogueira
    • Computers and Concrete
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    • v.7 no.6
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    • pp.483-496
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    • 2010
  • This work deals with the determination of crack openings in 2D reinforced concrete structures using the Finite Element Method with a smeared rotating crack model or an embedded crack model. In the smeared crack model, the strong discontinuity associated with the crack is spread throughout the finite element. As is well known, the continuity of the displacement field assumed for these models is incompatible with the actual discontinuity. However, this type of model has been used extensively due to the relative computational simplicity it provides by treating cracks in a continuum framework, as well as the reportedly good predictions of reinforced concrete members' structural behavior. On the other hand, by enriching the displacement field within each finite element crossed by the crack path, the embedded crack model is able to describe the effects of actual discontinuities (cracks). This paper presents a comparative study of the abilities of these 2D models in predicting the mechanical behavior of reinforced concrete structures. Structural responses are compared with experimental results from the literature, including crack patterns, crack openings and rebar stresses predicted by both models.

Methodology of Tolerance Analysis of Deformable Assembly (변형을 고려한 공차분석 방법론)

  • Lee, Kwang-Soo
    • Journal of the Korean Society of Safety
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    • v.22 no.6
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    • pp.20-26
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    • 2007
  • The new integrated CAD-CAM systems induce an increasing demand for simulation tools, which are able to simulate industrial part assembly processes by welding, gluing, riveting or bolting(more generally by fastening). Concerning fastened flexible parts, there exist no efficient computational aid on tolerance and methodology available on the field. The first part briefly presents the approach method based on the finite element method for TADA(Tolerance Analysis of Deformable Assemblies). The second part compares the results obtained by simulation using the commercial FEM code with the measurements. The principal elements of dispersion have been identified and studied on an experimental basis in order to test the robustness of the TADA model. This has enabled us to verify the model's possibilities as regards industrial constraints such as the use of incompatible meshes or the use of triangular elements and so on.

Improvement of Enhanced Assumed Strain Four-node Finite Element Based on Reissner-Mindlin Plate Theory (개선된 추가변형률 4절점 평판휨 요소)

  • Chun, Kyoung Sik;Park, Dae Yong;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.16 no.3 s.70
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    • pp.295-303
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    • 2004
  • In this paper, an improved four-node Reissner-Mindlin plate-bending element with enhanced assumed strain field is presented for the analysis of isotropic and laminated composite plates. To avoid the shear locking and spurious zero energy modes, the transverse shear behavior is improved by the addition of a new enhanced shear strain based on the incompatible displacement mode approach and bubble function. The "standard" enhanced strain fields (Andelfinger and Ramm, 1993) are also employed to improve the in-plane behaviors of the plate elements. The four-node quadrilateral element derived using the first-order shear deformation theory is designated as "14EASP". Several applications are investigated to assess the features and the performances of the proposed element. The results are compared with other finite element solutions and analytical solutions. Numerical examples show that the element is stable, invariant, passes the patch test, and yields good results especially in highly distorted regimes.

Structural Dynamics Modification of Structures Having Non-Conforming Nodes Using Component Mode Synthesis and Evolution Strategies Optimization Technique (부분 구조 모드 합성법 및 유전 전략 최적화 기법을 이용한 비부합 절점을 가진 구조물의 구조변경)

  • 이준호;정의일;박윤식
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.651-659
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    • 2002
  • Component Mode Synthesis (CMS) is a dynamic substructuring technique to get an approximate eigensolutions of large degree-of-freedom structures divisible into several components. But, In practice. most of large structures are modeled by different teams of engineers. and their respective finite element models often require different mesh resolutions. As a result, the finite element substructure models can be non-conforming and/or incompatible. In this work, A hybrid version of component mode synthesis using a localized lagrange multiplier to treat the non-conforming mesh problem was derived. Evolution Strategies (ESs) is a stochastic numerical optimization technique and has shown a robust performance for solving deterministic problems. An ESs conducts its search by processing a population of solutions for an optimization problem based on principles from natural evolution. An optimization example for raising the first natural frequency of a plate structure using beam stiffeners was presented using hybrid component mode synthesis and robust evolution strategies (RES) optimization technique. In the example. the design variables are the positions and lengths of beam stiffeners.

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The Design of Suction and Discharge Valve of Automotive Swash Plate Type Compressor (자동차용 사판식 압축기의 흡, 토출밸브 설계)

  • Lee, Geon-Ho;Kwon, Yun-Ki
    • The KSFM Journal of Fluid Machinery
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    • v.9 no.2 s.35
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    • pp.13-18
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    • 2006
  • This paper was studied to design Process considered flexibility and reliability of suction and discharge valves. Flexibility and reliability of valves are main important factors in compressor valves design. And they are incompatible with efficiency of compressor. In this study, we have performed the optimal design of CO2 compressor valves to consider these factors. At first, we analyzed performance simulation of compressor to obtain optimal flexibility level of valves. From this simulation, we could get some important data at valve design like the optimal natural frequency and the height of retainer. After that we studied to reliability of valves corresponding to optimal flexibility level by finite element method. For each case bending stress and natural frequency were obtained by it. Also we investigated the fatigue stability to obtain optimal valve shape that ensured to reliability.

Finite Element Model Updating Using Satisficing Trade-off Method (Satisficing Trade-off 방법을 이용한 유한요소 모델 개선)

  • Kim, Gyeong-Ho;Park, Youn-Sik
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.295-300
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    • 2002
  • In conventional model updating using single-objective optimization techniques, incompatible physical data are compared with each other using weighting factors. There are no general rules for selecting the weighting factors since they are not directly related with the dynamic behavior of an updated model. So one of the most difficult tasks, in model updating study, is 'balancing among the correlations' i.e. 'trade-off'. In this work, a multiobjecitive optimization technique called 'satisficing trade-off method' is introduced to extremize several correlations simultaneously. The absurd need for the weighting factors can be avoided using this technique. And the updated model with the most appropriate correlations is obtained easily in interactive way. Especially automatic trade-off is employed to increase the rate of convergence to the desired model. Its effectiveness is verified by application to a real engineering problem, HDD cover model updating.

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A 9-node Degenerated Shell Element for Inelastic Analysis of Reinforced Concrete Structures (철근 콘크리트 구조물의 비탄성 해석을 위한 9절점 퇴화 쉘 요소)

  • 이상진;서정문
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.4
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    • pp.481-494
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    • 2001
  • An enhanced degenerated shell finite element (FE), which has been developed for inelastic analysis of reinforced concrete structures is described in this paper. Generally, Reissner-Mindlin (RM) assumptions are adopted to develop the degenerated shell FE so that transverse shear deformation effects is considered. However, it is found that there are serious defects such as locking phenomena in RM degenerated shell FE since the stiffness matrix has been overestimated in some situations. As remedies of locking phenomena, reduced integration, incompatible mode and assumed strain method have been used. Especially, the assumed strain method has been successfully used in many FEs. But contrarily, there is a few investigation on the performance of the assumed strains in the inelastic analysis of concrete structures. Therefore, shell formulation is provided in this paper with emphasis on the terms related to the stiffness matrix based on assumed strain method and microscopic concrete material model. Finally, the performance of the present shell element is tested and demonstrated with several numerical examples. From the numerical tests, the present result shows a good agreement with experimental data or other numerical results.

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Development of Three-Dimensional Finite Element Model for Structural Analysis of Airport Concrete Pavements (공항 콘크리트 포장 구조해석을 위한 3차원 유한요소 모형 개발)

  • Park, Hae Won;Shim, Cha Sang;Lim, Jin Seon;Joe, Nam Hyun;Jeong, Jin Hoon
    • International Journal of Highway Engineering
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    • v.19 no.6
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    • pp.67-74
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    • 2017
  • PURPOSES : In this study, a three-dimensional nonlinear finite element analysis (FEA) model for airport concrete pavement was developed using the commercial program ABAQUS. Users can select an analysis method and set the range of input parameters to reflect actual conditions such as environmental loading. METHODS : The geometrical shape of the FEA model was chosen by considering the concrete pavement located in the third-stage construction site of Incheon International Airport. Incompatible eight-node elements were used for the FEA model. Laboratory test results for the concrete specimens fabricated at the construction site were used as material properties of the concrete slab. The material properties of the cement-treated base suggested by the Federal Aviation Administration(FAA) manual were used as those of the lean concrete subbase. In addition, preceding studies and pavement evaluation reports of Incheon International Airport were referred for the material properties of asphalt base and subgrade. The kinetic friction coefficient between the concrete slab and asphalt base acquired from a preceding study was used for the friction coefficient between the layers. A nonlinear temperature gradient according to slab depth was used as an input parameter of environmental loading, and a quasistatic method was used to analyze traffic loading. The average load transfer efficiency obtained from an Heavy falling Weight Deflectomete(HWD) test was converted to a spring constant between adjacent slabs to be used as an input parameter. The reliability of the FEA model developed in this study was verified by comparing its analysis results to those of the FEAFAA model. RESULTS : A series of analyses were performed for environmental loading, traffic loading, and combined loading by using both the model developed in this study and the FEAFAA model under the same conditions. The stresses of the concrete slab obtained by both analysis models were almost the same. An HWD test was simulated and analyzed using the FEA model developed in this study. As a result, the actual deflections at the center, mid-edge, and corner of the slab caused by the HWD loading were similar to those obtained by the analysis. CONCLUSIONS : The FEA model developed in this study was judged to be utilized sufficiently in the prediction of behavior of airport concrete pavement.