• 제목/요약/키워드: element order

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모형 지반의 최대 전단탄성계수 평가를 위한 벤더 엘리먼트 시험의 적용 (Application of Bender Element Tests for the Estimation of Maximum shear Modulus in Calibration Chamber)

  • 권형민;고영주;정충기
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 추계 학술발표회
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    • pp.1278-1284
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    • 2008
  • This study carried out bender element tests in a calibration chamber in order to estimate the characteristics of soil specimen prepared in a calibration chamber. Basically, the purpose of bender element test is to measure the shear wave velocity. Bender element test cannot only confirm the status of soil specimen deposited in a chamber, but also estimate the consolidation process indirectly. In order to carry out bender element test in a calibration chamber, a pair of bender elements was installed inside the chamber, using the 'ㄷ' shaped frame. For the sandy soils having various relative densities in various stress conditions, the maximum shear modulus was estimated. From the comparison with bender element test results in a triaxial testing device, testing device and procedure was validated.

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경계 요소법에 의한 직교 이방성 다결정 재료의 응력해석에 관한 연구 (A Study of Stress Analysis of Multi-Grain Orthotropic Material by BEM)

  • 김동은;이상훈;정일중;이석순
    • 한국정밀공학회지
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    • 제25권4호
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    • pp.127-133
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    • 2008
  • As the application of the MEMS parts increases, the structural safety of MEMS appears importantly. A lot of MEMS parts are made by a multi-grain silicon wafer, which is an orthotropic material. Moreover directions of the materials on each grain are distributed randomly. The stress analysis for the multi-grain is important factor in order to apply the MEMS parts to industrial applications. The finite element method (FEM) is commonly used by a stress analysis method but the boundary element method (BEM) is known as the result of the BEM is more accurate than that of the FEM since the fundamental solution are used. In this study, we derived the boundary integration equation for the orthotropic material by applying fundamental solutions with complex variables. The multi-region analysis procedure for the BEM and the multi-grain generation procedure by a random process technique are developed in order to apply the analysis of the multi-grain orthotropic material. The discontinuous element is used in order to remove the comer problem in the BEM. The results of the present method are compared with those of the finite element method in order to verify the present procedure.

면방향(面方向) 고차변위(高次變位)를 고려(考慮)한 평판(平板) 유한요소(有限要素)모델 (Plate Bending Finite Element Model Using Higher-order Inplane Displacement Profile)

  • 신현묵;신영식;김형렬
    • 대한토목학회논문집
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    • 제7권1호
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    • pp.65-73
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    • 1987
  • 본(本) 연구(硏究)에서는 면내(面內) 고차(高次) 수평변위(水平變位)를 고려(考慮)한 6절점(節點) 21자유도(自由度)를 갖는 판(板) 유한요소(有限要素)를 Galerkin 가중잔차법(加重殘差法)으로 3차원(次元) 연속체(連續體)로부터 유도(誘導)하고 있다. 요소(要素)의 강성행렬(剛性行列)과 질량행렬(質量行列)은 판의(板) 운동방정식(運動方程式)을 이산화(離散化)(discretization)하여 ($3{\times}3$) Gauss 적분점(積分點)을 이용(利用)한 감차(減次) 적분(積分)을 수행(遂行)하여 구하였다. 본(本) 고차(高次) 판(板) 유한요소(有限要素)의 정확도(正確度)와 효율성(効率性)을 고찰(考察)하기 위하여 여러가지 경계조건(境界條件)을 갖는 정사각형(正四角形) 판(板)의 처짐해석(解析)을 수행(遂行)한 결과(結果), 판(板)의 두께에 관계없이 월등(越等)한 정확도(正確度)를 나타내었다.

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A force-based element for direct analysis using stress-resultant plasticity model

  • Du, Zuo-Lei;Liu, Yao-Peng;Chan, Siu-Lai
    • Steel and Composite Structures
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    • 제29권2호
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    • pp.175-186
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    • 2018
  • The plastic hinge method and the plastic zone method are extensively adopted in displacement-based elements and force-based elements respectively for second-order inelastic analysis. The former enhances the computational efficiency with relatively less accurate results while the latter precisely predicts the structural behavior but generally requires more computer time. The displacement-based elements receive criticism mainly on plasticity dominated problems not only in accuracy but also in longer computer time to redistribute the forces due to formation of plastic hinges. The multi-element-per-member model relieves this problem to some extent but will induce a new problem in modeling of member initial imperfections required in design codes for direct analysis. On the contrary, a force-based element with several integration points is sufficient for material yielding. However, use of more integration points or elements associated with fiber section reduces computational efficiency. In this paper, a new force-based element equipped with stress-resultant plasticity model with minimal computational cost is proposed for second-order inelastic analysis. This element is able to take the member initial bowing into account such that one-element-per-member model is adequate and complied with the codified requirements of direct analysis. This innovative solution is new and practical for routine design. Finally, several examples demonstrate the validity and accuracy of the proposed method.

선형요소를 사용하여 판넬존 변형을 고려한 해석 모텔 (The Analytical Model Considering the Deformation of Panel Zone with Linear Element)

  • 조소훈;박찬헌;이동근
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 봄 학술발표회 논문집
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    • pp.293-300
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    • 2004
  • As the structure is taller and its member is larger, the effect of the deformation of Panel zone on the displacement of structure becomes larger. The analysis using the centerline dimensions in the steel moment frame structure can not consider the accurate effect of panel ton And the finite element analysis using infinitesimal solid and shell element is impractical for the total tall building structure. Therefore, this paper proposes the analytical model using linear element in order to be able to evaluate the reasonable deformation of panel zone. the proposed analytical model makes the analysis of the building structure simple and ease because it uses the only linear elements. In addition it can easily incorporate the various parameters affecting the deformation of panel zone. In order to prove the validith of the prosed analytical model, the analysis result using the proposed analytical model is compared with the result using finite element analysis with shell element

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Vibration and buckling of laminated beams by a multi-layer finite element model

  • Kahya, Volkan;Turan, Muhittin
    • Steel and Composite Structures
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    • 제28권4호
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    • pp.415-426
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    • 2018
  • This paper presents a multi-layer finite element for buckling and free vibration analyses of laminated beams based on a higher-order layer-wise theory. An N-layer beam element with (9N + 7) degrees-of-freedom is proposed for analyses. Delamination and slip between the layers are not allowed. Element matrices for the single- and multi-layer beam elements are derived by Lagrange's equations. Buckling loads and natural frequencies are calculated for different end conditions and lamina stacking. Comparisons are made to show the accuracy of proposed element.

효율적인 C0 적층 곡선보 요소의 개발 (A New and Efficient C0 Laminated Curved Beam Element)

  • 김진곤;강상욱
    • 대한기계학회논문집A
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    • 제27권4호
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    • pp.559-566
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    • 2003
  • In this study, we present a new highly accurate two-dimensional curved composite beam element. The present element, which is based on the Hellinger-Reissner variational principle and classical lamination theory, employs consistent stress parameters corresponding to cubic displacement polynomials with additional nodeless degrees to resolve the numerical difficulties due to the spurious constraints. The stress parameters are eliminated and the nodeless degrees are condensed out to obtain the (9x9) element stiffness matrix. It should be noted that the stacking sequences without transverse deformation to the load plane makes a two dimensional analysis of curved composite beams practically useful . Several numerical examples confirm the superior locking-free behavior of the present higher-order laminated curved beam element.

Spline/NURBS 자유곡면과 쉘 해석의 연동 (The Linkage between Spline/NURBS Free Surface and Shell Finite Element Analysis)

  • 노희열;조맹효
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.303-310
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    • 2001
  • We propose the framework which directly links shell finite element to the free form surface geometric modeling. For the development of a robust shell element, a first order shear deformable shell theory and partial mixed variational functional are provided. Bubble functions are included in the shape function of displacement to improve the performance of the developed element. The Spline/NURBS is used to generate the general free form of parameterized shell surfaces. The proposed shell finite element model linked with NURBS surface representation provides efficiency for design and analysis. Numerical examples are given in order to assess the accuracy of the performances of the proposed element.

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Interval finite element method based on the element for eigenvalue analysis of structures with interval parameters

  • Yang, Xiaowei;Chen, Suhuan;Lian, Huadong
    • Structural Engineering and Mechanics
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    • 제12권6호
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    • pp.669-684
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    • 2001
  • A new method for solving the uncertain eigenvalue problems of the structures with interval parameters, interval finite element method based on the element, is presented in this paper. The calculations are done on the element basis, hence, the efforts are greatly reduced. In order to illustrate the accuracy of the method, a continuous beam system is given, the results obtained by it are compared with those obtained by Chen and Qiu (1994); in order to demonstrate that the proposed method provides safe bounds for the eigenfrequencies, an undamping spring-mass system, in which the exact interval bounds are known, is given, the results obtained by it are compared with those obtained by Qiu et al. (1999), where the exact interval bounds are given. The numerical results show that the proposed method is effective for estimating the eigenvalue bounds of structures with interval parameters.

Sensitivity Analysis of the Galerkin Finite Element Method Neutron Diffusion Solver to the Shape of the Elements

  • Hosseini, Seyed Abolfazl
    • Nuclear Engineering and Technology
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    • 제49권1호
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    • pp.29-42
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    • 2017
  • The purpose of the present study is the presentation of the appropriate element and shape function in the solution of the neutron diffusion equation in two-dimensional (2D) geometries. To this end, the multigroup neutron diffusion equation is solved using the Galerkin finite element method in both rectangular and hexagonal reactor cores. The spatial discretization of the equation is performed using unstructured triangular and quadrilateral finite elements. Calculations are performed using both linear and quadratic approximations of shape function in the Galerkin finite element method, based on which results are compared. Using the power iteration method, the neutron flux distributions with the corresponding eigenvalue are obtained. The results are then validated against the valid results for IAEA-2D and BIBLIS-2D benchmark problems. To investigate the dependency of the results to the type and number of the elements, and shape function order, a sensitivity analysis of the calculations to the mentioned parameters is performed. It is shown that the triangular elements and second order of the shape function in each element give the best results in comparison to the other states.