• Title/Summary/Keyword: incompatible finite element

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Incompatible Three-Dimensional Hexagonal Finite Elements by Multivariable Method (다변수 변분해법에 의한 비적합 8절점 육면체 요소)

  • Ju, Sang-Baek;Sin, Hyo-Chol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.7
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    • pp.2078-2086
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    • 1996
  • This paper introduces two three-dimensional eight-node hexagonal elements obtained by using multivariable variational mehtod. Both of them are based on the modified hellinger-reissner principle to employ incompatible displacements and assumed stresses of assumed strains. The internal functions of element are introduced to as element formulation through two different methods : the first one uses the functions determined directly from the element boundary condition of the incompatible displacements ; while the second, being a kind of B-bar mehtod, employs the modification technique of strain-displacement matrix to pass the patch test. The elements are evaluated on the selective problems of bending and material incompressibility with regular and distorted meshes. The results show that the new elements perform with good accuracy in both of deformation and stress calculation and they are insensitive to distorted geometry of element.

Incompatible finite Elements for Axisymmetric Structure with Assumed Strains (가상 변형률을 갖는 비적합 4절점 축대칭 요소)

  • 주상백;신효철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.2
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    • pp.486-494
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    • 1995
  • This paper introduces two kinds of new four-node quadrilateral axisymmetric elements with independently-assumed strains. They are formulated by the modified Hellinger-Reissner principle so as to employ incompatible displacements and assumed strains. In one of the present elements, the strains from incompatible displacements are corrected to pass the constant strain patch test. The other contains incompatible functions that are obtained from the element boundary condition. The elements are evaluated on the several problems of bending and material incompressibility with regular and distorted meshes. The results show that the new element performs excellently in deformation and stress calculation.

Finite Element Analysis for Performance Evaluation of Lightweight Piezo-composite Curved Acutator (경량 압전 작동기(LIPCA)의 작동성능 평가를 위한 유한요소 해석)

  • 구남서;박훈철;윤광준
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.11a
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    • pp.135-140
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    • 2000
  • A numerical method fur performance evaluation of LIPCA is proposed using a finite element method. Fully coupled formulations for piezo-electric material are introduced and eight-node incompatible element is used. After verifying the developed code, the behaviors of LIPCA and $THUNDER^{TM}$ are investigated.

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Shape Estimation for the Control of Composite Smart Sstructure Using Piezoceramics (복합재료 지능구조물의 제어를 위한 압전소자를 이용한 변형형상예측)

  • Ha, Seong-Gyu;Jo, Yeong-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.4
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    • pp.1133-1145
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    • 1996
  • A method is proposed to predict the deformed shape of the structure subjected to the unknown external loads using the signal from the piezoceramic sensors. Such a shape estimation is based on the linear relationship between the deformation of structure and the signal from sensor, which is calculated using finite element method. The deformed shape is, then calculated using the linear matrix and the signals from the piezoceramic sensors attached to the structures. For the purpose, a structural analysis program is developed using a multi-layerd finite element of 8 nodes with 3 displacement and one voltage degrees of freedom at each node. The multiple layers with the different material properties can be layered within the element. The incompatible mode with the element is found to be crucial to catch the bending behavior accurately. The accuracy of the program is, then, verified by being compared with the experimental results performed by Crawley. The proposed shape estimation method is also verified for the different loads and sensor size. It is shown that the results of shape estimation method using the linear matrix well predicts the deflections compared with those of finite element method.

Selection of the Optimal Finite Element Type by Material Hardening Behavior Model in Elbow Specimen (엘보우 시편에서의 재료 경화 거동 모델에 따른 최적의 유한 요소 선정)

  • Heo, Eun Ju;Kweon, Hyeong Do
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.13 no.1
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    • pp.84-91
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    • 2017
  • This paper is proposed to select the optimal finite element type in finite element analysis. Based on the NUREG reports, static analyses were performed using a commercial analysis program, $ABAQUS^{TM}$. In this study, we used a nonlinear kinematic hardening model proposed by Chaboche. The analysis result of solid elements by inputting the same material constants was different from the results of the NUREG report. This is resulted from the difference between shell element and solid element. Therefore, the material constants that have similar result to the experimental result were determined and compared according to element type. In case of using solid element for efficient finite element analysis, we confirmed that the use of C3D8I element type(incompatible mode 8-node linear brick element) leads the accurate result while reducing the analysis time.

Nonlinear Analysis of the Connections with Reinforced Concrete Column and Steel Beam using Finite Element Method (유한요소법을 이용한 혼합구조 접합부의 비선형 해석)

  • Hong, Seong-Hoon;Ryu, Cheon;Lee, Li-Hyung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.363-370
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    • 1999
  • This study presented an modeling method for the connections in mixed structure with reinforced concrete columns and steel beam using finite element method. The contacting surfaces between concrete and steel are modeled using master-slave contact algorithm and the incompatible mode elements were used in the steel tube subjected to bending. The characteristics of mixed structure was that diaphragm was used for transferring force from beam to column. The three dimensional nonlinear analysis was performed and the analytical results compared with experimental results in order to prove modeling method.

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A new incompatible mixed formulation for incompressible and nearly-incompressible media (비압축성 문제에 대한 비적합 복합유한요소 정식화)

  • Ju, Sang-Baek;Sin, Hyo-Chol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.2
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    • pp.365-371
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    • 1998
  • In the present study, we attempted to add the incompatible functions as additional variable terms to the conventional u-p formulation. It is derived from the four-field generalized variational principle that encompasses velocity, pressure, velocity strains and stress fields as independent interpolated variables. As a severe test of the present formulation, we have investigated the driven cavity with the corner velocity singularity like leaky lid. Through the test, the present element performs very well without unstable oscillation of pressure distribution.

A 3-Dimentional Finite-Element Vibration Analysis of Blade Groups for Steam Turbines (증기 터빈 블레이드 그룹의 3차원 유한요소 진동 해석)

  • 서자력;류석주;박종포
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.729-734
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    • 2001
  • A 3-dimentional finite element model for vibration analysis of steam-turbine blade groups is presented, employing the 3-dimentional incompatible brick element with 8 nodes. The skew coordinate system is introduced in the model for considering multi-axis symmetry and specialty of displacement constrain condition of blade groups. Vibration characteristics of blade groups are analyzed, and compared with experimental results.

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Finite Element Analysis for Actuating Performance Evaluation of LIghtweight Piezo-composite Curved Acutator (경량 압전복합재료 곡면형 작동기(LIPCA)의 작동성능 평가를 위한 유한요소 해석)

  • Gu, Nam-Seo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.11
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    • pp.1881-1886
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    • 2001
  • A numerical method for actuating performance evaluation of LIPCA proposed using a finite element method. Fully coupled formulations for piezo-electric materials were introduced and 3-dimensional eight-node incompatible element was used. After verifying the developed code with typical examples, the center deflections of LIPCA were calculated and compared with the experimental result, which were in fairly agreement.

Low-Velocity Impact Response Analysis of Composite Laminates Considering Higher Order Shear Deformation and Large Deflection (고차전단변형과 대처짐을 고려한 복합적층판의 저속충격거동 해석)

  • 최익현;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.12
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    • pp.2982-2994
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    • 1993
  • Low-velocity impact responses of composite laminates are investigated using the finite element method based on various theories. In two-dimensional nonlinear analysis, a displacement field considering higher order shear deformation and large deflection of the laminate is assumed and a finite element formulation is developed using a C$^{o}$-continuous 9-node plate element. Also, three-dimensional linear analysis based on the infinitesimal strain-displacement assumptions is performed using 8-node brick elements with incompatible modes. A modified Hertzian contact law is incorporated into the finite element program to evaluate the impact force. In the time integration, the Newmark constant acceleration algorithm is used in conjuction with successive iterations within each time step. Numerical results from static analysis as well as the impact response analysis are presented including impact force histories, deflections, strains in the laminate. Impact responses according to two typical low-velocity impact conditions are compared each other.