• Title/Summary/Keyword: Isoparametric element

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Design Automation of Slab System by the Finite Element Method (유한요소법을 이용한 슬래브 시스템의 설계자동화)

  • 이성우
    • Computational Structural Engineering
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    • v.4 no.4
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    • pp.79-89
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    • 1991
  • New design method of R/C slab system based on finite element method has been presented. The proposed method can substitute inaccurate existing method, which has limitation in its application, and provide accurate and efficient design results for any type of slab system. Isoparametric plate element used in the slab design has been efficiently formulated to save computational time. Reinforcement has been determined by strength design method and compared with code minimum values. Graphical output through comprehensive contour map for resulting moments and designed steel areas has considerably facilitated design process. Accurate shear results from isoparametric plate element enabled to check punching shear in a proper manner. In addition to strength design criteria, serviceability has also been checked by utilizing newly developed inelastic deflection multiplier method. An example for circular slab with opening showed that the proposed method could be applied to design of irregular slab without any difficulty.

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Free Vibration Analysis of Non-symmetric Thin-Walled Curved Beams with Shear Deformation (전단변형을 고려한 비대칭 박벽 곡선보의 자유진동해석)

  • Kim, Nam-Il;Kim, Moon-Young;Cheol, Min-Byoung
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.4
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    • pp.1-13
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    • 2003
  • For spatial free vibration of non-symmetric thin-walled curved beams with shear deformation, an improved formulation is proposed in the present study. The elastic strain and the kinetic energies are first derived by considering constant curvature and shear deformation effects due to shear forces and restrained warping torsion. Next equilibrium equations and force-deformation relations are obtained using a stationary condition of total potential energy. And the finite element procedures are developed by using isoparametric curved beam element with arbitray thin-walled sections. Particularly not only shear deformation and thickness-curvature effects on vibration behaviors of curved beams but also mode transition and crossover phenomena with change in curvatures of beams are parametrically investigated. In order to illustrate the accuracy and the reliability of this study, various numerical solutions for spatial free vibration are compared with results by available references and ABAQUS's shell element.

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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    • v.14 no.4
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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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Computationally efficient 3D finite element modeling of RC structures

  • Markou, George;Papadrakakis, Manolis
    • Computers and Concrete
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    • v.12 no.4
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    • pp.443-498
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    • 2013
  • A detailed finite element modeling is presented for the simulation of the nonlinear behavior of reinforced concrete structures which manages to predict the nonlinear behavior of four different experimental setups with computational efficiency, robustness and accuracy. The proposed modeling method uses 8-node hexahedral isoparametric elements for the discretization of concrete. Steel rebars may have any orientation inside the solid concrete elements allowing the simulation of longitudinal as well as transverse reinforcement. Concrete cracking is treated with the smeared crack approach, while steel reinforcement is modeled with the natural beam-column flexibility-based element that takes into consideration shear and bending stiffness. The performance of the proposed modeling is demonstrated by comparing the numerical predictions with existing experimental and numerical results in the literature as well as with those of a commercial code. The results show that the proposed refined simulation predicts accurately the nonlinear inelastic behavior of reinforced concrete structures achieving numerical robustness and computational efficiency.

Higher Order Quadrilateral Plate Bending Finite Element (고차(高次) 판(板) 사각형(四角形) 유한요소(有限要素))

  • Shin, Young Shik;Shin, Hyun Mook;Kim, Myung Chul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.2
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    • pp.25-32
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    • 1988
  • A formulation of an isoparametric quadrilateral higher-order plate bending finite element is presented. The 8-noded 28-d.o.f. plate element has been degenerated from the three-dimensional continuum by introducing the plate assumptions and considering higher-order in-plane displacement profile. The element characteristics have been derived by the Galerkin's weighted residual method and computed by using the selective reduced integration technique to avoid shear-locking phenomenon. Several numerical examples are given to demonstrate the accuracy and versatility of the proposed quadrilateral higher-order plate bending element over the other existing plate finite elements in both static and dynamic analyses.

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Analysis of the Stresses for Hydraulic Actuator Cylinders using Boundary Element Method (경계요소법을 이용한 유압 엑츄에이터 실린더의 응력해석)

  • Kim, O.S.
    • Journal of Power System Engineering
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    • v.5 no.1
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    • pp.104-109
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    • 2001
  • The stress distributions of hydranlic actuator cylinder tube acting in uniform inner pressure were analysed by the boundary element method(BEM). STKM13C tube was utilized for machine structural purposes model, its inner radius was 100 mm and outer radius was 140 mm. Axial length was semi-infinite and the isoparametric element of BEM was used. Radial and tangential stresses are maximum(-20.3 MPa and 52 MPa) at the inner radius and the minimum at the outer radius of the hydraulic actuator cylinders for an industrial systems. Stress diminution ratio was about 0.6 MPa/mm. And then coincidence between the simulation techniques as exact results(Lame' equation) and finite element method(FEM) is found to be fairly good, showing that the proposed analysis by BEM is reliable.

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Formulation of an Interface Element and Stiffness Evaluation of an Leaf Spring (계면 요소의 구성과 이를 이용한 겹판스프링의 강성도 평가)

  • 정정희;임장근
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.6
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    • pp.141-147
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    • 1997
  • For the effective finite element analysis of the structures including material interfaces or contact surfaces, interface elements are proposed. Most of early works in this problem require not only iterative computation but also complex formulation because of the kinematic nonlinearities caused from the discontinuous behavior and the stress concentration phenomena. The proposed elements, however, are consistently formulated using relative displacements and tractions between top and bottom regular finite elements. The effectiveness of these elements are shown by solving various numerical sample problems including an leaf spring and comparing with results of general finite element analysis. As a result, more stable solutions are conveniently obtaines using interface elements than regular finite elements.

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Elasto-Plastic Analysis of Plane Frame Structures using Timoshenko Beam Element (Timoshenko보 요소를 이용한 평면 뼈대구조의 탄-소성 해석)

  • 정동영;이정석;신영식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.327-334
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    • 2001
  • This paper presents a non-linear analysis procedure for plane frame structures by finite element formulation with assumptions of Timoshenko beam theory. Finite element displacement method based on Lagrangian formulation is used and two-noded and isoparametric line element is adopted to represent finite element model. The layered approach is used for the elasto-plastic analysis of the plane frame structures with rectangular and I cross sections. A load incremental method combined with the tangent stiffness and the initial stiffness methods for each load increment is used for the solution of non-linear equations. Numerical examples are presented to investigate the behavior and the accuracy of the elasto-plastic non-linear application and the results of this study are compared with other solutions using the concept of plastic hinge.

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Non-linear Static Analysis and Determination of Initial Equilibrium States of Space Cable Nets (3차원 케이블망의 정적 비선형 해석 및 초기 평형상태의 결정)

  • 김문영;김남일
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.10a
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    • pp.134-141
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    • 1997
  • A geometrically non-linear finite element formulation of spatial cable networks is presented using three cable elements. Firstly, derivation procedures of tangent stiffness and mass matrices for the space truss element and the elastic catenary cable element, and the isoparametric cable element are summarized. The load incremental method based on Newton-Raphson iteration method and the dynamic relaxation method are presented in order to determine the initial static state of cable nets subjected to self-weights and support motions. Furthermore, static non-linear analysis of cable structures under additional live loads are performed based on the initial configuration. Challenging example problems are presented and discussed in order to demonstrate the feasibility of the present finite element method and investigate static non-linear behaviors of cable nets.

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A Study on the Optimal Shape Design Using Automatic Regridding and Design Element (자동 격자 생성법과 설계 요소를 이용한 형상 최적 설계에 관한 연구)

  • Kim, Ho-Ryong;Dan, Byung-Ju
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.3
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    • pp.87-96
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    • 1993
  • In this study, the peak stress of a fuillet in elastic structure was optimized to have minimum value by using quadratic isoparametric element. The method of auomatic gridding was also developed along with shape algorithm and design element technique was adopted in selecting design variables. The computer program developed was combined with the Hooke-Jeeves direct algorithm of optimization techniques in order to minimize the peak stress of the fillet. The imployment of design element technique significantly cut down computer time by the reduction in design variables, and the opitmum fillet shape with uniform minimum stress was obtained by varying design variables along x and y directions in improving the shape compared to other results. By using automatic gridding, in which Bezier surfaces and Coons surfaces of cubic interpolation were employed, the irregular boundary was removed resulting in smoother anbd more accurate fillet shape possessing uniform minimum stress.

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