• Title/Summary/Keyword: 비선형 유한요소해석법

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Performance Analysis of LIPCA Actuator considering Material Non-linearity of embedded PZT wafer (압전 세라믹의 재료 비선형성을 고려한 LIPCA 작동기의 성능 해석)

  • Lee, Sang-Ki;Kim, Young-Sung;Park, Hoon-Cheol;Yoon, Kwang-Joon;Goo, Nam-Seo;Cho, Chahng-Min
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.3
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    • pp.37-44
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    • 2004
  • This paper deals with the performance analysis of LIPCA(Light-weight Piezo-Composite actuator) including the material nun-linearity of the embedded 3203HD PZT wafer. For this analysis, we used a piezo-shell element code based on a nine-node assumed strain shell element formulation. The material non-linearity was implemented in the formulation due to a large observed discrepancy between the measured displacement and the computed actuation displacement based on the linear analysis. An experimentally extracted piezo-strain function of the PZT wafer and incremental formulation were incorporated into the linear finite element code to improve the accuracy of the estimated actuation displacement of the LIPCA. The non-linear piezo-shell program was used to predict the non-linear performance of the LIPCA. The simulated actuation displacement from the non-linear code showed much better agreement with the measured data.

Methods of Nonlinear Structural Design Sensitivity Analysis (비선형(非線型) 구조(構造)의 설계민감도(設計敏感度) 해석법(解析法))

  • Ryu, Yeon Sun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.4
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    • pp.13-20
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    • 1987
  • Methods of nonlinear structural design sensitivity analysis are developed in parallel with the nonlinear finite element structural analysis methods and numerically evaluated. Direct decomposition and iterative solution methods for the secant stiffness approach and direct use of tangent stiffness in the design sensitivity analysis phase are derived and presented as the methods of nonlinear structural analysis and design sensitivity analysis are closely related. From the considerations of theoretical and numerical behavior, the tangent stiffness approach is shown to be efficient as the intermediate results of structural analysis can be effectively used in the design sensitivity analysis stage.

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Elastic Horizontal Response of a Structure to Bedrock Earthquake Considering the Nonlinearity of the Soil Layer (지반의 비선형성을 고려한 암반지진에 의한 구조물의 수평방향 탄성거동)

  • Kim, Yong-Seok
    • Journal of the Earthquake Engineering Society of Korea
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    • v.6 no.3
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    • pp.53-62
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    • 2002
  • Site soil condition affects significantly on the seismic response of a structure and is a critical factor for the performance based seismic design of a structure. In this paper, the effects of nonlinear soil properties on the elastic response spectra of a structure including the nonlinearity of a soil due to the earthquake excitation is investigated using one step finite element approach for the entire soil structure system and approximate linear iterative procedure to simulate the nonlinear soil behavior with the Ramberg-Osgood soil model. Studies were carried out for a linear SDOF system of a variable period with and without a pile group for the 1940 CI Centro earthquake recorded on ground rather than rock. The study results showed clearly that the effect of the nonlinear behavior of soft soil is very important on the elastic seismic response of a structure suggesting the necessity of the performance based seismic design.

A Nonlinear Analysis of Two-Dimensional Beam Finite Elements (2차원(次元) 보 유한요소(有限要素) 비선형(非線型) 해석(解析))

  • Shin, Young Shik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.4 no.3
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    • pp.53-61
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    • 1984
  • A nonlinear formulation of a beam finite element(NB6) on the total Lagrangian mode for the geometrically nonlinear analysis of two-dimensional elastic framed structures is presented. The NB6 beam element has been degenerated from the three-dimensional continuum by introducing the deep beam assumptions and consists of three reference nodes and three relative nodes. The element characteristics are derived by discretizing the beam equations of motion using the Galerkin weighted residual method and are reduced-integrated repeatedly for each loading step by the Newton-Raphson iteration techpique. Several numerical examples are given to demonstrate the accuracy and versatility of the proposed nonlinear NB6 beam element.

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Dynamic Response Analysis of Nonlinear Sloshing in Two Dimensional Rectangular Tank using Finite Element Method (유한요소법을 이용한 2차원 사각탱크내 비선형 슬로싱 동응답 해석)

  • 조진래;이홍우;하세윤;박태학;이우용
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.1
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    • pp.33-42
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    • 2003
  • This paper deals with the FEM analysis of nonlinear sloshing of incompressible, invicid and irrotational flow in two dimensional rectangular tank. We use laplace equation based on potential theory as governing equation. For large amplitude sloshing motion, kinematic and dynamic free surface conditions derived from Bernoulli equation are applied. This problem is solved by FEM using 9-node elements. For the time integration and accurate velocity calculation, we introduce predictor-corrector time marching scheme and least square method. Also, numerical stability in tracking of free surface is obtained by direct calculation of free surface location to time variation. Numerical results of sloshing induced by harmonic excitations, while comparing with those of linear theory and references, prove the accuracy and stability. After verification of our program, we analyze sloshing response characteristics to the fluid height and the excitation amplitude.

Thermal Analysis of Power Apparatus Considering Resistance on Temperature Variation (온도변화에 따른 저항값을 고려한 전력기기의 열해석)

  • Kim, S.W.;Hahn, S.C.;Kim, J.K.
    • Proceedings of the KIEE Conference
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    • 2002.07b
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    • pp.767-769
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    • 2002
  • 최근 초고압 전력기기에 대한 많은 연구가 활발히 진행되고 있음에도 불구하고 통전용량에 크게 영향을 미치는 열해석에 대한 연구가 많이 부족한 실정이다. 본 논문에서는 초고압전력기기인 GIS(Gas Insulated Switchgear)의 모선에 대한 열해석을 다루었다. 해석방법은 유한요소법을 이용하여 온도상승을 예측하였다. 유한요소법은 3각형 등의 임의의 형상을 요소로서 채용할 수 있으므로 3상 모선과 같이 복잡한 형상도 표현할 수 있다. 열전달계수는 형상, 유동조건, 유체의 종류를 고려한 상관식을 이용하여 해석적으로 정확히 계산하였다. 열해석에 있어 자계해석을 통한 도체 및 탱크의 손실값산정이 선행되어야 하는데, 이 손실값이 온도상승의 원인이 되므로 정확히 계산하여야 한다. 손실의 원인이 되는 도체 및 탱크의 저항은 온도가 상승함에 따라 비선형으로 변화하는데, 이것을 고려하여 반복적으로 계산함으로서 해석의 정확성을 높이고자 하였다. 실제 모델에 대한 온도상숭 실험치와 본 논문에서 제시한 방법으로 해석한 계산치와의 비교를 통해 타당성을 입증하였다.

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Thermal Analysis of Power Apparatus Considering Resistance on Temperature Variation (온도변화에 따른 저항값을 고려한 전력기기의 열해석)

  • Kim, S.W.;Hahn, S.C.;Kim, J.K.
    • Proceedings of the KIEE Conference
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    • 2002.04a
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    • pp.52-54
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    • 2002
  • 최근 초고압 전력기기에 대한 많은 연구가 활발히 진행되고 있음에도 불구하고 통전용량에 크게 영향을 미치는 열해석에 대한 연구가 많이 부족한 실정이다. 본 논문에서는 초고압전력기기인 GIS(Gas Insulated Switchgear)의 모선에 대한 열해석을 다루었다. 해석방법은 유한요소법을 이용하여 온도상승을 예측하였다. 유한요소법은 3각형 등의 임의의 형상을 요소로서 채용할 수 있으므로 3상 모선과 같이 복잡한 형상도 표현할 수 있다. 열전달계수는 형상, 유동조건, 유체의 종류를 고려한 상관식을 이용하여 해석적으로 정확히 계산하였다. 열해석에 있어 자계해석을 통한 도체 및 탱크의 손실값 산정이 선행되어야 하는데, 이 손실값이 온도상승의 원인이 되므로 정확히 계산하여야 한다. 손실의 원인이 되는 도체 및 탱크의 저항은 온도가 상승함에 따라 비선형으로 변화하는데, 이것을 고려하여 반복적으로 계산함으로서 해석의 정확성을 높이고자 하였다. 실제 모델에 대한 온도상승 실험치와 본 논문에서 제시한 방법으로 해석한 계산치와의 비교를 통해 타당성을 입증하였다.

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Failure Analysis of RC Cylindrical Structures using Layered Shell Element with a Pressure Node (압력절점을 갖는 적층쉘 요소에 의한 콘크리트 원통형 구조물의 파괴해석)

  • 송하원;방정용;변근주;최강룡
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.475-484
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    • 1999
  • 압력절점은 요소의 균등한 압력증분을 1개의 자유도로 갖는 절점이며, 유한요소의 하중-변위 평형방정식에 체적과 압력의 관계를 추가하여 한계압력 이후에서도 체적변화에 따른 압력증분을 직접적으로 제저할 수 있는 절점이다. 본 연구에서는 철근콘크리트의 평면 구성 방정식과 적층정식화에 적용한 쉘 요소에 압력절점을 추가하고 해석시 체적을 제어함으로써 철근콘크리트 원통형 구조에 대해 파괴까지의 극한내압 능력을 해석할 수 있는 체적제어 비선형 해석기법을 개발하였다. 본 논문에서 제안한 해석기법을 이용하여 철근콘크리트 원통형 구조물에 대하여 비선형 해석을 수행하여 한계압력과 한계압력 이후의 구조물의 거동을 예측하였으며 실험결과와 비교 검증하였다.

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An Improved Degenerated Shell Element for Analysis of Laminated Composite Structures (복합적층구조 해석을 위한 개선된 쉘요소)

  • Choi, Chang Koon;Yoo, Seung Woon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.3
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    • pp.1-10
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    • 1991
  • The paper is concerned with the analysis of laminated composite shell structures using an improved degenerated shell element. In the formulation of the element stiffness, the combined use of three different techniques was made. They are; 1) an enhanced interpolation of transverse shear strains in the natural coordinate system to overcome the shear locking problem; 2) the reduced integration technique in in-plane strains to avoid the membrane locking behavior; and 3) selective addition of the nonconforming displacement modes to improve the element performances. This element is free of serious shear/membrane locking problems and undesirable compatible/commutable spurious kinematic deformation modes. An incremental total Lagrangian formulation is presented which allows the calculation of arbitrarily large displacements. The resulting non-linear equilibrium equations are solved by the Newton-Raphson method. The versatility and accuracy of this improved degenerated shell element are demonstrated by solving several numerical examples.

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Structural Analysis and Design of Artificial Hip Joint by Using Finite Element Method (유한요소법을 이용한 인공 고관절의 역학적 거동 해석 및 설계)

  • 정재연;황운봉;하성규
    • Composites Research
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    • v.12 no.5
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    • pp.98-109
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    • 1999
  • An investigation has been performed to develop a nonlinear finire element method for the analysis of the long-term behavior of an artificial hip joint. The three dimensional multi-layered brick element is used to analyze the design performances of hip prodtheses with various materials and the thick laminated composite hip prostheses with various layup sequences. The used element can accommodate the varying material properties of the element and allow the ply-drop-off along the eleement edge. The nonlinear finite element analysis program has been verified by the comparison with the exact solution of the bean problem subjected to uniaxial loading. By using the program, the density changes and strength ratios of artificial hip joint are calculated according to the hip prosthesis materials and the layers of composite hip prosthesis. The numerical results are easily applied to evaluate design performances of a hip prosthesis, and decrease the difficulty and time of hip prosthesis design.

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