• Title/Summary/Keyword: 대변형 비선형 탄성재료

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Finite Element Analysis of Lead Rubber Bearing by Using Strain Energy Function of Hyper-Elastic Material (초탄성 재료의 변형률에너지함수를 이용한 LRB받침의 유한요소해석)

  • Cho, Sung Gook;Park, Woong Ki;Yun, Sung Min
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.36 no.3
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    • pp.361-374
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    • 2016
  • The material property of the rubber has been studied in order to improve the reliability of the finite element model of a lead rubber bearing (LRB) which is a typical base isolator. Rubber exhibits elastic behaviour even within the large strain range, unlike the general structural material, and has a hyper-elastic characteristics that shows non-linear relationship between load and deformation. This study represents the mechanical characteristics of the rubber by strain energy function in order to develop a finite element (FE) model of LRB. For the study, several strain energy functions were selected and mechanical properties of the rubber were estimated with the energy functions. A finite element model of LRB has been developed by using material properties of rubber and lead which were identified by stress tests. This study estimated the horizontal and vertical force-displacement relationship with the FE model. The adequacy of the FE model was validated by comparing the analytical results with the experimental data.

Inelastic Nonlinear Analysis of Arch Truss and Space Truss Structures (아치 트러스 및 공간 트러스 구조의 비탄성 비선형 거동해석)

  • Kim, Kwang-Joong;Jung, Mi-Roo;Kim, Yeon-Tae;Baek, Ki-Youl;Lee, Jae-Hong
    • Journal of Korean Association for Spatial Structures
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    • v.8 no.5
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    • pp.47-58
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    • 2008
  • Spatial structure is an appropriate shape that resists external force only with in-plane force by reducing the influence of bending moment, and it maximizes the effectiveness of structural system. With this character of the spatial structure, generally long span is used. As a result, large deflection is accompanied from the general frame. the structure is apt to result in a large deflection even though this structure experiences a small displacement in absence. Usually, nonlinear analysis in numerical analysis means geometric nonlinearity and material nonlinearity and complex nonlinearity analysis considers both of them. In this study, nonlinear equation of equilibrium considering geometric nonlinearity as per finite element method was applied and also considered the material nonlinearity using the relation of stress-strain in element. It is applied to find unstable result for tracing load-deflection curve in the numerical analysis tech. especially Arc-length method, and result of the analysis was studied by ABAQUS a general purpose of the finite element program. It is found that the present analysis predicts accurate nonlinear behavior of plane and space truss.

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Development of Nonlinear Analysis Technic to Determine the Ultimate Load in Electric Transmission Tower (송전철탑의 극한하중 도출을 위한 비선형해석 기법)

  • Kim, Woo Bum;Choi, Byong Jeong;Ahn, Jin Kyu
    • Journal of Korean Society of Steel Construction
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    • v.20 no.3
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    • pp.389-398
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    • 2008
  • The current design practice of electric transmission tower is based on the allowable stress design. However, it is difficult to find the cause behind a transmission tower's collapse by the above design approach as the collapse is caused by large secondary deformations based on and geometrical nonlinear behavior.influence factor for the nonlinear behavior is mainly residual stress, initial imperfection and end restraints on members. In this study, the necessity of the nonlinear analysis is examined through the comparison between elastic ana the nonlinear analysis, a new analytical method (equivalent nonlinear analysis technique) is proposed. To confirm the reliability of the proposed method, the computed ultimate load of the transmission tower using the method was compared with that of the nonlinear finite element analysis. Effects of parameters, such as compressive force and the slenderness ratio of the brace member on the main post member, were investigated. The effective member length according to influential parameters was formulated in table form for practical purposes.

A General and Versatile XFINAS 4-node Co-Rotational Resultant Shell Element for Large Deformation Inelastic Analysis of Structures (구조물의 대변형 비탄성 해석을 위한 범용 목적의 XFINAS 4절점 순수 변위 합응력 쉘요소)

  • Kim, Ki Du;Lee, Chang Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.3A
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    • pp.447-455
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    • 2006
  • A general purpose of 4-node co-rotational resultant shell element is developed for the solution of nonlinear problems of reinforced concrete, steel and fiber-reinforced composite structures. The formulation of the geometrical stiffness presented here is defined on the mid-surface by using the second order kinematic relations and is efficient for analyzing thick plates and shells by incorporating bending moment and transverse shear resultant forces. The present element is free of shear locking behavior by using the ANS (Assumed Natural Strain) method such that the element performs very well as thin shells. Inelastic behaviour of concrete material is based on the plasticity with strain hardening and elasto-plastic fracture model. The plasticity of steel is based on Von-Mises Yield and Ivanov Yield criteria with strain hardening. The transverse shear stiffness of laminate composite is defined by an equilibrium approach instead of using the shear correction factor. The proposed formulation is computationally efficient and versitile for most civil engineering application and the test results showed good agreement.

Large Deformational Elasto-Plastic Analysis of Space Frames Considering Finite Rotations and Joint Connection Properties (유한회전과 접합부 특성을 고려한 공간프레임의 대변형 탄소성 해석)

  • Lee, Kyung Soo;Han, Sang Eul
    • Journal of Korean Society of Steel Construction
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    • v.21 no.6
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    • pp.597-608
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    • 2009
  • In this paper, large-deformation elasto-plastic analysis of space frames that considersjoint connection properties is presented. This method is based on the large-deformation formula with finite rotation, which was developed initially for elastic systems, and is extended herein to include the elasto-plastic effect and the member joint connection properties of semi-rigid what?. The analytical method was derived from the Eulerian concept, which takes into consideration the effects of large joint translations and rotations. The localmember force-deformation relationships were obtained from the beam-column approach, and the change caused by the axial strain in the member chord lengths and flexural bowing were taken into account. The effect of the axial force of the member on bending and torsional stiffness, and on the plastic moment capacity, is included in the analysis. The material is assumed to be ideally elasto-plastic, and yielding is considered concentrated at the member ends in the form of plastic hinges. The semi-rigid properties of the member joint connection are considered based on the power or linear model. The arc length method is usedto trace the post-buckling range of the elastic and elasto-plastic problems with the semi-rigid connection. A sample non-linear buckling analysis was carried out with the proposed space frame formulations to demonstrate the potential of the developed method in terms of its accuracy and efficiency.

Nonlinear Analysis of RC Beams under Cyclic Loading Based on Moment-Curvature Relationship (모멘트-곡률 관계에 기초한 반복하중을 받는 철근콘크리트 보의 비선형 해석)

  • 곽효경;김선필
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.2
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    • pp.245-256
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    • 2000
  • A moment-curvature relationship to simulate the behavior of reinforced concrete beam under cyclic loading is introduced. Unlike previous moment-curvature models and the layered section approach, the proposed model takes into consideration the bond-slip effect by using monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The advantages of the proposed model, comparing to layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures. The modification of the moment-curvature relation to reflect the fixed-end rotation and pinching effect is also introduced. Finally, correlation studies between analytical results and experimental studies are conducted to establish the validity of the proposed model.

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