• Title/Summary/Keyword: 선형정적해석

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Development of Linear Static Alternate Path Progressive Collapse Analysis Procedure Using a Nonlinear Static Analysis Procedure (비선형정적해석 절차를 이용한 선형정적 연쇄붕괴 대체경로 해석방법 개발)

  • Kim, Jin-Koo;Park, Sae-Ro-Mi;Seo, Young-Il
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.5
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    • pp.569-576
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    • 2011
  • In this paper a new analysis procedure for evaluation of progressive collapse resisting capacity of a structure was proposed based on the nonlinear static analysis procedure. The proposed procedure produces analysis results identical to those obtained by the linear static analysis procedure specified in the GSA guidelines without iteration, therefore saving a lot of computation time and excluding the possibility of human errors during the procedure. To verify the validity of the proposed procedure, the two methods were applied to the analysis of a reinforced concrete moment frame and a steel braced frame subjected to loss of a first story column and the results were compared. According to the analysis results, the two methods produce identical results in the prediction of progressive collapse and the hinge formation. As iterative analysis is not required in the proposed method, significant amount of analysis time is saved in the proposed analysis procedure.

Improved Distribution of Seismic Forces for Evaluation of Nonlinear Seismic Response of Building Structures (건축구조물의 비선형 지진응답 평가를 위한 개선된 지진하중 분배방법)

  • 이동근;최원호;안지희
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.2
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    • pp.33-47
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    • 2001
  • 성능에 기초한 내진설계에서는 구조물이 보유하고 있는 능력을 효과적으로 파악하기 위해서 비선형 정적 해석이 적용되고 있다. 그러나 비선형 정적해석은 고차모드에 대한 효과를 고려하지 못함으로써 고층구조물이나 비정형 구조물과 같은 경우에는 정확한 비선형 지진응답의 산정과 내진성능을 평가하는데 문제점을 가지고 있다. 본 연구에서는 건축구조물의 선형 및 비선형 지진응답 평가를 위하여 응답 스펙트럼해석을 통하여 얻어지는 층전단력으로부터 층하중을 산정하는 유사동적해석법이 적용되었다. 제안된 방법을 비선형 정적 해석에 적용하여 구조물의 비선형 자동응답을 비선형 시간이력해석의 결과와 비교하였다. 기존의 층분포하중에 의한 비선형 지진응답과 비교하였으며, 제안된 방법에 의한 지진 응답이 구조물의 비선형 거동특성을 가장 정확하게 표현하였다. 그러므로 본 연구에서 제안된 방법을 사용하여 비선형 정적 해석을 수행한다면 비교적 명확한 건축물의 비선형 거동특성과 내진성능을 평가할 수 있을 것으로 판단된다.

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Seismic Analysis of Cable-Stayed Bridges using Nonlinear Static Procedures (비선형 정적 해석법을 이용한 사장교의 지진해석)

  • Shin, Dong Kyu;Kwak, Hyo-Gyoung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.2A
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    • pp.59-69
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    • 2011
  • Nonlinear static procedures (NSPs) basing on the concept of performance based seismic design have become one of the promising procedures for seismic evaluation of buildings. Although it needs much less computational cost compared to nonlinear time history analysis (NTHA), its usages are limited to simple structures by its inherent restriction to structures wherein the fundamental mode dominates the response. Several new nonlinear static procedures (Modal Pushover Analysis; MPA and Improved Modal Pushover Analysis; IMPA) which can consider higher modes effect were introduced. Nonetheless, its applicability for complex structures such as cable-stayed bridge has not studied yet. This paper focuses on applicability of nonlinear static procedures for the seismic analysis of cable-stayed bridges. Moreover, reliability indexes which can predict analysis procedure's accuracy are introduced.

Applicability of Nonlinear Static Procedures with Earthquake Property (지진특성에 따른 비선형 정적해석법의 적용성)

  • Shin, Dong-Kyu;Kwak, Hyo-Gyoung
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.174-177
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    • 2011
  • 비선형 정적 해석법(NSPs)은 최근 구조물의 지진해석방법으로서 그 사용성을 인정받고 있다. 비선형 정적 해석법은 직관적으로 구조물의 지진해석을 수행할 수 있는 등의 장점으로 빌딩구조물의 지진해석법으로 널리 사용되고 있지만, 기본 진동모드에 의해서 구조물의 거동이 지배되지 않는 구조물의 경우에는 그 사용성에 대한 연구가 매우 제한적이다. 이를 개선하기 위한 고차모드의 기여분을 반영할 수 있는 비선형 정적 해석법들이 제시 되었지만, 교량 구조물에 사용함에 있어서는 여전히 지진의 특성에 따라 그 사용성 및 신뢰성이 크게 변화하는 문제가 발생한다. 이 논문에서는 지진의 특성을 고려할 수 있는 두가지 지수를 제시하고, 이를 이용하여 비선형정적 해석법의 적용성을 사용단계에서 알아 낼 수 있는지에 대한 연구를 진행하였다.

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Development of Progressive Collapse Analysis Program applying hysteresis model - Linear Static Analysis (부재 이력모델을 응용한 연쇄붕괴프로그램 제안 - 선형정적해석)

  • Kim, Jinkppi;Park, Sae-Ro-Mi;Seo, Young-Il
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.144-147
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    • 2011
  • 본 논문에서는 기존의 선형정적해석 절차를 변형하여 부재의 이력모델 응용을 통해 부재 파괴여부에 따라 힌지처리 및 재해석의 반복과정을 자동으로 수행하는 새로운 연쇄붕괴 프로그램을 제안하였다. 6m 4경간의 철근콘크리트 골조에 철골 가새를 보강 설치한 예제구조물에 대하여 최하층 기둥부재를 제거한 후 기존 해석법과 제안 해석법을 통해 선형정적해석을 수행하였고, 그 결과를 비교 분석하였다. 해석 결과, 두 절차 간 부재단위의 파괴여부 및 구조물 힌지 분포 경향의 동일함을 보여 해석의 신뢰성을 확보하였으며. 기존 해석법에 비해 수행단계의 시간이 매우 짧고 자동 반복해석으로 인한 오류의 가능성도 최소화 할 수 있음을 확인하였다.

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Linear Analysis and Non-linear Analysis with Co-Rotational Formulation for a Cantilevered Beam under Static/Dynamic Tip Loads (정적 및 동적 하중을 받는 외팔보 거동에 관한 선형 및 CR 정식화 비선형 예측의 비교)

  • Ko, Jeong-Woo;Bin, Young-Bin;Eun, Won-Jong;Shin, Sang-Joon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.5
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    • pp.467-475
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    • 2015
  • In this paper, the behaviour of a cantilevered beam was predicted to examine the difference between linear and non-linear static, dynamic analysis for a structure by using CR nonlinear formulation. Then, external transverse static and dynamic loads were applied at the free tip of the beam. Classical theories were used for the present linear analysis and co-rotational dynamic FEM program was used for the present nonlinear analysis. In the static analysis, effects of the load for the beam deflection were observed in both linear and nonlinear analysis. Then, normalized displacement at the tip of the beam was predicted for different frequency ratio and a significant difference was obtained in the vicinity of the resonant frequency. In addition, effects of frequency and time for the beam deflection were investigated to find the frequency delay.

Simplified seismic analysis of underground rectangular structures (박스 지하 구조물의 간편 내전해석)

  • Park, Inn-Joon;Park, Seong-Yong;Kim, Soo-Il;Kim, Sang-Hwan
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.7 no.3
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    • pp.249-257
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    • 2005
  • There are basically two methods for the seismic design of underground structures ; analytical or pseudo-static, and dynamical method. In pseudo-static analysis approach, the ground deformations are imposed as a static load and soil-structure interaction does not include dynamic or wave propagation effects. However the behavior of soil structure interaction is nonlinear, it needs to consider nonlinear soil-structure interaction effects. In this study simplified seismic analysis method to consider soil-structure interaction by iterative procedure is proposed and the results are compared and analyzed by a finite difference computer program.

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An Evaluation of Progressive Collapse Resisting Capacity of RC Structure Using Static and Dynamic Analysis (정적 및 동적 해석을 이용한 철근콘크리트 건물의 연쇄붕괴 저항성능 평가)

  • Seo, Dae-Won;Kim, Hae-Jin;Shin, Sung-Woo
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.14 no.6
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    • pp.238-245
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    • 2010
  • Progressive collapse is defined as a collapse caused by sectional destruction of a structural member which links to other surrounding structures. Currently the design guidelines for the prevention of progressive collapse is not available in Korea. So, structural engineers have a difficulty in evaluating progressive collapse. In this study, the static and dynamic analysis to evaluate the methods and procedures are conducted using commercial analysis program for RC moment resisting frames. According to the study, DCR value of RC moment resisting frame system based on code in Korea is over 2 and it shows that it can't provide alternate load paths due to the progressive collapse. And additional reinforcement should be considered for the progressive collapse resistance. As a result of vertical deflection and DCR value of linear static analysis and linear dynamic analysis, the results of dynamic analysis were underestimated more than the result of static analysis. Thus, the dynamic coefficient value of 2 provides conservative estimation.

Static Non-linear Finite Element Analysis of Spatial Cable Networks (3차원 케이블망의 초기평형상태 결정 및 정적 비선형 유한요소해석)

  • 김문영;김남일;안상섭
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.179-190
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    • 1998
  • A geometrically nonlinear finite element formulation of spatial cable networks is presented using two cable elements. Firstly, derivation procedures of tangent stiffness and mass matrices for the space truss element and the elastic catenary 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 nonlinear behaviors of cable nets.

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Effect of Nonlinear Analysis Procedures for Seismic Responses of Reinforced Concrete Wall Structure (철근콘크리트 벽체구조물의 지진응답에 대한 비선형 해석기법의 영향)

  • Song, Jong-Keol;Jang, Dong-Hui;Chung, Yeong-Hwa
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.4A
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    • pp.659-675
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    • 2006
  • Recently, significant progress has been made in performance-based engineering methods that rely mainly on nonlinear static seismic analysis procedures. The Capacity Spectrum Method (CSM) and the Displacement Coefficient Method (DCM) are the representative nonlinear static seismic analysis procedures. In order to evaluate the applicability of the procedures to the seismic evaluation and design process of new and existing structures, the accuracy of both CSM and DCM should be evaluated in advance. The accuracy of seismic responses by the nonlinear static procedures is evaluated in comparison with the shaking table test results for the structural wall specimen subjected to the far field and near field earthquakes. Also conducted are comparative studies where the shaking table test results are compared with those from nonlinear dynamic analysis procedures, i.e., Single-Degree-of-Freedom (SDOF), equivalent SDOF and Multi-Degree-of-Freedom (MDOF) systems.