복합구조물의 하부골조층수 변화에 따른 비선형 약산법의 응답특성

김재웅,강병두,전대한,남영우 대한건축학회지회연합회 2005 대한건축학회지회연합회 학술발표대회논문집 Vol.1 No.1

One of the most accurate earthquake analysis method for the performance evaluation of structure is nonlinear time history analysis, but it is time-consuming and necessitate more efforts. Approximate methods are presented for estimating the capacity of structures while subjecting earthquake ground motions. This is made by exploiting the connection between the nonlinear static response of structure and the dynamic response of SDF system whose backbone matches the structure’s pushover curve. The capacity spectrum method is one of general approximate methods which is based on equivalent linearization where the inelastic deformation is approximated by the maximum deformation of an equivalent linear elastic system having equivalent viscous damping. It requires iterative computations, because the equivalent damping ratio is computed as a function of the maximum deformation. The nonlinear capacity spectrum method estimate the maximum inelastic deformation of SDF system by nonlinear response spectra. The nonlinear direct spectrum method is proposed and studied to evaluate nonlinear response of structures, without iterative computations, given by the structural linear vibration period and yield strength from the pushover analysis. In this study, it is to compare the accuracy and the reliability of approximate nonlinear methods with respect to upper wall-lower frame system and various earthquakes.

역량스펙트럼법을 통한 구조물 성능점의 확률적 기반 내진성능평가기법 개발

최인섭,장지상,김준희 한국전산구조공학회 2017 한국전산구조공학회논문집 Vol.30 No.6

In this study, a method of probabilistic evaluation of the performance point of the structure obtained by capacity spectrum method (CSM) is presented. The performance point of the 4-story and 1-bay steel structure was determined by using CSM according to ATC-40. In order to analyze whether the demand spectrums exceed the performance limit of the structure, the limit displacements are derived for the performance limit of the structure defined from the plastic deformation angle of the structural member. In addition, by selecting a total of 30 artificial seismic wave having the response spectrum similar to the design response spectrum, the fragility curves were derived by examining whether the response spectrum obtained from the artificial seismic wave were exceeded each performance limit according to the spectral acceleration. The maximum likelihood method was used to derive the fragility curve using observed excess probabilities. It has been confirmed that there exists a probability that the response acceleration value of the design response spectrum corresponding to each performance limit exceeds the performance limit. This method has a merit that the stochastic evaluation can be performed considering the uncertainty of the seismic waves with respect to the performance point of the structure, and the analysis time can be shortened because the incremental dynamic analysis (IDA) is not necessary. 본 연구에서는 역량스펙트럼법을 이용해 얻어진 구조물의 성능점을 확률적으로 평가하는 방법을 제시하였다. ATC-40에 따라 역량스펙트럼법을 이용하여 4층 1경간 철골구조물의 성능점을 산정하였다. 요구스펙트럼을 이용하여 구조물의 성능한계를 초과하는지 여부를 분석하기 위해 구조부재의 소성변형각으로부터 정의되는 구조물의 성능한계에 대해 한계변위를 도출하였다. 또한 설계응답스펙트럼과 유사한 응답스펙트럼을 가지는 인공지진파 30개를 선정하여 스펙트럼 가속도에 따른 각 성능한계의 초과여부를 통해 fragility curve를 도출하였다. 관측된 초과확률을 이용하여 fragility curve를 도출하기 위해 maximum likelihood method를 사용하였다. 각 성능한계점에 대응하는 설계응답스펙트럼의 응답가속도값에서 성능한계점을 초과할 확률은 존재하는 것으로 확인되었다. 본 방식은 구조물의 성능점에 대해 지진파의 불확실성을 고려한 확률적 평가가 가능하고, 시간증분해석이 필요하지 않아 해석시간을 상당부분 단축시킬 수 있다는 장점이 있다.

비탄성변위비를 이용한 능력 스펙트럼법

한상환,배문수 한국지진공학회 2008 한국지진공학회논문집 Vol.12 No.2

본 연구에서는 중고층 건물과 같이 고차모드의 영향이 커지는 구조물의 지진에 대한 성능점을 간략하고 정확하게 구할 수 있는 개선된 능력스펙트럼법을 제안한다. 능력스펙트럼법은 주어진 지진의 응답스펙트럼과 다자유도 구조물을 변환한 등가 단자유도 시스템을 이용하여 지진으로 인하여 발생하는 지붕층의 최대 비탄성변위를 간략하게 구하는 방법이다. 제안된 방법에서는 구조물의 탄성 및 비탄성 동적해석을 수행하지 않고, 기존의 능력스펙트럼법에서 요구되는 정적푸쉬오버해석과 탄성변위를 이용하여 비탄성변위를 예측하는데, 기존 연구에서 개발한 C_R을 이용한다. 본 연구는 제안한 방법의 정확도를 평가하기 위해 LA 지역의 3, 9, 20층 철골모멘트저항골조를 선택한다. 이 건물들의 지진에 대한 각 층별 최대 층간변위비를 개발한 CSM으로 구하고, 이를 비선형 응답이력해석(NL-RHA)으로 구한 결과와 비교하였다. 사용한 지진은 재현주기 475년과 2475년의 위험수준에 대한 각각 20개의 지진집단들이다. 또한 본 연구에서는 ATC-40에 제시된 CSM 방법과 N2 방법으로 구한 각 건물의 최대 층간변위비도 비교한다. 개발된 CSM은 기존에 개발된 방법에 비하여 보다 정확한 최대 층간변위비를 예측하는 것으로 나타났다. In this study, improved capacity spectrum method (CSM) is proposed. The method can account for higher mode contribution to the seismic response of MDOF systems. The CSM has been conveniently used for determining maximum roof displacement using both demand spectrum and capacity curve of equivalent SDOF system. Unlike the conventional CSM, the maximum roof displacement is determined without iteration using inelastic displacement ratio and R factor calculated from demand spectrum and capacity curve. Three moment resisting steel frames of 3-, 9- and 20-stories are considered to test the accuracy of the proposed method. Nonlinear response history analysis (NL-RHA) for three frames is also conducted, which is considered as an exact solution. SAC LA 10/50 and 2/50 sets of ground motions are used. Moreover, this study estimates maximum story drift ratios (IDR) using ATC-40 CSM and N2-method and compared with those from the proposed method and NL-RHA. It shows that the proposed CSM estimates the maximum IDR accurately better than the previous methods.

역량스펙트럼법에 의한 교량 구조물의 내진성능평가

박연수,오백만,박철웅,서병철 한국지진공학회 2003 한국지진공학회논문집 Vol.7 No.5

현 도로교의 내진해석은 구조물이 하중 이상의 강도를 갖도록 하는 하중기반해석법에 근거하고 있다. 본 연구에서는 이러한 하중기반해석의 대안책으로 구조물의 성능평가 대상을 변위로 하는 변위기반해석의 일종인 역량스펙트럼법을 제시하였다. 하중기반해석에서 내진설계가 수행되어진 기존 철근콘크리트 교각에 대하여 역량스펙트럼법에 의한 내진성능을 평가하였다. 그 결과, 역량스펙트럼법은 간편하고 신속하게 구조물의 비탄성 응답을 현실적으로 평가할 수 있었으며 비탄성 응답을 일으키는 다양한 지반운동 수준에 대해 구조물에 발생하는 변위를 평가할 수 있었고, 기존 구조물의 내진성능에 대한 평가나 신설구조물의 성능목표에 대한 설계검증에 효율적으로 적용 가능하였다. The present seismic analysis of Road-Bridge Design Standard is on a basis of load-based analysis which lets structures have the strength over load. In this study, the capacity spectrum method, a kind of displacement based method, which is evaluated by displacement of structure, is presented as an alternative to the analysis method based on load. Seismic capacity is performed about the existing reinforced concrete pier which has already secured seismic design by capacity spectrum method. As a result. capacity spectrum method could realistically evaluate the non-elastic behavior of structures easily and quickly and the displacement of structures for variable ground motion level. And it could efficiently apply to an evaluation of seismic capacity about the existing structure and a verification of design for capacity target of the new structure.

고차모드의 영향을 고려한 비선형 직접스펙트럼법

박진화,강병두,노필성,김재웅 동아대학교 건설기술연구소 2002 硏究報告 Vol.26 No.1

Recently, a variety of methods are proposed to solve the problems shown in a existing performance-based design of structure. Among those methods, capacity spectrum method(ATC-40, FEMA-273) is one of general methods. The basis of the capacity spectrum method is the idea that the peak response of an inelastic system can be estimated as the peak response of a linear elastic system(equivalent single degree of freedom) with reduced stiffness and increased damping. However, the capacity spectrum method with equivalent SDOF systems characterizing the nonlinear response of multistory structures frequently makes iterative calculations and inaccurate results; and may potentially mislead if higher modes play a significant role in the response. Accordingly, in this study, nonlinear direct spectrum method is proposed and examined as one of methods considering the influence of higher modes to improve accuracy of analysis.

당가단자유도 방법의 영향을 고려한 다경간 교량의 내진성능 평가를 위한 비탄성 정적해석

송종걸(Song Jong-Keol),남왕현(Nam Wang-Hyun),정영화(Chung Yeong-Hwa) 대한토목학회 2006 대한토목학회논문집 A Vol.26 No.3A

역량스펙트럼 방법은 비선형 거동을 하는 구조물의 최대 변위응답을 간편하게 산정하는데 사용된다. 역랑스펙트럼 방법을 사용하여 다경간 교량의 내진성능을 평가하기 위해서는 구조계를 대표하는 하나의 응답을 등가단자유도계 방법을 이용하여 다자유도 응답들로부터 유도하여야 한다. 등가단자유도 방법은 비탄성 정적해석에 의해 산정된 힘-변위 독선들로부터 역량곡선을 계산하는데 사용된다. 역량스펙트럼 방법에 사용되는 등가단자유도 방법의 정확성을 평가하기 위하여, 몇 개의 등가단 지유도방법과 결합된 역량스펙트럼 방법에 의해 산정된 최대변위응답을 설계지진스펙트럼에 대응되는 인공지진을 사용한 비탄성 시간이력해석의 변위응답과 비교하였다. The capacity spectrum method (CSM) can be used to simply estimate the maximum displacement response of the nonlinear structures. To evaluate seismic performance of multi-span bridges using the CSM, the representative response for structural system should be derived from the multi-degree-of-freedom (MDOF) responses by using the equivalent single-degree-of-freedom (ESDOF) method. The ESDOF method is used to calculate the capacity curve of the structural system from the pushover curves of all piers or structural members estimated by the pushover analysis. In order to evaluate an accuracy of ESDOF methods used in the CSM, the maximum displacements estimated by the CSM incorporating the several ESDOF methods are compared to those by the inelastic time-history analysis for several artificial earthquakes corresponding to the design spectrum.

등가단자유도 방법에 따른 다자유도 교량의 지진응답평가

송종걸,남왕현,정영화 江原大學校 産業技術硏究所 2005 産業技術硏究 Vol.25 No.A

The capacity spectrum method(CSM) can be used for the evaluation of inelastic maximum response of structures and has been recently used in the seismic design using the incorporation of pushover analysis and response spectrum method. To efficiently evaluate seismic performance of multi-degree-of freedom(MDOF) bridge structures, it is important that the equivalent response of MDOF bridge structures should be calculated. To calculate the equivalent response of MDOF system, equivalent responses are obtained by using Song method, Fajfar method and Calvi method. Also, those responses are applied to CSM method and seismic performance of bridge according to the ESDOF method are compared and evaluated straightforwardly.

An approach of seismic design for sheet pile retaining wall based on capacity spectrum method

Qu, Honglue,Li, Ruifeng,Hu, Huanguo,Jia, Hongyu,Zhang, Jianjing Techno-Press 2016 Geomechanics & engineering Vol.11 No.2

As the forefront of structural design method, capacity spectrum method can be applied conveniently, and through this method, deformation demand of structure can be considered. However, there is no research for the seismic application in the structure of sheet pile retaining wall to report. Therefore, focusing on laterally loaded stabilizing sheet pile wall, which belongs to flexible cantilever retaining structure and meets the applying requirement of capacity spectrum method from seismic design of building structure, this paper studied an approach of seismic design of sheet pile wall based on capacity spectrum method. In the procedure, the interaction between soil and structure was simplified, and through Pushover analysis, seismic fortification standard was well associated with performance of retaining structure. In addition, by comparing the result of nonlinear time history analysis, it suggests that this approach is applicable.

역량스펙트럼 방법을 이용한 철근 콘크리트 교각의 내진성능 평가

송종걸,장동휘,정영화 江原大學校 産業技術硏究所 2004 産業技術硏究 Vol.24 No.A

To evaluate seismic performance of reinforced concrete piers two procedures for capacity spectrum method are presented. The capacity spectrum procedures include the reduction factor-ductility-period(R_(μ)-μ-T)relationship in order to construct the inelastic demand spectra from the elastic demand spectra. Application of the procedures are illustrated by example analysis. Maximum displacements estimated by the procedures are compared to those by inelastic time history analysis for several artificial earthquakes. The results show that the maximum displacements estimated by the procedures are, on overall, smaller than those by the inelastic time history analysis.

섬유요소를 이용한 교량의 비선형 지진응답해석

변순주,임정순,Byun. Soon-Joo,Im. Jung-Soon 한국방재학회 2006 한국방재학회논문집 Vol.6 No.3

교량의 지진응답해석시 단면의 비선형 거동특성에 따른 휨변형을 정밀하게 구현하기 위해 섬유요소를 이용한 해석이 수행되었다. 2주형 다주교각을 섬유요소로 모델링하여 지진하중에 대한 비선형 정적해석을 수행하였으며 소성힌지 영역에서의 파괴 메카니즘을 분석하였다. 비선형 정적해석으로 얻어진 하중-변위 곡선을 이용하여 역량스펙트럼 방법에 의한 지진응답해석을 수행되었다. 또한 교량 전체 시스템을 섬유요소를 이용하여 모델링하고 동일한 응답스펙트럼을 가지는 지진파를 입력하여 비선형 시간이력 해석을 수행되었으며 이는 역량스펙트럼 방법과 유사한 결과를 보인다. Fiber element method in earthquake response analysis of bridges is used to represents a realistic flexural deformation according to nonlinear behavior of beam-column section. Nonlinear pseudo-static analysis of two column bent using fiber element is accomplished and failure mechanism of the plastic hinge region is studied. Load-displacement curve obtained by nonlinear pseudo-static analysis can be applicable to earthquake response analysis by capacity spectrum method. The nonlinear time history analysis of a full bridge model using fiber element experienced by the ground motion corresponding to the target response spectrum is accomplished. The result of time history analysis is similar to that of capacity spectrum method.