• 한국공간구조학회논문집
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• 제2권2호
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• pp.45-49
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• 2002

Current seismic design codes for building structures are based on the methods which can provide enough capacity to satisfy objected performance level and exactly evaluate the seismic performance of buildings. This paper is to suggest the method of inference of inelastic earthquake response obtained from MDOF system by equivalent SDOF system, and to prove the validity. The analysis results form simple model shows a good application possibility.

• Earthquakes and Structures
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• 제10권6호
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• pp.1273-1289
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• 2016

This paper addresses the concept of lateral overstrength; the ratio of actual lateral strength to design base shear force, for both SDOF and MDOF systems considering soil structure interaction. Overstrength factors are obtained with inelastic time history analysis for SDOF systems for period range of 0.1-3.0 s, five different aspect ratios (h/r=1, 2, 3, 4, 5) and five levels of ductility (${\mu}$=2, 3, 4, 5, 6) considering soil structure interaction. Structural overstrength for MDOF systems are obtained with inelastic time history collapse analysis for sample 1, 3, 6, 9, 12 and 15 storey RC frame systems. In analyses, 64 ground motions recorded on different site conditions such as rock, stiff soil, soft soil and very soft soil are used. Also lateral overstrength ratios considering soil structure interaction are compared with those calculated for fixed-base cases.

• 산업기술연구
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• 제25권A호
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• pp.23-30
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• 2005

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.

• Structural Engineering and Mechanics
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• 제59권3호
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• pp.455-473
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• 2016

Methods for the seismic demands evaluation of structures require iterative procedures. Many studies dealt with the development of different inelastic spectra with the aim to simplify the evaluation of inelastic deformations and performance of structures. Recently, the concept of inelastic spectra has been adopted in the global scheme of the Performance-Based Seismic Design (PBSD) through Capacity-Spectrum Method (CSM). For instance, the Modal Pushover Analysis (MPA) has been proved to provide accurate results for inelastic buildings to a similar degree of accuracy than the Response Spectrum Analysis (RSA) in estimating peak response for elastic buildings. In this paper, a simplified nonlinear procedure for evaluation of the seismic demand of structures is proposed with its applicability to multi-degree-of-freedom (MDOF) systems. The basic concept is to write the equation of motion of (MDOF) system into series of normal modes based on an inelastic modal decomposition in terms of ductility factor. The accuracy of the proposed procedure is verified against the Nonlinear Time History Analysis (NL-THA) results and Uncoupled Modal Response History Analysis (UMRHA) of a 9-story steel building subjected to El-Centro 1940 (N/S) as a first application. The comparison shows that the new theoretical approach is capable to provide accurate peak response with those obtained when using the NL-THA analysis. After that, a simplified nonlinear spectral analysis is proposed and illustrated by examples in order to describe inelastic response spectra and to relate it to the capacity curve (Pushover curve) by a new parameter of control, called normalized yield strength coefficient (${\eta}$). In the second application, the proposed procedure is verified against the NL-THA analysis results of two buildings for 80 selected real ground motions.

• 한국지진공학회:학술대회논문집
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• 한국지진공학회 2005년도 학술발표회 논문집
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• pp.316-323
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• 2005

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 be calculated. In this study to calculate the equivalent response of MDOF system, equivalent responses are obtained by the using Song method, N2 method and Calvi method. Also, these are applied the CSM method and seismic performance of bridge according to the ESDOF method are compared and evaluated.

• 한국지진공학회논문집
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• 제8권5호통권39호
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• pp.25-33
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• 2004

성능설계법에서 다층 건축물의 내진성능을 평가하기 위해서는 다자유도계를 등가 1자유도계로 변환할 필요가 있다. 본 논문은 다자유도계를 등가 1자유도계로 변환하여 다층 골조구조물의 층간변위 응답을 추정하는 방법을 제안한다. 본 연구의 목적은 다층 골조구조물과 등가 1자유도계의 시간이력해석을 수행하여 등가 1자유도계 변환 방법의 타당성을 확인하는 것이다. 다층 골조구조물의 시간이력해석에 의한 층간변위 응답과 등가 1자유도계에 의해 추정된 층간변위 응답을 비교하여, 등가 1자유도계에 의한 층간변위 응답에 대한 추정 방법의 타당성을 확인한다. 본 연구에서 얻어진 결과는 다음과 같다. 시간이력해석을 통하여 다자유도계를 등가 1자유도계로 변환하는 방법의 타당성을 확인할 수 있었다. 다층 골조구조물의 층간변위 응답은 비탄성 1차 모드를 이용한 등가 1자유도계의 변위응답으로부터 보다 정확히 추정할 수 있었다.

• Earthquakes and Structures
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• 제7권1호
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• pp.17-38
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• 2014

As the desire for high performance buildings increases, it is increasingly evident that engineers require reliable methods for the estimation of seismic demands on both structural and non-structural components. To this extent, improved tools for the prediction of floor spectra would assist in the assessment of acceleration sensitive non-structural and secondary components. Recently, a new procedure was successfully developed and tested for the simplified construction of floor spectra, at various levels of elastic damping, atop single-degree-of-freedom structures. This paper extends the methodology to multi-degree-of-freedom (MDOF) supporting systems responding in the elastic range, proposing a simplified modal combination approach for floor spectra over upper storeys and accounting for the limited filtering of the ground motion input that occurs over lower storeys. The procedure is tested numerically by comparing predictions with floor spectra obtained from time-history analyses of RC wall structures of 2- to 20-storeys in height. Results demonstrate that the method performs well for MDOF systems responding in the elastic range. Future research should further develop the approach to permit the prediction of floor spectra in MDOF systems that respond in the inelastic range.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2001년도 봄 학술발표회 논문집
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• pp.446-453
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• 2001

System-level ductility is an essential parameter for seismic performance evaluation of multistory building structures. The ductility demands for single degree of freedom structures or individual structural members can be determined easily. However, there is no clearly established method to determine the ductility demands for structural systems. The system ductility demands are estimated in this study by the equivalent SDOF system methods and proposed method which used the representative responses obtained from the MDOF systems directly. And seismic performance of building structures is evaluated by the modified Capacity Spectrum Method using the representative responses, and the result was compared with those of the inelastic time history analysis.

• Steel and Composite Structures
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• 제12권4호
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• pp.353-379
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• 2012

The accuracy of the 30% and SRSS rules, commonly used to estimate the combined response of structures, and some related issues, are studied. For complex systems and earthquake loading, the principal components give the maximum seismic response. Both rules underestimate the axial load by about 10% and the COV of the underestimation is about 20%. Both rules overestimate the base shear by about 10%. The uncertainty in the estimation is much larger for axial load than for base shear, and, for axial load, it is much larger for inelastic than for elastic behavior. The effect of individual components may be highly correlated, not only for normal components, but also for totally uncorrelated components. The rules are not always inaccurate for large values of correlation coefficients of the individual effects, and small values of such coefficients are not always related to an accurate estimation of the response. Only for perfectly uncorrelated harmonic excitations and elastic analysis of SDOF systems, the individual effects of the components are uncorrelated and the rules accurately estimate the combined response. In the general case, the level of underestimation or overestimation depends on the degree of correlation of the components, the type of structural system, the response parameter, the location of the structural member and the level of structural deformation. The codes should be more specific regarding the application of these rules. If the percentage rule is used for MDOF systems and earthquake loading, at least a value of 45% should be used for the combination factor.

• 전산구조공학
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• 제8권3호
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• pp.103-111
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• 1995

지진하중과 같은 동적인 하중에 대한 다자유도 구조물의 비선형 해석은 많은 양의 계산을 요구한다. 이런 계산상의 어려움을 감소시키기 위하여 다자유도를 가진 복잡한 구조물의 비선형해석을 간략화된 동위 구조물 (Equivalent Nonlinear System(ENS))을 이용해 구할 수 있는 약산법을 제시한다. 간단한 동위 구조물은 원구조물의 가장 중요한 구조물의 성질을 가지고 있는데 구조물의 처음 두 개의 주기(natural periods)의 동적 특성 및 전체 항복변위(global yield displacement)를 가진다. 구조체 반응으로 이 논문에서는 구조체의 전체변위 및 층간변위가 고려된다. 구조체의 전체 변위 및 층간변위를 얻기 위하여 전체 반응수정계수(global response scaling factor) R/sub G/와 국부반응수정계수(local response scaling factor)R/sub L/을 동위 구조물로부터 얻어진 변위에 적용한다. 이 반응수정계수는 다자유도 구조물의 비선형 해석을 통하여 얻어진 변위들과 동위 구조물을 이용해 얻어진 변위들을 이용해 광범위한 회기분석을 통하여 구조물의 연성과 첫번째 두 모드의 질량참여계수의 함수형태로 얻는다. 반응수정계수를 가진 동위 구조물을 만들기 위하여 철골 모멘트 연성 골조 방식의 구조물(Special Moment Resisting Steel Frames (SMRSF))을 이 논문에서는 고려한다. 함수형태로 표현된 반응수정계수는 동위 구조물의 반응에 적용되어 복잡한 구조물의 비선형 반응을 얻을 수 있다.