• Steel and Composite Structures
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• 제37권4호
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• pp.447-462
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• 2020

In this paper, a simplified seismic design method for low-rise dual frame-steel plate shear wall (SPSW) structures is proposed in the framework of performance-based seismic design. The dynamic response of a low-rise structure is mainly dominated by the first-mode and the structural system can be simplified to an equivalent single degree-of-freedom (SDOF) oscillator. The dual frame-SPSW structure was decomposed into a frame system and a SPSW system and they were simplified to an equivalent F-SDOF (SDOF for frame) oscillator and an equivalent S-SDOF (SDOF for SPSW) oscillator, respectively. The analytical models of F-SDOF and S-SDOF oscillators were constructed based on the OpenSees platform. The equivalent SDOF oscillator (D-SDOF, dual SDOF) for the frame-SPSW system was developed by combining the F-SDOF and S-SDOF oscillators in parallel. By employing the lateral force resistance coefficients and seismic demands of D-SDOF oscillator, the design approach of SPSW systems was developed. A 7-story frame-SPSW system was adopted to verify the feasibility and demonstrate the design process of the simplified method. The results also show the seismic demands derived by the equivalent dual SDOF oscillator have a good consistence with that by the frame-SPSW structure.

• 한국지진공학회:학술대회논문집
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• 한국지진공학회 2003년도 추계 학술발표회논문집
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• pp.205-212
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• 2003

To evaluate the seismic performance of multistory building structures use an equivalent SDOF model. This paper presents a method of converting a MDOF system into an equivalent SDOF model. The principal objective of this investigation is to evaluate appropriateness of converting method through perform nonlinear time history analysis of a multistory building structures and an equivalent SDOF model. The hysteresis rules to be used an equivalent SDOF model is obtained from the pushover analysis. The conclusion of this study is following; A method of converting a MDOF system into an equivalent SDOF model through the nonlinear time history response analysis is valid. The representative lateral displacement of a moment resisting reinforced concrete frames is close to the height of the first modal participation vector $_1$$\beta$｛$_1$u｝=1. It can be found that the hysteresis rule of an equivalent SDOF model have influence on the time history response. Therefore, it is necessary for selecting hysteresis rules to consider hysteresis characteristics of a moment resisting reinforced concrete frames.

• 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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• 제13권3호
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• pp.231-239
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• 2017

Fundamental period is one of the most critical parameters affecting the seismic design of buildings. In this paper, a very simple approach is presented for estimating the fundamental period of multiple-degree-of-freedom (MDOF) structures. The basic idea behind this approach is to replace the complicated MDOF system with an equivalent single-degree-of-freedom (SDOF) system. To realize this equivalence, a procedure for replacing a two-degree-of-freedom (2-DOF) system with an SDOF system, known as a two-to-single (TTS) procedure, is developed first; then, using the TTS procedure successively, an MDOF system is replaced with an equivalent SDOF system. The proposed approach is expressed in terms of mass, stiffness, and number of stories, without mode shape or any other parameters; thus, it is a very simple method. The accuracy of the proposed method is investigated by estimating the fundamental periods of many MDOF models; it is found that the results obtained by the proposed method agree very well with those obtained by eigenvalue analysis.

• 한국지진공학회논문집
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• 제7권1호
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• pp.9-16
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• 2003

건축구조물의 내진성능을 효율적으로 평가하기 위해서는 다자유도계 구조물을 등가 1자유도계로 표현하는 것이 필요하다. 본 연구는 다층 철근콘크리트 골조구조를 등가 1자유도계로 치환하는 방법을 제시하였다. 다층 철근콘크리트 모멘트 골조를 등가 1자유도계로 치환하여 모델화에 따른 비선형 시간이력해석을 통하여 다자유도계 구조물의 축약 방법의 타당성을 검토하는 것이 목적이다. 다층 골조구조의 정적 비선형 해석을 수행하여, 등가 1자유도계의 복원력 모델을 설정하였다. 다층 골조 구조의 비선형 시간이력해석 응답치와 등가 1자유도계의 시간이력해석 응답치를 비교하여, 등가 1자유도계 모델의 타당성을 검증하였다. 다층 철근콘크리트 골조구조를 등가 1자유도계로 치환하여 비선형 지진응답을 구하는 방법은 충분히 그 타당성이 있다는 것이 확인되었다. 다층 철근콘크리트 골조구조의 대표변위로서 1차모드참여 yector$_1$,$\beta${$_1$$\mu$}= 1인 높이가 등가 1자유도계의 응답을 가장 근사하게 나타내는 것을 알 수 있었다. 등가 1자유도계의 지진응답해석에 사용하는 복원력 모델의 이력곡선에 따라 응답파형에 차이가 생기므로, 실제 frame 구조의 복원력 특성을 반영한 이력모델을 선정하는 것이 중요하다.

• Structural Engineering and Mechanics
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• 제85권5호
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• pp.655-664
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• 2023

Reinforced concrete (RC) shear wall structures are one of the most widely used structural systems to resist seismic loading all around the world. Although there have been several efforts to provide conceptually simple procedures to reasonably assess the seismic demands of structures over recent decades, it seems that lesser effort has been put on a number of structural forms such as RC shear wall structures. Therefore, this study aims to represent a simple linear response spectrum-based method which can acceptably predict the nonlinear displacements of a non-ductile RC shear wall structure subjected to an individual ground motion record. An effective period and an equivalent damping ratio are introduced as the dynamic characteristics of an equivalent linear SDOF system relevant to the main structure. By applying the fundamental mode participation factor of the original MDOF structure to the linear spectral response of the equivalent SDOF system, an acceptable estimation of the nonlinear displacement response is obtained. Subsequently, the accuracy of the proposed method is evaluated by comparison with another approximate method which is based on linear response spectrum. Results show that the proposed method has better estimations for maximum nonlinear responses and is more utilizable and applicable than the other one.

• Structural Engineering and Mechanics
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• 제46권5호
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• pp.595-613
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• 2013

A new effective model for calculation of the equivalent uniform blast load for non-uniform blast load such as close-in explosion of a one-way square and rectangle reinforced concrete slab is proposed in this paper. The model is then validated using single degree of freedom (SDOF) system with the experiments and blast tests for square slabs and rectangle slabs. Test results showed that the model is accurate in predicting the damage level on the tested RC slabs under the given explosive charge weight and stand-off distance especially for close-in blast load. The results are also compared with those obtained by conventional SDOF analysis and finite element (FE) analysis using solid elements. It is shown that the new model is more accurate than the conventional SDOF analysis and is running faster than the FE analysis.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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• pp.370-377
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• 2002

Hwang et al (2001) proposed a new method for an evaluation of equivalent damping ratios of a linear structure with linear or nonlinear damping devices. This procedure has a disadvantage that it requires time history analysis for the whole system including damping devices, which may be troublesome for practical application. To tackle this problem closed form formulas for equivalent damping ratios are proposed in this study. It is assumed that the responses of MDOF system can be reproduced by an equivalent SDOF system which vibrates in a fundamental mode. The numerical analyses of a ten-story building equipped with linear viscous damper or active mass damper or friction damper show the effectiveness of equivalent SDOF model and closed form formulas.

• 한국전산구조공학회논문집
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• 제16권2호
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• pp.173-182
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• 2003

비선형 정적해석 및 에너지를 이용한 설계방법에서는 구조물을 등가의 단자유도계로 치환하여 해석하는 것이 일반적이다. 본 연구에서는 지진하중에 의한 3층, 8층, 20층 철골 모멘트저항골조(MRF), 비좌굴 가새골조(BRBF)와 힌지접합 비좌굴 가새골조 (DTBF) 구조물의 에너지 요구량을 등가 단자유도계 시스템(ESDOF)의 에너지 요구량과 비교하여 등가단자유도계로 치환하는 방법의 타당성을 검토하였다 입력에너지와 이력에너지를 산정하기 위하여 연암 지반, 연약한 토사, 단층 근처의 지반에서 계측된 60개의 지진을 사용하였으며, 모드 질량계수가 0.8보다 작은 경우 ESDOF로 변환할 때 고차모드의 효과를 고려하였다. 연구결과에 따르면 3층과 8층 MRF와 DTBF에서의 이력에너지와 입력에너지는 ESDOF의 해석결과와 비교적 잘 일치하였다. 그러나 20층 BRBF에서는 ESDOF의 결과가 본 구조물의 결과를 과소평가하는 것으로 나타났다.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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• pp.459-466
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• 2002

The purpose of this study is to propose a new method for evaluating equivalent damping ratios of a structure with supplemental damping devices to assess their control effect quantitatively. A MDOF system is transformed to an equivalent SDOF system based on the assumption that the first mode dominates structural response. Approximate closed-form formulas for the evaluation of the first damping ratio are presented for various damping devices. Through numerical analysis of a ten-story building equipped with damping devices, the effectiveness of equivalent SDOF model and closed form formulas are verified.