• 제목/요약/키워드: SRSS method

검색결과 20건 처리시간 0.019초

Simplified Estimation Method for Collective Uncertainty-Propagations of Hysteretic Energy Dissipating Device's Properties

  • Shin, Dong-Hyeon;Kim, Hyung-Joon
    • 국제강구조저널
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    • 제18권5호
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    • pp.1508-1524
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    • 2018
  • Hysteretic energy dissipating devices (HEDDs) have been increasingly applied to building construction to improve the seismic performance. The seismic responses of such damped structures are significantly affected by HEDD's structural properties. An accurate investigation on the propagation of HEDD's structural properties is required for reasonable evaluation of the seismic performance of a structure. This study aims to develop simplified methods that can estimate the collective uncertainty-propagation to the seismic response of damped structures employing HEDDs. To achieve this, three- and six-story steel moment-resisting frames were selected and the propagations of the individual HEDD's property-uncertainties were evaluated when they are subjected to various levels of seismic demand. Based on the result of individual uncertainty-propagations, a simplified method is proposed to evaluate the variation of seismic response collectively propagated by HEDD's property-uncertainties and is verified by comparing with the exact collective uncertainty-propagation calculated using the Monte Carlo simulation method. The proposed method, called as a modified SRSS method in this study, is established from a conventional square root of the sum of the squares (SRSS) method with the relative contributions of the individual HEDD's property-uncertainty propagations. This study shows that the modified SRSS method provides a better estimation than the conventional SRSS method and can significantly reduce computational time with reasonable accuracy compared with the Monte Carlo simulation method.

지진을 받는 현수교의 수직진동 (Vertical Seismic Vibration of Suspension Bridges)

  • 최지훈;이존자;김수보;이용재
    • 한국강구조학회 논문집
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    • 제12권5호통권48호
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    • pp.581-593
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    • 2000
  • 본 연구는 지진하중을 받는 현수교의 수직 동적 해석방법을 발전시켰다. 시간 영역해석, 불규칙 진동 해석 및 스펙트럼 해석의 이론을 체계적으로 정립하였다. 불규칙 진동 해석을 다시 수치적분을 이용하는 방법과 수학적 적분식 및 상관계수를 이용한 방법으로 나누고 각각은 다시 지진하중을 white noise로 가정한 경우와 filtered white noise로 가정한 경우에 대해 CQC 방법과 SRSS 방법을 사용하였다. 현수교의 모델링은 빔, 트러스 및 프레임요소를 사용하였고 케이블과 주탑은 사하중에 의한 기하학적 강성을 고려하였다.

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곡선교의 내진 해석 시 곡률에 따른 하중 조합 방법의 비교에 관한 연구 (A Study on Comparison of Combination Rules for the Seismic Analysis on Curved Bridges with the Different Radiuses of Curvature)

  • 류동현;신명규;박진완;김문겸
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2008년도 정기 학술대회
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    • pp.567-572
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    • 2008
  • This paper's purpose is to improve determining of the critical response of curved bridge to multi-component seismic motion. There are several methods to combine responses by multi-component excitation response, 30%, 40% rules and square-root-of-sum (SRSS). These combination rules determine same value of critical response in straight bridges. However, each method has critical response value of different magnitude in curved bridges. Thus a study about critical response of curved bridges is required. This paper presents comparison critical responses value as each combination rule, 30%, 40% rules and SRSS on curved bridges with the different radiuses of curvature. This study was carried out by response spectrum analysis of OO IC steel box girder bridge using SAP2000. It is concluded as follows: 1) In curved bridges, 30% and 40% rules tend to underestimate the critical response relatively to SRSS. 2) When bridges have smaller radiuses than 100m, difference between SRSS and 30% or 40% rules let run errors up as radiuses of curvature decreased.

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최소오차 최적합화 방법에 의한 인공 시간이력 지진기록군의 생성 (Generation of Artificial Time History Earthquake Record Family using the Least Squares Fitting Method)

  • 김용석
    • 한국지진공학회논문집
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    • 제12권5호
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    • pp.31-38
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    • 2008
  • 최근 구조물의 지진해석에서 시간이력 지진해석의 필요성이 증대되고 있는데, 시간이력해석을 위해서는 최소7개의 지진기록을 사용하도록 IBC2003, ASCE와 KBC2005의 내진설계 기준에서 요구하고 있다. 시간이력 지진해석을 위해 지진기록의 선정은 주어진 대지 조건에 따른 설계스펙트럼을 만족하도록 시간이력 지진기록을 설계 지반조건과 유사한 지반에서 계측된 지진기록들 중에서 선정하거나 설계스펙트럼을 만족하는 인공지진기록을 생성하여 사용할 수 있지만, 이 연구에서는 절충적 방법으로 태평양지진연구센터(PEER) 데이터베이스에서 암반 지진기록으로 알려진 50개 계측지진기록을 이용하여 7개 인공 시간이력 지진기록을 생성하였다. 일차 조정계수를 곱한 지진응답스펙트럼이 목표설계스펙트럼에 최적합한 7개 지진기록을 선정하고, SRSS 평균값이 목표설계스펙트럼과 최소의 오차를 갖게 하는 최적합화법으로 구한 조정계수를 선정된 각 지진기록에 곱하여 7개 인공 시간이력 지진기록군을 생성하였다.

Combined effect of the horizontal components of earthquakes for moment resisting steel frames

  • Reyes-Salazar, Alfredo;Juarez-Duarte, Jose A.;Lopez-Barraza, Arturo;Velazquez-Dimas, Juan I.
    • Steel and Composite Structures
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    • 제4권3호
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    • pp.189-209
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    • 2004
  • The commonly used seismic design procedures to evaluate the maximum effect of both horizontal components of earthquakes, namely, the Square Root of the Sum of the Squares (SRSS) and the 30-percent (30%) combination rules, are re-evaluated. The maximum seismic responses of four three-dimensional moment resisting steel frames, in terms of the total base shear and the axial loads at interior, lateral and corner columns, are estimated as realistically as possible by simultaneously applying both horizontal components. Then, the abovementioned combination rules and others are evaluated. The numerical study indicates that both, the SRSS rule and the 30% combination method, may underestimate the combined effect. It is observed that the underestimation is more for the SRSS than for the 30% rule. In addition, the underestimation is more for inelastic analysis than for elastic analysis. The underestimation cannot be correlated with the height of the frames or the predominant period of the earthquakes. A basic probabilistic study is performed in order to estimate the accuracy of the 30% rule in the evaluation of the combined effect. Based on the results obtained in this study, it is concluded that the design requirements for the combined effect of the horizontal components, as outlined in some code-specified seismic design procedures, need to be modified. New combination ways are suggested.

설계부재력에 대한 지진하중의 방향 및 직교성 영향 (Directional and Orthogonal Effects of Seismic Loads on Design Member Forces)

  • 고동우;정성욱;이한선
    • 한국지진공학회논문집
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    • 제9권3호
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    • pp.51-58
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    • 2005
  • 최근 우리나라에서는 건축적 또는 사회적 요구로 비정형 고층 RC건물이 급증하고 있으나, 이와 같은 건물을 내진설계하는데 요구되는 지진의 방향성과 직교성을 적응하기 위한 구체적인 방법이 제시되어 있지 않아 설계자들이 설계하는데 어려움이 있다. 따라서, 본 논문에서는 우리나라에서 실제 건설된 비정형고층 RC건물을 스펙트럼해석법과 시간이력해석법에 따라 SAP2000을 사용하여 동적해석을 수행한 후, 하부골조 기둥의 설계력을 비교함으로써 주축의 설정과 지진의 방향성을 고려하는 것이 설계력에 미치는 영향, 그리고 방향성과 직교성을 모두 만족시킬 수 있는 방법에 대해 연구하였다. 연구결과 내린 결론은 다음과 같다. 1) 지진에 직각방향 전단력이 발생하지 않는 방향을 주축으로 정의하여 설계부재력을 구하면, 동적밑면전단력 보정계수가 감소하기 때문에 X, Y축을 주축으로 정하여 설계부재력 구하였을 때보다 설계부재력이 $15\%$정도 작은 값을 보여주었다. 2) 100/30법에 따라 방향성을 고려하여 구한 설계부재력은 2방향 시간이력해석결과로부터 구한 최대설계부재력보다 큰 값을 보여주어 100/30법에 따라 직교성을 고려하는 방법은 타당한 것으로 나타났으나, 시간이력해석결과에서 부재력을 나타내는 벡터$(P,\;M_y,\;and\;M_z)$ 많은 부분이 100/30법에 따라 예측한 설계부재력의 영역을 벗어났다.

모드의 방향이 불분명한 건축구조물의 지진해석 (Seismic Analysis of Building Structures with Ambiguous Modal Direction)

  • 김태호;이동근;김대곤
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.513-520
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    • 2002
  • This study is for seismic analysis of building structures with ambiguous modal direction This case is revealed symmetrical building structure or the structure that isn't coincided building axis with physical axis. Seismic analysis-time history analysis, response spectrum analysis and lateral force procedure-is carried out. It is concluded that analysis method for the structure with ambiguous modal direction don't suitable for lateral force procedure. It is recommended to use the CQC method for combining modal responses to the individual components and the SRSS rule for combining responses to the two horizontal components are of nearly equal intensities.

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고차모드 효과를 고려한 모드조합법 (Modal Combination Method Considering Higher Mode Effects)

  • 엄태성;이혜린;박홍근
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2005년도 학술발표회 논문집
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    • pp.185-192
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    • 2005
  • Using existing static methods, it is possible to estimate accurately the reponses of structures governed by the fundamental mode. However, these methods do not provide reliable estimates for the structure where higher mode effects are significant. Parametric study was performed to analyze the dynamic characteristics of the structure with long vibration period. Based on the investigations, a new modal combination method using modal combination coefficients, Factored Modal Combination, was developed, and static earthquake load patterns addressing higher mode effects reasonably were proposed. Existing modal combination methods, such as SRSS and CQC, lack a theoretical basis to be applied to inelastic structures. In contrast, the proposed method can be applied conveniently in inelastic range as well as in elastic range.

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Seismic behavior of suspended building structures with semi-rigid connections

  • Liu, Yuxin;Lu, Zhitao
    • Earthquakes and Structures
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    • 제7권4호
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    • pp.415-448
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    • 2014
  • A method is presented in this paper to analyze the dynamic response behavior of suspended building structures. The effect of semi-rigid connections that link suspended floors with their supporting structure on structural performance is investigated. The connections, like the restrains in non-structural suspended components, are designed as semi-rigid to avoid pounding and as energy dissipation components to reduce structural response. Parametric study is conducted to assess the dynamic characteristics of suspended building structures with varying connection stiffness and suspended mass ratios. Modal analysis is applied to identify the two distinct sets of vibration modes, pendulum and bearing, of a suspended building structure. The cumulative modal mass is discussed to ensure the accuracy in applying the method of response spectrum analysis by SRSS or CQC modal combination. Case studies indicate that a suspended building having semi-rigid connections and proper suspended mass ratios can avoid local pounding failure and reduce seismic response.

Efficient seismic analysis of multi-story buildings

  • Lee, Dong Guen;Kim, Hee Cheul
    • Structural Engineering and Mechanics
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    • 제4권5호
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    • pp.497-511
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    • 1996
  • The equivalent static force procedure and the response spectrum analysis method are widely used for seismic analyses of multi-story buildings. The equivalent static force procedure is one of the most simple but less accurate method in predicting possible seismic response of a structure. The response spectrum analysis method provides more accurate results while it takes much longer computational time. In the response spectrum method, dynamic response of a multi-story building is obtained by combining modal responses through a proper procedure such as SRSS or CQC method. Since all of the analysis results are expressed in absolute values, structural engineers have difficulties to combine them with the results obtained from the static analysis. Design automation is interrupted at this stage because of the difficulty in the decision of the most critical design load. Pseudo-dynamic analysis method proposed in this study provides more accurate seismic analysis results than those of the equivalent static force procedure since the dynamic characteristics of a structure is considered. And the proposed method has an advantage in combination of the analysis results due to gravity loads and seismic loads since the direction of the forces can be considered.