• 제목/요약/키워드: limit state analysis

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Reliability of underground concrete barriers against normal missile impact

  • Siddiqui, N.A.;Khan, F.H.;Umar, A.
    • Computers and Concrete
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    • 제6권1호
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    • pp.79-93
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    • 2009
  • In the present paper, a methodology has been presented for the reliability assessment of concrete barriers that lie at a certain depth in the soil, and a missile (a rigid projectile) impacts the top of the soil cover normally, and subsequently after penetrating the soil cover completely it hits the barrier with certain striking velocity. For this purpose, using expressions available in the literature, striking velocity of missile at any depth of soil has been derived and then expressions for the depths of penetration in crater and tunnel region of concrete barrier have been deduced. These depths of penetration have been employed for the derivation of limit state functions. Using the derived limit state functions reliability assessment of underground concrete barrier has then been carried out through First Order Reliability Method (FORM). To study the influence of various random variables on barrier reliability, sensitivity analysis has also been carried out. In addition, a number of parametric studies is conducted to obtain the results of practical interest.

Reliability analysis of steel cable-stayed bridges including soil-pile interaction

  • Cheng, Jin;Liu, Xiao-luan
    • Steel and Composite Structures
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    • 제13권2호
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    • pp.109-122
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    • 2012
  • An efficient and accurate algorithm is proposed to evaluate the reliability of cable-stayed bridges accounting for soil-pile interaction. The proposed algorithm integrates the finite-element method and the response surface method. The finite-element method is used to model the cable-stayed bridge including soil-pile interaction. The reliability index is evaluated based on the response surface method. Uncertainties in the superstructure, the substructure and load parameters are incorporated in the proposed algorithm. A long span steel cable-stayed bridge with a main span length of 1088 m built in China is considered as an illustrative example. The reliability of the bridge is evaluated for the strength and serviceability performance functions. Results of the study show that when strength limit states for both girder and tower are considered, soil-pile interaction has significant effects on the reliability of steel cable-stayed bridges. Further, a detailed sensitivity study shows that the modulus of subgrade reaction is the most important soil-pile interaction-related parameter influencing the reliability of steel cable-stayed bridges.

콘크리트 구조물의 반복적 동결융해에 의한 확률론적 열화예측모델 (Probabilistic Prediction Model for the Cyclic Freeze-Thaw Deteriorations in Concrete Structures)

  • 조태준
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2006년도 추계 학술발표회 논문집
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    • pp.957-960
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    • 2006
  • In order to predict the accumulated damages by cyclic freeze-thaw, a regression analysis by the Response Surface Method (RSM) is used. RSM has merits when the other probabilistic simulation techniques can not guarantee the convergence of probability of occurrence or when the others can not differentiate the derivative terms of limit state functions, which are composed of random design variables in the model of complex system or the system having higher reliability. For composing limit state function, the important parameters for cyclic freeze-thaw-deterioration of concrete structures, such as water to cement ratio, entrained air pores, and the number of cycles of freezing and thawing, are used as input parameters of RSM. The predicted results of relative dynamic modulus and residual strains after 300 cycles of freeze-thaw for specimens show very good agreements with the experimental results. The RSM result can be used to predict the probability of occurrence for designer specified critical values. Therefore, it is possible to evaluate the life cycle management of concrete structures considering the accumulated damages by the cyclic freeze-thaw by the use of proposed prediction method.

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Analysis of A Two-Machine One Repairman Problem

  • Kang Sung-Jin;Feidman Richard M.
    • 한국국방경영분석학회지
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    • 제16권1호
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    • pp.142-150
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    • 1990
  • This paper combines research in the areas of replacement and machine interference. Although over the past three decades there has been a great deal of research in the area of optimal replacement for stochastically deteriorating equipment and research dealing with machine interference problems : there has been a lack of research when these two areas are combined. However, the melding of these two well-known areas yields a very practical problem which demands theoretical investigation. In this paper we derive the steady state probabilities with a control limit policy for a two-machine one repairman problem. The control policy is a simple age dependent control described by the control limit, $t^{*}$. Once $t^{*}$ is fixed, the steady state probabilites that one, two, and no machines are working will be obtained.

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Comparative study on the structural behavior of a transition piece for offshore wind turbine with jacket support

  • Ma, Chuan;Zi, Goangseup
    • Steel and Composite Structures
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    • 제43권3호
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    • pp.363-373
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    • 2022
  • As a key reinforcement connection between a tower and a substructure in offshore wind turbine system, the transition piece is inevitably subjected to cyclic dynamic environmental loads such as wind, current and wave. Therefore, well designed transition piece with high strength and good fatigue resistance is of great significance to the structural safety and reliability of offshore wind power systems. In this study, the structural behavior of the transition piece was studied by an extensive sets of finite element analyses. Three widely used types of transition piece were considered. The characteristics of stress development, fatigue life and weight depending on the type of the transition piece were investigated in the ultimate limit state (ULS) and the fatigue limit state (FLS) of a 5-MW offshore wind turbine to be placed in Korea. An optimal form of the transition piece was proposed based on this parametric study.

박판 탄성구조물의 최적해석을 위한 계층적 모델에 관한 연구 (A Study of Hierarchical Models for the Optimal Analysis of Thin Elastic Structures)

  • 조진래
    • 대한기계학회논문집A
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    • 제21권6호
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    • pp.933-941
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    • 1997
  • In the analysis of thin elastic structures such as plate and shell-like structures, classical lower-order theories like Kirchhoff and Reissner-Mindin theories are insufficient to describe the behavior of such structures in the region where the state of stresses is complex. On the other hand, the fully three dimensional theory of linear elasticity can provide desired analysis accuracy, but requires expensive computational implementation compared to the classical theories. This paper is concerned with the development of hierarchical models for elastic structures which can be used for hierarchical modeling for the analysis of such structures. Derivation and limit model analysis (when the thickness of structures tends to zero) of hierarchical models are presented together with a introduction of modeling error estimation. Also, numerical results supporting theoretical results are given.

SUMT 법(法)을 이용(利用)한 철근(鐵筋)콘크리트 뼈대구조물(構造物)의 최적설계(最適設計)에 관한 연구(研究) (A Study on the Optimal Design of Reinforced Concrete Frames Using SUMT)

  • 정영채;이규원
    • 대한토목학회논문집
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    • 제4권1호
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    • pp.27-48
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    • 1984
  • 본(本) 연구(硏究)는 한계상태(限界狀態) 설계(設計) 이론(理論)에 의한 철근(鐵筋)콘크리트 뼈대구조물(構造物)에 관(關)한 것이다. 한계상태이론(限界狀態理論)에 의한 철근(鐵筋)콘크리트 뼈대구조물(構造物)에 대한 최적설계(最適設計)의 문제형성(問題形成)은 철근(鐵筋)의 단면적(斷面積), 단면(斷面)의 폭(幅)과 유효고(有效高) 그리고 모멘트 감소율(減少率)을 설계변수(設計變數)로 취급(取扱)하는 비선형(非線型) 계획(計劃) 문제(問題)로 된다. 목적함수(目的凾數)는 철근(鐵筋)콘크리트 뼈대구조물(構造物)의 철근(鐵筋)과 콘크리트 및 거푸집의 비용(費用)을 고려(考慮)하는 총(總) 건설경비(建設經費)로 형성(形成)되고, 기본(基本) 제약조건식(制約條件式)들은 극한(極限) 한계상태(限界狀態)와 사용성(使用性) 한계상태(限界狀態)의 개념(槪念)을 내포하고 있다. 또한 CP110과 Hognestad et al. 이론(理論)에서 가정(假定)된 응력분포도(應力分布圖)를 극한(極限) 한계상태(限界狀態)를 위해 극한(極限) 저항단면력(抵抗斷面力)을 해석(解析)하는데 적용(適用)되었고, 사용성(使用性) 한계상태(限界狀態)를 위해서는 CP110의 규준(規準)만을 사용(使用)한다. 철근(鐵筋)콘크리트 뼈대구조물(構造物)의 최적화(最適化)를 위한 비선형(非線型) 계획(計劃) 문제(問題)를 풀기 위해서 적용(適用)된 최적화(最適化) 기법(技法)은 수정(修正) Newton-Raphson 법(法)을 이용한 SUMT 알고리즘이다. 본(本) 알고리즘을 2종(種)의 뼈대구조물(構造物)에 시행(試行)해 보았고, 본(本) 알고리즘의 수감성(收歛性), 적용가능성(適用可能性) 및 안정성(安定性)을 검토(檢討)하기 위해 문헌(文獻)(10)의 수치결과(數値結果)와도 비교분석(比較分析)하였다. 결론적(結論的)으로 수치분석(數値分析)을 통(通)하여 CP110과 Hognestad et al.의 경제성(經濟性) 비교(比較)와 본(本) 알고리즘의 적용가능성(適用可能性), 안정성(安定性), 수감성(收歛性) 및 확실성(確實性) 등에 대하여 논의(論議)되었다.

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한계상태 정의에 따른 FRP Rebar 보강 콘크리트 슬래브의 구조거동 예측 (Prediction of Structural Behavior of FRP Rebar Reinforced Concrete Slab based on the Definition of Limit State)

  • 오홍섭;김영환;장낙섭
    • 대한토목학회논문집
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    • 제40권4호
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    • pp.371-381
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    • 2020
  • FRP로 보강된 콘크리트 부재의 파괴형태는 콘크리트 압괴와 섬유 파단으로 정의되며, 설계방법에 따라 한계상태를 조금씩 다르게 정의하고 있다. FRP 보강재는 섬유에 따라 성능이 상이하기 때문에 사용상태와 극한상태의 성능을 예측하는 것이 상대적으로 까다롭다. 특히 많이 사용되고 있는 ACI 440의 기준은 주로 저탄성계수를 갖는 GFRP를 중심으로 개발되었기 때문에 다른 섬유에 대한 적용성이 충분히 검증되지 않은 상태이다. 또한 ACI440의 휨한계상태는 보강비에 따라 압괴와 파단이 동시에 발생하는 천이영역이 상대적으로 크기 때문에 균형보강비에서의 거동예측이 상대적으로 어렵고, 사용성 예측 방법이 하중조건에 따라 민감하기 때문에 상대적으로 복잡한 단점이 있다. 따라서 본 연구에서는 0.8~1.2 𝜌b의 보강비를 갖는 슬래브의 실험결과와 문헌고찰을 통하여 설계방법별 거동예측의 신뢰성과 편이성을 고찰하였다. 해석결과 Model Code의 모멘트 곡률식(LIM-MC) 간략식의 경우 FRP 보강구조물에도 충분히 적용할 수 있는 것으로 분석되었으며, EC2에 기반한 한계상태 설계법이 상대적로 극한강도설계법보다 신뢰성 있는 결과를 나타내었다.

격납건물의 내진안전성 평가 (Seismic Safety Assessment of Containment Building)

  • 이성로;배용귀
    • 한국구조물진단유지관리공학회 논문집
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    • 제8권3호
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    • pp.225-233
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    • 2004
  • 본 연구에서는 응답면기법을 이용하여 격납건물의 내진안전성 평가를 하였다. ABAQUS를 이용하여 하중, 저항과 해석에서의 랜덤변수를 고려한 구조해석을 수행하였고 이로부터 변수의 다항식으로 표현되는 구조물의 응답을 얻었다. 그리고 Level II에 의해 신뢰성해석을 하였다. 한계상태함수로는 콘크리트의 2축응력 상태를 고려하기 위해 Drucker-Prager 파괴기준을 이용하였다. 구조물의 수명, 지진의 연발생율과 조건부 파괴확률을 고려하여 격납건물의 파괴확률을 계산하였다. 또한 응답면기법의 안정적인 결과를 얻기 위해 표본점 선정에 대한 민감도해석을 수행하였다.

Optimal seismic retrofit design method for asymmetric soft first-story structures

  • Dereje, Assefa Jonathan;Kim, Jinkoo
    • Structural Engineering and Mechanics
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    • 제81권6호
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    • pp.677-689
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    • 2022
  • Generally, the goal of seismic retrofit design of an existing structure using energy dissipation devices is to determine the optimum design parameters of a retrofit device to satisfy a specified limit state with minimum cost. However, the presence of multiple parameters to be optimized and the computational complexity of performing non-linear analysis make it difficult to find the optimal design parameters in the realistic 3D structure. In this study, genetic algorithm-based optimal seismic retrofit methods for determining the required number, yield strength, and location of steel slit dampers are proposed to retrofit an asymmetric soft first-story structure. These methods use a multi-objective and single-objective evolutionary algorithms, each of which varies in computational complexity and incorporates nonlinear time-history analysis to determine seismic performance. Pareto-optimal solutions of the multi-objective optimization are found using a non-dominated sorting genetic algorithm (NSGA-II). It is demonstrated that the developed multi-objective optimization methods can determine the optimum number, yield strength, and location of dampers that satisfy the given limit state of a three-dimensional asymmetric soft first-story structure. It is also shown that the single-objective distribution method based on minimizing plan-wise stiffness eccentricity turns out to produce similar number of dampers in optimum locations without time consuming nonlinear dynamic analysis.