• Structural Engineering and Mechanics
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• 제22권6호
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• pp.665-683
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• 2006

The strength behaviors of Fiber Reinforced Plastics (FRP) Composites can be greatly influenced by the properties of constitutive materials, the laminate structures, and load conditions etc, accompanied by many uncertainty factors. So the reliability study on FRP is an important subject of research. Many achievements have been made in reliability studies based on the probability theory, but little has been done on the roles played by fuzzy variables. In this paper, a fuzzy reliability model for FRP laminates is established first, in which the loads are considered as random variables and the strengths as fuzzy variables. Then a numerical model is developed to assess the fuzzy reliability. The Monte Carlo simulation method is utilized to compute the reliability of laminas under the maximum stress criterion. In the second part of this paper, a generalized fuzzy reliability model (GFRM) is proposed. By virtue of the fact that there may exist a series of states between the failure state and the function state, a fuzzy assumption for the structure state together with the probabilistic assumption for strength parameters is adopted to construct the GFRM of composite materials. By defining a generalized limit state function, the problem is converted to the conventional reliability formula that enables the first-order reliability method (FORM) applicable in calculating the reliability index. Several examples are worked out to show the validity of the models and the efficiency of the methods proposed in this paper. The parameter sensitivity analysis shows that some of the mean values of the strength parameters have great influence on the laminated composites' reliability. The differences resulting from the application of different failure criteria and different fuzzy assumptions are also discussed. It is concluded that the GFRM is feasible to use, and can provide an effective and synthetic method to evaluate the reliability of a system with different types of uncertainty factors.

• 한국구조물진단유지관리공학회 논문집
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• 제12권1호
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• pp.158-166
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• 2008

프리스트레스하중이 작용되는 강합성교인 PSSC 교량에서 프리스트레스의 효과와 단면의 변형에 따른 텐돈의 변형의 영향을 밝히기 위해 사하중 및 활하중이 작용될 때 합성전 후에 발생하는 부재내의 변형도 및 응력변화와 허용응력 한계상태, 항복응력 한계상태 및 강도한계상태의 단면력과 부재내의 변형도 및 응력변화를 구한다. 또한 거더의 처짐 및 응력과 휨강도를 변수로 하는 한계상태들을 가정하고 이에 대한 신뢰도 분석을 수행한다. 허용응력에 맞추어 설계한 예제 단면의 응력에 대한 신뢰도 지수가 0 부근임에 비하여, 처짐 및 휨강도에 대한 신뢰도 지수는 높은 값을 주고 있어서 도로교설계기준의 허용응력에 대하여 설계한 PSSC 거더는 처짐 및 휨강도에 대하여 높은 신뢰도를 얻을 수 있음을 알 수 있다.

• 한국구조물진단유지관리공학회 논문집
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• 제12권6호
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• pp.214-224
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• 2008

프리스트레스하중이 작용되는 강합성교인 PSSC 교량에서 프리스트레스의 효과와 단면의 변형에 따른 텐던의 변형의 영향을 밝히기 위해 교량지간 25m~45m의 최적화된 표준단면에 대해 고정하중 및 활하중이 작용될 때 합성전 후에 발생하는 부재내의 변형도 및 응력변화와 허용응력 한계상태, 항복응력 한계상태 및 강도한계상태의 단면력과 부재내의 변형도 및 응력변화를 구한다. 또한 거더의 처짐 및 응력과 휨강도를 변수로 하는 한계상태들을 가정하고 이에 대한 신뢰도 분석을 수행하였다. 표준 PSSC 교량의 경우 하중 및 저항계수를 적용하여 설계하는 미국 설계기준의 목표신뢰도지수 값이 3.5 임과 비교하면, 허용응력을 기준으로 설계한 단면은 강도에 대하여 상당히 높은 수준의 신뢰도지수를 보임을 알 수 있다.

• 대한수학회보
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• 제61권2호
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• pp.479-488
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• 2024

Convergence to a steady state in the long term limit is established for global weak solutions to a chemotaxis model with degenerate local sensing and consumption, when the motility function is C¹-smooth on [0, ∞), vanishes at zero, and is positive on (0, ∞). A condition excluding that the large time limit is spatially homogeneous is also provided. These results extend previous ones derived for motility functions vanishing algebraically at zero and rely on a completely different approach.

• Wind and Structures
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• 제14권2호
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• pp.113-131
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• 2011

Excessive wind-induced motion in tall buildings can cause discomfort, affect health, and disrupt the daily activities of the occupants of a building. Dynamic vibration absorbers such as the tuned mass dampers (TMDs) can be used to reduce the wind-induced motion below a specified tolerable serviceability limit state (SLS) criterion. This study investigates whether the same probability of not exceeding specified wind-induced motion levels can be achieved by torsionally sensitive structures without/with linear/nonlinear TMDs subjected to partially correlated wind forces, if they are designed to just meet the same SLS criterion. For the analyses, different structures and the uncertainty in the response, wind load and perception of motion is considered. Numerical results indicate that for structures that are designed or retrofitted without or with optimum linear TMDs and satisfying the same SLS criterion, their probability of exceeding the considered criterion is very consistent, if the inherent correlation between the wind forces is considered in design. However, this consistency deteriorates if nonlinear TMDs are employed. Furthermore, if the correlation is ignored in the design, in many cases a slightly unconservative design, as compared to the designed by considering correlation, is achieved.

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2004년도 춘계학술발표대회 논문집
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• pp.223-227
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• 2004

The pultruded structural shapes are usually composed of thin-walled plate elements. Because the composite material has relatively low elastic moduli, the design of pultruded compression members may not be governed by the material strength limit state but by the stability limit state such as the local buckling or the global buckling. Therefore, the stability limit state must be checked to design pultruded columns. In this research, the local buckling analysis of pultruded I-shape column was conducted for various composite materials using the closed-form solution. To establish the design guidelines for the local buckling of pultruded I-shape compression members, the simplified form of equation to find the local buckling coefficient of pultruded I-shape column was proposed as a function of mechanical properties and the width ratio of plate components using the results obtainde by the closed-form solution. In order to verify the validity of proposed solution, the results obtained by the proposed approximate solution were compared with those of the closed-form solution and the experimental results.

• Structural Engineering and Mechanics
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• 제85권3호
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• pp.369-379
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• 2023

Reliability-Based Design Optimization (RBDO) is an appropriate framework for obtaining optimal designs by taking uncertainties into account. Large-scale problems with implicit limit state functions and problems with discrete design variables are two significant challenges to traditional RBDO methods. To overcome these challenges, this paper proposes a hybrid method to perform RBDO of structures that links Firefly Algorithm (FA) as an optimization tool to advanced (finite element) reliability methods. Furthermore, the Genetic Algorithm (GA) and the FA are compared based on the design cost (objective function) they achieve. In the proposed method, Weighted Simulation Method (WSM) is utilized to assess reliability constraints in the RBDO problems with explicit limit state functions. WSM is selected to reduce computational costs. To performing RBDO of structures with finite element modeling and implicit limit state functions, a First-Order Reliability Method (FORM) based on the Direct Differentiation Method (DDM) is utilized. Four numerical examples are considered to assess the effectiveness of the proposed method. The findings illustrate that the proposed RBDO method is applicable and efficient for RBDO problems with discrete and continuous design variables and finite element modeling.

• 제어로봇시스템학회논문지
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• 제4권5호
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• pp.644-650
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• 1998

In this paper , a state space model for flexible beam is presented using the assumed-modes approach. The state space equation is derived for a flexible beam in which one end is connected to a motor and is driven by a torque equation and the other end is free. Many of the transfer function proposed thus far use the torque to the flexible beam as the input and the tip deflection of the flexible beam as the output. The Technique for the analysis and synthesis of the dual-input describing function(DIDF) is introduced here and the construction of a non-linear compensator, based on this technique, is proposed. This non-linear compensator, properly connected in the direct path of a closed-loop linear or non-linear control system. The above non-linear network is used to compensate linear and non-linear systems for instability, limit cycles, low speed of response and static accuracy. The effectiveness of the proposed scheme is demonstrated through computer simulation and experimental results.

• 전산구조공학
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• 제7권1호
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• pp.109-116
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• 1994

구조물의 신뢰도를 평가하는 방법을 살표보고 각각의 장.단점을 비교한다. 각 방법의 정확성을 평가하는 기준으로는 Crude Monte Carlo(CMC)방법을 택하여 Importance Sampling(IS)방법, 그리고 Directional Simulation(DS) 방법을 살펴보고 1차 근사방법은 현재 많이 사용되고 있는 Rackwitz-Fiessler(RF)방법, Chen과 Lind가 제안한 3-parameter방법(CL), Hohenbichler가 제안한 Rosenblatt 변환방법(RT)을 그리고 2차 근사방법은 Breitung이 제안한 곡률적합 포물선 (Curvature Fitted Paraboloid, CFP) 공식과 Kiureghian이 제안한 점적합 포물선(Point Fitted Paraboloid, PFP)공식, 그리고 Log-Likelihood Function을 이용하여 원변수공간에서 파괴확률을 구하는 2차 근사공식(LLF)을 비교한다. 그리고 한계상태식이 불명확할 때 효율적으로 사용할 수 있는 반응응답법(Response sufrace method, RSM)을 살펴본다. 각 방법의 효율성 특히 적용 가능성을 예제를 통해 해석한 결과 추출법의 경우는 DS방법이, 그리고 근사방법에서는 RSM방법이 효율적임을 알 수 있다.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2009년도 춘계학술대회 논문집
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• pp.1105-1106
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• 2009