• 제목/요약/키워드: Probabilistic variation

검색결과 171건 처리시간 0.022초

Probabilistic analysis of buckling loads of structures via extended Koiter law

  • Ikeda, Kiyohiro;Ohsaki, Makoto;Sudo, Kentaro;Kitada, Toshiyuki
    • Structural Engineering and Mechanics
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    • 제32권1호
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    • pp.167-178
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    • 2009
  • Initial imperfections, such as initial deflection or remaining stress, cause deterioration of buckling strength of structures. The Koiter imperfection sensitivity law has been extended to describe the mechanism of reduction for structures. The extension is twofold: (1) a number of imperfections are considered, and (2) the second order (minor) imperfections are implemented, in addition to the first order (major) imperfections considered in the Koiter law. Yet, in reality, the variation of external loads is dominant over that of imperfection. In this research, probabilistic evaluation of buckling loads against external loads subjected to probabilistic variation is conducted by extending the concept of imperfection sensitivity. A truss arch subjected to dead and live loads is considered as a numerical example. The mechanism of probabilistic variation of buckling strength of this arch is described by the proposed method, and its reliability is evaluated.

폴리아세탈 소재의 확률론적 변형률-수명선도 평가 (An Evaluation of Probabilistic Strain-Life Curve in Polyacetal)

  • 장천수;김철수;박범규;김정규
    • 대한기계학회논문집A
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    • 제30권11호
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    • pp.1417-1424
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    • 2006
  • In order to evaluate variation of fatigue life of mechanical components including engineering plastics, it is important to estimate probabilistic strain-life curves to accurately define the variation of fatigue characteristics. This paper intends to provide new assessment of P-$\varepsilon$-N (probabilistic strain-life curves) for considering the variation of fatigue characteristics in polyacetal. The fatigue strain controlled tests were conducted under constant 50% humidity and room temperature condition by a universal testing machine at strain ratio, R=0. A practical procedure is introduced to evaluate probabilistic strain-life curves. Three probabilistic distributions were used for generating P-$\varepsilon$-N curves such as normal, 2-parameter and 3-parameter Weibull. In this study, 3-parameter Weibull distribution was found to be most appropriate among assumed distributions when the probability distributions of the fatigue characteristic were examined using chi-square and Kolmogorov-Smirnov test. The more appropriate P-$\varepsilon$-N curves for these materials are generated by the proposed method considering 3-parameter Weibull distribution.

Probabilistic time-dependent sensitivity analysis of HPC bridge deck exposed to chlorides

  • Ghosh, Pratanu;Konecny, Petr;Lehner, Petr;Tikalsky, Paul J.
    • Computers and Concrete
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    • 제19권3호
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    • pp.305-313
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    • 2017
  • A robust finite element based reinforced concrete bridge deck corrosion initiation model is applied for time-dependent probabilistic sensitivity analysis. The model is focused on uncertainties in the governing parameters that include variation of high performance concrete (HPC) diffusion coefficients, concrete cover depth, surface chloride concentration, holidays in reinforcements, coatings and critical chloride threshold level in several steel reinforcements. The corrosion initiation risk is expressed in the form of probability over intended life span of the bridge deck. Conducted study shows the time-dependent sensitivity analysis to evaluate the significance of governing parameters on chloride ingress rate, various steel reinforcement protection and the corrosion initiation likelihood. Results from this probabilistic analysis provide better insight into the effect of input parameters variation on the estimate of the corrosion initiation risk for the design of concrete structures in harsh chloride environments.

확률론적 사면안정 해석기법에 관한 연구 (A Study on the Probabilistic Stability Analysis of Slopes)

  • 김기영;조성은
    • 한국지반공학회논문집
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    • 제22권11호
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    • pp.101-111
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    • 2006
  • 사면안정해석은 많은 불확실한 요인을 내포하는 지반공학적 문제이다. 이러한 불확실성 중 일부는 해석 수행과정에 필요한 지반 물성의 변동성과관련이 있다 본 연구에서는 확률론적 사면안정 해석기법을 개발하기 위하여 절편법의 일종인 Spencer의 방법을 바탕으로 한 결정론적 해석방법을 지반정수의 불확실성과 공간적 변동성을 고려할 수 있도록 확장하였다. 제안된 방법은 Hasofer-Lind의 신뢰지수를 구하는 일차신뢰도법과 Monte-Carlo Simulation을 바탕으로 한다. 지반정수의 변화에 따른 파괴확률의 변화를 구하기 위해 단일지층과 2층 지반의 사면에 대한 확률론적 사면안정 해석을 수행하였다. 예제의 결과는 사면안정해석에 대한 지반의 불확실성을 고려할 수 있는 관점을 제시하며 확률론적 해석결과에 미치는 지반정수의 공간적 변동성의 영향을 보여준다.

최대하중조건에 따른 Mg-Al-Zn 합금의 확률변수 잔차를 이용한 확률론적 피로균열전파모델 평가 (Evaluation of Probabilistic Fatigue Crack Propagation Models in Mg-Al-Zn Alloys Under Maximum Load Conditions Using Residual of Random Variable)

  • 최선순
    • 대한기계학회논문집A
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    • 제39권1호
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    • pp.63-69
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    • 2015
  • 본 논문의 주 목적은 최대하중조건을 변화시키면서 확률변수의 잔차를 이용하여 확률론적 피로균열전파모델들을 평가하고, Mg-Al-Zn 합금의 피로균열성장거동의 변동성을 묘사하기에 적합한 확률론적 모델을 제시하는 것이다. 평가에 사용된 모델은 피로균열성장의 변동성을 나타내기 위하여 실험적 피로균열전파모델인 Paris-Erdogan 모델, Walker 모델, Forman 모델과 수정 Forman 모델에 확률변수를 도입한 모델이다. 최대하중조건에 따른 Mg-Al-Zn 합금의 피로균열전파거동의 확률적 변동성을 묘사하기에 적합한 모델은 '확률론적 Paris-Erdogan 모델'과 '확률론적 Walker 모델'임을 밝혔으며, 최대하중조건이 피로균열성장의 확률적 변동성에 미치는 영향 또한 고찰하였다.

판 구조물의 감도해석 및 신뢰성해석 (Sensitivity and Reliability Analysis of Elate)

  • 김지호;양영순
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1991년도 가을 학술발표회 논문집
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    • pp.57-62
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    • 1991
  • For the purpose of developing the method for efficiently calculating the design sensitivity and the reliability for the complicated structure such as ship structure, the probabilistic finite element method is introduced to formulate the deterministic design sensitivity analysis method and incorporated with the second moment reliability methods such as MVFOSM, AFOSM and SORM. Also, the probabilistic design sensitivity analysis needed in the reliability-based design is performed. The reliability analysis is carried out for the initial yielding failure, in which the derivative derived in the deterministic desin sensitivity is used. The present PFEM-based reliability method shows good agreement with Monte Carlo method in terms with the variance of response and the associated probability of failure even at the first or first few iteration steps. The probabilistic design sensitivity analysis evaluates explicitly the contribution of each random variable to probability of failure. Further, the reliability index variation can be easily predicted by the variation of the mean and the variance of the random variables.

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탄산화된 RC구조물의 표면보수에 대한 확률론적 LCC 평가 (Probabilistic LCC evaluation for Surface Repair of carbonated RC structure)

  • 이형민;양현민;이한승
    • 대한건축학회논문집:구조계
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    • 제34권2호
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    • pp.41-48
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    • 2018
  • Carbonation is one of the major detrimental factors to the reinforced concrete structures owing to penetration of atmospheric CO2 through the micro pores, thereby it reduces the durability of the concrete. The maintenance periods and cost for concrete according to the coefficient variation of different finishing materials is documented in literature. However, it is required to carry out the systematic and well planned studies. Therefore, keeping them in mind, surface repair was carried out to the carbonated concrete and the maintenance cost was calculated to measure the durability life after repair with different variable. The deterministic and probabilistic methods were applied for durability and repair cost of the concrete. In the existing deterministic model, the cost of repair materials increases significantly when the concrete structure reaches its service life. In present study using a stochastic model, the maintenance period and cost was evaluated. According to obtained results, there was no significant difference in the number of maintenance of the coefficient variation. The initial durability has a great influence on the maintenance time and cost of the structure. Unlike the deterministic model, the probabilistic cost estimating model reduces the number of maintenance to the target service life expectancy.

확률론적 응답면 기법을 이용한 저수지 제체의 침투수량 해석 (The Analysis of the Seepage Quantity of Reservoir Embankment using Stochastic Response Surface Method)

  • 봉태호;손영환;노수각;최우석
    • 한국농공학회논문집
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    • 제55권3호
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    • pp.75-84
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    • 2013
  • The seepage quantity analysis of reservoir embankment is very important for assessment of embankment safety. However, the conventional analysis does not consider uncertainty of soil properties. Permeability is known that the coefficient of variation is larger than other soil properties and seepage quantity is highly dependent on the permeability of embankment. Therefore, probabilistic analysis should be carried out for seepage analysis. To designers, however, the probabilistic analysis is not an easy task. In this paper, the method that can be performed probabilistic analysis easily and efficiently through the numerical analysis based commercial program is proposed. Stochastic response surface method is used for approximate the limit state function and when estimating the coefficients, the moving least squares method is applied in order to reduce local error. The probabilistic analysis is performed by LHC-MCS through the response surface. This method was applied to two type (homogeneous, core zone) earth dams and permeability of embankment body and core are considered as random variables. As a result, seepage quantity was predicted effectively by response surface and probabilistic analysis could be successfully implemented.

A Novel Eigenstructure Assignment for Linear Systems with Probabilistic Uncertainties

  • Seo, Y.B.;Choi, J.W.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.7-12
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    • 2003
  • In this paper, S(stochastic)-eigenvalue concept and its S-eigenvector for linear continuous-time systems with probabilistic uncertainties are proposed. The proposed concept is concerned with the perturbation of eigenvalues due to the probabilistic variable parameters in the dynamic model of a plant. S-eigenstructure assignment scheme via the Sylvester equation approach based on the S-eigenvalue concept is also proposed. The proposed design scheme is applied to the longitudinal dynamics of open-loop-unstable aircraft with possible uncertainties in aerodynamic and thrust effects as well as separate dynamic pressure.

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태양광발전원의 확률론적인 발전비용 산정에 관한 연구 (A Study on Probabilistic Production Costing for Solar Cell Generators)

  • 박정제;최재석
    • 전기학회논문지
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    • 제58권4호
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    • pp.700-707
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    • 2009
  • The application of renewable energy in electric power systems is growing rapidly in order to make provision for the inequality of the climate, the dwindling supplies of coal, oil and natural gas and a further rise in oil prices. Solar cell generators(SCG) is one of the fastest growing renewable energy. This paper presents a methodology on probabilistic production cost simulation of a power system including SCGs. The generated power by SCGs is variable due to the random variation of solar radiation. In order to solve this problem, the SCGs is modeled as multi-state operational model in this paper. Probabilistic production cost of a power system can be calculated by proposed method considering SCGs with multi-state. The results show that the impacts of SCGs added to a power system can be analyzed in view point of production cost using the proposed method.