• 제목/요약/키워드: probability model of yield strength

검색결과 9건 처리시간 0.022초

Effect of Boundary Conditions of Failure Pressure Models on Reliability Estimation of Buried Pipelines

  • Lee, Ouk-Sub;Pyun, Jang-Sik;Kim, Dong-Hyeok
    • International Journal of Precision Engineering and Manufacturing
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    • 제4권6호
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    • pp.12-19
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    • 2003
  • This paper presents the effect of boundary conditions in various failure pressure models published for the estimation of failure pressure. Furthermore, this approach is extended to the failure prediction with the aid of a failure probability model. The first order Taylor series expansion of the limit state function is used in order to estimate the probability of failure associated with each corrosion defect in buried pipelines for long exposure period with unit of years. A failure probability model based on the von-Mises failure criterion is adapted. The log-normal and standard normal probability functions for varying random variables are adapted. The effects of random variables such as defect depth, pipe diameter, defect length, fluid pressure, corrosion rate, material yield stress, material ultimate tensile strength and pipe thickness on the failure probability of the buried pipelines are systematically investigated for the corrosion pipeline by using an adapted failure probability model and varying failure pressure model.

철근 콘크리트용 봉강의 역학적 특성의 통계적 변동성 (Statistical Variability of Mechanical Properties of Reinforcements)

  • 김지상;백민희
    • 대한토목학회논문집
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    • 제31권2A호
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    • pp.115-120
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    • 2011
  • 철근콘크리트 부재의 강도는 시공오차, 부재단면치수, 철근 및 콘크리트 재료의 역학적 특성 등의 불확실성 때문에 통계적인 변동성을 보인다. 부재 저항강도의 불확실성을 고려하고 신뢰성을 확보하기 위하여는 이러한 불확실성에 대한 정확한 평가가 필요한데, 국내의 경우 특히 철근의 역학적 특성 변동성에 대한 실험 및 연구가 활발하지 못하여 국내 설계기준작성의 기초가 되는 자료는 주로 외국의 연구 성과를 인용하고 있다. 이 논문에서는 우리나라 실정에 맞는 철근의 확률모델을 개발하기위하여 국내에서 생산된 철근의 강도특성자료를 수집하여 강도와 지름, 생산회사별로 분석하였다. 그 결과 철근의 항복강도의 확률특성은 베타분포로 모델링 하는 것이 타당한 것으로 나타났으며 공칭항복강도와 철근제조회사, 그리고 철근의 직경이 철근강도에 통계적 특성에 큰 영향은 미치지 않는 것으로 나타났다.

파손압력모델의 경계조건을 이용한 매설배관의 파손확률 평가 (Estimation of Failure Probability Using Boundary Conditions of Failure Pressure Model for Buried Pipelines)

  • 이억섭;김의상;김동혁
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.310-315
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    • 2003
  • This paper presents the effect of boundary condition of failure pressure model for buried pipelines on failure prediction by using a failure probability model. The first order Taylor series expansion of the limit state function is used in order to estimate the probability of failure associated with various corrosion defects for long exposure periods in years. A failure pressure model based on a failure function composed of failure pressure and operation pressure is adopted for the assessment of pipeline failure. The effects of random variables such as defect depth, pipe diameter, defect length, fluid pressure, corrosion rate, material yield stress, material ultimate tensile strength and pipe thickness on the failure probability of the buried pipelines are systematically studied by using a failure probability model for the corrosion pipeline.

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Reliability Estimation of Buried Gas Pipelines in terms of Various Types of Random Variable Distribution

  • Lee Ouk Sub;Kim Dong Hyeok
    • Journal of Mechanical Science and Technology
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    • 제19권6호
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    • pp.1280-1289
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    • 2005
  • This paper presents the effects of corrosion environments of failure pressure model for buried pipelines on failure prediction by using a failure probability. The FORM (first order reliability method) is used in order to estimate the failure probability in the buried pipelines with corrosion defects. The effects of varying distribution types of random variables such as normal, lognormal and Weibull distributions on the failure probability of buried pipelines are systematically investigated. It is found that the failure probability for the MB31G model is larger than that for the B31G model. And the failure probability is estimated as the largest for the Weibull distribution and the smallest for the normal distribution. The effect of data scattering in corrosion environments on failure probability is also investigated and it is recognized that the scattering of wall thickness and yield strength of pipeline affects the failure probability significantly. The normalized margin is defined and estimated. Furthermore, the normalized margin is used to predict the failure probability using the fitting lines between failure probability and normalized margin.

Yield displacement profiles of asymmetric structures for optimum torsional response

  • Georgoussis, George K.
    • Structural Engineering and Mechanics
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    • 제45권2호
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    • pp.233-257
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    • 2013
  • Given the yield shear of a single-story inelastic structure with simple eccentricity, the problem of strength distribution among the resisting elements is investigated, with respect to minimize its torsional response during a ground motion. Making the hypothesis that the peak accelerations, of both modes of vibration, are determined from the inelastic acceleration spectrum, and assuming further that a peak response quantity is obtained by an appropriate combination rule (square root of sum of squares-SRSS or complete quadratic combination-CQC), the first aim of this study is to present an interaction relationship between the yield shear and the maximum torque that may be developed in such systems. It is shown that this torque may be developed, with equal probability, in both directions (clockwise and anticlockwise), but as it is not concurrent with the yield shear, a rational design should be based on a combination of the yield shear with a fraction of the peak torque. The second aim is to examine the response of such model structures under characteristic ground motions. These models provide a rather small peak rotation and code provisions that are based on such principles (NBCC-1995, UBC-1994, EAK-2000, NZS-1992) are superiors to EC8 (1993) and to systems with a stiffness proportional strength distribution.

COLLAPSE PRESSURE ESTIMATES AND THE APPLICATION OF A PARTIAL SAFETY FACTOR TO CYLINDERS SUBJECTED TO EXTERNAL PRESSURE

  • Yoo, Yeon-Sik;Huh, Nam-Su;Choi, Suhn;Kim, Tae-Wan;Kim, Jong-In
    • Nuclear Engineering and Technology
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    • 제42권4호
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    • pp.450-459
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    • 2010
  • The present paper investigates the collapse pressure of cylinders with intermediate thickness subjected to external pressure based on detailed elastic-plastic finite element (FE) analyses. The effect of the initial ovality of the tube on the collapse pressure was explicitly considered in the FE analyses. Based on the present FE results, the analytical yield locus, considering the interaction between the plastic collapse and local instability due to initial ovality, was also proposed. The collapse pressure values based on the proposed yield locus agree well with the present FE results; thus, the validity of the proposed yield locus for the thickness range of interest was verified. Moreover, the partial safety factor concept based on the structural reliability theory was also applied to the proposed collapse pressure estimation model, and, thus, the priority of importance of respective parameter constituting for the collapse of cylinders under external pressure was estimated in this study. From the application of the partial safety factor concept, the yield strength was concluded to be the most sensitive, and the initial ovality of tube was not so effective in the proposed collapse pressure estimation model. The present deterministic and probabilistic results are expected to be utilized in the design and maintenance of cylinders subjected to external pressure with initial ovality, such as the once-through type steam generator.

사면안정의 확률론적 해석 (Probabilistic Analysis of the Stability of Soil Slopes)

  • 김영수
    • 대한토목학회논문집
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    • 제8권3호
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    • pp.85-90
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    • 1988
  • 균질토 사면에서 파괴에 대한 확률론적모델이 제시되었다. 사면의 안전은 관례적인 안전을 보다는 파괴확률로써 측정된다. 사면파괴의 Safety Margin은 정규분포라 가정하였다. 어떤 균질한 흙층에 있어서 흙의 특성에 영향을 주는 불확실성의 원인은 본래의 공간적인 가변성, 불충분한 시료에서 오는 판단오차 그리고 실험오차등이 었다. 파괴면을 따라 존재하는 전단강도의 불확실성은 1차원 Random Field Madels로 표현되었다. 파괴aus의 양상은 대수나선 곡선을 따른다고 가정하였다. 파괴면과 그것을 따라 작용하는 힘의 통계적 특성을 유도하여 사면의 파괴확률을 계산하였다. 마지막으로 개발된 절차가 사면의 신뢰성 해석에 대한 하나의 예제 연구에 적용되었다.

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진행성 파괴에 대한 사면안정의 확률론적 해석 (Probabilistic Analyrgis of Slope Stactility for Progressive Failure)

  • 김영수
    • 한국지반공학회지:지반
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    • 제4권2호
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    • pp.5-14
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    • 1988
  • 균질토 사면에서 진행성 파괴에 대한 확를론적 모델이 제시되었다. 파괴면 위의 어떤 절편에 대한 국부적인 Safety Margin은 정규분포차 가정하였다. 파괴면을 따라 존재하는 전단강도의 불확실성은 1차원 Random Field Models로 표현되었다. 이 연구에서는 파괴가 Toe에서 시작되어 사면 정상까지 진행되는 경우만을 고려하였다. 파괴면위의 어느 두 인접 절편의 Safety Margin의 Joint Distribution은 Bivariate Normal로 가정하였다. 활동파괴의 전체적인 파괴확률은 일련의 Conditional events의 급으로 표현되었다. 최종적으로 개발된 절차가 절취사면의 신뢰도를 얻기 위하여 한 예에 적용되었다.

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Optimum design of lead-rubber bearing system with uncertainty parameters

  • Fan, Jian;Long, Xiaohong;Zhang, Yanping
    • Structural Engineering and Mechanics
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    • 제56권6호
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    • pp.959-982
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    • 2015
  • In this study, a non-stationary random earthquake Clough-Penzien model is used to describe earthquake ground motion. Using stochastic direct integration in combination with an equivalent linear method, a solution is established to describe the non-stationary response of lead-rubber bearing (LRB) system to a stochastic earthquake. Two parameters are used to develop an optimization method for bearing design: the post-yielding stiffness and the normalized yield strength of the isolation bearing. Using the minimization of the maximum energy response level of the upper structure subjected to an earthquake as an objective function, and with the constraints that the bearing failure probability is no more than 5% and the second shape factor of the bearing is less than 5, a calculation method for the two optimal design parameters is presented. In this optimization process, the radial basis function (RBF) response surface was applied, instead of the implicit objective function and constraints, and a sequential quadratic programming (SQP) algorithm was used to solve the optimization problems. By considering the uncertainties of the structural parameters and seismic ground motion input parameters for the optimization of the bearing design, convex set models (such as the interval model and ellipsoidal model) are used to describe the uncertainty parameters. Subsequently, the optimal bearing design parameters were expanded at their median values into first-order Taylor series expansions, and then, the Lagrange multipliers method was used to determine the upper and lower boundaries of the parameters. Moreover, using a calculation example, the impacts of site soil parameters, such as input peak ground acceleration, bearing diameter and rubber shore hardness on the optimization parameters, are investigated.