• Title/Summary/Keyword: 확률적 거동

Search Result 184, Processing Time 0.02 seconds

Evaluation of Void Distribution on Lightweight Aggregate Concrete Using Micro CT Image Processing (Micro CT 이미지 분석을 통한 경량 골재 콘크리트의 공극 분포 분석)

  • Chung, Sang-Yeop;Kim, Young-Jin;Yun, Tae Sup;Jeon, Hyun-Gyu
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.31 no.2A
    • /
    • pp.121-127
    • /
    • 2011
  • Spatial distribution of void space in concrete materials strongly affects mechanical and physical behaviors. Therefore, the identification of characteristic void distribution helps understand material properties and is essential to estimate the integrity of material performance. The 3D micro CT (X-ray microtomography) is implemented to examine and to quantify the void distribution of a lightweight aggregate concrete using an image analysis technique and probabilistic approach in this study. The binarization and subsequent stacking of 2D cross-sectional images virtually create 3D images of targeting void space. Then, probability distribution functions such as two-point correlation and lineal-path functions are applied for void characterization. The lightweight aggregates embedded within the concrete are individually analyzed to construct the intra-void space. Results shows that the low-order probability functions and the density distribution based on the 3D micro CT images are applicable and useful methodology to characterize spatial distribution of void space and constituents in concrete.

Probabilistic Seepage Analysis by the Finite Element Method Considering Spatial Variability of Soil Permeability (투수계수의 공간적 변동성을 고려한 유한요소법에 의한 확률론적 침투해석)

  • Cho, Sung-Eun
    • Journal of the Korean Geotechnical Society
    • /
    • v.27 no.10
    • /
    • pp.93-104
    • /
    • 2011
  • In this paper, a numerical procedure of probabilistic steady seepage analysis that considers the spatial variability of soil permeability is presented. The procedure extends the deterministic analysis based on the finite element method to a probabilistic approach that accounts for the uncertainties and spatial variation of the soil permeability. Two-dimensional random fields are generated based on a Karhunen-Lo$\grave{e}$ve expansion in a fashion consistent with a specified marginal distribution function and an autocorrelation function. A Monte Carlo simulation is then used to determine the statistical response based on the random fields. A series of analyses were performed to verify the application potential of the proposed method and to study the effects of uncertainty due to the spatial heterogeneity on the seepage behavior of soil foundation beneath water retaining structure with a single sheet pile wall. The results showed that the probabilistic framework can be used to efficiently consider the various flow patterns caused by the spatial variability of the soil permeability in seepage assessment for a soil foundation beneath water retaining structures.

Safety Analysis of Storm Sewer Using Probability of Failure and Multiple Failure Mode (파괴확률과 다중파괴유형을 이용한 우수관의 안전성 분석)

  • Kwon, Hyuk-Jae;Lee, Cheol-Eung
    • Journal of Korea Water Resources Association
    • /
    • v.43 no.11
    • /
    • pp.967-976
    • /
    • 2010
  • AFDA (Approximate Full Distribution Approach) model of FORM (First-Order Reliability Model) which can quantitatively calculate the probability that storm sewer reach to performance limit state was developed in this study. It was defined as a failure if amount of inflow exceed the capacity of storm sewer. Manning's equation and rational equation were used to determine the capacity and inflow of reliability function. Furthermore, statistical characteristics and distribution for the random variables were analyzed as a reliability analysis. It was found that the statistical distribution for annual maximum rainfall intensity of 10 cities in Korea is matched well with Gumbel distribution. Reliability model developed in this study was applied to Y shaped storm sewer system to calculate the probability that storm sewer may exceed the performance limit state. Probability of failure according to diameter was calculated using Manning's equation. Especially, probability of failure of storm sewer in Mungyeong and Daejeon was calculated using rainfall intensity of 50-year return period. It was found that probability of failure can be significantly increased if diameter is decreased below the original diameter. Therefore, cleaning the debris in sewer pipes to maintain the original pipe diameter should be one of the best ways to reduce the probability of failure of storm sewer. In sewer system, two sewer pipes can flow into one sewer pipe. For this case, probability of system failure was calculated using multiple failure mode. Reliability model developed in this study can be applied to design, maintenance, management, and control of storm sewer system.

Stochastic Seepage Analysis of Dam (확률론적 댐 침투거동 해석)

  • Cho Sung-Eun
    • Journal of the Korean Geotechnical Society
    • /
    • v.22 no.4
    • /
    • pp.73-83
    • /
    • 2006
  • Seepage analysis through unsaturated zone based on the theory of unsaturated flow is commonly performed to evaluate dam safety. However, the concepts of unsaturated soil behavior have not been transferred into the hands of practicing geotechnical engineers since the problems involving unsaturated soils often have the appearances of being extremely complex. There is variability and uncertainty associated with the unsaturated hydraulic properties that in turn will lead to variability in predicting unsaturated soil behavior such as seepage rate and the pore water pressure distribution. In this paper, measurements of the soil-water characteristic curve and saturated hydraulic conductivity for the core material of dam were conducted. Then, finite element stochastic analysis was used to capture the effect of unsaturated hydraulic properties on the seepage behavior of dam. It is observed that the amount of seepage increases, as the values of unsaturated soil parameters a and n increase. The values of m and p showed opposite trend.

Uncertainty Analysis of Wave Forces on Upright Sections of Composite Breakwaters (혼성제 직립벽에 작용하는 파력의 불확실성 해석)

  • Lee, Cheol-Eung
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.23 no.3
    • /
    • pp.258-264
    • /
    • 2011
  • A MCS technique is represented to stochastically analyze the uncertainties of wave forces exerted on the upright sections of composite breakwaters. A stochastical models for horizontal and uplift wave forces can be straightforwardly formulated as a function of the probabilistic characteristics of maximum wave height. Under the assumption of wave forces followed by extreme distribution, the behaviors of relative wave forces to Goda's wave forces are studied by the MCS technique. Double-truncated normal distribution is applied to take the effects of uncertainties of scale and shape parameters of extreme distribution into account properly. Averages and variances of relative wave forces are quantitatively calculated with respect to the exceedance probabilities of maximum design wave height. It is found that the averages of relative wave forces may be decreased consistently with the increases of the exceedance probabilities. In particular, the averages on uplift wave force are evaluated slightly larger than those on horizontal wave force, but the variations of coefficient of the former are adversely smaller than those of the latter. It means that the uncertainties of uplift wave forces are smaller than those of horizontal wave forces in the same condition of the exceedance probabilities. Therefore, the present results could be useful to the reliability based-design method that require the statistical properties about the uncertainties of wave forces.

Influence of Joint Distribution of Wave Heights and Periods on Reliability Analysis of Wave Run-up (처오름의 신뢰성 해석에 대한 파고_주기결합분포의 영향)

  • Lee Cheol-Eung
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.17 no.3
    • /
    • pp.178-187
    • /
    • 2005
  • A reliability analysis model f3r studying the influence of joint distribution of wave heights and periods on wave un-up is presented in this paper. From the definition of failure mode related to wave run-up, a reliability function may be formulated which can be considered uncertainties of water level. In particular, the reliability analysis model can be directly taken into account statistical properties and distributions of wave periods by considering wave period in the reliability function to be a random variable. Also, variations of wave height distribution conditioned to mean wave periods can be taken into account correctly. By comparison of results of additional reliability analysis using extreme distributions with those resulted from joint distribution of wave height and periods, it is found that probabilities of failure evaluated by the latter is larger than those by the former. Although the freeboard of sloped-breakwater structures can be determined by extreme distribution based on the long-term measurements, it may be necessary to investigate additionally into wave run-up by using the present reliability analysis model formulated to consider joint distribution of a single storm event. In addition, it may be found that the effect of spectral bandwidth parameter on reliability index may be little, but the effect of wave height distribution conditioned to mean wave periods is straightforward. Therefore, it may be confirmed that effects of wave periods on the probability of failure of wave run-up may be taken into account through the conditional distribution of wave heights. Finally, the probabilities of failure with respect to freeboard of sloped-breakwater structures can be estimated by which the rational determination of crest level of sloped-breakwater structures may be possible.

A Study on Assessment of Fatigue Durability for Composite Torque Link of Landing Gear (착륙장치 복합재 토크링크 피로내구성 평가에 대한 연구)

  • Kwon, Jung-Ho;Kang, Dae-Hwan
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.38 no.6
    • /
    • pp.537-546
    • /
    • 2010
  • This research work contributed to a study for the procedure and methodology to assess the fatigue durability for a composite torque link of helicopter landing gear, which was newly developed and fabricated by the resin transfer moulding technique to interchange with metal component. The simulated load spectrum anticipated to be applied to the torque link during its operation life was generated using an advanced method of probabilistic random process, and the fatigue durability was evaluated by the strength degradation approach on the basis of material test data. The full scale fatigue test was also performed and compared with the analysis results.

Modal Identification and Nonlinearity Assessment of Electric Cabinet for Improvement of Basic Fragility Variables (취약도변수의 개선을 위한 전기 캐빈비넷의 동특성 및 비선형성 평가)

  • 조양희;조성국;박형기
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.4 no.4
    • /
    • pp.83-91
    • /
    • 2000
  • 합리적인 기기의 활률론적 지진위험도 평가를 위해서는 모델의 동특성에 대한 보다 현실적인 정보가 제공되어야 한다. 이 연구에서는 심한 비선형 동적 거동을 보일 것으로 예상되는 철제 전기 캐비넷의 동특성 시험결과 및 분석 절차를 제시하였다. 특히, 이 연구에서는 가진 강도의 크기에 따른 동특성의 비선형 집중분석하고, 그 비선형성의 원인을 고찰하였다. 시험 결과 및 이 논문에 제시된 분석 절차를 이용하여 시험체의 동특성이 효과적으로 도출될 수 있으며, 대상 시험체는 가진 강도에 따라 심한 비선형 거동을 함을 입증하였다. 비선형성의 원인은 일반적인 재료 비선형이라기 보다는 각 부품들의 마찰력과 기하학적인 비선형성에 기인함을 발견하였다. 또한, 캐비넷 형식의 기긱에 대한 합리적인 내진안전성 평가를 위해서는 각 방향별로 서로 다른 감쇠값을 적용할 것을 추천하였다. 또한, 캐비넷 형식의 기기에 대한 합리적인 내진안전성 평가를 위해서는 각 방향별로 서로 다른 감쇠값을 적용할 것을 추천하였다.

  • PDF

Evaluation of Service Life in RC Column under Chloride Attack through Field Investigation: Deterministic and Probabilistic Approaches (염해 실태조사를 통한 철근 콘크리트 교각의 내구수명 평가 - 결정론적 및 확률론적 해석방법)

  • Kwon, Seung-Jun
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.19 no.5
    • /
    • pp.67-74
    • /
    • 2015
  • RC (Reinforced Concrete) structures are considered as cost-benefit and durable however performances of structural safety and durability are degraded due to steel corrosion. Service life in RC structure is differently evaluated due to different local environmental conditions even if it is exposed to the same chloride attack. In the paper, 25 concrete cores from field investigation are obtained from 4 RC columns with duration of 3.5~4.5 years exposed to sea water. Through total chloride content measurement, surface chloride contents and apparent diffusion coefficients are evaluated. Service life of the target structure is estimated through deterministic method based on Fick's $2^{nd}$ Law and probabilistic method based on durability failure probability, respectively. Probability method is evaluated to be more conservative and relatively decreased service life is evaluated in tidal zone and splash zone over 40.0 m. Chloride penetration behavior with coring location from sea level and the present limitations of durability design method are investigated in the paper.

Seismic Performance based Fragility Analysis of Bridge Structure in terms of Soil Conditions (지반조건을 고려한 교량의 내진성능기반 취약도 해석)

  • Lee, Dae-Hyoung;Hong, Hyung-Gi;Chung, Young-Soo
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2008.04a
    • /
    • pp.73-76
    • /
    • 2008
  • The damage of earthquakes have to achieve by probabilistic evaluation because of uncertainty of earthquake. Fragility analysis is a useful tool for predicting the probability of damage induced by the probable earthquake. This paper presents the probability of damage as a function of peak ground acceleration and estimates the probability of five damage levels for the pier of prestressed concrete (PSC) bridge subjected to given ground acceleration. At each 100 artificial earthquake motions were generated in terms of soil conditions, and nonlinear time domain analyses were performed for the damage states of the pier of PSC bridge structures. These damage states are described by displacement ductility result from seismic performance based on existing research results. Using the damage states and ground motion parameters, five fragility curves for the pier of PSC bridges with five types of dominant frequencies were constructed assuming a log-nomal distribution. It was found that there was a significant effect on the fragility curves due to the dominant frequencies.

  • PDF