• 제목/요약/키워드: Stationary random fields

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Probabilistic bearing capacity of circular footing on spatially variable undrained clay

  • Kouseya Choudhuri;Debarghya Chakraborty
    • Geomechanics and Engineering
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    • 제38권1호
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    • pp.93-106
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    • 2024
  • The present paper investigates the spatial variability effect of soil property on the three-dimensional probabilistic characteristics of the bearing capacity factor (i.e., mean and coefficient of variation) of a circular footing resting on clayey soil where both mean and standard deviation of undrained shear strength increases with depth, keeping the coefficient of variation constant. The mean trend of undrained shear strength is defined by introducing the dimensionless strength gradient parameter. The finite difference method along with the random field and Monte Carlo simulation technique, is used to execute the numerical analyses. The lognormal distribution is chosen to generate random fields of the undrained shear strength. In the study, the potential failure of the structure is represented through the failure probability. The influences of different vertical scales of fluctuation, dimensionless strength gradient parameters, and coefficient of variation of undrained shear strength on the probabilistic characteristics of the bearing capacity factor and failure probability of the footing, along with the probability and cumulative density functions, are explored in this study. The variations of failure probability for different factors of safety corresponding to different parameters are also illustrated. The results are presented in non-dimensional form as they might be helpful to the practicing engineers dealing with this type of problem.

Characteristics of thunderstorms relevant to the wind loading of structures

  • Solari, Giovanni;Burlando, Massimiliano;De Gaetano, Patrizia;Repetto, Maria Pia
    • Wind and Structures
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    • 제20권6호
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    • pp.763-791
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    • 2015
  • "Wind and Ports" is a European project that has been carried out since 2009 to handle wind forecast in port areas through an integrated system made up of an extensive in-situ wind monitoring network, the numerical simulation of wind fields, the statistical analysis of wind climate, and algorithms for medium-term (1-3 days) and short term (0.5-2 hours) wind forecasting. The in-situ wind monitoring network, currently made up of 22 ultrasonic anemometers, provides a unique opportunity for detecting high resolution thunderstorm records and studying their dominant characteristics relevant to wind engineering with special concern for wind actions on structures. In such a framework, the wind velocity of thunderstorms is firstly decomposed into the sum of a slowly-varying mean part plus a residual fluctuation dealt with as a non-stationary random process. The fluctuation, in turn, is expressed as the product of its slowly-varying standard deviation by a reduced turbulence component dealt with as a rapidly-varying stationary Gaussian random process with zero mean and unit standard deviation. The extraction of the mean part of the wind velocity is carried out through a moving average filter, and the effect of the moving average period on the statistical properties of the decomposed signals is evaluated. Among other aspects, special attention is given to the thunderstorm duration, the turbulence intensity, the power spectral density and the integral length scale. Some noteworthy wind velocity ratios that play a crucial role in the thunderstorm loading and response of structures are also analyzed.

Nonparametric M-Estimation for Functional Spatial Data

  • Attouch, Mohammed Kadi;Chouaf, Benamar;Laksaci, Ali
    • Communications for Statistical Applications and Methods
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    • 제19권1호
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    • pp.193-211
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    • 2012
  • This paper deals with robust nonparametric regression analysis when the regressors are functional random fields. More precisely, we consider $Z_i=(X_i,Y_i)$, $i{\in}\mathbb{N}^N$ be a $\mathcal{F}{\times}\mathbb{R}$-valued measurable strictly stationary spatial process, where $\mathcal{F}$ is a semi-metric space and we study the spatial interaction of $X_i$ and $Y_i$ via the robust estimation for the regression function. We propose a family of robust nonparametric estimators for regression function based on the kernel method. The main result of this work is the establishment of the asymptotic normality of these estimators, under some general mixing and small ball probability conditions.

마르코프 랜덤필드를 이용한 무관리형 화상분할 알고리즘 (Unsuperised Image Segmentation Algorithm Using Markov Random Fields)

  • 박재현
    • 한국정보처리학회논문지
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    • 제7권8호
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    • pp.2555-2564
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    • 2000
  • 본 논문에서는 새로운 무관리형 화상분할 알고리즘이 제안된다. 제안된 알고리즘은 화상에 내재되어 있는 구조 정보를 모델링하기 위하여 마르코프 랜덤필드의 특성을 이용하고 있다. 텍스쳐 화상은 정상상태의 가우스 마르코프 랜덤필드가 2차원의 격자구조 위에 실현된 상태로 간주되었으며 2차의 비순차근방을 갖는 조건부 자기회귀함수를 이용하여 모델링 되었다. 화상의 경계면 감출을 위하여 마스크로 선택된 두 영역에 대한 가설검정이 수행된다. 이 방법은 선택된 두 영역이 같은 종류의 텍스쳐라고 가정을 한 후 조건부 자기회귀모델의 매개변수를 최소평균제곱오차 측면에서 추정한다. 가설이 거절되면 두 영역의 상이함을 측정한 그 값이 선택된 영역에 누적된다. 이와 겉은 방법을 통하여 잠재적인 경제지도가 얻어지며, 이것을 통하여 여러 종류의 텍스쳐 화상의 분할이 미세오류경계 없이 이루어지게 된다. 제안된 알고리즘의 성능은 인공화상 뿐만 아니라 실제의 자연화상을 이용한 실험을 통하여 입증되었으며 일체의 사전정보 없이도 만족할 만한 결과를 보여 주었다.

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Stability of suspension bridge catwalks under a wind load

  • Zheng, Shixiong;Liao, Haili;Li, Yongle
    • Wind and Structures
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    • 제10권4호
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    • pp.367-382
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    • 2007
  • A nonlinear numerical method was developed to assess the stability of suspension bridge catwalks under a wind load. A section model wind tunnel test was used to obtain a catwalk's aerostatic coefficients, from which the displacement-dependent wind loads were subsequently derived. The stability of a suspension bridge catwalk was analyzed on the basis of the geometric nonlinear behavior of the structure. In addition, a full model test was conducted on the catwalk, which spanned 960 m. A comparison of the displacement values between the test and the numerical simulation shows that a numerical method based on a section model test can be used to effectively and accurately evaluate the stability of a catwalk. A case study features the stability of the catwalk of the Runyang Yangtze suspension bridge, the main span of which is 1490 m. Wind can generally attack the structure from any direction. Whenever the wind comes at a yaw angle, there are six wind load components that act on the catwalk. If the yaw angle is equal to zero, the wind is normal to the catwalk (called normal wind) and the six load components are reduced to three components. Three aerostatic coefficients of the catwalk can be obtained through a section model test with traditional test equipment. However, six aerostatic coefficients of the catwalk must be acquired with the aid of special section model test equipment. A nonlinear numerical method was used study the stability of a catwalk under a yaw wind, while taking into account the six components of the displacement-dependent wind load and the geometric nonlinearity of the catwalk. The results show that when wind attacks with a slight yaw angle, the critical velocity that induces static instability of the catwalk may be lower than the critical velocity of normal wind. However, as the yaw angle of the wind becomes larger, the critical velocity increases. In the atmospheric boundary layer, the wind is turbulent and the velocity history is a random time history. The effects of turbulent wind on the stability of a catwalk are also assessed. The wind velocity fields are regarded as stationary Gaussian stochastic processes, which can be simulated by a spectral representation method. A nonlinear finite-element model set forepart and the Newmark integration method was used to calculate the wind-induced buffeting responses. The results confirm that the turbulent character of wind has little influence on the stability of the catwalk.