• 제목/요약/키워드: gaussian distribution

검색결과 919건 처리시간 0.027초

Development of a novel fatigue damage model for Gaussian wide band stress responses using numerical approximation methods

  • Jun, Seock-Hee;Park, Jun-Bum
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.755-767
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    • 2020
  • A significant development has been made on a new fatigue damage model applicable to Gaussian wide band stress response spectra using numerical approximation methods such as data processing, time simulation, and regression analysis. So far, most of the alternative approximate models provide slightly underestimated or overestimated damage results compared with the rain-flow counting distribution. A more reliable approximate model that can minimize the damage differences between exact and approximate solutions is required for the practical design of ships and offshore structures. The present paper provides a detailed description of the development process of a new fatigue damage model. Based on the principle of the Gaussian wide band model, this study aims to develop the best approximate fatigue damage model. To obtain highly accurate damage distributions, this study deals with some prominent research findings, i.e., the moment of rain-flow range distribution MRR(n), the special bandwidth parameter μk, the empirical closed form model consisting of four probability density functions, and the correction factor QC. Sequential prerequisite data processes, such as creation of various stress spectra, extraction of stress time history, and the rain-flow counting stress process, are conducted so that these research findings provide much better results. Through comparison studies, the proposed model shows more reliable and accurate damage distributions, very close to those of the rain-flow counting solution. Several significant achievements and findings obtained from this study are suggested. Further work is needed to apply the new developed model to crack growth prediction under a random stress process in view of the engineering critical assessment of offshore structures. The present developed formulation and procedure also need to be extended to non-Gaussian wide band processes.

AWGN 환경에서 가우시안 분포 기반의 퍼지 가중치를 사용한 스위칭 필터 알고리즘 (Switching Filter Algorithm using Fuzzy Weights based on Gaussian Distribution in AWGN Environment)

  • 천봉원;김남호
    • 한국정보통신학회논문지
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    • 제26권2호
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    • pp.207-213
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    • 2022
  • 최근 IoT 기술과 AI의 성능향상에 따라 폭넓은 분야에서 자동화와 무인화가 진행되고 있으며, 사물인식과 객체분류 등 자동화의 기반이 되는 영상처리에 대한 관심이 높아지고 있다. 영상의 잡음 제거는 영상에 기반한 시스템에서 전처리 단계로 사용하는 중요한 과정으로 다양한 연구가 진행되었으나, 대부분의 경우 에지와 같은 고주파 성분에서 스무딩 효과에 의해 디테일한 정보를 보존하기 어렵다는 단점이 있다. 본 논문은 AWGN(additive white Gaussian noise)에 훼손된 영상을 가우시안 분포에 기반한 퍼지 가중치를 사용하여 복원하는 알고리즘을 제안한다. 제안한 알고리즘은 필터링 마스크와 잡음 추정치를 서로 비교하여 필터링 과정을 스위칭하였으며, 영상의 저주파 및 고주파 성분에 따라 퍼지 가중치를 계산하여 영상을 복원하였다.

Bayesian Testing for the Equality of Two Inverse Gaussian Populations with the Fractional Bayes Factor

  • Ko, Jeong-Hwan
    • Journal of the Korean Data and Information Science Society
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    • 제16권3호
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    • pp.539-547
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    • 2005
  • We propose the Bayesian testing for the equality of two independent Inverse Gaussian population means using the fractional Bayesian factors suggested by O' Hagan(1995). As prior distribution for the parameters, we assumed the noninformative priors. In order to investigate the usefulness of the proposed Bayesian testing procedures, the behaviors of the proposed results are examined via real data analysis.

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Maximum Likelihood Estimator in Two Inverse Gaussian Populatoins with Unknown Common Coefficient of Variation

  • Park, Byungjin;Kim, Keeyoung
    • Journal of the Korean Statistical Society
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    • 제30권1호
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    • pp.99-113
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    • 2001
  • This paper deals with the problem of estimating the means in two inverse Gaussian populations with equal but unknown coefficient of variation. The maximum likelihood estimators are derived by solving a cubic equation and their asymptotic variances are presented for comparative purpose. Monte-Carlo simulation is conducted to investigate the efficiency of the estimators relative to the sample means over a wide range of values for the sample size and the coefficient of variation. The effect on this efficiency under the departure from the assumption of common coefficient of variation is also studied.

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Kurtosis 변화에 따른 Pressure Flow Factor에 관한 연구 (Effects of Kurtosis on the Pressure Flow Factor)

  • 강민호;김태완;구영필;조용주
    • Tribology and Lubricants
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    • 제16권6호
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    • pp.448-454
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    • 2000
  • The roughness effects are very important due to the presence of interacting asperities in partial lubrication regime. An average Reynolds equation using flow factors is very useful to determine the effects of surface roughness on mixed lubrication. In this paper, the pressure flow factors for surfaces having Gaussian and non-Gaussian distribution of roughness height are evaluated in terms of various kurtosis. The effect of kurtosis on pressure flow factors is investigated using random rough surface generated numerically. The pressure flow factor increases with increasing kurtosis in mixed lubrication regime (h/$\sigma$<3). As h/$\sigma$ increases, the pressure flow factors approach to 1 asymptotically regardless of kurtosis.

레이저 키홀 용접의 열원 모델링: Part 1-비드 용접 (Heat Source Modeling of Laser Keyhole Welding: Part 1-Bead Welding)

  • 이재영;이원범;유중돈
    • Journal of Welding and Joining
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    • 제23권1호
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    • pp.48-54
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    • 2005
  • Laser keyhole welding is investigated using a three-dimensional Gaussian heat source, and the heat source parameters such as the keyhole depth, welding efficiency and power density distribution factor are determined in a systematic way. For partial penetration, the keyhole depth is same as the penetration and is predicted using the experimental data. The welding efficiency is calculated using the ray-tracing method and the power density distribution factor is determined from the bead shape. Full penetration is classified into the transition, normal and excessive modes depending on the degree of keyhole opening. Thermal analysis of the bead-on-plate welds is conducted using the Gaussian heat source, and the calculated weld geometries show reasonably good agreements with the experimental results.

On the Effect of Presumed PDF and Intermittency on the Numerical Simulation of a Diffusion Flame

  • Riechelmann, Dirk;Fujimori, Toshiro
    • 한국연소학회지
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    • 제6권2호
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    • pp.23-28
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    • 2001
  • In the present work, the effect of PDF selection and intermittency on the result of the numerical simulation are examined by the simulation of a turbulent methane-air jet diffusion flame. As to the PDFs, beta-function and clipped Gaussian are considered. Results for the pure mixing jet are compared with experimental results. Then, the turbulent flame is calculated for the same conditions and the results obtained for the several models are compared. It is found that the clipped Gaussian distribution coupled with consideration of intermittency recovers the experimental data very well. As to the reacting flow results, the main overall properties of the turbulent jet diffusion flame such as maximum flame temperature are less affected by the choice of the PDF. Flame height and NO emissions, on the contrary, appear to be significantly influenced.

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GMA 용접공정에서 적외선 온도 센서를 이용한 용융지 크기 예측 (Weld pool size estimation of GMAW using IR temperature sensor)

  • 김병만;김영선;조형석
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.1404-1407
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    • 1996
  • A quality monitoring system in butt welding process is proposed to estimate weld pool sizes. The geometrical parameters of the weld pool such as the top bead width and the penetration depth plus half back width are utilized to prove the integrity of the weld quality. The monitoring variables used are the surface temperatures measured at three points on the top surface of the weldment. The temperature profile is assumed that it has a gaussian distribution in vertical direction of torch movement and verify this assumption through temperature analysis. A neural network estimator is designed to estimate weld pool size from temperature informations. The experimental results show that the proposed neural network estimator which used gaussian distribution as temperature information can estimate the weld pool sizes accurately than used three point temperatures as temperature information. Considering the change of gap size in butt welding, the experiment were performed on various gap size.

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A GAUSSIAN WHITE NOISE GENERATOR AND ITS APPLICATION TO THE FLUCTUATION-DISSIPATION FORMULA

  • Moon, Byung-Soo
    • Journal of applied mathematics & informatics
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    • 제15권1_2호
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    • pp.363-375
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    • 2004
  • In this paper, We show that the bandpass random signals of the form ∑$_{\alpha}$$\alpha$$_{\alpha}$ a Sin(2$\pi$f$_{\alpha}$t + b$_{\alpha}$) where a$_{\alpha}$ being a random number in [0,1], f$_{\alpha}$ a random integer in a given frequency band, and b$_{\alpha}$ a random number in [0, 2$\pi$], generate Gaussian white noise signals and hence they are adequate for simulating Continuous Markov processes. We apply the result to the fluctuation-dissipation formula for the Johnson noise and show that the probability distribution for the long term average of the power of the Johnson noise is a X$^2$ distribution and that the relative error of the long term average is (equation omitted) where N is the number of blocks used in the average.error of the long term average is (equation omitted) where N is the number of blocks used in the average.

로버스트추정에 의한 지구물리자료의 역산 (Inversion of Geophysical Data with Robust Estimation)

  • 김희준
    • 자원환경지질
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    • 제28권4호
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    • pp.433-438
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    • 1995
  • The most popular minimization method is based on the least-squares criterion, which uses the $L_2$ norm to quantify the misfit between observed and synthetic data. The solution of the least-squares problem is the maximum likelihood point of a probability density containing data with Gaussian uncertainties. The distribution of errors in the geophysical data is, however, seldom Gaussian. Using the $L_2$ norm, large and sparsely distributed errors adversely affect the solution, and the estimated model parameters may even be completely unphysical. On the other hand, the least-absolute-deviation optimization, which is based on the $L_1$ norm, has much more robust statistical properties in the presence of noise. The solution of the $L_1$ problem is the maximum likelihood point of a probability density containing data with longer-tailed errors than the Gaussian distribution. Thus, the $L_1$ norm gives more reliable estimates when a small number of large errors contaminate the data. The effect of outliers is further reduced by M-fitting method with Cauchy error criterion, which can be performed by iteratively reweighted least-squares method.

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