• Title/Summary/Keyword: Gaussian Distribution

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A Study on Estimation of the Probability Distribution of Fatigue Crack Growth Life for Steels (강의 피로균열전파수명의 확률분포 추정에 관한 연구)

  • 김선진;윤성환;전창환;정규연;안석환
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2000.04a
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    • pp.40-45
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    • 2000
  • Presented are the estimation of the probability distribution of fatigue crack growth life and reliability assessment of structures by simulating material resistance to fatigue crack growth along a crack path. The material resistance is treated as a Weibull stochastic process. A non-Gaussian stochastic fields simulation method proposed by Shimozuka, et al is applied with the statistical data obtained experimentally. Test results are obtained for $\Delta$K constant amplitude load in tension with stress ratio of R=0.2 and three specimen thicknesses of 6, 12 and 18mm. This simulation method is useful to estimate the probability distribution of fatigue crack growth life and the smallest life.

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A Study on Prediction of Temperature Distribution in Pipe Girth Welding by Mapping Theory (사상 이론을 이용한 파이프 원주 용접의 온도 분포 예측에 관한 연구)

  • Jo, Yeong-Tae;Na, Seok-Ju
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.12
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    • pp.2935-2944
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    • 2000
  • Gas tungsten arc(GTA) welding is used to rrpiar the seat ring in swing type check valve in power plant because of its high weld quality. In order to automate the welding process, it is needed to analyze the process of inside pipe girth welding. In this study, the shapes of weld bead on pipe inside and outside were predicted and its validity was investigated. On the assumption that the welding arc had a bivariate gaussian distribution, analytical solution was derived to predict the temperature distribution in pipe weld using mapping under consideration of physical relationships. The size of weld bean could be predicted from this equation and its accuracy was verified by experiments.

Stochastic Analysis of the Diamond Particle Distribution on the Surface of Circular Diamond Saw Blade (원형 다이아몬드 톱의 세그먼트 표면에서의 다이아몬드 입자 분포의 확률적인 해석)

  • 이현우;변서봉;정기정;김용석
    • Journal of Powder Materials
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    • v.10 no.3
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    • pp.201-208
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    • 2003
  • Distributions of diamond particles protruding on the surface of worn diamond segments in circular saw has been investigated. Scanning electron microscope was used to examine the worn ,surface and radial saw blade wear and grinding ratio was measured. The number of protruded diamond particle was approximately 50% of the total number of particles, and that was independent of diamond particle concentration and table speed. It was also noted that the inter-particle distance did not follow a symmetric function like Gaussian distribution function, instead it fitted well with a probability density function based on gamma function. The distribution of inter-particle spacing, therefore, was analyzed using a gamma function model.

A Study on Estimation of the Probability Distribution of Fatigue Crack Growth Life for Steels (강의 피로균열전파수명의 확률분포 추정에 관한 연구)

  • 김선진;윤성환;전창환;김일석
    • Journal of Ocean Engineering and Technology
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    • v.14 no.4
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    • pp.73-78
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    • 2000
  • Presented are the estimation of the probability distribution of fatigue crack growth life and reliability assessment of structures by simulating material resistance to fatigue crack growth along a crack path. The material resistance is treated as a Weibull stochastic process. A non-Gaussian stochastic fields simulation method proposed by shimozuka, et al is applied with the statistical data obtained experimentally. Test results are obtained for $\delta K$ constant amplitude load in tension with stress ratio of R=0.2 and three specimen thicknesses of 6,12 and 18mm. This simulation method is useful to estimate the probability distribution of fatigue crack growth life and the smallest life.

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Probabilistic Simulation for Extraction of Reliability Design Data (설계자료 추출을 위한 확률 시뮬레이션)

  • 김선진
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.29 no.2
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    • pp.152-161
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    • 1993
  • This paper deals with the effect of spatial distribution of material properties on its statistical characteristics and numerical estimation method of reliability of fatigue sensitive structures with respect to the fatigue crack growth. A method is proposed to determine experimentally the probability distribution functions of material parameters of Paris law. da/dN=C(ΔK/K sub(0) ) super(m), using stress intensity factor controlled fatigue tests. The result with a high tensile strength steel shows that the distribution of the parameter m is approximately normal and that of 1/C, is a 3-parameter Weibull. The main result obtained are : (1) The theoretical autocorrelation of the resistance, 1/C, to fatigue crack growth are almost same for different lengths. (2) The variance decreases with the increasing a averaging length. When spatial correlation length is very small. the variane decreases significantly were the averaging length. (3) The probability distribution of load cycles or the number for a crack to reach a certain length can be estimated using these functions by simulation of non-Gaussian(expecially Weibull) Stochastic Process.

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Estimation of Probability Distribution Functions for Water Temperature Data in Korean Coasts (한반도 연안 수온자료의 확률분포함수 추정)

  • Jeong, Shin Taek;Cho, Hongyeon;Ko, Dong Hui;Oh, Nam Sun;Son, Kyeong-Pyo
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.25 no.1
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    • pp.11-19
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    • 2013
  • As the temperature data show a distribution pattern with a number of peaks, assumption of normal distribution will result in a serious bias in the analysis. In this study, the Gaussian Mixture Distribution (GMD), a type of bimodal distribution, is presumed as a frequency distribution for the water temperature, in order to estimate the optimal parameter and to carry out the relation analysis between the optimal parameter and the basic statistical information such as mean and variance on the data. By the way, an estimation formulae to compute the frequency distribution of the data is developed by computing the parameters of GMD (i.e. ${\alpha}_1$, ${\mu}_1$, ${\sigma}_1$, ${\alpha}_2$, ${\mu}_2$, ${\sigma}_2$) by means of the major characteristic values, such as mean, standard deviation and skewness of the data. The formulae shows an excellent coincidence with the result from the observation data, in the RMS limit accuracy of 5%.

A Linear System Approach to Serving Gaussian Traffic in Packet-Switching Networks (패킷 교환망에서 가우스 분포 트래픽을 서비스하는 선형 시스템 접근법)

  • Chong, Song;Shin, Min-Su;Chong, Hyun-Hee
    • Journal of KIISE:Information Networking
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    • v.29 no.5
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    • pp.553-561
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    • 2002
  • We present a novel service discipline, called linear service discipline, to serve multiple QoS queues sharing a resource and analyze its properties. The linear server makes the output traffic and the queueing dynamics of individual queues as a linear function of its input traffic. In particular, if input traffic is Gaussian, the distributions of queue length and output traffic are also Gaussian with their mean and variance being a function of input mean and input power spectrum (equivalently, autocorrelation function of input). Important QoS measures including buffer overflow probability and queueing delay distribution are also expressed as a function of input mean and input power spectrum. This study explores a new direction for network-wide traffic management based on linear system theories by letting us view the queueing process at each node as a linear filter.

Nonlinear System State Estimating Using Unscented Particle Filters (언센티드 파티클 필터를 이용한 비선형 시스템 상태 추정)

  • Kwon, Oh-Shin
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.6
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    • pp.1273-1280
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    • 2013
  • The UKF algorithm for tracking moving objects has fast convergence speed and good tracking performance without the derivative computation. However, this algorithm has serious drawbacks which limit its use in conditions such as Gaussian noise distribution. Meanwhile, the particle filter(PF) is a state estimation method applied to nonlinear and non-Gaussian systems without these limitations. But this method also has some disadvantages such as computation increase as the number of particles rises. In this paper, we propose the Unscented Particle Filter (UPF) algorithm which combines Unscented Kalman Filter (UKF) and Particle Filter (PF) in order to overcome these drawbacks.The performance of the UPF algorithm was tested to compare with Particle Filter using a 2-DOF (Degree of Freedom) Pendulum System. The results show that the proposed algorithm is more suitable to the nonlinear and non-Gaussian state estimation compared with PF.

Joint Channel estimation in Asynchronous Amplify-And-Forward Relay Networks based on OFDM signaling (OFDM 신호를 이용한 비동기식 증폭 후 전달 중계망에서의 결합 채널 추정)

  • Yan, Yier;Jo, Gye-Mun;Balakannan, S.P.;Lee, Moon-Ho
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.46 no.1
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    • pp.55-62
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    • 2009
  • In this paper, we propose a method on the training sequence based on channel estimation issues for relay networks that employ amplify-and-forward(AF) transmission scheme. In $^{[1]}$ and $^{[2]}$, we have to point out that jointly estimating the channel from source to relay and from relay to destination suffers from many drawbacks in fast fading case because the estimation of previous pilots is not suitable for current channel. In this paper, we consider a new joint estimation of overall channel impulse response(CIR) using one OFDM signal without pilots. Using the maximum likelihood(ML) function, we derive a channel estimator by taking the frequency domain of transmitted signal as Gaussian and averaging the ML function over the resulting Gaussian distribution. Simulation results show that our proposed channel estimator performs a fraction of 1dB compared with $^{[1]}$ in high SNR region.

Speaker Identification Using Higher-Order Statistics In Noisy Environment (고차 통계를 이용한 잡음 환경에서의 화자식별)

  • Shin, Tae-Young;Kim, Gi-Sung;Kwon, Young-Uk;Kim, Hyung-Soon
    • The Journal of the Acoustical Society of Korea
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    • v.16 no.6
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    • pp.25-35
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    • 1997
  • Most of speech analysis methods developed up to date are based on second order statistics, and one of the biggest drawback of these methods is that they show dramatical performance degradation in noisy environments. On the contrary, the methods using higher order statistics(HOS), which has the property of suppressing Gaussian noise, enable robust feature extraction in noisy environments. In this paper we propose a text-independent speaker identification system using higher order statistics and compare its performance with that using the conventional second-order-statistics-based method in both white and colored noise environments. The proposed speaker identification system is based on the vector quantization approach, and employs HOS-based voiced/unvoiced detector in order to extract feature parameters for voiced speech only, which has non-Gaussian distribution and is known to contain most of speaker-specific characteristics. Experimental results using 50 speaker's database show that higher-order-statistics-based method gives a better identificaiton performance than the conventional second-order-statistics-based method in noisy environments.

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