• Title/Summary/Keyword: Propagation of Distribution

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Estimation of Probability Distribution Fit for Fatigue Crack Propagation Life of AZ31 Magnesium Alloy (AZ31 마그네슘합금의 피로균열진전수명에 적합한 확률분포 평가)

  • Choi, Seon-Soon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.8
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    • pp.707-719
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    • 2009
  • The variables relating to the fatigue behavior have uncertainty and are random. The fatigue crack propagation is, thus, stochastic in nature. In this study, fatigue experiments are performed on the specimen of the magnesium alloy AZ31. The data of the fatigue life are scattered even in the same experimental condition. It is necessary to determine the probability distribution of the fatigue crack propagation life for the reliability analysis as well as the design and maintenance of structural components. Therefore the statistics and the probability distribution for the fatigue crack propagation life are investigated and the best fit probability distribution of that is proposed in this paper.

A Study On the Rrobabilistic Nature of Fatigue Crack Propagation Life(I) -The Effect of Distribution of Initial Crack Size- (피로크랙 진전수명의 확률특성에 관한 연구 I -초기크랙길이 분포의 영향-)

  • 윤한용
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.1
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    • pp.138-144
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    • 1990
  • In order to understand the probabilistic nature of fatigue crack propagation, not only the calculation of failure probability and parameter sensitivity, but also the clarification of probabilistic nature of various parameters should be executed. Therefore a method to evalute synthetically the effect of each parameter on the distribution of fatigue crack propagation life is required. In this study, the effects of the initial crack size and other paramaters on the distribution of fatigue crack propagation life are discussed according to the appropriate normalization of the life distribution, the validity of this method is also shown. Such an investigation as the present work may be useful to understand the nature of the life distribution and to utilize the probailistic fracture mechanics.

Propagation Mode Analysis of Leaky Coaxial Cable with Periodic Symmetrical Slots (주기적인 대칭 슬롯을 가진 누설동축 케이블의 전파모드 해석)

  • 홍용인;맹명재;김정기
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.31A no.9
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    • pp.53-63
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    • 1994
  • In indoor radio systems, vehicular communication systems, and land mobile systems, a very important problem is that of maintaining stable communications at all locations. Therefore solutions for the indoor propagation problem are important aspects of the mobile communication system. leaky coxial cables are finding increasing use in communications systesm involving mines, tunnels, tailroads, and highways, and in new obstacle detection, or guided radar, schemes for ground transportation and perimenter surveilance. In this paper a leaky coaxial cable having periodic slots in the outer conductor is described to obtain the propagation modes in the various environments. We use aneccentric cylindrical model to develop the theory for surface-wave propagation on the cable. Numerical Results are also included for the propagation constants, field distribution and current distribution. First, we derive the electromagnetic equation for leaky coaxial cable having symmetrical periodic slots using mode-matching method and Floquet's theorem, and then find various modes, propagation constants, field distribution, etc.

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A Study on the Probabilistic Nature of Fatigue Crack Propagation Life(II) -The Distribution of Crack Propagation Rate- (피로크랙 진전수명의 확률특성에 관한 연구 II)

  • 윤한용
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.6
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    • pp.1561-1567
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    • 1990
  • Recently, some reports of experimental research on the distribution of fatigue crack propagation rate have been published, and the reliability evaluation using the results of research for the mechanical structure has been executed. Since the thicknesses of specimens used in the published reports are limited to the thin ones, the applicability of the results into the mechanical structure with another thickness seems to be doubtful. That is, not only the quantitative evaluation, but also qualitative evaluation of the effect of specimen thickness has not been executed. In this study, an experimental investigation has been done by using the new type automated multi-stage fatigue testing machine which was developed by the author. The influence of specimen thickness for the distribution of fatigue crack propagation rate with the results is discussed.

Effect of Specimen Thickness on Probability Distribution of Fatigue Crack Propagation Behavior in Magnesium Alloy AZ31 (AZ31 마그네슘합금 시편의 두께가 피로균열진전거동의 확률분포에 미치는 영향)

  • Choi, Seon-Soon
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.18 no.4
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    • pp.395-400
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    • 2009
  • As the variables affecting the fatigue behavior have uncertainty, the fatigue crack propagation is stochastic in nature. Therefore, the fatigue life prediction is critical for the design and the maintenance of many structural components. In this study, fatigue experiments are conducted on the specimens of magnesium alloy under the different thicknesses of specimen. The effects of specimen thickness on the probability distribution of the fatigue crack propagation life and the crack size are estimated experimentally. The probability distribution of the crack size and the fatigue life for different specimen thicknesses are investigated by Anderson-Darling test and the best fit for those probability distributions are also presented.

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A Study on the Statistical Characterisics of Fatigue Crack Propagation Rate in Turbine Rotor Steel(I) (터빈 로터강의 피로크랙전파속도의 확률특성 연구( I ))

  • 오세욱;이치우;정순호
    • Journal of Ocean Engineering and Technology
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    • v.1 no.2
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    • pp.83-92
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    • 1987
  • Inorder ot estimate the running life of turbine rotors, fatigue crack propagation low, da/dN = C(${\DELTA}K)^m$, proposed by paris et al. has been widely applied. In this study, fatigue crack propagation rates for 16 samples of 1% Cr-Mo-V rotor steel were measured and statistical characteristics of m and C values in above equation were reviewed. The results are summarized as follows. 1. C and m follow a log-normal distribution and normal distribution, respectively. And the relation of C and shows a strong negative correlation. 2. Fatigue crack propagation equation can be expressed as da/dN=$4.11{\times}10^{-4}({\Delta}K/153.8)^m$, introducing the ralationship C=$C_oK_o^{-m}$. In this case, contribution of $C_o$ distribution to the distribution of log C shows very small compared to degrees of contribution by m.

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Analysis of Frequency Response Characteristic Considering Semiconducting Screen in Underground Distribution Cables (지중배전케이블에서 반도전층을 고려한 주파수 응답 및 전파특성 분석)

  • Jung, Chae-Kyun;Lee, Jong-Beom;Kim, Jeong-Tae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.8
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    • pp.1091-1098
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    • 2012
  • This paper describes frequency response and propagation characteristics considering semiconducting screen in distribution cables. In CIGRE WG 21-05, Simplified Approach(SA) and Rigorous Approach(RA) which can revise the permittivity considering semiconducting screen propose for more detailed EMTP model and frequency dependant analysis. In this paper, the frequency dependent characteristics of complex permittivity are variously analysed by cole-cole function of RA. The attenuation, propagation velocity and surge impedance according to frequency range(1 kHz to 500 MHz) and cable length are also analysed by SA and EMTP simulation in distribution cables. The propagation velocity considering semiconducting screen is slower, and it is saturated over the range of 1 MHz. The signal is significantly attenuated as frequency range is high.

An Evaluation of Residual Stress Redistribution in the Welding Residual Stress Field Caused by Fatigue Crack Propagation by Finite Element Method (용접잔류응력장에서 피로균열의 전파에 따른 잔류응력 재분포에 대한 해석적 평가)

  • Park, Eung-Joon;Kim, Eung-Joon
    • Journal of Welding and Joining
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    • v.26 no.6
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    • pp.92-96
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    • 2008
  • An investigation was performed to predict residual stress redistribution for the crack propagation initially through tensile residual stress field. The analytical method, which is based on Dugdale model by finite element analysis using elastic analysis method considering the superposition principle, was proposed to estimate the redistribution of residual stress caused by crack propagation. The various aspect of distribution of residual stress caused by crack propagation was examined based on the configuration change of specimen. The analysis results show that the aspect of redistribution of residual stress caused by crack propagation depends on the width of the specimen provided that the initial distribution of residual stress is identical.

Properties of Distribution of PD Pulses accompanying with Propagation of bush-type Tree (부시형 전기트리의 성장에 따른 부분방전 펄스의 분포 특성)

  • Kang, S.H.;Jung, S.H.;Lee, K.W.;Jang, D.U.;Ryu, B.H.;Lim, K.J.
    • Proceedings of the KIEE Conference
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    • 1998.07d
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    • pp.1478-1480
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    • 1998
  • Inception and propagation of electrical tree and properties of partial discharge(PD) pulses accompanying with tree in low density polyethylene were discussed. We observed the characteristics of process of electrical tree by using optical microscope and investigated the statistical characteristics of the PD pulses by analyzing PD quantities and distribution patterns. The PD pulses were analyzed by q-n, $\phi$-n and $\phi$-q distribution. The statistical operators used were skewness(s), kurtosis(k) and average phase angle. The skewness and average discharge phase angle of PD pulses increased as the Propagation of tree. The kurtosis was about 1.8 at the Inception of tree, but It increased as the propagation of tree.

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Wave propagation of graphene platelets reinforced metal foams circular plates

  • Lei-Lei Gan;Jia-Qin Xu;Gui-Lin She
    • Structural Engineering and Mechanics
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    • v.85 no.5
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    • pp.645-654
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    • 2023
  • Based on first-order shear deformation theory, a wave propagation model of graphene platelets reinforced metal foams (GPLRMFs) circular plates is built in this paper. The expressions of phase-/group- velocities and wave number are obtained by using Laplace integral transformation and Hankel integral transformation. The effects of GPLs pattern, foams distribution, GPLs weight fraction and foam coefficient on the phase and group velocity of GPLRMFs circular plates are discussed in detail. It can be inferred that GPLs distribution have great impacts on the wave propagation problems, and Porosity-I type distribution has the largest phase velocity and group velocity, followed by Porosity-III, and finally Porosity-II; With the increase of the GPLs weight fraction, the phase- and group- velocities for the GPLRMFs circular plate will be increased; With the increase of the foam coefficient, the phase- and group- velocities for the GPLRMFs circular plate will be decreased.