• Title/Summary/Keyword: Method of Moments

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Transient Response of The Optimal Taper-Flat Head Slider in Magnetic Storage Devices

  • Arayavongkul, R.;Mongkolwongrojn, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.990-994
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    • 2004
  • This paper presents a method to predict the transient characteristic of the air lubricated slider head in a hard disk drive by using optimization technique. The time dependent modified Reynolds equation based on the molecular slip flow approximation equations was used to describe the fluid flow within the air bearing and the implicit finite difference scheme is applied to calculate the pressure distribution under the slider head. The exhaustive search combined with the Broyden-Fletcher-Goldfarb-Shanno method were employed to obtain optimum design variables which are taper angle, rail width and taper length in order to keep the forces and moments acting on the slider head in dynamic equilibrium. The results show that the optimal head slider of the magnetic head has good stability characteristic that can reach the steady state within 0.5 microsecond.

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The Singularity Analysis of the Casing Oscillator (케이싱 오실레이터의 특이점 해석)

  • 남윤주;배형섭;박명관
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.1
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    • pp.100-108
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    • 2004
  • In this paper, the new casing oscillator, which is a construction machine and which structure is similar to that of a parallel manipulator with redundancy, is proposed. The singularity analysis of this machine is performed by two different methods. First, the singularities are found by the numerical method at configurations where the rank of the Jacobian matrix becomes deficient. The singularities are outside the workspace. To investigate the physical information on these configurations, the singularities are examined by the geometric method at configurations where the casing oscillator cannot resist the external forces and moments applied to the upper platform due to losing static equilibrium. The results of the geometric method are the same as those of the numerical method. It proves that the new casing oscillator is free from the singularity, which causes serious problems to a parallel manipulator.

Likelihood ratio in estimating gamma distribution parameters

  • Rahman, Mezbahur;Muraduzzaman, S. M.
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.2
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    • pp.345-354
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    • 2010
  • The Gamma Distribution is widely used in Engineering and Industrial applications. Estimation of parameters is revisited in the two-parameter Gamma distribution. The parameters are estimated by minimizing the likelihood ratios. A comparative study between the method of moments, the maximum likelihood method, the method of product spacings, and minimization of three different likelihood ratios is performed using simulation. For the scale parameter, the maximum likelihood estimate performs better and for the shape parameter, the product spacings estimate performs better. Among the three likelihood ratio statistics considered, the Anderson-Darling statistic has inferior performance compared to the Cramer-von-Misses statistic and the Kolmogorov-Smirnov statistic.

Study out Analyze antenna simply by Moment method (Moment 법에 의한 간편한 안테나 해석 프로그램 구현)

  • Kwon, So-Hyun;Kang, Sung-Tek;Kim, Hyeong-Seok
    • 한국정보통신설비학회:학술대회논문집
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    • 2008.08a
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    • pp.418-421
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    • 2008
  • This paper presents the program to analyze an antenna for using the Moment Method. The program contains three different functional steps. In the first stage, the pre-processor is based on the Delaunay Triangulation Algorithm. The next stage, the main-processor, can be considered the core process of the program, which solutions are obtaining the linear matrix for using the Moment Method. The final stages, the name of the post-processor, analyze radiation patterns, which results are same with the S-parameters. The results demonstrate satisfactory agreement with the results for using other numerical packages and measurement data. We can confirm that the results of this program compare with the results of common program to analyze for an antenna.

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Development of a Consistent General Order Nodal Method for Solving the Three-Dimensional, Multigroup Neutron Diffusion Equation

  • Kim, Hyun-Dae-;Oh, Se-Kee
    • Proceedings of the Korea Society for Energy Engineering kosee Conference
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    • 1993.11a
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    • pp.99-102
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    • 1993
  • A consistent general order nodal method for solving the three-dimensional neutron diffusion equation in (x-y-z) geometry has been derived by using a weighted integral technique and expanding the spatial variable by the Legendre orthogonal series function. The equation set derived can be converted into any order nodal schemes. It forms a compact system for general order of nodal moments. The method utilizes fewer unknown variables in the schemes for iterative-convergence solution than other nodal methods listed in the literatures, and because the method utilizes the analytic solutions of the transverse-integrated one dimensional equations and a consistent approximation for a given spatial variable through all the solution procedures, which renders the use of an approximation for the transverse leakages no longer necessary, we can expect extremely accurate solutions and the solution would converge exactly when the mesh width is decreased or the approximation order is increased.

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Torsional Buckling Behavior of Composite Cylinder (복합재 실린더의 비틀림 좌굴 특성 연구)

  • 이춘우;권진회
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2002.10a
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    • pp.92-95
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    • 2002
  • A nonlinear finite element method is presented to evaluate the torsional buckling moment and failure of composite laminated cylinders. For the progressive failure analysis, the complete unloading method is used based on the maximum stress failure criteria. An arc-length method is incorporated to trace the postbuckling equilibrium path. Present finite element method is verified by the existing experimental and analytical results. The results of the parametric study show that the torsional buckling moments are sensitive to the geometric change, but are not much affected by the lay-up angle. All cylinders tested numerically show the unstable torsional buckling, and therefore the torsional buckling always leads to the catastrophic failure.

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Estimation for the generalized exponential distribution under progressive type I interval censoring (일반화 지수분포를 따르는 제 1종 구간 중도절단표본에서 모수 추정)

  • Cho, Youngseukm;Lee, Changsoo;Shin, Hyejung
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.6
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    • pp.1309-1317
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    • 2013
  • There are various parameter estimation methods for the generalized exponential distribution under progressive type I interval censoring. Chen and Lio (2010) studied the parameter estimation method by the maximum likelihood estimation method, mid-point approximation method, expectation maximization algorithm and methods of moments. Among those, mid-point approximation method has the smallest mean square error in the generalized exponential distribution under progressive type I interval censoring. However, this method is difficult to derive closed form of solution for the parameter estimation using by maximum likelihood estimation method. In this paper, we propose two type of approximate maximum likelihood estimate to solve that problem. The simulation results show the obtained estimators have good performance in the sense of the mean square error. And proposed method derive closed form of solution for the parameter estimation from the generalized exponential distribution under progressive type I interval censoring.

Responses of self-anchored suspension bridge to sudden breakage of hangers

  • Qiu, Wenliang;Jiang, Meng;Zhang, Zhe
    • Structural Engineering and Mechanics
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    • v.50 no.2
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    • pp.241-255
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    • 2014
  • The girder of self-anchored suspension bridge is subjected to large compression force applied by main cables. So, serious damage of the girder due to breakage of hangers may cause collapse of the whole bridge. With the time increasing, the hangers may break suddenly for their resistance capacities decrease due to corrosion. Using nonlinear static and dynamic analysis methods and adopting 3D finite element model, the responses of a concrete self-anchored suspension bridge to sudden breakage of hangers are studied in this paper. The results show that the sudden breakage of a hanger has significant effects on tensions of the hangers next to the broken hanger, bending and torsion moments of the girder, moments of the towers and reaction forces of the bearings. The results obtained from dynamic analysis method are very different from those obtained from static analysis method. The maximum tension of hanger produced by breakage of a hanger exceeds 2.2 times of its initial value, the maximum dynamic amplification factor reaches 2.54, which is larger than the value of 2.0 recommended for cable-stayed bridge in PTI codes. If two adjacent hangers on the same side of bridge break one after another, the maximum tension of other hangers exceeds 3.0 times of its initial value. If the safety factor adopted to design hanger is too small, or the hangers have been exposed to corrosion, the bridge may collapse due to breakage of two adjacent hangers.

Torsional effects in symmetrical steel buckling restrained braced frames: evaluation of seismic design provisions

  • Roy, Jonathan;Tremblay, Robert;Leger, Pierre
    • Earthquakes and Structures
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    • v.8 no.2
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    • pp.423-442
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    • 2015
  • The effects of accidental eccentricity on the seismic response of four-storey steel buildings laterally stabilized by buckling restrained braced frames are studied. The structures have a square, symmetrical footprint, without inherent eccentricity between the center of lateral resistance (CR) and the center of mass (CM). The position of the bracing bents in the buildings was varied to obtain three different levels of torsional sensitivity: low, intermediate and high. The structures were designed in accordance with the seismic design provisions of the 2010 National Building Code of Canada (NBCC). Three different analysis methods were used to account for accidental eccentricity in design: (1) Equivalent Static Procedure with static in-plane torsional moments assuming a mass eccentricity of 10% of the building dimension (ESP); (2) Response Spectrum Analysis with static torsional moments based on 10% of the building dimension (RSA-10); and (3) Response Spectrum Analysis with the CM being displaced by 5% of the building dimension (RSA-5). Time history analyses were performed under a set of eleven two-component historical records. The analyses showed that the ESP and RSA-10 methods can give appropriate results for all three levels of torsional sensitivity. When using the RSA-5 method, adequate performance was also achieved for the low and intermediate torsional sensitivity cases, but the method led to excessive displacements (5-10% storey drifts), near collapse state, for the highly torsionally sensitive structures. These results support the current provisions of NBCC 2010.

Numerical Study on the Effects of Combination of Blade Number for Shaft Forces and Moments of Contra-Rotating Propeller (상반회전 프로펠러의 날개수 조합에 따른 축기진력 연구)

  • Paik, Kwang-Jun;Lee, Jinsuk;Lee, Taegu;Hoshino, Tetsuji;Park, Hyung-Gil;Seo, Jongsoo
    • Journal of the Society of Naval Architects of Korea
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    • v.50 no.5
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    • pp.282-290
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    • 2013
  • The effects of the combination of blade number for forward and after propeller on the propeller shaft forces of a contra-rotating propeller (CRP) system are presented in the paper. The research is performed through the numerical simulations based on the Reynolds-Averaged Navier-Stokes equations (RANS). The simulation results of the present method in open water condition are validated comparing with the experimental data as well as the other numerical simulation results based on the potential method for 4-0-4 CRP (3686+3687A) and 4-0-5 CRP (3686+3849) of DTNSRDC. Two sets of CRP are designed and simulated to study the effect of the combination of blade number in behind-hull condition. One set consists of 3-blade and 4-blade, while the other is 4-blade and 4-blade. A full hull body submerged under the free surface is modeled in the computational domain to simulate directly the wake field of the ship at the propeller plane. From the simulation results, the fluctuations of axial force and moment are dominant in the case of same blade numbers for forward and after propellers, whereas the fluctuations of horizontal and vertical forces and moments are very large in the case of different blade numbers.