• Title/Summary/Keyword: distribution-free method

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On the Modified Supplementary Variable Technique for a Discrete-Time GI/G/1 Queue with Multiple Vacations (복수휴가형 이산시간 GI/G/1 대기체계에 대한 수정부가변수법)

  • Lee, Doo Ho
    • Journal of Korean Institute of Industrial Engineers
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    • v.42 no.5
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    • pp.304-313
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    • 2016
  • This work suggests a new analysis approach for a discrete-time GI/G/1 queue with multiple vacations. The method used is called a modified supplementary variable technique and our result is an exact transform-free expression for the steady state queue length distribution. Utilizing this result, we propose a simple two-moment approximation for the queue length distribution. From this, approximations for the mean queue length and the probabilities of the number of customers in the system are also obtained. To evaluate the approximations, we conduct numerical experiments which show that our approximations are remarkably simple yet provide fairly good performance, especially for a Bernoulli arrival process.

Heat Source Modeling of GMAW Considering Metal Transfer (용적이행을 고려한 GMA 용접의 열원 모델링)

  • 정기남;이지혜;이재영;유중돈
    • Journal of Welding and Joining
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    • v.22 no.2
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    • pp.69-77
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    • 2004
  • The Gaussian heat source has been widely used to simulate the heat flux of the welding we, and applied to calculating the temperature distribution of a workpiece. The conventional two-dimensional Gaussian heat source for the GMAW is modified in this work by decomposing the arc heat into heats of the cathode and metal transfer. The efficiency and effective arc radius of each heat source are determined analytically for the free-flight mode such as the globular and spray modes. The temperature distribution and weld geometry are calculated using the finite element method, and distribution of the drop heat is found to have significant effects on the penetration. The predicted results show good agreements with the available experimental results, especially with the penetration.

Correlation between the subjective comfort and elastic body pressure distribution on a bicycle saddel (자전거 안장의 연체압 분포와 주관적 안락도의 상관성에 관한 연구)

  • 최정윤;박경수
    • Proceedings of the ESK Conference
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    • 1993.04a
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    • pp.145-145
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    • 1993
  • In bicycle design, saddle is the major part which effects the subjective comfort of rider. This study examines the correlation between the subjective comfort and elastic body pressure. The elastic body pressure measuring instrument for free-form surface such as saddle is developed by force sensor register, A/D converter and computer. The subjective comfort is measured quantit- atively by 11-point scale method and the elastic body pressure distribution is obtained through 3 different saddles at 4 postures. The pressure distribution is presented by computerized equi- pressure contour. While mean pressure, standard deviation of pressure, maximum pressure are inversely proportional to subjective comfort, the modified saddle-bearing weight which is the surface integral of pressure is directly proportional. Consequently, standard deviation of pressure is most important characteristic which affects variation of subjective comfort.

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Three-dimensional modelling of functionally graded beams using Saint-Venant's beam theory

  • Khebizi, Mourad;Guenfoud, Hamza;Guenfoud, Mohamed;El Fatmi, Rached
    • Structural Engineering and Mechanics
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    • v.72 no.2
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    • pp.257-273
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    • 2019
  • In this paper, the mechanical behaviour of functionally graded material beams is studied using the 3D Saint-Venant's theory, in which the section is free to warp in and out of its plane (Poisson's effects and out-of-plane warpings). The material properties of the FGM beam are distributed continuously through the thickness by several distributions, such as power-law distribution, exponential distribution, Mori-Tanaka schema and sigmoid distribution. The proposed method has been applied to study a simply supported FGM beam. The numerical results obtained are compared to other models in the literature, which show a high performance of the 3D exact theory used to describe the stress and strain fields in FGM beams.

Vibration analysis of different material distributions of functionally graded microbeam

  • Tlidji, Youcef;Zidour, Mohamed;Draiche, Kadda;Safa, Abdelkader;Bourada, Mohamed;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • v.69 no.6
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    • pp.637-649
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    • 2019
  • In the current research paper, a quasi-3D beam theory is developed for free vibration analysis of functionally graded microbeams. The volume fractions of metal and ceramic are assumed to be distributed through a beam thickness by three functions, power function, symmetric power function and sigmoid law distribution. The modified coupled stress theory is used to incorporate size dependency of micobeam. The equation of motion is derived by using Hamilton's principle, however, Navier type solution method is used to obtain frequencies. Numerical results show the effects of the function distribution, power index and material scale parameter on fundamental frequencies of microbeams. This model provides designers with guidance to select the proper distributions and functions.

Analytical study on post-buckling and nonlinear free vibration analysis of FG beams resting on nonlinear elastic foundation under thermo-mechanical loadings using VIM

  • Yaghoobi, Hessameddin;Valipour, Mohammad Sadegh;Fereidoon, Abdolhossein;Khoshnevisrad, Pooria
    • Steel and Composite Structures
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    • v.17 no.5
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    • pp.753-776
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    • 2014
  • In this paper, nonlinear vibration and post-buckling analysis of beams made of functionally graded materials (FGMs) resting on nonlinear elastic foundation subjected to thermo-mechanical loading are studied. The thermo-mechanical material properties of the beams are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents, and to be temperature-dependent. The assumption of a small strain, moderate deformation is used. Based on Euler-Bernoulli beam theory and von-Karman geometric nonlinearity, the integral partial differential equation of motion is derived. Then this PDE problem which has quadratic and cubic nonlinearities is simplified into an ODE problem by using the Galerkin method. Finally, the governing equation is solved analytically using the variational iteration method (VIM). Some new results for the nonlinear natural frequencies and buckling load of the FG beams such as the influences of thermal effect, the effect of vibration amplitude, elastic coefficients of foundation, axial force, end supports and material inhomogenity are presented for future references. Results show that the thermal loading has a significant effect on the vibration and post-buckling response of FG beams.

Simulation for Chlorine Residuals and Effect of Rechlorination in Drinking Water Distribution Systems of Suwon City (수원시 상수관망에서 잔류염소와 재염소주입의 효과 예측)

  • Kim, Kyung-Rok;Lee, Byong-Hi;Yoo, Ho Sik
    • Journal of Korean Society of Water and Wastewater
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    • v.14 no.1
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    • pp.108-116
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    • 2000
  • Chlorine is widely used as a disinfectant in drinking-water systems throughout the world. Chlorine residual was used as an indicator for prediction of water quality in water distribution systems. The variation of chlorine residual in drinking water distribution systems of Suwon city was simulated using EPANET. EPANET is a computerized simulation model which predicts the dynamic hydraulic and water quality behavior within a water distribution system operating over an extended time period. Sampling and analysis were performed to calibrated the computer model in 1999 (Aug. Summer). Water quality variables used in simulations are temperature, roughness coefficient, pipe diameter, pipe length, water demand, velocity and so on. Extended water residence time affected water quality due to the extended reaction time in some areas. All area showed the higher concentration of chlorine residual than 0.2mg/l(standard). So it can be concluded that any area in Suwon city is not in biological regrowth problem. Rechlorination turned out to be an useful method for uniform concentration of free chlorine residual in distribution system. The cost of disinfectant could be saved remarkably by cutting down the initial chlorine concentration to the level which guarantees minimum concentration (0.2mg/l) throughout the distribution system.

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An Exploratory Study on the Characteristics and Distribution of Traditional Liquor among China, Japan and Korea

  • Choi, In-Sik;Lee, Sang-Youn
    • Journal of Distribution Science
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    • v.12 no.5
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    • pp.109-117
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    • 2014
  • Purpose - The study investigates the history, production methods, market scale, and distribution of the traditional liquors of three countries: South Korean sokokju, Chinese shaoxing-chiew, and Japanese sake. These have similar production methods, being made from rice or cereal, cores of their respective food industries. Research design, data, and methodology - The study investigated the history of the three liquors, liquor classification in the three countries, and production methods. It examined the scale of the traditional liquor market and these countries' distribution structure. Results - Brand cognition of traditional liquors is affected by a focus on wellbeing and LOHAS (lifestyle of health and sustainability). Promotion and marketing strategies along with a high quality image, shelf life of draft liquor, traditional liquor identification systems, and high taxes on traditional liquor, and the need for continuous R&D and training of professionals all impacted the industry. Conclusions - These countries play important roles in world trade, seeking economic integration. By forming a free trade agreement (FTA), their traditional liquors, with a proud history, can be jointly branded in the world market.

Simultaneous Determination of Biliary Free and Phospholipid Fatty Acids Using Gas Chromatography-Mass Spectrometry (GC-MS를 이용한 담즙내 유리 지방산 및 인지질 지방산들의 동시 분석)

  • Yang, Yoon Jung;Lee, Seon Hwa;Chung, Bong Chul
    • Analytical Science and Technology
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    • v.13 no.5
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    • pp.592-600
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    • 2000
  • The concentration of free fatty acids and fatty acid composition as well as cholesterol supersaturation in bile may be an important factor in the gallstone formation. Therefore, we simultaneously determinded 23 fatty acids in bile by selected ion monitoring (SIM) method of gas chromatography-mass spectrometry (GC-MS). Biliary fatty acids were extracted by aminopropyl column and the extracts with (phospholipid fraction) or without (free fatty acid fraction) alkaline hydrolysis of phospholipid were derivatized with MSTFA/TMCS (N-methyl-N-trimethylsilyl-trifluoroacetamide/trimethylsilylchloride) mixture in order to be detected on the GC-MS. The recovery range of this method was 61.1-99.0% and the RSD value of within-a-day and day-to-day test were 3.1-25.6% and 3.8-27.0%, respectively. Using this method, biliary profile was investigated in the bile of normal controls and patients with gallstones. The amounts and their distribution of free and phospholipid fatty acids showed different pattern between normal subjects and patients.

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Free vibration analysis of combined system with variable cross section in tall buildings

  • Jahanshahia, Mohammad Reza;Rahgozar, Reza
    • Structural Engineering and Mechanics
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    • v.42 no.5
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    • pp.715-728
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    • 2012
  • This paper deals with determining the fundamental frequency of tall buildings that consist of framed tube, shear core, belt truss and outrigger systems in which the framed tube and shear core vary in size along the height of the structure. The effect of belt truss and outrigger system is modeled as a concentrated rotational linear spring at the belt truss and outrigger system location. Many cantilevered tall structures can be treated as cantilevered beams with variable cross-section in free vibration analysis. In this paper, the continuous approach, in which a tall building is replaced by an idealized cantilever continuum representing the structural characteristics, is employed and by using energy method and Hamilton's variational principle, the governing equation for free vibration of tall building with variable distributed mass and stiffness is obtained. The general solution of governing equation is obtained by making appropriate selection for mass and stiffness distribution functions. By applying the separation of variables method for time and space, the governing partial differential equation of motion is reduced to an ordinary differential equation with variable coefficients with the assumption that the transverse displacement is harmonic. A power-series solution representing the mode shape function of tall building is used. Applying boundary conditions yields the boundary value problem; the frequency equation is established and solved through a numerical process to determine the natural frequencies. Computer program has been developed in Matlab (R2009b, Version 7.9.0.529, Mathworks Inc., California, USA). A numerical example has been solved to demonstrate the reliability of this method. The results of the proposed mathematical model give a good understanding of the structure's dynamic characteristics; it is easy to use, yet reasonably accurate and suitable for quick evaluations during the preliminary design stages.