• Title/Summary/Keyword: separation of variables

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Comparative dynamic analysis of axially loaded beams on modified Vlasov foundation

  • Hizal, Caglayan;Catal, Hikmet Huseyin
    • Structural Engineering and Mechanics
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    • v.57 no.6
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    • pp.969-988
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    • 2016
  • Vibration analysis of the beams on elastic foundation has gained the great interest of many researchers. In the literature, there are many studies that focus on the free vibration analysis of the beams on one or two parameter elastic foundations. On the other hand, there are no sufficient studies especially focus on the comparison of dynamic response including the bending moment and shear force of the beams resting on Winkler and two parameter foundations. In this study, dynamic response of the axially loaded Timoshenko beams resting on modified Vlasov type elastic soil was investigated by using the separation of variables method. Governing equations were obtained by assuming that the material had linear elastic behaviour and mass of the beam was distributed along its length. Numerical analysis were provided and presented in figures to find out the differences between the modified Vlasov model and conventional Winkler type foundation. Furthermore, the effect of shear deformation of elastic soil on the dynamic response of the beam was investigated.

Errors in One-Dimensional Heat Transfer Analysis in a Hollow Cylinder Feedwater Pipe (속이 빈 원관에서 1차원적인 열전달 해석의 오차)

  • Gang, Hyeong-Seok
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.2
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    • pp.689-696
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    • 1996
  • A comparison is made of the heat loss from a hollow cylinder, computed using an one-dimensional analytic method and a two-dimensional separation of variables scheme. For a two-dimensional analysis, the temperature of the inner surface as a boundary condition can be varied along the length of the cylinder by varing the temperature variation factor, b. Comparisons of the heat loss from the hollow cylinder using these two methods are given as a function of non-dimensional cylinder length, the ratio of the outer radius to the inner radius, temperature variation factor and Biot number. The result shows that the value of the heat loss from the hollow cylinder obtained using the one-dimensional analytic method becomes close to the value given by the two-dimensional separation of variables scheme as the value of Biot number and the non-dimensional hollow cylinder length increase and as the ratio of the outer radius to the inner radius decreases.

A METHOD FOR STRUCTURED LINEAR TOTAL LEAST NORM ON BLIND DECONVOLUTION PROBLEM

  • Oh, Se-Young;Kwon, Sun-Joo;Yun, Jae-Heon
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.151-164
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    • 2005
  • The regularized structured total least norm (RSTLN) method finds an approximate solution x and error matrix E to the overdetermined linear system (H + E)x $\approx$ b, preserving structure of H. A new separation scheme by parts of variables for the regularized structured total least norm on blind deconvolution problem is suggested. A method combining the regularized structured total least norm method with a separation by parts of variables can be obtain a better approximated solution and a smaller residual. Computational results for the practical problem with Block Toeplitz with Toeplitz Block structure show the new method ensures more efficiency on image restoration.

A New Adaptive Image Separation Scheme using ICA and Innovation Process with EM

  • Kim, Sung-Soo;Ryu, Jeong-Woong;Oh, Bum-Jin
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.96.2-96
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    • 2002
  • In this paper, a new method for the mixed image separation is presented using the independent component analysis, the innovation process, and the expectation-maximization. In general, the independent component analysis (ICA) is one of the widely used statistical signal processing scheme that represents the information from observations as a set of random variables in the form of linear combinations of another statistically independent component variables. In various useful applications, ICA provides a more meaningful representation of the data than the principal component analysis through the transformation of the data to be quasi-orthogonal to each other, which can be utilized in linear p...

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A Study on Co-Injection Resin Transfer Molding

  • Gonzalez, Alfredo;Lee, Doh-Hoon;Lee, Woo-Il;Um, Moon-Kwang;Byun, Joon-Hyung;Kim, Young-Min;Chung, Seung-Hwang;Lee, Byoung-Ho
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2005.11a
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    • pp.111-116
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    • 2005
  • In this study the compatibility of Epoxy resin with Phenolic using three different separation layer techniques was investigated; some important process variables such as pressure, flow front and deformation were monitored in order to get a better understanding of the process.

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Separation and flux characteristics in cross-flow ultrafiltration of bovine serum albumin and bovine hemoglobin solutions

  • Hsiao, Ruey-Chang;Hung, Chia-Lin;Lin, Su-Hsia;Juang, Ruey-Shin
    • Membrane and Water Treatment
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    • v.2 no.2
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    • pp.91-103
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    • 2011
  • The flux behavior in the separation of equimolar bovine serum albumin (BSA) and bovine hemoglobin (HB) in aqueous solutions by cross-flow ultrafiltration (UF) was investigated, in which polyacylonitrile membrane with a molecular weight cut-off (MWCO) of 100 kDa was used. BSA and HB have comparable molar mass (67,000 vs. 68,000) but different isoelectric points (4.7 vs. 7.1). The effects of process variables including solution pH (6.5, 7.1, and 7.5), total protein concentration (1.48 and 7.40 ${\mu}M$), transmembrane pressure (69, 207, and 345 kPa), and solution ionic strength (with or without 0.01 M NaCl) on the separation were examined. It was shown that the ionic strength had a negligible effect on separation performance under the conditions studied. Although BSA and HB are not rigid bodies, the flux decline in the present cross-flow UF did not result from the mechanism of cake filtration with compression. In this regard, the specific cake resistance when pseudo steady-state was reached was evaluated and discussed.

A Conceptual Analysis of Household Migration Decisions (가구의 이동결정에 관한 개념적고찰)

  • 김헌민
    • Korea journal of population studies
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    • v.14 no.1
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    • pp.26-34
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    • 1991
  • Migration studies that assume that decision making is done on an individual basis is overlooking the importance of the family factor. Considering that must people belong to families, it is more appropriate to view migration decision from the perspective of the family. This study analyzes the household migration decision whereby the alternatives are to stay, 10 undertake family migration or to undertake single migration of a member. In developing a conceptual model of household migration decision, it is assumed that the household's objective is to maximize household income which is a function of individual members' earnings. The benefits and costs of household migration and individual migration are identified and the household chooses the migration strategy that maximizes expected household income. When household members have conflicting earning prospects in the potential destination, the household considers single migration of the member with the best earning potentials. However, lone migration by a household member involves cost of family separation which is both monetary and psychic, and this study shows that lone migration is undertaken only when its net gains to the family are greater than the separation cost of the family. The major benefit of choosing single migration is the retention of home base in the place of origin which can serve as an insurance against the uncertainty of obtaining a job in the destination, the benefit that is unavailable in family migration. The conceptual analysis shows how a household's migration decision would depend on its members' economic roles and prospects in the destination. Besides the economic variables, social and life cycle variables of the family translate into separation costs and benefits of migration. This study indicates that one - earner family in low economic status but with good earning prospects and high separation costs is more likely to choose family migration over single migration.

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A Study on the Peak Separation of Acetone and Acrolein Based on High-Performance Liquid Chromatography (HPLC) Method

  • Kim, Shin-Do;Kim, Chang-Hwan;Park, Jin-Su;Lee, Jeong-Joo
    • Bulletin of the Korean Chemical Society
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    • v.30 no.9
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    • pp.2011-2016
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    • 2009
  • To resolve the differentiation problem of acetone and acrolein in the analysis of carbonyls by high-performance liquid chromatography (HPLC), we investigated the optimum analytical conditions for their separation. Carbonyl compounds were collected by 2,4-dinitrophenylhydrazine (DNPH)-coated cartridges. We examined the influence of three experimental variables: temperature (25, 30, 40, 50 and 60 ${^{\circ}C}$), flow rate (1.0 and 1.2 mL/min), and relative mobile phase composition (among acetonitrile, water and tetrahydrofuran). The experimental results revealed the optimum analytical condition of a flow rate of 1.2 mL/min, temperature of 32 ${^{\circ}C}$ and mobile phase composition of acetonitrile: water: tetrahydrofuran = 34 : 52.8 : 13.2. The analysis of indoor air composition indicated that acrolein and acetone comprised 11% and 42% of all aldehydes, respectively.

Separation of Magnetic/non-Magnetic Particles by an Electromagnetic Fluidized Bed (전자석 유동층에 의한 자성/비자성 입자의 분리)

  • 김용하;서인국
    • Resources Recycling
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    • v.6 no.1
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    • pp.17-22
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    • 1997
  • An electromagnetic fluidized bed was proposed for the continuous separation of magnetic particles from the fine a admixtures with nonHmagnetic particles. The effects of operating variables on the magnetic fraction in the separated p particles were examined, including superficial gas velocity, mixing fraction of magnetic particles (= 100-mixing fraction of n non-magnetic particles) in the admixture, and electric current supplied to the electwmagnet. It was found that the s separation was possible when a magnetic force formed by the electromagnets works on the magnetic particles over the hydrodynamic force caused by a gas stream for fluidizing the fine admixture.

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An Experimental Study on the Flexural Behavior of RC beams Strengthened by CRFP-Grid (탄소격자섬유로 보강한 RC보의 휨거동에 관한 실험적 연구)

  • 조병완;김영진;태기호
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10b
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    • pp.845-850
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    • 1998
  • Flexural tests on 3.0m reinfored concrete beams with epoxy and anchor bolt bonded CFRF-Grid reported in these tests. The selected experimental variables are concrete compressive strength, strengthening length and strengthening method. The effects of these variables in overall behavior are discussed. The results generally shown that the main flexural mode of strengthened beams is separation failure. The strengthening of the chipping by the tensile bar is really necessary in order to prevent CFRP-Grid from rip-off failure.

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