• Title/Summary/Keyword: l-beam

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A Numerical Study on the Natural Convection from Two Isothermal Square Beams Attached to an Vertical Adiabatic Plate (수직단열판에 부착된 2개의 등온 사각비임에서의 자연대류 열전달에 관한 수치 해석)

  • Park, Jae-Lim;Bae, Dae-Sok;Kwon, Sun-Sok
    • Solar Energy
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    • v.11 no.2
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    • pp.63-69
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    • 1991
  • A Steady laminar natural convection heat transfer from two isothermal square beams attached to a vertical adiabatic plate has been studied numerically. The results have been obtained for dimensionless beam spacings, $0.5{\le}D/L{\le}3.0$, and for Gr=5000-10000 at ${\phi}_2/{\phi}_1=1.0$. 1. The local Nusselt number from the beam surface is increased with the dimension-less beam spacing D/L. but that of the downward surface of the lower beam is almost same as the D/L increases. And, the local Nusselt number from the upward surface of a lower beam is greatly increased with D/L. 2. The beam spacings of the maximum mean Nusselt number for the downward surface of an upper beam and the upward surface of a lower beam occur at. D/L =2.6 and 2.0 respectively. 3. The beam spacing for the maximum total mean Nusselt number occurs at D/L = 2.6.

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A Numerical Study on the Natural Convection from a Square Beam with a Horizontal Adiabatic Plate (수평단열판에 부착된 등온사각비임에서의 자연대류 열전달에 관학 수치해석)

  • Bae, Sok-Tae;Park, Jae-Lim;Kwon, Sun-Sok
    • Solar Energy
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    • v.10 no.1
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    • pp.22-30
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    • 1990
  • Steady laminar natural convection heat transfer from a square beam with a horizontal adiabatic plate has been studied numerically for various Grashof numbers and beam shapes. The heat transfer from a square beam increases as the dimensionless beam width W / L decreases. The mean Nusselt number of the upper surface is minimum at W / L = 1.0, maximum at W / L = 0.25 and that of the side surface is minimum at W / L = 0.25, maximum at W / L = 1.0. The increases of the total mean Nusselt number with increasing Grashof number is dominated by the beam width.

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SPECTRAL ANALYSIS OF THE INTEGRAL OPERATOR ARISING FROM THE BEAM DEFLECTION PROBLEM ON ELASTIC FOUNDATION I: POSITIVENESS AND CONTRACTIVENESS

  • Choi, Sung-Woo
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.27-47
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    • 2012
  • It has become apparent from the recent work by Choi et al. [3] on the nonlinear beam deflection problem, that analysis of the integral operator $\mathcal{K}$ arising from the beam deflection equation on linear elastic foundation is important. Motivated by this observation, we perform investigations on the eigenstructure of the linear integral operator $\mathcal{K}_l$ which is a restriction of $\mathcal{K}$ on the finite interval [$-l,l$]. We derive a linear fourth-order boundary value problem which is a necessary and sufficient condition for being an eigenfunction of $\mathcal{K}_l$. Using this equivalent condition, we show that all the nontrivial eigenvalues of $\mathcal{K}l$ are in the interval (0, 1/$k$), where $k$ is the spring constant of the given elastic foundation. This implies that, as a linear operator from $L^2[-l,l]$ to $L^2[-l,l]$, $\mathcal{K}_l$ is positive and contractive in dimension-free context.

Flexural behavior of reinforced lightweight concrete beams under reversed cyclic loading

  • Chien, Li-Kai;Kuo, Yi-Hao;Huang, Chung-Ho;Chen, How-Ji;Cheng, Ping-Hu
    • Structural Engineering and Mechanics
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    • v.52 no.3
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    • pp.559-572
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    • 2014
  • This paper presents the results of an experimental investigation on the flexural behavior of doubly reinforced lightweight concrete (R.L.C.) beams tested under cyclic loading. A total of 20 beam specimens were tested. Test results are presented in terms of ductility index, the degradation of strength and stiffness, and energy dissipation. The flexural properties of R.L.C. beam were compared to those of normal concrete (R.C.) beams. Test results show that R.L.C. beam with low and medium concrete strength (20, 40MPa) performed displacement ductility similar to the R.C. beam. The ductility can be improved by enhancing the concrete strength or decreasing the tension reinforcement ratio. Using lightweight aggregate in concrete is advantageous to the dynamic stiffness of R.L.C. beam. Enhancement of concrete strength and increase of reinforcement ratio will lead to increase of the stiffness degradation of beam. The energy dissipation of R.L.C beam, similar to R.C. beam, increase with the increase of tension reinforcement ratio. The energy dissipation of unit load cycle for smaller tension reinforcement ratio is relatively less than that of beam with higher reinforcement ratio.

ON POSITIVENESS AND CONTRACTIVENESS OF THE INTEGRAL OPERATOR ARISING FROM THE BEAM DEFLECTION PROBLEM ON ELASTIC FOUNDATION

  • CHOI, SUNG WOO
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.4
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    • pp.1225-1240
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    • 2015
  • We provide a complete proof that there are no eigenvalues of the integral operator ${\mathcal{K}}_l$ outside the interval (0, 1/k). ${\mathcal{K}}_l$ arises naturally from the deflection problem of a beam with length 2l resting horizontally on an elastic foundation with spring constant k, while some vertical load is applied to the beam.

Breeding of L(+)-Lactic Acid Producing Strain by Low-Energy Ion Implantation

  • Ge, Chun-Mei;Gu, Shao-Bin;Zhou, Xiu-Hong;Yao, Jian-Ming;Pan, Ren-Rui;Yu, Zeng-Liang
    • Journal of Microbiology and Biotechnology
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    • v.14 no.2
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    • pp.363-366
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    • 2004
  • In order to obtain an industrial strain with higher L(+)-lactic acid yield, the wild type strain Rhizopus oryzae PW352 was mutated by means of Nitrogen ions implantation (l5 Kev, $7.8 \times 10^{14} - 2.08 \times 10^{15} ions/Cm^2$ and two mutants RE3303 and RF9052 were isolated. After 36 h shake-flask cultivation, the concentration of L(+)-lactic acid reached 131-136 g/l, the conversion rate of glucose was as high as 86%-90% and the productivity was 3.61 g/l.h. It was almost a 75% increase in lactic acid production compared with the wild type strain. Maximum fermentation temperature of RF9052 was increased to $45^{\circ}C$ from original $36^{\circ}C$. At the same time, the preferred range of fermentation temperature of RF9052 was broadened compared with PW352.

Large displacement geometrically nonlinear finite element analysis of 3D Timoshenko fiber beam element

  • Hu, Zhengzhou;Wu, Minger
    • Structural Engineering and Mechanics
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    • v.51 no.4
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    • pp.601-625
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    • 2014
  • Based on continuum mechanics and the principle of virtual displacements, incremental total Lagrangian formulation (T.L.) and incremental updated Lagrangian formulation (U.L.) were presented. Both T.L. and U.L. considered the large displacement stiffness matrix, which was modified to be symmetrical matrix. According to the incremental updated Lagrangian formulation, small strain, large displacement, finite rotation of three dimensional Timoshenko fiber beam element tangent stiffness matrix was developed. Considering large displacement and finite rotation, a new type of tangent stiffness matrix of the beam element was developed. According to the basic assumption of plane section, the displacement field of an arbitrary fiber was presented in terms of nodal displacement of centroid of cross-area. In addition, shear deformation effect was taken account. Furthermore, a nonlinear finite element method program has been developed and several examples were tested to demonstrate the accuracy and generality of the three dimensional beam element.

The Electroluminescence Display using Electron Beam evaporation (E-Beam 증착기를 이용한 전계발광 표시장치)

  • Hur, Chang-Wu
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.6
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    • pp.1051-1055
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    • 2008
  • If ZnS receive electric energy, it can generate light. Thin film ELD has merits of excellent sight effect, solid state and easy fabrication but has problems of low emission density, high power loss and high operating voltage. Thin film deposited by electron beam evaporator has good uniformity of 6%. We fabricate excellent thin film ELD for solution of this problems. The thin film ELD made in this study has brightness of 650fL at yellow light and 350fL at green light.

Variable kinematic beam elements for electro-mechanical analysis

  • Miglioretti, F.;Carrera, E.;Petrolo, M.
    • Smart Structures and Systems
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    • v.13 no.4
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    • pp.517-546
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    • 2014
  • This paper proposes a refined electro-mechanical beam formulation. Lagrange-type polynomials are used to interpolate the unknowns over the beam cross section. Three- (L3), four- (L4), and nine-point(L9) polynomials are considered which lead to linear, bi-linear, and quadratic displacement field approximations over the beam cross-section. Finite elements are obtained by employing the principle of virtual displacements in conjunction with the Carrera Unified Formulation (CUF). The finite element matrices and vectors are expressed in terms of fundamental nuclei whose forms do not depend on the assumptions made. Additional refined beam models are implemented by introducing further discretizations, over the beam cross-section. Some assessments from bibliography have been solved in order to validate the electro-mechanical formulation. The investigations conducted show that the present formulation is able to detect the electro-mechanical interaction.