• Title/Summary/Keyword: Solution Technique

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A Simple Finite Element Analysis of Axisymmetrical Shell Structures (축대칭 쉘 구조의 단순 유한요소 해석)

  • 김용희;이윤성
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.45 no.2
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    • pp.68-77
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    • 2003
  • Shell structure are widely used in a variety of engineering application and mathematical solution of shell structures are available only for a few special cases. The solution of shell structure is more complicated when it has such condition as winker foundation, variable thickness and other problem. In this paper, a simple finite element method is presented for the analysis of axisymmetric several types of shell structure subjected to axisymmetric loads and having uniform and varying wall thickness on elastic foundation. The method is based on the analogy with a beam on elastic foundation (BEF), foundation stiffness matrix where the foundation modulus and beam flexural rigidity are replaced by appropriate parameters pertaining to the shell under considerations. The technique is attractive for implementation on a numerical solution by means of a computer program coded in FORTRAN language with a few elements. To demonstrate this fact, it gives good results which compare well with SAP2000.

Dynamic response of a bridge deck with one torsional degree of freedom under turbulent wind

  • Foti, Dora;Monaco, Pietro
    • Wind and Structures
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    • v.3 no.2
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    • pp.117-132
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    • 2000
  • Under special conditions of turbulent wind, suspension and cable-stayed bridges could reach instability conditions. In various instances the bridge deck, as like a bluff body, could exhibit single-degree torsional instability. In the present study the turbulent component of flow has been considered as a solution of a differential stochastic linear equation. The input process is represented by a Gaussian zero-mean white noise. In this paper the analytical solution of the dynamic response of the bridge has been determined. The solution has been obtained with a technique of closing on the order of the moments.

Fixation of $\gamma$-Radionuclides by the PVA-PMAA System

  • Won, Hui-Jun;Ahn, Byung-Gil;Jung, Chong-Hun;Kim, Gye-Nam;Oh, Won-Zin
    • Nuclear Engineering and Technology
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    • v.32 no.3
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    • pp.205-213
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    • 2000
  • A series of laboratory experiments was conducted to investigate the fixation characteristics of poly(vinylalcohol)-poly(methacrylic acid)(PVA-PMAA) mixed solution on the soluble ${\gamma}$- radionuclides. Using the potentiometric titration technique, it was found out that the PVA and PMAA in a solution form intermacromolecular complex. The mobilized portion of each radionuclide by water from sand surface treated with a fixative was measured by ${\gamma}$-ray spectroscopy. The mobilized portion of minor radionuclides such as 241Am, 154Eu, 155Eu and 144Ce were higher than those of 134Cs and 137Cs. The capability of PVA-PMAA system was better among the candidate solutions for the fixation of total ${\gamma}$-radioactivity. 134,137Cs which is composed of more than 85 % of total ${\gamma}$-radioactivity could be fixed effectively by the PVA-PMAA solution.

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Micromachining of Fused Silica by KrF Excimer Laser Induced Wet Etching (KrF 엑시머 레이저를 이용한 용융실리카의 미세 습식 식각가공)

  • 백병선;이종길;전병희;김헌영
    • Transactions of Materials Processing
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    • v.11 no.7
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    • pp.601-607
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    • 2002
  • Optically transparent materials such as fused silica, quartz and crystal have become important in the filed of optics and optoelectronics. Laser ablation continues to grow as an important technique for micromachining and surface modification of various materials, because many problems caused by direct contact between tools and workpiece can be avoided. Especially, laser ablation with excimer lasers enables fine micromachining of transparent materials such as fused silica, quartz and crystal, etc. In this study, laser-induced wet etching of fused silica in organic solution was conducted. KrF excimer laser was used as a light source and acetone solution of pyrene was used as etchant. Changing the number of laser pulses, micro holes of various depths are fabricated.

Synergistic Effect of Mixed Anionic/Nonionic Surfactant Micelles (음이온/비이온 계면활성제의 미셀상승 효과)

  • Kwon, Soun-Il;Kwack, Kwang-Soo;Nam, Ki-Dae
    • Journal of the Korean Applied Science and Technology
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    • v.18 no.4
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    • pp.249-253
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    • 2001
  • A proposed method of determining the composition of mixed micelles in equilibrium with monomer of known composition is described. The systems were sodium ${\alpha}-sulfonated$ dodecanoyl ethyl esther (${\alpha}-SR_{12}Et$) or sodium dodecyl sulfate(SDS)-polyoxyethylene 23 lauryl ether (Brij 35) un water and in 0.1M sodium chloride solution at $25^{\circ}C$. This technique applies the Gibbs-Duhem equation to the mixed micelles, which is treated as a pseudophase. This proposed methodology, which needs only critical micelle concentration data as a function of monomer composition, is applied to an anionic/nonionic surfactant pair. The calculated monomer-micelle equilibrium is found to be very similar to the much-used regular solution for nonideal systems.

An Analysis of Inverse Kinematics and Singular Configuration for Six Axes Robot with Wrist Offset (ICEIC'04)

  • Lee YoungDae;Cho KumBae
    • Proceedings of the IEEK Conference
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    • summer
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    • pp.263-268
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    • 2004
  • The inverse kinematics problem is to find a set of joint variable values that will place the end effector of a robot manipulator into a given pose. Pieper has shown that a sufficient condition for a manipulator to have a closed form solution is that three adjacent joint axes intersects, hence the six axes robot with spherical wrist allows closed form solution. But many industrial robots have a non-spherical wrist to provide a stronger wrist configuration so that they can handle heavy payloads. Also, the use of a non-spherical wrist can result in a cheap and simple wrist arrangement than when all three axes intersect at a common point. In these cases, closed form solutions cannot be found. Therefore numerical technique must be used to solve the inverse kinematics equations. This paper proposes a new algorithm that can be used for finding inverse kinematics solution of the six axes robot with non-spherical wrist. Computer simulations are provided to prove the usefulness of our method.

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Application of Electrochemical Etch-stop in TMAH/IPA/pyrazine Solution to Pressure Sensors (TMAH/IPA/pyrazine용액에 있어서 전기화학적 식각정지법의 압력센서에의 응용)

  • 박진성;정귀상
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1998.06a
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    • pp.423-426
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    • 1998
  • Piezoresistive pressure sensors have fabricated using electrochemical etch-stop technique. Si diaphragm having thickness of n-epi. layer was fabricated and used to detect pressure range from 0 to 1 kg/$\textrm{cm}^2$. Piezoresistors were diffused 3${\times}$10$\^$18/ cm$\^$-3/ and placed at diaphragm edge for maximum pressure detection. The characteristics of electrochemical etch-stop in TMAH/lPA/pyrazine solution were also discussed. I-V curves of n and p-type Si in TMAH/lPA/pyrazine solution were obtained. Etching rate is highest at optimum etching condition, TMAH 25wt.%/IPA 17vo1.%/pyrazine 0.1/100m1, thus the elapsed time of etch-stop was reduced.

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Solution Recovery Techniques for Posteriori Error Estimation (후처리 에러산정을 위한 가상해 도출방법)

  • Lee, Sang-Ho;Kim, Sang-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.04a
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    • pp.47-53
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    • 1996
  • An enhanced solution recovery method for recovering accurate derivatives such as moments, or shears, from finite element solutions for $C^{0}$ beam and plate is presented. In the enhanced method, the square of the residuals in the equilibrium equations is included. Results are compared with those of standard Zienkiewicz-Zhu methods. Numerical examples show that in the global projection, the enhanced technique improves the accuracy of projected solution significantly. In the local projection, the enhanced method circumvents the numerical ill-conditioning which occurs in some meshes, and usually recovers derivatives with better accuracy.y.

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A general method of analysis of composite beams with partial interaction

  • Ranzi, G.;Bradford, M.A.;Uy, B.
    • Steel and Composite Structures
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    • v.3 no.3
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    • pp.169-184
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    • 2003
  • This paper presents a generic modelling of composite steel-concrete beams with elastic shear connection. It builds on the well-known seminal technique of Newmark, Siess and Viest, in order to formulate the partial interaction formulation for solution under a variety of end conditions, and lends itself well for modification to enable direct quantification of effects such as shrinkage, creep, and limited shear connection slip capacity. This application is possible because the governing differential equations are set up and solved in a fashion whereby inclusion of the kinematic and static end conditions merely requires a statement of the appropriate constants of integration that are generated in the solution of the linear differential equations. The method is applied in the paper for the solution of the well-studied behaviour of simply supported beams with partial interaction, as well as to provide solutions for a beam encastr$\acute{e}$ at its ends, and for a propped cantilever.

Differential transform method for free vibration analysis of a moving beam

  • Yesilce, Yusuf
    • Structural Engineering and Mechanics
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    • v.35 no.5
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    • pp.645-658
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    • 2010
  • In this study, the Differential Transform Method (DTM) is employed in order to solve the governing differential equation of a moving Bernoulli-Euler beam with axial force effect and investigate its free flexural vibration characteristics. The free vibration analysis of a moving Bernoulli-Euler beam using DTM has not been investigated by any of the studies in open literature so far. At first, the terms are found directly from the analytical solution of the differential equation that describes the deformations of the cross-section according to Bernoulli-Euler beam theory. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the differential equation of the motion. The calculated natural frequencies of the moving beams with various combinations of boundary conditions using DTM are tabulated in several tables and are compared with the results of the analytical solution where a very good agreement is observed.