• Title/Summary/Keyword: Homogeneous Solution

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GENERALIZED THERMO ELASTIC WAVES IN A CYLINDRICAL PANEL EMBEDDED ON ELASTIC MEDIUM

  • Ponnusamy, P.;Selvamani, R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.17 no.1
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    • pp.1-15
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    • 2013
  • In this paper the three dimensional wave propagation in a homogeneous isotropic thermo elastic cylindrical panel embedded in an elastic medium (Winkler model) is investigated in the context of the L-S (Lord-Shulman) theory of generalized thermo elasticity. The analysis is carried out by introducing three displacement functions so that the equations of motion are uncoupled and simplified. A Bessel function solution with complex arguments is then directly used for the case of complex Eigen values. This type of study is important for design of structures in atomic reactors, steam turbines, wave loading on submarine, the impact loading due to superfast train and jets and other devices operating at elevated temperature. In order to illustrate theoretical development, numerical solutions are obtained and presented graphically for a zinc material with the support of MATLAB.

Epoxidized Polybutadiene as a Thermal Stabilizer for Poly(3-hydroxybutyrate). 1. Effect of Epoxidation on the Thermal Properties of Polybutadiene

  • Park, Ju-Yol;Lee, Jong-Keun;Park, Won-Ho
    • Fibers and Polymers
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    • v.3 no.3
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    • pp.109-112
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    • 2002
  • Polybutadiene(PB) was epoxidized to various extents with m-chloroperbenzoic acid (MCPBA) in homogeneous solution. The thermal properties of the epoxidized PBs were investigated by differential scanning calorimetry (DSC) and thermogravimetric analysis (TGA). As a result of epoxidation the glass transition temperature (Tg) of PB increased by approximately $0.8^{\circ}$ for each 1 mol% of epoxidation. The thermal decomposition of the epoxidised PBs occurred in two-step process, while that of PB exhibited apparent one-step degradation process.

A Study on the Algorithm for Multiple Bifurcation of Lattice Domes (래티스 돔의 다분기 해석을 위한 알고리즘에 관한 연구)

  • 윤한흠;이갑수;한상을
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.10a
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    • pp.395-402
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    • 1999
  • This paper discusses the theoretical researches subject to elastic buckling problems of the structures. The purpose is to ensure the characteristic of buckling be true by arc-length method and the finite element method. The difficulties in processes calculating the equilibrium curve after buckling is to get the equilibrium owe near singular point at which the determinant of stiffness matrix is zero. The purpose of the load-displacement curve is to determine the buckling load of the structure, and further to get the information about the characteristic after buckling. Here, this paper expresses the incremental solution at particular point by the linear combination of both homogeneous mode and particular mode, then uses the method which gets the unknown parameter including this function, through trial-and-error method including modified N-R convergence process. Finally, this paper describes the multiple bifurcation of truss dome as the numerical examples according to this algorithm.

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Preparation of Alumina Ceramics by Pressureless Powder Packing Forming Method: (I) Development of Pressureless Powders Packing Forming Method and Characterization of Green Body (무가압 분말 충전 성형법을 이용한 알루미나 세라믹스의 제조: (I) 무가압 분말 충전 성형법 개발 및 성형체 특성 관찰)

  • 박정현;성재석;이상진
    • Journal of the Korean Ceramic Society
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    • v.31 no.1
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    • pp.31-38
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    • 1994
  • To overcome the demerit of conventional forming method, new forming method, pressureless powder packing forming method, was investigated. This technique is performed by powder packing followed by the infiltration of binder solution. Various alumina powders were used as starting materials and the powders showing good packing condition through powder packing experiment were chosen. The green densities prepared by this new forming method with these powders were lower than those of specimens by pressing method, but, nearly same density was obtained in case of green body prepared with the powders having high packing density. The distribution of binder in a green body was homogeneous and it was possible to a complex shape form by this forming method.

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An analytical method for free vibration analysis of functionally graded sandwich beams

  • Bouakkaz, K.;Hadji, L.;Zouatnia, N.;Adda Bedia, E.A.
    • Wind and Structures
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    • v.23 no.1
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    • pp.59-73
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    • 2016
  • In this paper, a hyperbolic shear deformation beam theory is developed for free vibration analysis of functionally graded (FG) sandwich beams. The theory account for higher-order variation of transverse shear strain through the depth of the beam and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. The material properties of the functionally graded sandwich beam are assumed to vary according to power law distribution of the volume fraction of the constituents. The core layer is still homogeneous and made of an isotropic material. Based on the present refined beam theory, the equations of motion are derived from Hamilton's principle. Navier type solution method was used to obtain frequencies. Illustrative examples are given to show the effects of varying gradients and thickness to length ratios on free vibration of functionally graded sandwich beams.

Analytical solution for steady seepage and groundwater inflow into an underwater tunnel

  • Zou, Jin-feng;Wei, An;Liang, Li
    • Geomechanics and Engineering
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    • v.20 no.3
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    • pp.267-273
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    • 2020
  • Solutions of the water pressure and groundwater inflow distribution along the tunnel perimeter in a half-infinite aquifer were investigated considering the conditions of the constant head and constant water pressure. It is assumed that the circular tunnel is buried in a fully saturated, homogeneous, isotropic and half-infinite space. Coordinate transformation technique was adopted, the problem of solving the control equations of water pressure in the Cartesian coordinate was transformed to that in the bipolar coordinate system, which can significantly simplify the derivation procedure of the water pressure and inflow distribution. The validation results show the accuracy and advantage of the proposed approach.

Exact Static Element Stiffness Matrix of Nonsymmetric Thin-walled Elastic Curved Beams (비대칭 박벽 탄성 곡선보의 엄밀한 정적 요소강도행렬)

  • Yoon Hee-Taek;Kim Moon-Young;Kim Young-Ki
    • Proceedings of the KSR Conference
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    • 2005.11a
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    • pp.1165-1170
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    • 2005
  • In order to perform the spatial buckling analysis of the curved beam element with nonsymmetric thin-walled cross section, exact static stiffness matrices are evaluated using equilibrium equations and force-deformation relations. Contrary to evaluation procedures of dynamic stiffness matrices, 14 displacement parameters are introduced when transforming the four order simultaneous differential equations to the first order differential equations and 2 displacement parameters among these displacements are integrated in advance. Thus non-homogeneous simultaneous differential equations are obtained with respect to the remaining 8 displacement parameters. For general solution of these equations, the method of undetermined parameters is applied and a generalized linear eigenvalue problem and a system of linear algebraic equations with complex matrices are solved with respect to 12 displacement parameters. Resultantly displacement functions are exactly derived and exact static stiffness matrices are determined using member force-displacement relations. The buckling loads are evaluated and compared with analytic solutions or results by ABAQUS's shell element.

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A Study on the Subtask Performance Using Measure Constraint Locus for a Redundant Robot (여유자유도 로봇에 있어서 성능지수 제한궤적을 이용한 부작업의 성능에 관한 연구)

  • 최병욱;원종화;정명진
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.28B no.10
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    • pp.761-770
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    • 1991
  • This paper suggests a measure constraint locus for characterization of the performance of a subtask for a redundant robot. The measure constraint locus are the loci of points satisfying the necessary constraint for optimality of measure in the joint configuration space. To uniquely obtain an inverse kinematic solution, one must consider both measure constraint locus and self-motion manifolds which are set of homogeneous solutions. Using measure constraint locus for maniqulability measure, the invertible workspace without singularities and the topological property of the configuration space for linding equilibrium configurations are analyzed. We discuss some limitations based on the topological arguments of measure constraint locus, of the inverse kinematic algorithm for a cyclic task. And the inverse kinematic algorithm using global maxima on self-motion manifolds is proposed and its property is studied.

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Homogeneously Dispersed Silver Nanoparticles on the Honeycomb-Patterned Poly(N-vinylcarbazole)-cellulose triacetate Composite Thin Films by the Photoreduction of Silver Nitrate

  • Kim, Kwang Il;Basavaraja, C.;Huh, Do Sung
    • Bulletin of the Korean Chemical Society
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    • v.34 no.5
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    • pp.1391-1396
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    • 2013
  • The photocontrolled reduction of silver nitrate to silver (Ag) nanoparticles on honeycomb-patterned poly(N-vinylcarbazole) (PVK)-cellulose triacetate (CTA) composite thin films was studied. The composites were prepared via the oxidative polymerization of N-vinylcarbazole with ferric chloride using different CTA concentrations. A honeycomb-patterned film was fabricated by casting the composite solution under humid conditions. Ag particles with a homogeneous distribution were produced by the composite film in a moderate CTA concentration, whereas aggregated Ag was obtained from the pure PVK film.

Proteome Analysis of Amniotic Fluid by gradient 2-D PAGI (Gradient 2-D PAGE를 이용한 양수 프로테옴 분석)

  • 이은희;김재찬;변상요
    • KSBB Journal
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    • v.18 no.1
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    • pp.35-38
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    • 2003
  • Analysis of proteome in amniotic fluid was performed by 2-D PAGE (polyacrylamide gel electrophoresis). Proteins in amniotic fluid were separated by centrifugation and solubilized in buffer solution for IEF, using an IPG strip of pH 4-7L. Both a homogeneous slab gel of 12.5% and a gradient gel of 8-18%, were used. After 2-D PAGE, spots were stained with silver nitrate and picked up for in-gel digestion. Digested peptides were analyzed by MALDI-TOF and proteins were further identifical. More protein spots were detected in the gradient gels and a protein not previously reported was identified.