• 제목/요약/키워드: Homogeneous Solution

검색결과 561건 처리시간 0.022초

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
    • /
    • 제17권1호
    • /
    • pp.1-15
    • /
    • 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
    • /
    • 제3권3호
    • /
    • pp.109-112
    • /
    • 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.

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

  • 윤한흠;이갑수;한상을
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1999년도 가을 학술발표회 논문집
    • /
    • pp.395-402
    • /
    • 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.

  • PDF

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

  • 박정현;성재석;이상진
    • 한국세라믹학회지
    • /
    • 제31권1호
    • /
    • pp.31-38
    • /
    • 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.

  • PDF

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
    • /
    • 제23권1호
    • /
    • pp.59-73
    • /
    • 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
    • /
    • 제20권3호
    • /
    • pp.267-273
    • /
    • 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.

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

  • 윤희택;김문영;김용기
    • 한국철도학회:학술대회논문집
    • /
    • 한국철도학회 2005년도 추계학술대회 논문집
    • /
    • pp.1165-1170
    • /
    • 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.

  • PDF

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

  • 최병욱;원종화;정명진
    • 전자공학회논문지B
    • /
    • 제28B권10호
    • /
    • pp.761-770
    • /
    • 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.

  • PDF

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
    • /
    • 제34권5호
    • /
    • pp.1391-1396
    • /
    • 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.

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

  • 이은희;김재찬;변상요
    • KSBB Journal
    • /
    • 제18권1호
    • /
    • pp.35-38
    • /
    • 2003
  • 양수 내에 존재하는 총 단백질을 이차원 전기영동을 이용하여 분리 분석하였고, gradient gel을 이용하여 양수 내에 소량으로 존재하는 미세 단백질까지 분리하였다. 양수 내에는 고농도로 존재하는 단백질이 있는데 이것이 serum albumin precursor임을 확인하였고, 8-18% gradient gel의 이용으로 분해능(resolution)이 향상되어 미세 단백질을 분리 분석할 수 있었다. 이차원 전기영동 후 MALDI-TOF를 이용하여 단백질을 identification하여 기존의 양수 protein database에 존재하는 단백질을 확인하였고, 존재하지 않는 새로운 단백질을 분리 분석하였다.