• Title/Summary/Keyword: Homogeneous Solution

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Coupled flexural and torsional vibration of channel beam (휨과 비틀림이 연계된 채널보의 진동)

  • 김상환
    • Journal of KSNVE
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    • v.5 no.3
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    • pp.327-335
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    • 1995
  • The study deals with the vibration of a beam whose flexural and centroidal axes are not coincident. The elementary bending-twisting theory is employed to derive the equation of motion, in which the effects of rotary inertia are added to the bending displacements and the effects of warping are added to the twist. Bending translation is restricted to one direction so that one bending equation is used instead of two. The equations of motion are solved by using the boundary value problem. The exact natural frequencies are fund from the frequency equation, which is obtained from the condition that the homogeneous system of algebraic equations representing the spatial solution shall not yield a trivial solution. The orthogonal conditions are established, and the principal mode equations of forced vibration are derived. As an example, the cantilevered beam is chosen and the first some natural frequencies and their modal shapes are found.

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Application of the Boundary Element Method to Finite Deflection of Elastic Bending Plates

  • Kim, Chi Kyung
    • International Journal of Safety
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    • v.2 no.1
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    • pp.39-44
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    • 2003
  • The present study deals with an approximate integral equation approach to finite deflection of elastic plates with arbitrary plane form. An integral formulation leads to a system of boundary integral equations involving values of deflection, slope, bending moment and transverse shear force along the edge. The basic principles of the development of boundary element technique are reviewed. A computer program for solving for stresses and deflections in a isotropic, homogeneous, linear and elastic bending plate is developed. The fundamental solution of deflection and moment is employed in this program. The deflections and moments are assumed constant within the quadrilateral element. Numerical solutions for sample problems, obtained by the direct boundary element method, are presented and results are compared with known solutions.

Studies on the Protopectinase Produced by Verticillium sp. (Part 2) Purification and Properties of Protopectinase from Verticillium sp. (Verticillium sp. 가 생산하는 Protopectin 용해효소에 관한 연구 (제 2 보) 효소의 정제 및 성질)

  • 유주현;진효상;변유량;오두환
    • Microbiology and Biotechnology Letters
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    • v.10 no.3
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    • pp.197-203
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    • 1982
  • The protopectinase from the culture extract of a Verticillium sp. was purified about 1000 fold by ammonium sulfate fractionation, DEAE-Sephadex treatment and Sephadex G-75 column chromatography. The purified enzyme was homogeneous on electrophoresis and its molecular weight was estimated to be 38000 by Andrew's gel filtration, method. The enzyme was almost stable under the temperature of 4$0^{\circ}C$ and within the pH range of 3-5. Its optimum pH and temperature were 4 and 4$0^{\circ}C$, respectively. The activity was markedly inhibited by galacturonic acid. The purified enzyme was able to macerate various kinds of plant tissues, such as radish, cucumber, onion, carrot, and potato. It also reduced the viscosity of pectin solution more rapidly than that of pectic acid solution and showed no lyase or CMCase activity.

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Apatite Formation on Polythylene Modified with Silanols by Grafting of Vinyltrimethoxysilane and Subsequent Hydrolysis

  • Kokubo, Tadashi;Uenoyama, Mayo;Kim, Hyun-Min;Minoda, Masahiko;Miyamoto, Takeaki;Nakamura, Takashi
    • The Korean Journal of Ceramics
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    • v.5 no.3
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    • pp.265-269
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    • 1999
  • Polyethylene was modified with silanol groups on its surface by photografting of vinyltrimethoxysilane in vapor phase by using benzophenon as a polymerization initiator and by hydrolyzing the methoxysilane groups into the silanol groups with HCI solution. The modified polyethylene formed a dense and homogeneous apatite layer on its surface in a solution with ion concentrations 1.5 times those of human blood plasma within 21 days. This kind of biomimetic process could provide techniques for fabricating apatite-polymer composites with three dimensional structure analogous to the natural bone.

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A study on the solution of inverse jacobian for TOP-1 (TOP-1 로보트의 Inverse Jacobian의 해)

  • 우상래;이재섭;김형래
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.304-309
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    • 1986
  • This paper is about the Inverse Jacobian for the TOP-1 robot. The robot Jacobian is used for the movement in accordance with differental changes. A Matrix and Homogeneous Transformation Matrix, Differential Motion Vector D are applied to Jacobian equation for the movement of the robot in accordance with the minut changes. The solution of Jacobian equation is acquired and applied for the subtle movement of each arms of the robot. The interface with APPLE-II Micro-computer is searched out too. The Software and the interface resulted from this paper are considered to be higly useful in the accurate control on the robot when they are linked with dynamics of robot.

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The Study on the Tube Drawing Process with a Floating Plug (프로팅 프러그를 사용한 관재 인발가공에 관한 연구)

  • Choi, Jae-Chan;Jin, In-Tai
    • Journal of the Korean Society for Precision Engineering
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    • v.5 no.4
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    • pp.24-31
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    • 1988
  • The Upper Bound Solution has been used to investigate the effect of the various parameters on the floating-plug tube-drawing precess. A kinematically admissible velocity field considering the change of the tube thickness is proposed for the deformation process. Taking into account the position of the plug in the deforming region, shear energy at entrance and exit, friction energy on contact area, homogeneous energy are calculated. The theoretical values in proposed velocity field are good agreement with experimental values, It is investigated that the tube thickness in the deforming region is changed slightly toward minimization of deforming energy and then the drawing stress in lower than the crawing stress in the velocity field that the tube thickness is uniform.

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Development of Three Dimensional Groundwater Flow Program (3차원 지하수 흐름해석 프로그램 개발에 관한 연구)

  • 박준모;장연수;김홍석;이두화
    • Proceedings of the Korean Geotechical Society Conference
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    • 2001.03a
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    • pp.577-584
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    • 2001
  • For construction and design of tunnels, groundwater flow models are used to find the influence of groundwater to the stability of tunnels considering the geological condition around the tunnels and the materials used in tunnel linings. For the analysis of tunnel flow, some commercial programs, e.g. MODFLOW, SEEP/W etc., are used. These programs have limitations that MODFLOW could not define curved surface smoothly in three dimensional flow media and SEEP/W is the 2-dimensional flow model. In this paper, the ability of a finite element program developed for analyzing 3-dimensional groundwater flow is examined. Confined steady state groundwater flow solution in non-homogeneous media is obtained using isoparametric element with eight trilinear hexahedron nodes and is compared with the result of MODFLOW. It was found that the solution yielded a good result with the three dimensional flow studied.

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Epoxidized Polybutadiene as a Thermal Stabilizer for Poly(3-hydroxybutyrate). II. Thermal Stabilization of Poly(3-hydroxybutyrate) by Epoxidized Polybutadiene

  • Choi, Ju-Yol;Lee, Jong-Keun;You, Young;Park, Won-Ho
    • Fibers and Polymers
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    • v.4 no.4
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    • pp.195-198
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    • 2003
  • Epoxidized polybutadiene (EPB) was prepared by polybutadiene (PB) with m-chloroperbenzoic acid (MCPBA) in homogeneous solution. EPB was blended with poly(3-hydroxybutyrate) (PHB) up to 30 wt% by solution-precipitation procedure. The thermal decomposition of PHB/EPB blends was studied by thermogravimetric analysis (TGA), differential scanning calorimetry (DSC) and differential thermal analysis (DTA). The thermograms of PHB/EPB blends contained a two-step degradation process, while that of pure PHB sample exhibited only one-step degradation process. This degradation behavior of PHB/EPB blends, which have a higher thermal stability as measured by maximum decomposition temperature and residual weight, is probably due to crosslinking reactions of the epoxide groups in the EPB component with the carboxyl chain ends of PHB fragments during the degradation process, and the occurrence of such reactions can be assigned to the exothermic peaks in their DTA thermograms.

Hand/Eye calibration of Robot arms with a 3D visual sensing system (3차원 시각 센서를 탑재한로봇의 Hand/Eye 캘리브레이션)

  • 김민영;노영준;조형석;김재훈
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.76-76
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    • 2000
  • The calibration of the robot system with a visual sensor consists of robot, hand-to-eye, and sensor calibration. This paper describe a new technique for computing 3D position and orientation of a 3D sensor system relative to the end effect of a robot manipulator in an eye-on-hand robot configuration. When the 3D coordinates of the feature points at each robot movement and the relative robot motion between two robot movements are known, a homogeneous equation of the form AX : XB is derived. To solve for X uniquely, it is necessary to make two robot arm movements and form a system of two equation of the form: A$_1$X : XB$_1$ and A$_2$X = XB$_2$. A closed-form solution to this system of equations is developed and the constraints for solution existence are described in detail. Test results through a series of simulation show that this technique is simple, efficient, and accurate fur hand/eye calibration.

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A FINITE ELEMENT METHOD USING SINGULAR FUNCTIONS FOR HELMHOLTZ EQUATIONS: PART I

  • Kim, Seok-Chan;Pyo, Jae-Hong;Lee, Jong-Sik
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.1
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    • pp.13-23
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    • 2008
  • In [7, 8], they proposed a new singular function(NSF) method to compute singular solutions of Poisson equations on a polygonal domain with re-entrant angles. Singularities are eliminated and only the regular part of the solution that is in $H^2$ is computed. The stress intensity factor and the solution can be computed as a post processing step. This method was extended to the interface problem and Poisson equations with the mixed boundary condition. In this paper, we give NSF method for the Helmholtz equations ${\Delta}u+Ku=f$ with homogeneous Dirichlet boundary condition. Examples with a singular point are given with numerical results.

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