• Title/Summary/Keyword: Boundary value technique

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MASS CODES OF MOLECULAR CLOUDS WITH IN IRAF

  • Lee, Young-Ung
    • Publications of The Korean Astronomical Society
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    • v.9 no.1
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    • pp.39-54
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    • 1994
  • We present two codes which estimates virial mass and LTE mass using IMFORT interface within IRAF (Image Reduction and Analysis Facility). It is discussed that threshold value (temperature or CO integrated intensity), which defines a reasonable cloud boundary and size, is the most important parameter determining accurate results. Several virial masses are to be obtained using the vir task, as well as three velocity dispersions including the centroid velocity dispersion, a turbulence indicator. LTE mass is to be estimated by using task lte as well as three by-product images. The $^{13}CO$ abundance and threshold temperature of $^{13}CO$ and $^{12}CO$ peak temperatures are the most critical parameters in LTE technique.

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Determination of the location of fixture elements using the strain energy (변형 에너지를 고려한 치구 위치의 선정)

  • 기동우;이건우;정진평
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.548-554
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    • 1996
  • A new method to locate modular fixtures using an optimization technique is proposed. The optimal fixture arrangement is derived to minimize the elastic deformation of a workpiece. That is, a fixture arrangement is regarded better if it minimized the elastic deformation of the workpiece while fixing a workpart of course. In this approach, the workpiece is projected into two dimensional domain to simplify the 3-dimensional fixture arrangement problem into 2-dimensional one. Thus the problem is reduced to find the optimal positions of one horizontal clamp and three locators which minimize the total deformation of the workpiece and the design variables are the location of the contact points between the boundary of the workpiece and the 4-fixels. The Genetic Algorithm is used for the optimization by mapping each design variables to a gene of a chromosome. The fitness value is the total strain energy of the workpiece calculated by the fin element analysis.

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Safety Evaluation for Restoration Process on Plastic Deformed Cylindrical Beam (소성변형된 실린더형 빔의 복원 안전성 평가)

  • Park Chi-Yong;Boo Myung-hwan
    • Journal of the Korean Society of Safety
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    • v.20 no.1 s.69
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    • pp.7-12
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    • 2005
  • In heavy industrial fields such as power plant and chemical plant, it is often necessary to restore a damaged part of large machinery or structure which is installed in the hazard working place. In this paper, to evaluate the safety of plastic deformed cylindrical beam a finite element technique has been used. The variations of residual stresses on the process of damaging and restoring for surfaces and cross-sections have been examined. The results show that the maximum von Mises stresses occur outer cylinder surfaces of boundary between cylindrical beam support md cylindrical beam when deformation procedure and restoring force is applied. The maximum residual stress remains 158.6MPa in the inner wall and this value correspond to $53\%$ of yield stress then restoration procedure is finished.

Transient response of a piezoelectric layer with a penny-shaped crack under electromechanical impacts

  • Feng, Wenjie;Li, Yansong;Ren, DeLiang
    • Structural Engineering and Mechanics
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    • v.23 no.2
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    • pp.163-175
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    • 2006
  • In this paper, the dynamic response of a piezoelectric layer with a penny-shaped crack is investigated. The piezoelectric layer is subjected to an axisymmetrical action of both mechanical and electrical impacts. Two kinds of crack surface conditions, i.e., electrically impermeable and electrically permeable, are adopted. Based upon integral transform technique, the crack boundary value problem is reduced to a system of Fredholm integral equations in the Laplace transform domain. By making use of numerical Laplace inversion the time-dependent dynamic stress and electric displacement intensity factors are obtained, and the dynamic energy release rate is further derived. Numerical results are plotted to show the effects of both the piezoelectric layer thickness and the electrical impact loadings on the dynamic fracture behaviors of the crack tips.

Thickness Measurements of the Base Concrete by the Impact-Resonance Test (탄성파 충격공지법에 의한 기초 콘크리트의 두께 측정)

  • 김영환;이세경;김호철
    • Magazine of the Korea Concrete Institute
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    • v.3 no.3
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    • pp.121-128
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    • 1991
  • Thicknesses of the hase concrete blocks supportmg large machmes were estimated by analyzing the res- 0 ¬nance modes of mechanical Vibrations The vibration was produced by the mechanical impact with steel ball drop and detected by a wideband comcal piezoelectric transducei. The detected signals were analyzed by FFT and thicknesses of specimen were determined by the resonant frequency of vibratIon. For the layered concrete block, the estimated thickness is dependent on the acoustic reflective index at the boundary between layers. The estimated thickness up to 100em were in goo:l agreement with the real value. In additlOn. this technique could be applicable to the estimation of the bondmg status of the layered structures.

A Boundary Value Solution For The Lateral Modes Of Stripe Geometry GaAs-(Ga,Al)As Lasers (스트라이프 구조 GaAs-(Ga, Al)As 반도체 레이저의 횡모우드에 대한 경계치 해석)

  • Yoon, Jong-Wook;Yoon, Seok-Beom;Kwon, Jae-Sang;Oh, Han-Sool;Kim, Yung-Kwon
    • Proceedings of the KIEE Conference
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    • 1987.07a
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    • pp.34-37
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    • 1987
  • Theoretical calculations are presented for analying lateral modes of stripe geometry lasers. The solution technique affords a matching between the fields of the active layer and those of the surrounding passive layer. The fields are written as a liner combination of Hermite-Gaussian function. Therefore fields have been described with a single H - G function. The lowest-order mode spreading is calculated and related to the gain distribution.

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On snap-buckling of FG-CNTR curved nanobeams considering surface effects

  • Zhang, Yuan Yuan;Wang, Yu X.;Zhang, Xin;Shen, Huo M.;She, Gui-Lin
    • Steel and Composite Structures
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    • v.38 no.3
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    • pp.293-304
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    • 2021
  • The aim of this paper is to analyze the nonlinear bending of functionally graded (FG) curved nanobeams reinforced by carbon nanotubes (CNTs) in thermal environment. Chen-Yao's surface elastic theory and geometric nonlinearity are also considered. The nanobeams are subjected to uniform loadings and placed on three-parameter substrates. The Euler-Lagrange equations are employed to deduce the equations of equilibrium. Then, the asymptotic solutions and boundary value problems are analytically determined by utilizing the two-step perturbation technique. Finally, the effects of the surface parameters, geometric factors, foundation stiffness, volume fraction, thermal effects and layout type of CNTs on the nonlinear bending of the nanobeams are discussed.

Controlling of ring based structure of rotating FG shell: Frequency distribution

  • Hussain, Muzamal
    • Advances in concrete construction
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    • v.14 no.1
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    • pp.35-43
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    • 2022
  • Based on novel Galerkin's technique, the theoretical study gives a prediction to estimate the vibrations of FG rotating cylindrical shell. Terms of ring supports have been introduced by a polynomial function. Three different laws of volume fraction are utilized for the vibration of cylindrical shells. Variation frequencies with the locations of ring supports have been analyzed and these ring supports are placed round the circumferential direction. The base of this approach is an approximate estimation of eigenvalues of proper functions which are the results of solutions of vibrating equation. Each longitudinal wave number corresponds to a particular boundary condition. The results are given in tabular and graphical forms. By increasing different value of height-to-radius ratio, the resulting backward and forward frequencies increase and frequencies decrease on increasing length-to-radius ratio. There is a new form of frequencies is obtained for different positions of ring supports, which is bell shaped. Moreover, on increasing the rotating speed, the backward frequencies increases and forward frequencies decreases.

Numerical Solution of Nonlinear Diffusion in One Dimensional Porous Medium Using Hybrid SOR Method

  • Jackel Vui Lung, Chew;Elayaraja, Aruchunan;Andang, Sunarto;Jumat, Sulaiman
    • Kyungpook Mathematical Journal
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    • v.62 no.4
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    • pp.699-713
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    • 2022
  • This paper proposes a hybrid successive over-relaxation iterative method for the numerical solution of a nonlinear diffusion in a one-dimensional porous medium. The considered mathematical model is discretized using a computational complexity reduction scheme called half-sweep finite differences. The local truncation error and the analysis of the stability of the scheme are discussed. The proposed iterative method, which uses explicit group technique and modified successive over-relaxation, is formulated systematically. This method improves the efficiency of obtaining the solution in terms of total iterations and program elapsed time. The accuracy of the proposed method, which is measured using the magnitude of absolute errors, is promising. Numerical convergence tests of the proposed method are also provided. Some numerical experiments are delivered using initial-boundary value problems to show the superiority of the proposed method against some existing numerical methods.

EXISTENCE AND MULTIPLICITY OF SOLUTIONS OF p(x)-TRIHARMONIC PROBLEM

  • Belakhdar, Adnane;Belaouidel, Hassan;Filali, Mohammed;Tsouli, Najib
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.2
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    • pp.349-361
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    • 2022
  • In this paper, we study the following nonlinear problem: $$\{-\Delta_{p}^{3}(x)u\;=\;{\lambda}V_{1}(x){\mid}u{\mid}^{q(x)-2}u\;in\;{\Omega},\\u\;=\;{\Delta}u\;{\Delta}^{2}u\;=\;0\;on\;{\partial}\Omega, $$ under adequate conditions on the exponent functions p, q and the weight function V1. We prove the existence and nonexistence of eigenvalues for p(x)-triharmonic problem with Navier boundary value conditions on a bounded domain in ℝN. Our technique is based on variational approaches and the theory of variable exponent Lebesgue spaces.