• Title/Summary/Keyword: Upper-lower solutions

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The investigation crack problem through numerical analysis

  • Yaylaci, Murat
    • Structural Engineering and Mechanics
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    • v.57 no.6
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    • pp.1143-1156
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    • 2016
  • This paper presents a comparative study of finite element method (FEM) and analytical method for the plane problem of a layered composite containing an internal perpendicular crack in literature. The layered composite consists of two elastic layers having different elastic constants and heights. External load is applied to the upper elastic layer by means o a rigid punch and the lower elastic layer rests on two simple supports. Numerical simulations are realized by the world wide code ANYS software. Two dimensional analysis of the problem is carried out and the results are verified by comparison with solutions reported in literature. Main goal of the numerical simulation is to investigate the normal stress ${\sigma}_x$(0, y), stress intensity factors at the crack factor and the crack opening displacements.

Study on the porosity formation in the lap joint CW Nd:YAG laser welds of 6K21 aluminum alloy sheet (6K21 알루미늄 판재의 레이저 겹치기 용접 시 발생하는 기공에 관한 연구)

  • Yang, Hyun-Seok;Lee, Kyoung-Don;Kim, Yong;Park, Ki-Young
    • Laser Solutions
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    • v.11 no.3
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    • pp.16-20
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    • 2008
  • The lap Joint welding of 6K21 aluminum sheets by Nd:YAG laser were performed with an aluminum 5183 filler wire or without a filler wire. The porosity of laser welding beads were observed through an optical microscope and X-ray photography with various levels of welding speed and gap size. The porosity was observed in the gap between upper and lower sheet near a heat affected zone when autogenous welding. Decrease of welding speed and use of AA5183 filler wire reduced porosity significantly.

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A Branch and Bound Algorithm for Two-Stage Hybrid Flow Shop Scheduling : Minimizing the Number of Tardy Jobs (2단계 혼합흐름공정에서 납기 지연 작업수의 최소화를 위한 분지한계 알고리듬)

  • Choi, Hyun-Seon;Lee, Dong-Ho
    • Journal of Korean Institute of Industrial Engineers
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    • v.33 no.2
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    • pp.213-220
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    • 2007
  • This paper considers a two-stage hybrid flow shop scheduling problem for the objective of minimizing the number of tardy jobs. Each job is processed through the two production stages in stages, each of which has multiple identical parallel machines. The problem is to determine the allocation and sequence of jobs at each stage. A branch and bound algorithm that gives the optimal solutions is suggested that incorporates the methods to obtain the lower and upper bounds. Dominance properties are also suggested to reduce the search space. To show the performance of the algorithm, computational experiments are done on randomly generated problems, and the results are reported.

DYNAMICAL BEHAVIOR OF A HARVEST SINGLE SPECIES MODEL ON GROWING HABITAT

  • Ling, Zhi;Zhang, Lai
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.5
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    • pp.1357-1368
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    • 2014
  • This paper is concerned with a reaction-diffusion single species model with harvesting on n-dimensional isotropically growing domain. The model on growing domain is derived and the corresponding comparison principle is proved. The asymptotic behavior of the solution to the problem is obtained by using the method of upper and lower solutions. The results show that the growth of domain takes a positive effect on the asymptotic stability of positive steady state solution while it takes a negative effect on the asymptotic stability of the trivial solution, but the effect of the harvesting rate is opposite. The analytical findings are validated with the numerical simulations.

3-D Numerical Analysis on a low Reynolds Number Mixed Convection in a Horizontal Rectangular Channel (수평 사각채널 내 저 레놀즈수 혼합대류 유동의 3차원 수치해석)

  • Piao, Ri-Long;Bae, Dae-Seok
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2005.06a
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    • pp.210-215
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    • 2005
  • A three-dimensional numerical simulation is performed to investigate on a low Reynolds number mixed convection in a horizontal rectangular channel with the upper part cooled and the lower part heated uniformly. The three-dimensional governing equations are solved using a finite volume method. For convective term, the central differencing scheme is used and for the pressure correction, the PISO algorithm is used. Solutions are obtained for A=4, Pr=0.72, 10, 909, the Reynolds number ranging from $2.1{\times}10^{-2}$ to $1.2{\times}10^{-1}$, the Rayleigh number is $3.5{\times}10^4$. It is found that vortex roll structures of mixed convection in horizontal rectangular channel can be classified into three roll structures which affected by Prandtl number and Reynolds number.

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Hierarchical Optimal Control of Non-linear Systems using Fast Walsh Transform (FWT를 이용한 비선형계의 계층별 최적제어)

  • Jeong, Je-Uk;Jo, Yeong-Ho;Im, Guk-Hyeon;An, Du-Su
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.8
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    • pp.415-422
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    • 2000
  • This paper presents a new algorithm for hierarchical optimal control of nonlinear systems. The proposed method is simple because the solutions are obtained by only exchanging informations of coefficient vector based on interaction prediction principle and FWT(fast Walsh transform) in upper and lower level. Since we solve two point boundary problem with Picard's iterative method and the backward integral operational matrix of Walsh function to obtain the optimal vector of each independent subsystem, the algorithm is simple and its operation is fast without inverse matrix and kronecker product operation. In simulation, the proposed algorithm's usefulness is proved by comparison with the global optimal control methods.

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Well-Defined Thermoresponsive Copolymers with Tunable LCST and UCST in Water

  • Jung, Seo-Hyun;Lee, Hyung-Il
    • Bulletin of the Korean Chemical Society
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    • v.35 no.2
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    • pp.501-504
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    • 2014
  • A thermoresponsive polymer, poly(2-(dimethylamino)ethyl methacrylate) (PDMAEMA), was successfully synthesized by atom transfer radical polymerization (ATRP). Different amounts of 1,3-propanesultone were used as quaternization agent to transit the PDMAEMA into partially modified poly(zwitterions), resulting in p[DMAEMA-co-3-dimethyl(methacryloyloxyethyl)ammonium propanesulfonate] (PDMAEMA-co-PDMAPS). Molecular weight, molecular weight distribution, and degree of quarternization were determined by gel permeation chromatography (GPC) and 1H NMR spectroscopy. The transmission spectra of the 1.0 wt % aqueous solutions of the resulting polymers at 650 nm were measured as a function of temperature. Results showed that the lower critical solution temperature (LCST) and the upper critical solution temperature (UCST) could be easily controlled by the different composition of dimethylamino and zwitterion groups. The effect of partial quaternization on thermoresponsive properties was also studied by dynamic light scattering (DLS) with the same aqueous concentration (1.0 wt %) as employed for turbidimetry studies. The LCST and UCST values measured by DLS correlated well with those determined by turbidimetry.

BPN Based Approximate Optimization for Constraint Feasibility (구속조건의 가용성을 보장하는 신경망기반 근사최적설계)

  • Lee, Jong-Soo;Jeong, Hee-Seok;Kwak, No-Sung
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.141-144
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    • 2007
  • Given a number of training data, a traditional BPN is normally trained by minimizing the absolute difference between target outputs and approximate outputs. When BPN is used as a meta-model for inequality constraint function, approximate optimal solutions are sometimes actually infeasible in a case where they are active at the constraint boundary. The paper describes the development of the efficient BPN based meta-model that enhances the constraint feasibility of approximate optimal solution. The modified BPN based meta-model is obtained by including the decision condition between lower/upper bounds of a constraint and an approximate value. The proposed approach is verified through a simple mathematical function and a ten-bar planar truss problem.

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Experimental Study of Close-Contact Melting of Phase-Change Medium Partially Filled in a Horizontal Cylinder (수평원관내 부분적으로 채원진 상변화물질의 융해과정)

  • 서정세;노승탁
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.9
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    • pp.2249-2260
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    • 1995
  • An experiment of close contact melting of phase-change medium partially filled in an isothermally heated horizontal cylinder is performed which involves the volume expansion of liquid induced by the solid-liquid density difference. The solid-liquid interface motion and the free surface behavior of liquid were reported photographically. The experimental results show that the curvature of upper solid-liquid interface varied to flat as melting progresses. In addition to the varying interface shape, the melting rate increases with the lower initial height of solid and the free surface height of liquid increases linearly. The experimental results of molten mass fraction were expressed in a function of dimensionless time Fo.Ste$^{3}$4/ and agreed well with the analytical solutions.

A study on the Ferroelectric Properties of PZT(10/90)/(90/10) Heterolayered Thin Films (PZT(10/90)/(90/10)이종층 박막의 강유전특성에 관한 연구)

  • 김경태;박인길;이성갑;이영희
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1999.05a
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    • pp.109-112
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    • 1999
  • The PZT(10/90)/(90/17) heterolayered thin films were fabricated by the spin-coaling on the Pt/Ti/SiO$_2$/Si substrate using the PZT(10/90) and PZT(70/10) metal alkoxide solutions. The effect of heterolayered thin films on the ferroelectrics and electrical properties have been investigated. The lower PZT layers provided the nucleation site for the formation of a perovskite phase of the upper PZT films. Dielectric constant increased with increasing the number of coatings, and it was about 569.9 at PZT-6 heterolayered films.

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