• Title/Summary/Keyword: Solution Technique

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A GENERAL MULTIPLE-TIME-SCALE METHOD FOR SOLVING AN n-TH ORDER WEAKLY NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING

  • Azad, M. Abul Kalam;Alam, M. Shamsul;Rahman, M. Saifur;Sarker, Bimolendu Shekhar
    • Communications of the Korean Mathematical Society
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    • v.26 no.4
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    • pp.695-708
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    • 2011
  • Based on the multiple-time-scale (MTS) method, a general formula has been presented for solving an n-th, n = 2, 3, ${\ldots}$, order ordinary differential equation with strong linear damping forces. Like the solution of the unified Krylov-Bogoliubov-Mitropolskii (KBM) method or the general Struble's method, the new solution covers the un-damped, under-damped and over-damped cases. The solutions are identical to those obtained by the unified KBM method and the general Struble's method. The technique is a new form of the classical MTS method. The formulation as well as the determination of the solution from the derived formula is very simple. The method is illustrated by several examples. The general MTS solution reduces to its classical form when the real parts of eigen-values of the unperturbed equation vanish.

Development of an Efficient Solution Method for the Wilson's Trip Distribution Model (엔트로피 극대화 통행배분모형의 효율적 해법 개발)

  • 노정현
    • Journal of Korean Society of Transportation
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    • v.9 no.2
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    • pp.121-126
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    • 1991
  • Wilson made an importent contribution to develop a trip distribution model with the general form of gravity model which is an entropy maximization program. Also Wilson suggested a technique which is called the "iterative balancing method" for soving the model. This te-chnique however is not stable to find solution because it is a heuristic method and sometimes does not converge to the correct solution. In this paper a new solution method using a numerical method for solving the non-linear simultaneous equation system is developed and evaluated in both computers VAX 8700 and PC/AT 286 The result of this method and Wilson's method are compared with each other. Wilson's method resulted in inferior solutions measured by the final norm of residuals.

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A Study on the Glass Strengthened in Salt Solution by Chemical Ion Exchange (염 용액에서의 화학적 이온교환 강화유리에 관한 연구)

  • 이종근;김인섭
    • Journal of the Korean Ceramic Society
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    • v.24 no.4
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    • pp.335-342
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    • 1987
  • There were several numbers of studies on chemically strengthening glass. Most of them were strengthened in molten salt bath below transformation range of glass. Apart from them, this study used solution hydration technique by Autoclave. After determining proper concentration of AgNO3 salt solution, experimental condition varied from 4hrs to 16hrs at relatively low temperature (180, 200, 220$^{\circ}C$). The results showed that the Soda-Lime-Silica glass could be strengthened by diffusion mechanism without influence of water above 15% salt solution. Because of Ag+ ion penetration in glass surface, yellow color appeared and decreased transmittance at visible range. Modulus of rupture was increased with the amount of exchange and brittleness was decreased.

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A Study on the Drawing of Strip by Upper Bound Elemental Technique (상계요소법에 의한 판재 인발공정에 관한 연구)

  • Hur, K.D.;Choi, Y.;Choi, I.K.
    • Transactions of Materials Processing
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    • v.12 no.1
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    • pp.11-17
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    • 2003
  • For metal forming analysis, upper-bound solution is a practical method because the solution is overestimated. However it is not easy to determine the stresses on dies by using upper-bound solution. In this study, new scheme to calculate the stresses on dies based on upper bound solution is proposed. In the velocity fields, imaginary velocity is adapted to analyze the normal pressure on die surfaces. To verify the proposed scheme. plane strain drawing has been considered. The stresses on dies obtained by the proposed scheme are compared with the results of rigid plastic FEM and the experimental results. In the experiments, pressure film is used to measure the normal pressure on dies.

Development of Pareto-Optimal Technique for Generation Planning According to Environmental Characteristics in term (환경특성을 반영한 급전계획의 파레토 최적화기법 개발)

  • Lee, Buhm;Kim, Yong-ha;Choi, Sang-kyu
    • Journal of Energy Engineering
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    • v.13 no.2
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    • pp.128-132
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    • 2004
  • This paper presents a new methodology to get pareto-optimal solution for generation planning. First, we apply dynamic programming, and we can get an optimal economic dispatch considering total quantity of contamination for the specified term. Second, we developed a method which can get pareto-optimal solution. This solution is consisted of a set of optimal generation planning. As a result, decision maker can get pareto-optimal solutions, and can choose a solution. We applied this method to the test system, and showed the usefulness.

DUAL REGULARIZED TOTAL LEAST SQUARES SOLUTION FROM TWO-PARAMETER TRUST-REGION ALGORITHM

  • Lee, Geunseop
    • Journal of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.613-626
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    • 2017
  • For the overdetermined linear system, when both the data matrix and the observed data are contaminated by noise, Total Least Squares method is an appropriate approach. Since an ill-conditioned data matrix with noise causes a large perturbation in the solution, some kind of regularization technique is required to filter out such noise. In this paper, we consider a Dual regularized Total Least Squares problem. Unlike the Tikhonov regularization which constrains the size of the solution, a Dual regularized Total Least Squares problem considers two constraints; one constrains the size of the error in the data matrix, the other constrains the size of the error in the observed data. Our method derives two nonlinear equations to construct the iterative method. However, since the Jacobian matrix of two nonlinear equations is not guaranteed to be nonsingular, we adopt a trust-region based iteration method to obtain the solution.

A novel solution for thick-walled cylinders made of functionally graded materials

  • Chen, Y.Z.
    • Smart Structures and Systems
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    • v.15 no.6
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    • pp.1503-1520
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    • 2015
  • This paper provides a novel solution for thick-walled cylinders made of functionally graded materials (FGMs). In the formulation, the cylinder is divided into N layers. On the individual layer, the Young's modulus is assumed to be a constant. For an individual layer, two undetermined constants are involved in the elastic solution. Those undetermined coefficients can be evaluated from the continuation condition along interfaces of layers and the boundary conditions at the inner surface and outer surface of cylinder. Finally, the solution for thick-walled cylinders made of functionally graded materials is obtainable. This paper provides several numerical examples which are useful for engineer to design a cylinder made of FGMs.

A Study on the Subcritical Crack Growth and the Life Prediction for Sintered Silicon Carbide (소결탄화규소의 완속균열성장 및 수명예측에 관한 연구)

  • 한원식;김영욱;이상호;장감용;이준근
    • Journal of the Korean Ceramic Society
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    • v.22 no.4
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    • pp.26-32
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    • 1985
  • The subcritical crack growth of sintered SiC is investigated under various corrosive atmospheres such as distilled water Murakami solution and saturated KOH solution. The KI-V diagrams are obtained by the load relaxation method and incremental displacement rate method using the double torsion technique. The obtained fracture mechanics parameters (n) of sintered SiC are 79 in Murakami solution and 39 in saturated KOH solution. These data indicate that the subcritical crack growth of sintered SiC is taking place in these two conditions and the stress-corrosion cracking is suggested to be the mechanism. With these KI-V diagrams the life of sintered SiC in these conditions is predicted.

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Integration of solution-processed polymer thin-film transistors for reflective liquid crystal applications

  • Kim, Sung-Jin;Kim, Min-Hoi;Suh, Min-Chul;Mo, Yeon-Gon;Chang, Seung-Wook;Lee, Sin-Doo
    • Journal of Information Display
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    • v.12 no.4
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    • pp.205-208
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    • 2011
  • Herein, the integration of solution-processed polymer thin-film transistors (TFTs) that were fabricated using selective wettability through ultraviolet (UV) exposure into a reflective liquid crystal display is demonstrated. From the experimental results of energy-dispersive spectroscopy, the composition of carbon and fluorine enhancing the hydrophobicity in the polymer chains was found to play a critical role in the wetting selectivity upon UV exposure. The polymer TFTs fabricated through the wettability-patterning process exhibited long-term stability and reliability. This wetting-selectivity-based patterning technique will be useful for constructing different types of solution-processed electronic and optoelectronic devices.

A Study of the Effect of Fluoride to Dental Hard Tissue (불소가 치아 경조직에 미치는 영향에 관한 연구)

  • 이승우
    • Journal of Oral Medicine and Pain
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    • v.5 no.1
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    • pp.1-4
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    • 1980
  • Caries free anterior teeth were rinsed for 10 minutes with 1%, 5% sodium fluoride and 1% stannous fluoride solution three times a day for the period of experiment. And the author measured the concentration of enamel fluoride by means of Mc Cann's Technique. And the results were as follows : 1. There were little difference of enamel fluoride concentration between the teeth treated with 5% sodium fluoride solution. 2. The enamel fluoride concentration shows a tendency of direct proportion in lower concentration of fluoride solution for the period of 10 days. 3. The Enamel fluoride concentration in the group treated with stannous fluoride solution reveals acute elevation in the 5th day of experiment but the trend was not direct proportional in the 10th day of experiment.

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