• 제목/요약/키워드: Initial Solution

검색결과 2,473건 처리시간 0.031초

크림프를 가진 섬유 캔틸레버의 대변형의 일래스티카 해 (Elastica Solution of Large Deformation of Fiber Cantilever with Crimped Shapes)

  • 정재호;강태진
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 춘계학술발표대회 논문집
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    • pp.102-105
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    • 2001
  • In this paper, the solution of two dimensional deflection of circular wavy elastica beam was obtained for one end clamped boundary and concentrated load condition. The beam was regarded as a linear elastic material. Wavy shape was described as a combination of half-circular arc smoothly connected each other with constant curvature of all the same magnitude and alternative sign. Also load direction was taken into account. As a result, the solution was expressed in terms of a series of integral equations. While we found the exact solutions and expressed them in terms of elliptic integrals, the recursive ignition formulae about the displacement and arc length at each segment of circular section were obtained. Algorithm of determining unknown parameters was established and the profile curve of deflected beam was shown compared with initial shape.

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순간 누출된 액체의 확산에 관한 2차 섭동 해 (Second-Order Perturbation Solutions of Liquid Pool Spreading with Instantaneous Spill)

  • 김명배;도규형;한용식;최병일
    • 한국수소및신에너지학회논문집
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    • 제21권6호
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    • pp.513-518
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    • 2010
  • In the present work the second-order perturbation solutions of the simple physical model for liquid pool spreading is obtained for the case of instantaneous spill. To generalize the solution governing equations are non-dimensionalized, and two dimensionless parameters, dimensionless evaporation rate and aspect ratio of the initial pool, are identified to control the governing equations. The dimensional governing equations have three parameters. The second-order solution improves fairly the first-order solution for the pool volume.

APPROXIMATIONS OF SOLUTIONS FOR A NONLOCAL FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH DEVIATED ARGUMENT

  • CHADHA, ALKA;PANDEY, DWIJENDRA N.
    • Journal of applied mathematics & informatics
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    • 제33권5_6호
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    • pp.699-721
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    • 2015
  • This paper investigates the existence of mild solution for a fractional integro-differential equations with a deviating argument and nonlocal initial condition in an arbitrary separable Hilbert space H via technique of approximations. We obtain an associated integral equation and then consider a sequence of approximate integral equations obtained by the projection of considered associated nonlocal fractional integral equation onto finite dimensional space. The existence and uniqueness of solutions to each approximate integral equation is obtained by virtue of the analytic semigroup theory via Banach fixed point theorem. Next we demonstrate the convergence of the solutions of the approximate integral equations to the solution of the associated integral equation. We consider the Faedo-Galerkin approximation of the solution and demonstrate some convergenceresults. An example is also given to illustrate the abstract theory.

Cell Cycle Regulation in the Budding Yeast

  • Nguyen, Cuong;Yoon, Chang-No;Han, Seung-Kee
    • 한국생물정보학회:학술대회논문집
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    • 한국생물정보시스템생물학회 2005년도 BIOINFO 2005
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    • pp.278-283
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    • 2005
  • Cell cycle is regulated cooperatively by several genes. The dynamic regulatory mechanism of protein interaction network of cell cycle will be presented taking the budding yeast as a sample system. Based on the mathematical model developed by Chen et at. (MBC, 11,369), at first, the dynamic role of the feedback loops is investigated. Secondly, using a bifurcation diagram, dynamic analysis of the cell cycle regulation is illustrated. The bifurcation diagram is a kind of ‘dynamic road map’ with stable and unstable solutions. On the map, a stable solution denotes a ‘road’ attracting the state and an unstable solution ‘a repelling road’ The ‘START’ transition, the initiation of the cell cycle, occurs at the point where the dynamic road changes from a fixed point to an oscillatory solution. The 'FINISH' transition, the completion of a cell cycle, is returning back to the initial state. The bifurcation analysis for the mutants could be used uncovering the role of proteins in the cell cycle regulation network.

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NUMERICAL SIMULATION OF PLASTIC FLOW BY FINITE ELEMENT LIMIT ANALYSIS

  • Hoon-Huh;Yang, Wei-H.
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1992년도 춘계학술대회 논문집 92
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    • pp.159-176
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    • 1992
  • Limit analysis has been rendered versatile in many problems such as structural problems and metal forming problems. In metal forming analysis, a slip-line method and an upper bound method approach to limit solutions is considered as the most challenging areas. In the present work, a general algorithm for limit solutions of plastic flow is developed with the use of finite element limit analysis. The algorithm deals with a generalized Holder inequality, a duality theorem, and a combined smoothing and successive approximation in addition to a general procedure for finite element analysis. The algorithm is robust such that from any initial trial solution, the first iteration falls into a convex set which contains the exact solution(s) of the problem. The idea of the algorithm for limit solution is extended from rigid/perfectly-plastic materials to work-hardening materials by the nature of the limit formulation, which is also robust with numerically stable convergence and highly efficient computing time.

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강소성 유한요소해석에서 해의 수렴 가속화에 관한 연구 (A Study on the Acceleration of the Solution Convergence for the Rigid Plastic FEM)

  • 최영
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2004년도 추계학술대회 논문집
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    • pp.347-350
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    • 2004
  • In this paper, the acceleration is studied for the rigid-plastic FEM of metal forming simulation. In the FEM, the direct iteration and Newton-Raphson iteration are applied to obtain the initial solution and accurate solution respectively. In general, the acceleration scheme for the direct iteration is not used. In this paper, an Aitken accelerator is applied to the direct iteration. In the modified Newton-Raphson iteration, the step length or the deceleration coefficient is used for the fast and robust convergence. The step length can be determined by using the accelerator. The numerical experiments have been performed for the comparisons. The faster convergence is obtained with the acceleration in the direct and Newton-Raphson iterations.

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TRIZ 와 브레인스토밍의 연계 방법을 이용한 유리병 부식 장치 홀더 설계 (Holder Design for Bottle Etching Machine using TRIZ and Brainstorming)

  • 서승우;박강
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2004년도 추계학술대회 논문집
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    • pp.958-964
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    • 2004
  • Most of people who are engaged in research and development find it difficult to solve the engineering problems creatively due to the lack of ideas. There are two famous methods for inventive problem solving: 'Brainstorming' and 'TRIZ'. Brainstorming is the most popular tool until now to find a creative solution and TRIZ is not so popular yet but leads us to a very useful and clear solution. These two methods whose goals are the same usually take quite different routes to the final solution; Those routes have their own unique advantages and disadvantages. In this paper, a creative problem solving method optimized by correlating Brainstorming and TRIZ is proposed. And this method demonstrates how rough initial ideas can be quickly refined and how a problem can be solved correctly.

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수중 TCE 분해용 압전 초음파 트랜스듀서 개발 (Development of the Ultrasonic Transducers for the Degradation of TCE in Aqueous Solution)

  • 이영진
    • 한국전기전자재료학회논문지
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    • 제27권11호
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    • pp.753-759
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    • 2014
  • This paper describes the development of a piezoelectric flextensional transducer, which aims to effectively degrade the TCE contained in aqueous solution. In order to adjust the 1st flextensional resonant frequency and output displacement of the flextensional transducer, the effect of the geometrical variations on performance was analyzed using the finite element analysis (FEM). The results indicated that the effect of external shell's thickness and curvature were most significant, and experimental fabrication and characterization of a transducer was performed to confirm the results. To prove the capacity to degrade the TCE contained in aqueous solution, 50 and 100 ppm of TCE were prepared in sealed chamber, and investigated the removal rate of TCE through the time and initial concentration.

타부탐색을 이용한 AGVS 일방향 흐름경로 설계 (Unidirectional AGVS Flowpath Design using Tabu Search)

  • 문영훈;서윤호
    • 산업공학
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    • 제17권spc호
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    • pp.97-102
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    • 2004
  • AGV flowpath layout design is one of the most important steps for efficient AGV systems design. Since it was formulated by Gaskins & Tanchoco (1987), a unidirectional AGV flowpath layout design problem has been tackled by many researchers. However, the solution methods were traded off between the solution quality and the computational time. In this paper, a tabu search technique is applied to obtain a good solution for a relatively large problem in reasonable computational time. Specifically, fast construction algorithm for feasible initial solutions, long-term memory structure and neighbor solutions generation are adapted to the problem characteristics and embedded in the tabu search algorithm. Also, sets of computational experiments show that the proposed tabu search algorithm outperforms to the Ko and Egbelu's algorithm (2003).

Characteristics of Hydrogel Prepared from Microbial Poly($\gamma$-glutamic acid) by Chemical Crosslinker

  • Park, Jong-Soo;Choi, Seong-Hyun;Choi, Woo-Young;Yoon, Min-Ho
    • Journal of Applied Biological Chemistry
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    • 제48권4호
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    • pp.213-217
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    • 2005
  • Microbial hydrogel was prepared with poly(${\gamma}$-glutamic acid) produced from Bacillus subtilis BS62 using crosslinking reagent, ethylene glycol diglycidyl ether (EGDE), and its physico-chemical characteristics were examined. Hydrogel which prepared from 10 grams of 10% PGA solution with $600\;{\mu}l$ of EGDE at $50^{\circ}C$ for 17 h swelled 4,320 times its dry weight, and time to reach swelling equilibrium in deionized water at 4 to $45^{\circ}C$ range was about 20 h. Swollen hydrogel shrunk in ionic solutions, and rate of shrinkage was higher in calcium chloride solution than sodium chloride solution. Swelling rate of hydrogel increased 1.3-fold of initial swelling rate for 30 min at $80^{\circ}C$.