• Title/Summary/Keyword: general solution

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Stress fields on an isotropic semi-infinite plane with a circular hole subjected to arbitrary loads using the constraint-release technique

  • Tsutsumi, Takashi;Sato, Keiji;Hirashima, Ken-Ichi;Arai, Hiroshi
    • Steel and Composite Structures
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    • v.2 no.4
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    • pp.237-246
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    • 2002
  • In this paper, the solution of a semi-infinite plane with one circular hole is presented. This solution is induced by repeatedly superposing the solution of an infinite plane with one circular hole and that of a semi-infinite plane without holes to cancel out the stresses arising on both boundaries. This procedure is carried out until the stresses arising on both boundaries converge. This method does not require complicated calculation procedures as does the method using stress functions defined in a bipolar coordinate system. Some numerical results are shown by graphical representations.

Capacitor Placement in Radial Distribution Systems Using Chaotic Search Algorithm (방사상 배전계통의 커패시터 설치를 위한 카오스 탐색알고리즘)

  • Rhee, Sang-Bong;Kim, Kyu-Ho;You, Seok-Ku
    • Proceedings of the KIEE Conference
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    • 2002.07a
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    • pp.124-126
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    • 2002
  • The general capacitor placement problem is a combinatorial optimization problem having an objective function composed of power losses and capacitor installation costs subject to bus voltage constraints. In this paper, the method employing the chaos search algorithm is proposed to solve optimal capacitor placement problem with reducing computational effort and enhancing optimality of the solution. Chaos method in optimization problem searches the global optimal solution on the regularity of chaotic motions and easily escapes from local or near optimal solution than stochastic optimization algorithms. The chaos optimization method is tested on 9 buses and 69 buses system to illustrate the effectiveness of the proposed method.

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Green's Function of Cracks in Piezoelectric Material (압전재료 내의 균열에 대한 그린함수)

  • Choi, Sung-Ryul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.9
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    • pp.967-974
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    • 2007
  • A general form solution is considered for a piezoelectric material containing impermeable cracks subjected to a combined mechanical and in-plane electrical loading. The analysis is based upon the Hilbert problem formulation. Using this solution, typically for a central crack in transverse isotropic piezoelectric material, a closed form solution is obtained, where one concentrated mechanical and electrical load is subjected to the crack surface. This problem could be used as a Green's function to generate the solutions of other problems with the same geometry but of different loading conditions.

A Parallel Genetic Algorithms for lob Shop Scheduling Problems (Job Shop 일정계획을 위한 병렬 유전 알고리즘)

  • 박병주;김현수
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.23 no.59
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    • pp.11-20
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    • 2000
  • The Job Shop Scheduling Problem(JSSP) is one of the most general and difficult of all traditional scheduling problems. The goal of this research is to develop an efficient scheduling method based on single genetic algorithm(SGA) and parallel genetic algorithm (PGA) to address JSSP. In this scheduling method, new genetic operator, generating method of initial population are developed and island model PGA are proposed. The scheduling method based on PGA are tested on standard benchmark JSSP. The results were compared with SGA and another GA-based scheduling method. The PGA search the better solution or improves average of solution in benchmark JSSP. Compared to traditional GA, the proposed approach yields significant improvement at a solution.

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A Global Optimization Technique for the Capacitor Placement in Distribution Systems (배전계통 커패시터 설치를 위한 전역적 최적화 기법)

  • Rhee, Sang-Bong;Kim, Kyu-Ho;Lee, Sang-Keun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.5
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    • pp.748-754
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    • 2008
  • The general capacitor placement problem is a combinatorial optimization problem having an objective function composed of power losses and capacitor installation costs subject to bus voltage constraints. In this paper, a global optimization technique, which employing the chaos search algorithm, is applied to solve optimal capacitor placement problem with reducing computational effort and enhancing global optimality of the solution. Chaos method in optimization problem searches the global optimal solution on the regularity of chaotic motions and easily escapes from local or near optimal solution than stochastic optimization algorithms. The chaos optimization method is tested on 9 buses and 69 buses system to illustrate the effectiveness of the proposed method.

SOLUTION OF A VECTOR VARIABLE BI-ADDITIVE FUNCTIONAL EQUATION

  • Park, Won-Gil;Bae, Jae-Hyeong
    • Communications of the Korean Mathematical Society
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    • v.23 no.2
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    • pp.191-199
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    • 2008
  • We investigate the relation between the vector variable bi-additive functional equation $f(\sum\limits^n_{i=1} xi,\;\sum\limits^n_{i=1} yj)={\sum\limits^n_{i=1}\sum\limits^n_ {j=1}f(x_i,y_j)$ and the multi-variable quadratic functional equation $$g(\sum\limits^n_{i=1}xi)\;+\;\sum\limits_{1{\leq}i<j{\leq}n}\;g(x_i-x_j)=n\sum\limits^n_{i=1}\;g(x_i)$$. Furthermore, we find out the general solution of the above two functional equations.

Feasible Design Area of 4 Bar Input Crank for 3 Position Synthesis of Watt-II 6 Bar Mechanism (6 절기구 응용을 위한 3 위치 운동 생성용 4절 가구 합성을 위한 입력 크랭크의 합당해 영역)

  • 범진환
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.3
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    • pp.88-98
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    • 1998
  • In many automatization applications, a rigid body is required to go forward and backward repeatedly through a set of given position/orientations precisely while a crank is rotated. Such a motion can be generated by 6 bar mechanism adding a dyad to a 4 bar mechanism. If this is the case for 3 position synthesis of the 4 bar mechanism, the feasible solution area for designing the 4 bar mechanism will be limited over the general solution area. This paper proposes a procedure to synthesize 4 bar mechanism to be used to generate the required motion. It is found that the only input crank of the 4 bar mechanism should be limited to satisfy the condition. And the feasible design area for the circle point/ center point of the input crank is identified so that design of the undesired mechanism could be avoided. The method is tested and the results are shown.

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Improvement in Adhesion of the Indium Zinc Oxide (IZO) Thin Films on Organic Polymer Films

  • Lee, Yeong-Beom;Kim, Kyong-Sub;Ko, Min-Jae;Kim, Kyung-Seop
    • 한국정보디스플레이학회:학술대회논문집
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    • 2009.10a
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    • pp.537-539
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    • 2009
  • We report the improvement in adhesion of IZO thin films through oxygen ($O_2$) plasma treatment of organic polymer film. In conclusion, the $O_2$ plasma treatment of an organic polymer film was accomplished with improving ca. 1.8 times in adhesion than that of the only general etch treatment on the same organic polymer film.

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A General approach to the wrinkling instability of sandwich plates

  • Vonach, Walter K.;Rammerstorfer, Franz G.
    • Structural Engineering and Mechanics
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    • v.12 no.4
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    • pp.363-376
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    • 2001
  • Sandwich plates are widely used in lightweight design due to their high strength and stiffness to weight ratio. Due to the heterogeneous structure of sandwich plates, they can exhibit local instabilities (wrinkling), which lead to a sudden loss of stiffness in the structure. This paper presents an analytical solution to the wrinkling problem of sandwich plates. The solution is based on the Rayleigh-Ritz method, by assuming an appropriate deformation field. In contrast to the other approaches up to now, this model takes arbitrary and different orthotropic face layers, finite core thickness and orthotropic core material into account. This approach is the first to cover the wrinkling of unsymmetric sandwiches and sandwiches composed of orthotropic FRP face layers, which are most common in advanced lightweight design. Despite the generality of the solution, the computational effort is kept within bounds. The results have been verified using other analytical solutions and unit cell 3D FE calculations.

Analogical Reasoning and Transfer of Problem Solving Principle (유추적 추리와 문제해결 원리의 전이)

  • Lee, Myung-Ja
    • Journal of The Korean Association For Science Education
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    • v.16 no.4
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    • pp.470-476
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    • 1996
  • The purpose of this study was to investigate how sample story problems should be presented to students to promote their transfer of a comprehensive solution principle to a story problem in a different domain. The variables of interest were example-problem condition, principle learning condition, and recall condition. One hundred and ninety six university students were asked to solve analogical story problems. Contrary to expectations, there were no significant differences between the one-solved-and-one -unsolved problem format and the two-solved-problem format. Also, subjects who were asked to derive a general solution principle did not received higher scores than subjects who were provided with one and subjects who were in the control group. However, the time interval between analog learning and transfer had effect on the subjects' solution of the target problem.

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