• 제목/요약/키워드: index polynomial

검색결과 112건 처리시간 0.03초

용가 와이어를 적용한 알루미늄 레이저 용접에서 공정 자동화를 위한 유전 알고리즘을 이용한 공정변수 최적화 (Optimization of Process Parameters Using a Genetic Algorithm for Process Automation in Aluminum Laser Welding with Filler Wire)

  • 박영환
    • Journal of Welding and Joining
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    • 제24권5호
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    • pp.67-73
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    • 2006
  • Laser welding is suitable for welding to the aluminum alloy sheet. In order to apply the aluminum laser welding to production line, parameters should be optimized. In this study, the optimal welding condition was searched through the genetic algorithm in laser welding of AA5182 sheet with AA5356 filler wire. Second-order polynomial regression model to estimate the tensile strength model was developed using the laser power, welding speed and wire feed rate. Fitness function for showing the performance index was defined using the tensile strength, wire feed rate and welding speed which represent the weldability, product cost and productivity, respectively. The genetic algorithm searched the optimal welding condition that the wire feed rate was 2.7 m/min, the laser power was 4 kW and the welding speed was 7.95 m/min. At this welding condition, fitness function value was 137.1 and the estimated tensile strength was 282.2 $N/mm^2$.

KUCERA GROUP OF CIRCULAR UNITS IN FUNCTION FIELDS

  • Ahn, Jae-Hyun;Jung, Hwan-Yup
    • 대한수학회보
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    • 제44권2호
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    • pp.233-239
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    • 2007
  • Let $\mathbb{A}=\mathbb{F}_q$[T] be the polynomial ring over a finite field $\mathbb{F}_q$[T] and K=$\mathbb{F}_q$(T) its field of fractions. Let ${\ell}$ be a fixed prime divisor of q-1. Let J be a finite set of monic irreducible polynomials $P{\in}{\mathbb{A}}$ with deg $P{\equiv}0$ (mod ${\ell})$. In this paper we define the group $C_K$ of circular units in K=k$(\{\sqrt[{\ell}]P\;:\;P{\in}J\})$ in the sense of Kucera [4] and compute the index of $C_K$ in the full unit group $O^*_K$.

병렬 프로그램 실행을 위한 ELI 기반 동적 부하 균등화 (An ELI-based Dynamic Load Balancing for Parallel Program Executions)

  • 배인한
    • 한국통신학회논문지
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    • 제19권6호
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    • pp.1016-1026
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    • 1994
  • 본 논문에서 분산 시스템의 각 노드들은 노드들간에 주기적으로 교환되는 시스템 상태 정보를 히스토리에 저장하고, 그 히스토리 정보에 Newton의 후향 보간법의 5차 보간 다항식을 사용하여 다음 주기의 예측 부하 지수(ELI)를 계산한다. 계산되어진 ELI를 동적 부하 균등화 시스템의 로케이션 정책에 이용하였다. 그 결과 ELI 기반 동적 부하 균등화 시스템은 기존의 부하 균등화 알고리즘에 비해 성능이 우수함을 시뮬레이션을 통하여 알 수 있었다.

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DS/CDMA 무선 광전송시스템 모델에서의 비선형 효과 해석 (Analysis on the Nonlinear Effect in the DS/CDMA Wireless-Optical Transmission System Model)

  • 주창복;오경석
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 하계종합학술대회논문집
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    • pp.98-101
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    • 1998
  • The intermodulation distortion(IMD) due to laser diode nonlinearity of an asynhcronous direct sequence code diviion multiple access(DS/CDMA) system in wireless-optical transmission system model is analzed. A third order polynomial is used to represent laser diode nonlinearity. In DS/CDMA system, only one harmonic of the third-order intermodulation term falls on the signal frequency band and influences the system performance characteristics. To cancel multi-user interference and nonlinear distortion in a DS/CDMA wireless-optical transmission system model, the simple transversal filter structure with N-taps of (N-1) tap delay of 1 chip time delay line is used. It is necessary to select an optimal modulation index that provides a maximum signal-to-noise ratio and the results are useful for CDMA system design.

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Thermal buckling of functionally graded plates using a n-order four variable refined theory

  • Abdelhak, Z.;Hadji, L.;Daouadji, T.H.;Bedia, E.A.
    • Advances in materials Research
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    • 제4권1호
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    • pp.31-44
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    • 2015
  • This paper presents a simple n-order four variable refined theory for buckling analysis of functionally graded plates. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the present theory is reduced, and hence, makes it simple to use. The present theory is variationally consistent, uses the n-order polynomial term to represent the displacement field, does not require shear correction factor, and eliminates the shear stresses at the top and bottom surfaces. A power law distribution is used to describe the variation of volume fraction of material compositions. Equilibrium and stability equations are derived based on the present n-order refined theory. The non-linear governing equations are solved for plates subjected to simply supported boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. The effects of aspect and thickness ratios, gradient index, on the critical buckling are all discussed.

토크 제한하에서의 첨단부 잔류진동 감소를 위한 매니퓰레이터 경로설계 (Manipulator Path Design to Reduce the Endpoint Residual Vibration under Torque Constraints)

  • 박경조;박윤식
    • 대한기계학회논문집
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    • 제17권10호
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    • pp.2437-2445
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    • 1993
  • In this work, a new method is presented for generating the manipulator path which significantly reduces residual vibration under the torque constraints. The desired path is optimally designed so that the required movement can be achieved with minimum residual vibration. From the previous research works, the dynamic model had been established including both the link and the joint flexibilities. The performance index is selected to minimize the maximum amplitude of residual vibration. The path to be designed is developed by a combined Fourier series and polynomial function to satisfy both the convergence and boundary condition matching problems. The concept of correlation coefficients is used to select the minimum number of design variables, i.e. Fourier coefficients, the only ones which have a considerable effect on the reduction of residual vibration. A two-link Manipulator is used to evaluate this method. Results show that residual vibration can be drastically reduced by selecting an appropriate manipulator path to both of unlimited and torque-limited cases.

FNN에 기초한 Fuzzy Self-organizing Neural Network(FSONN)의 구조와 알고리즘의 구현 (The Implementation of the structure and algorithm of Fuzzy Self-organizing Neural Networks(FSONN) based on FNN)

  • 김동원;박병준;오성권
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 춘계학술대회 학술발표 논문집
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    • pp.114-117
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    • 2000
  • In this paper, Fuzzy Self-organizing Neural Networks(FSONN) based on Fuzzy Neural Networks(FNN) is proposed to overcome some problems, such as the conflict between ovefitting and good generation, and low reliability. The proposed FSONN consists of FNN and SONN. Here, FNN is used as the premise part of FSONN and SONN is the consequnt part of FSONN. The FUN plays the preceding role of FSONN. For the fuzzy reasoning and learning method in FNN, Simplified fuzzy reasoning and backpropagation learning rule are utilized. The number of layers and the number of nodes in each layers of SONN that is based on the GMDH method are not predetermined, unlike in the case of the popular multi layer perceptron structure and can be generated. Also the partial descriptions of nodes can use various forms such as linear, modified quadratic, cubic, high-order polynomial and so on. In this paper, the optimal design procedure of the proposed FSONN is shown in each step and performance index related to approximation and generalization capabilities of model is evaluated and also discussed.

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이족보형로봇의 전체 보행구간에서의 균형점 궤적 생성에 관한 연구 (A study on the ZMP Trajectory generation in multi step walking of IWR-III Biped Walking Robot)

  • 구자혁;최영하;최상호;김진걸
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부 B
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    • pp.546-548
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    • 1998
  • This paper deals with ZMP trajectory generation in multi step walking of IWR-III(Inha Walking Robot) Biped Walking Robot. Biped walking is realized by combining 6-types of pre-defined steps and the actual ZMP can be used as a stability index of a robot. For the good tracking of actual ZMP, desired ZMP trajectory is generated during the whole walking time not for each step. Trajectory generation is performed considering velocities and accelerations of given via points using 5-th order polynomial interpolation method. As a result, balancing joints have a more smooth and continuous motion and actual ZMP has a better tracking ability. Numerical simulator is done by MATLAB to guarantee the walking of a robot satisfying the ZMP stability.

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호의 색칠문제의 해법 (An Algorithm for the Edge Coloring Problem)

  • 박성수
    • 대한산업공학회지
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    • 제18권2호
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    • pp.43-49
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    • 1992
  • Edge coloring problem is to find a minimum cardinality coloring of the edges of a graph so that any pair of edges incident to a common node do not have the same colors. Edge coloring problem is NP-hard, hence it is unlikely that there exists a polynomial time algorithm. We formulate the problem as a covering of the edges by matchings and find valid inequalities for the convex hull of feasible solutions. We show that adding the valid inequalities to the linear programming relaxation is enough to determine the minimum coloring number(chromatic index). We also propose a method to use the valid inequalities as cutting planes and do the branch and bound search implicitly. An example is given to show how the method works.

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Static analysis of singly and doubly curved panels on rectangular plan-form

  • Bahadur, Rajendra;Upadhyay, A.K.;Shukla, K.K.
    • Steel and Composite Structures
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    • 제24권6호
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    • pp.659-670
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    • 2017
  • In the present work, an analytical solution for the static analysis of laminated composites, functionally graded and sandwich singly and doubly curved panels on the rectangular plan-form, subjected to uniformly distributed transverse loading is presented. Mathematical formulation is based on the higher order shear deformation theory and principle of virtual work is applied to derive the equations of equilibrium subjected to small deformation. A solution methodology based on the fast converging finite double Chebyshev series is used to solve the linear partial differential equations along with the simply supported boundary condition. The effect of span to thickness ratio, radius of curvature to span ratio, stacking sequence, power index are investigated. The accuracy of the solution is checked by the convergence study of non-dimensional central deflection and moments. Present results are compared with those available in the literature.