• 제목/요약/키워드: lagrange

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Plastic Design Method for Moment Resisting Frame based on Designer's Acceptable Matrix (설계자 만족도 매트릭스를 이용한 골조 구조물의 소성해석법)

  • Song, Ki-Young;Lee, Seung-Jae;Oh, Sang-Hoon;Kang, Chang-Hoon
    • Proceeding of KASS Symposium
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    • 2006.05a
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    • pp.165-169
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    • 2006
  • This study presents a new stress analysis method to be substituted for the elastic analysis in such a plastic design procedure. This method is accompanied by an efficient mathematical tool which can be easily handled by personal computer. The method also easily accepts arbitrary strategies by the designer for selection member size.

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cdma2000을 위한 스마트 안테나 설계 기술

  • 노경래;안성수;최승원
    • Information and Communications Magazine
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    • v.18 no.6
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    • pp.46-57
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    • 2001
  • 본 논문은 IMT-2000 이동통신 표준인 cdma2000 환경에서 라그랑제(Lagrange)승수를 이용한 알고리즘을 이용하여 설계한 스마트안테나 시스템을 성능 분석하였다. 본 논문에 적용한 수신안테나 시스템은 기존의 2 안테나 다이버시티(2-antenna diversity) 시스템과는 달리 선형배열안테나를 이용하여 각 안테나 소자에 대한 위상보정을 통해 최적의 수신이득을 얻는 시스템이다[1]. 본 논문에서는 안테나위상의 보정을 위해 수신신호의 자기상관행렬의 최대 고유치에 해당하는 고유벡터를 계산하는 절차를 거치며 이를 위해 라그랑제승수(Laglange Multiplier)에 기초한 알고리즘을 사용하였다[2]. 이렇게 구현된 스마트안테나 시스템을 변조심볼(Mudulation Symbol)의 SER(symbol error rate)에 대한 성능분석을 통해 cdma2000 데이터채널의 수용용량을 제시함으로써 시스템의 성능을 분석하였다.

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A Derivation of Operational Matrices via Improved Block Pulse Coefficients Estimation Method (개선된 블럭 펄스 계수 추정 기법을 이용한 적분 연산 행렬 유도)

  • Kim, Tai-Hoon;Shim, Jae-Sun;Lee, Hae-Ki
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2277-2279
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    • 2003
  • This paper presents a new method for finding the Block Pulse series coefficients and deriving the Block Pulse integration operational matrices which are necessary for the control fields using the Block Pulse functions. This paper presents the method for improving the accuracy of the Block Pulse series coefficients and derives the related integration operational matrices by using the Lagrange second order interpolation polynomial and expands that matrix to general form.

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AN IMPLEMENTATION OF WEIGHTED L$_{\infty}$ - METRIC PROGRAM TO MULTIPLE OBJECTIVE PROGRAMMING

  • Lee, Jae-Hak
    • The Pure and Applied Mathematics
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    • v.3 no.1
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    • pp.73-81
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    • 1996
  • Multiple objective programming has been a popular research area since 1970. The pervasiveness of multiple objective in decision problems have led to explosive growth during the 1980's. Several approaches (interactive methods, feasible direction methods, criterion weight space methods, Lagrange multiplies methods, etc) have been developed for solving decision problems having multiple objectives. However there are still many mathematically challengings including multiple objective integer, nonlinear optimization problems which require further mathematically oriented research. (omitted)

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AN EFFICIENT IMPLEMENTATION OF BDM MIXED METHODS FOR SECOND ORDER ELLIPTIC PROBLEMS

  • Kim, J.H.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.7 no.2
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    • pp.95-111
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    • 2003
  • BDM mixed methods are obtained for a good approximation of velocity for flow equations. In this paper, we study an implementation issue of solving the algebraic system arising from the BDM mixed finite elements. First we discuss post-processing based on the use of Lagrange multipliers to enforce interelement continuity. Furthermore, we establish an equivalence between given mixed methods and projection finite element methods developed by Chen. Finally, we present the implementation of the first order BDM on rectangular grids and show it is as simple as solving the pressure equation.

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ON COMPLEX FINSLER SPACES WITH RANDERS METRIC

  • Aldea, Nicoleta;Munteanu, Gheorghe
    • Journal of the Korean Mathematical Society
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    • v.46 no.5
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    • pp.949-966
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    • 2009
  • In this paper we introduce in study a new class of complex Finsler spaces, namely the complex Randers spaces, for which the fundamental metric tensor and the Chern-Finsler connection are determined. A special approach is devoted to $K{\ddot{a}}ahler$-Randers metrics. Using the length arc parametrization for the extremal curves of the Euler-Lagrange equations we obtain a complex nonlinear connections of Lorentz type in a complex Randers space.

On the Stabilizability by the Intelligent Digital Redesign (지능형 디지털 재설계 기법의 안정화 가능성에 대하여)

  • Lee, Ho-Jae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2006.11a
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    • pp.7-10
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    • 2006
  • 지능형 디지털 재설계 기법의 중요한 가정은 퍼지 IF-THEN 규칙의 발화도가 샘플링 구간에서 샘플링 순간의 값으로 근사화 된다는 점이다. 본 논문은 퍼지 IF-THEN 규칙 발화도의 근사화 가정을 배제한 경우에 대하여 기존의 지능형 디지털 재설계 기법에 의하여 재설계된 디지털 제어기의 안정화 가능성을 조사한다.

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THE TENSION FIELD OF THE ENERGY FUNCTIONAL ON RIEMANNIAN SUBMERSION

  • Choi, Boo-Yong
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.2
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    • pp.239-245
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    • 2011
  • In this paper, we will study the tension field of the function related to a Riemannain submersion ${\pi}\;:\;N{\rightarrow}M$ with totally geodesic fibres. In case that the Riemannain submersion ${\pi}\;:\;N{\rightarrow}M$ particularly has a smooth map $f\;:\;M{\rightarrow}N$ which happens to be a section, we will show that tension field ${\tau}(f)$ of the energy functional can be decomposed into the horizontal and vertical parts.

HYPERELASTIC LIE QUADRATICS

  • Ozkan Tukel, Gozde;Turhan, Tunahan;Yucesan, Ahmet
    • Honam Mathematical Journal
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    • v.41 no.2
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    • pp.369-380
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    • 2019
  • Inspired by the problem of finding hyperelastic curves in a Riemannian manifold, we present a study on the variational problem of a hyperelastic curve in Lie group. In a Riemannian manifold, we reorganize the characterization of the hyperelastic curve with appropriate constraints. By using this equilibrium equation, we derive an Euler-Lagrange equation for the hyperelastic energy functional defined in a Lie group G equipped with bi-invariant Riemannian metric. Then, we give a solution of this equation for a null hyperelastic Lie quadratic when Lie group G is SO(3).

Dynamic analysis of a laminated composite beam under harmonic load

  • Akbas, S.D.
    • Coupled systems mechanics
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    • v.9 no.6
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    • pp.563-573
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    • 2020
  • Dynamic responses of a laminated composite cantilever beam under a harmonic are investigated in this study. The governing equations of problem are derived by using the Lagrange procedure. The Timoshenko beam theory is considered and the Ritz method is implemented in the solution of the problem. The algebraic polynomials are used with the trivial functions for the Ritz method. In the solution of dynamic problem, the Newmark average acceleration method is used in the time history. In the numerical examples, the effects of load parameter, the fiber orientation angles and stacking sequence of laminas on the dynamic responses of the laminated beam are investigated.