• 제목/요약/키워드: linear approximation

검색결과 748건 처리시간 0.02초

An Animated Plot of Locally Linear Approximation Method

  • Seo, Han-Son
    • Communications for Statistical Applications and Methods
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    • 제5권1호
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    • pp.77-84
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    • 1998
  • ARES plot (Cook and Weisberg, 1987) idea is applied to a multiple regression model in which the relation between a response variable and some independent variable is nonlinear. This method is expected to show the impact on the function to which and independent variable should be transformed, as a variable is smoothly added to the model.

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크리깅 근사모델 모델을 이용한 LMTT 이동체의 구조최적설계 (Structural Optimization for LMTT-Mover Using the Kriging Based Approximation Model)

  • 이권희;박형욱;한동섭;한근조
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2005년도 춘계학술대회 논문집
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    • pp.385-390
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    • 2005
  • LMTT(Linear Motor-based Transfer Technology)는 항만 자동화를 위한 수평 이송 시스템이며, 셔틀카(shuttle car)와 격자구조의 레일에 부착된 스테이터 모듈(stator module)로 구성된 PLMSL(Permanent Magnetic Linear Synchronous Motor)에 의해 구동된다. 본 논문에서는 LMTT시스템 부품인 이동체(mover)의 경량화를 위하여 직교배열표 및 크리깅 방법을 이용하여 최적설계를 수행한다. 설계변수로는 가로빔, 세로빔, 휠빔의 두께와 높이 방향의 치수를 결정하는 형상변수를 포함시켰다. 목적함수로는 중량, 제한조건 함수로는 안전율이 고려된 응력으로 설정하였다. 본 연구에서 제시된 방법으로 구한 최적해를 민감도기반 최적설계로 구해진 최적해와 비교, 검토하였다.

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Out-of-plane elastic buckling of truss beams

  • Fedoroff, Alexis;Kouhia, Reijo
    • Structural Engineering and Mechanics
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    • 제45권5호
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    • pp.613-629
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    • 2013
  • In this article we will present a method to directly evaluate the critical point of a non-linear system by using the solution of a polynomial eigenvalue approximation as a starting point for an iterative non-linear system solver. This method will be used to evaluate out-of-plane buckling properties of truss structures for which the lateral displacement of the upper chord has been prevented. The aim is to assess for a number of example structures whether or not the linearized eigenvalue solution gives a relevant starting point for an iterative non-linear system solver in order to find the minimum positive critical load.

A NUMERICAL SCHEME TO SOLVE NONLINEAR BSDES WITH LIPSCHITZ AND NON-LIPSCHITZ COEFFICIENTS

  • FARD OMID S.;KAMYAD ALl V.
    • Journal of applied mathematics & informatics
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    • 제18권1_2호
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    • pp.73-93
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    • 2005
  • In this paper, we attempt to present a new numerical approach to solve non-linear backward stochastic differential equations. First, we present some definitions and theorems to obtain the conditions, from which we can approximate the non-linear term of the backward stochastic differential equation (BSDE) and we get a continuous piecewise linear BSDE correspond with the original BSDE. We use the relationship between backward stochastic differential equations and stochastic controls by interpreting BSDEs as some stochastic optimal control problems, to solve the approximated BSDE and we prove that the approximated solution converges to the exact solution of the original non-linear BSDE in two different cases.

기하학적 비선형성을 갖는 평판의 동특성 해석 (Dynamic Analysis of a Geometrical Non-linear Plate)

  • 임재훈;최연선
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.498-503
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    • 2003
  • Dynamic analysis of a plate with non-linearity due to large deformation is performed in the study. There have been many researches about the non-linear dynamic behavior of plates examining by means of theoretical or numerical analyses. But it is important how exactly model the actual system. In this respect, the Continuous-Time system identification technique is used to generate non-linear models, for stiffness and damping terms, to explain the observed behaviors with single mode assumptions for the simplicity after comparing the experimental results with the numerical results of a linear plate model.

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구조용 막재료의 재료 비선형성 평가기법 (An Evaluation Method on the Material Nonlinearity of the Structural Membrane)

  • 한상을;이승훈
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 봄 학술발표회 논문집
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    • pp.197-204
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    • 2001
  • The purpose of this paper is to develope the evaluation technique to find proper elastic constants that characterize the material nonlinearity of structural membrane. The stress-strain curves of membrane material show strong nonlinearity. But generally the analysis is carried out under the assumption on material linear and geometrical nonlinear method. Because, it is very difficult to evaluate proper tangential stiffness. This paper use multi-step-linear approximation method taking the concept of effective stress for the evaluation of stiffness of membrane material, and then compare the results between linear and nonlinear analysis. Also. it shows better results than linear method

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시간지연시스템의 균형화된 모델차수 축소 (A Balanced Model Reduction for Linear Delayed Systems)

  • 유석환
    • 전자공학회논문지SC
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    • 제40권5호
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    • pp.326-332
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    • 2003
  • 본 연구에서는 상태변수에 시변 시간지연을 가진 선형시스템의 모델 차수축소를 취급한다. 이를 위하여 시간지연 시스템의 일반화 가제어성/가관측성 그래미안을 선형행렬 부등식의 해를 이용하여 정의하고 균형화된 상태공간 구현을 정의한다. 균형화된 상태공간 구현으로부터 상태변수론 절삭하여 차수축소된 시간지연 시스템을 구하고 모델 축소오차의 상한치를 제시한다. 수치예를 통하여 제시된 방법의 효용성을 입증한다.

선형변이 차동변압기 센서의 직선성오차 보정기법 (A Compensation Technique of the Linearity Error of Linear Variable Differential Transformer)

  • 최주호;황의성;홍성수;유준
    • 제어로봇시스템학회논문지
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    • 제6권1호
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    • pp.51-56
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    • 2000
  • This paper presents the characteristics of the dynamic response and calibration technique on a linear variable differential transformer(LVDT). The linear error of the LVDT was proven $\pm$1% in the static calibration and $\pm$0.5% in the dynamic calibration. In this paper, the linearity error generated in the static and dynamic state of the core movement can be eliminated using the correction algorithem of the static and dynamic state derived from the least square linear approximation for the nonlinearity of the curves of direct data fitting and Lagrange polynomials. With the static and dynamic calibration method, the calibration accuracy of the LVDT can be reduced to within $\pm{0.5%.}$.

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고속윌쉬변환에 의한 선형시지연계의 해석 및 최적제어 (Analysis and Optimal Control of Linear Time-delay Systems via Fast Walsh Transform)

  • 한상인;이명규;김진태;안두수
    • 대한전기학회논문지:전력기술부문A
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    • 제48권5호
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    • pp.601-606
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    • 1999
  • A Walsh function method is proposed in this report for the analysis and optimal control of linear time-delay systems, which is based on the Picard's iterative approximation and fast Walsh transformation. In this research, the following results are obtained: 1) The differential and integral equation can be solved by transforming into a simple algebraic equation as it was possible with the usual orthogonal function method: 2) General orthogonal function methods require usage of Walsh operational matrices for delay or advance and many calculations of inverse matrices, which are not necessary in this method. Thus, the control problems of linear time-delay systems can be solved much faster and readily.

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Piecewise Affine Control Design for Power Factor Correction Rectifiers

  • Tahami, Farzad;Poshtkouhi, Shahab;Ahmadian, Hamed Molla
    • Journal of Power Electronics
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    • 제11권3호
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    • pp.327-334
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    • 2011
  • Single-phase power factor correction (PFC) converter circuits are non-linear systems due to the contribution of their multiplier. This non-linearity causes difficulties in analysis and design. Models that reduce the system to a linear system involve considerable approximation, and produce results that are susceptible to instability problems. In this paper a piecewise affine (PWA) system is introduced for describing the nonlinear averaged model. Then robust output feedback controllers are established in terms of the linear matrix inequality (LMI). Simulation and experiments results show the effectiveness of the proposed control method.