• Title/Summary/Keyword: nonlinear algorithm

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A robust nonlinear mathematical programming model for design of laterally loaded orthotropic steel plates

  • Maaly, H.;Mahmoud, F.F.;Ishac, I.I.
    • Structural Engineering and Mechanics
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    • 제14권2호
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    • pp.223-236
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    • 2002
  • The main objective of the present paper is to address a formal procedure for orthotropic steel plates design. The theme of the proposed approach is to recast the design procedure into a mathematical programming model. The objective function to be optimized is the total weight of the structure. The total weight is function of its layout parameters and structural element design variables. Mean while the proposed approach takes into consideration the strength and rigidity criteria in addition to other dimensional constraints. A nonlinear programming model is developed which consists of a nonlinear objective function and a set of implicit/explicit nonlinear constraints. A transformation method is adopted for minimization strategy, where the primal model constrained problem is transformed into a sequence of unconstrained minimization models. The search strategy is based on the well-known Fletcher/Powell algorithm. The finite element technique is adopted for discretization and analysis strategies. Mindlin theory is selected to simulate the finite element model and a selective reduced integration scheme is exploited to avoid a shear lock problem.

Approximate analyses of reinforced concrete slabs

  • Vecchio, F.J.;Tata, M.
    • Structural Engineering and Mechanics
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    • 제8권1호
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    • pp.1-18
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    • 1999
  • Procedures are investigated by which nonlinear finite element shell analysis algorithms can be simplified to provide more cost effective approximate analyses of orthogonally-reinforced concrete flat plate structures. Two alternative effective stiffness formulations, and an unbalanced force formulation, are described. These are then implemented into a nonlinear shell analysis algorithm. Nonlinear geometry, three-dimensional layered stress analyses, and other general formulations are bypassed to reduce the computational burden. In application to standard patch test problems, these simplified approximate analysis procedures are shown to provide reasonable accuracy while significantly reducing the computational effort. Corroboration studies using various simple and complex test specimens provide an indication of the relative accuracy of the constitutive models utilized. The studies also point to the limitations of the approximate formulations, and identify situations where one should revert back to full nonlinear shell analyses.

A new approach for nonlinear finite element analysis of reinforced concrete structures with corroded reinforcements

  • Shayanfar, Mohsen A.;Safiey, Amir
    • Computers and Concrete
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    • 제5권2호
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    • pp.155-174
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    • 2008
  • A new approach for nonlinear finite element analysis of corroded reinforcements in RC structures is elaborated in the article. An algorithmic procedure for producing the tension-stiffening curve of RC elements taking into consideration most of effective parameters, e.g.: the rate of steel bar corrosion, bond-slip behavior, concrete cover and amount of reinforcement, is illustrated. This has been established on both experimental and analytical bases. This algorithm is implemented into a nonlinear finite element analysis program. The abilities of the resulted program have been studied by modeling some experimental specimens showing a reasonable agreement between the analytical and experimental findings.

마이크로波 다이오드 混合器의 非線形 및 線形解析에 關한 硏究 (A Study on the Nonlinear and Linear Analysis of Microwave Diode Mixer)

  • 박의준;박성기
    • 대한전자공학회논문지
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    • 제26권4호
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    • pp.7-15
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    • 1989
  • Gauss-Jacobi relaxation 方法으로부터 非線形 마이크로波 回路解析 알고리듬을 薄出하고, Harmonic Balance 技法을 應用하여 갈륨비소 쇼트키 障壁 다이오드를 이용한 混合器의 非線形 및 線形 回路解析 方法을 提示하였다. 本 硏究에서의 解析方法으로부터 마이크로波 混合器의 變換損失을 正確히 豫測하고, 컴퓨터 시뮬레이션으로부터 MMIC設計에 有用함을 보였다. 寬察로 Ku-밴드用 混合器를 MIC로 設計, 製作하여 시뮬레이션 結果의 妥當性을 立證하였다.

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기하학적 비선헝 구조물의 설계 민감도해석 및 위상최적설계 (Design Sensitivity Analysis and Topology Optimization of Geometrically Nonlinear Structures)

  • Cho, Seonho;Jung, Hyunseung;Yang, Youngsoon
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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    • pp.335-342
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    • 2002
  • A continuum-based design sensitivity analysis (DSA) method fur non-shape problems is developed for geometrically nonlinear elastic structures. The non-shape problem is characterized by the design variables that are not associated with the domain of system like sizing, material property, loading, and so on. Total Lagrangian formulation with the Green-Lagrange strain and the second Piola-Kirchhoff stress is employed to describe the geometrically nonlinear structures. The spatial domain is discretized using the 4-node isoparametric plane stress/strain elements. The resulting nonlinear system is solved using the Newton-Raphson iterative method. To take advantage of the derived analytical sensitivity In topology optimization, a fast and efficient design sensitivity analysis method, adjoint variable method, is employed and the material property of each element is selected as non-shape design variable. Combining the design sensitivity analysis method and a gradient-based design optimization algorithm, an automated design optimization method is developed. The comparison of the analytical sensitivity with the finite difference results shows excellent agreement. Also application to the topology design optimization problem suggests a very good insight for the layout design.

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강성등가하중을 이용한 Newton-Raphson Iteration 개선 (Improvement of Newton-Raphson Iteration Using ELS)

  • 김치경;황영철
    • 한국공간구조학회:학술대회논문집
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    • 한국공간구조학회 2006년도 춘계 학술발표회 논문집 제3권1호(통권3호)
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    • pp.170-174
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    • 2006
  • This paper presents a new nonlinear analysis algorithm which uses the equivalent nodal load for the element stiffness. The equivalent nodal load represents the influence of the stiffness change such as the addition of elements, the deletion of elements, and/or the partial change of element stiffness. The nonlinear analysis of structures using the equivalent load improves the efficiency very much because the inverse of the structural stiffness matrix, which needs a large amount of computation to calculate, is reused in each loading step. In this paper, the concept of nonlinear analysis using the equivalent load for the element stiffness is described and some numerical examples are provided to verify it.

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A Study on the Nonlinear Dynamics of PR Interval Variability Using Surrogate data

  • 이종민;박광석;신인선
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1996년도 춘계학술대회
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    • pp.27-30
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    • 1996
  • PR interval variability has been proposed as a noninvasive tool for in-vestigating the autonomic nervous system as welt as heart rate variability. The goal of this paper is to determine whether PR interval variability is generated from deterministic nonlinear dynamics. The data used in this study is a 24-hour bolter ECGs of 20 healthy adults. We developed an automatic PR interval measurement algorithm, and tested it using MIT ECG Databases. The general discriminants of nonlinear dynamics, such as, correlation dimension and phase space reconstruction are used. Surrogate data is generated from simpler linear models to have similar statistical characteristics with the original data. Nonlinear discriminants are applied to both data, and compared for any significant results. It was concluded that PR interval variability shows non-linear characteristics.

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Optimization of fuzzy controller for nonlinear buildings with improved charged system search

  • Azizi, Mahdi;Ghasemi, Seyyed Arash Mousavi;Ejlali, Reza Goli;Talatahari, Siamak
    • Structural Engineering and Mechanics
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    • 제76권6호
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    • pp.781-797
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    • 2020
  • In recent years, there is an increasing interest to optimize the fuzzy logic controller with different methods. This paper focuses on the optimization of a fuzzy logic controller applied to a seismically excited nonlinear building. In most cases, this problem is formulated based on the linear behavior of the structure, however in this paper, four sets of objective functions are considered with respect to the nonlinear responses of the structure as the peak interstory drift ratio, the peak level acceleration, the ductility factor and the maximum control force. The Improved Charged System Search is used to optimize the membership functions and the rule base of the fuzzy controller. The obtained results of the optimized and the non-optimized fuzzy controllers are compared to the uncontrolled responses of the structure. Also, the performance of the utilized method is compared with various classical and advanced optimization algorithms.

학습제어를 이용한 비최소 위상 비선형 시스템의 점근적 추종 (Asymptotic Output Tracking of Non-minimum Phase Nonlinear Systems through Learning Based Inversion)

  • 김남국
    • 한국기계가공학회지
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    • 제21권8호
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    • pp.32-42
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    • 2022
  • Asymptotic tracking of a non-minimum phase nonlinear system has been a popular topic in control theory and application. In this paper, we propose a new control scheme to achieve asymptotic output tracking in anon-minimum phase nonlinear system for periodic trajectories through an iterative learning control with the stable inversion. The proposed design method is robust to parameter uncertainties and periodic external disturbances since it is based on iterative learning. The performance of the proposed algorithm was demonstrated through the simulation results using a typical non-minimum nonlinear system of an inverted pendulum on a cart.

고밀도 자기 기록 채널의 비선형 왜곡 추정 기법 (An estimation technique for nonlinear distortion in high-density magnetic recording channels)

  • 이남진;오대선;조용수;김기호
    • 한국통신학회논문지
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    • 제22권11호
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    • pp.2439-2450
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    • 1997
  • 디지털 자기 기록 채널의 기록 밀도가 증가하면 기록 채널의 비선형 왜곡이 발생하고, 이로 인해 PRML이나 DFE와 같은 디지털 검출 방식의 성능이 급격히 저하된다. 고밀도 기록을 저해하는 요소는 비선형 천이 이동과 부분 삭제로 분류되는데, 이 중 비선형 천이 이동은 사전 보상 기법에 의해 보상 가능하고, 부분 삭제 현상의 보상을 위해서는 정교한 비선형 동화 기법이 필요하다. 고밀도 기록을 달성하기 위해서는 이러한 비선형 왜곡과 관련된 파라메타의 정확한 추정이 매우 중요하다. 본 논문에서는 시간 영역에서 제안된 적응 알고리듬을 사용하여 위의 두 비선형 왜곡 영향을 분리할 수 있는 새로운 추정 기법을 논하고, 제안된 적응 방식으로 비선형 파라메타를 바이어스 없이 추정할 수 있음을 컴퓨터의 실험을 통해 확인하였다.

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