• 제목/요약/키워드: nonlinear algorithm

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Accurate semi-analytical solution for nonlinear vibration of conservative mechanical problems

  • Bayat, Mahmoud;Pakar, Iman
    • Structural Engineering and Mechanics
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    • 제61권5호
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    • pp.657-661
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    • 2017
  • In this paper, it has been tried to propose a new semi analytical approach for solving nonlinear vibration of conservative systems. Hamiltonian approach is presented and applied to high nonlinear vibration systems. Hamiltonian approach leads us to high accurate solution using only one iteration. The method doesn't need any small perturbation and sufficiently accurate to both linear and nonlinear problems in engineering. The results are compared with numerical solution using Runge-Kutta-algorithm. The procedure of numerical solution are presented in detail. Hamiltonian approach could be simply apply to other powerfully non-natural oscillations and it could be found widely feasible in engineering and science.

A performance based strategy for design of steel moment frames under blast loading

  • Ashkezari, Ghasem Dehghani
    • Earthquakes and Structures
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    • 제15권2호
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    • pp.155-164
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    • 2018
  • Design of structures subjected to blast loads are usually carried out through nonlinear inelastic dynamic analysis followed by imposing acceptance criteria specified in design codes. In addition to comprehensive aspects of inelastic dynamic analyses, particularly in analysis and design of structures subjected to transient loads, they inherently suffer from convergence and computational cost problems. In this research, a strategy is proposed for design of steel moment resisting frames under far range blast loads. This strategy is inspired from performance based seismic design concepts, which is here developed to blast design. For this purpose, an algorithm is presented to calculate the capacity modification factors of frame members in order to simplify design of these structures subjected to blast loading. The present method provides a simplified design procedure in which the linear dynamic analysis is preformed, instead of the time-consuming nonlinear dynamic analysis. Nonlinear and linear analyses are accomplished in order to establish this design procedure, and consequently the final design procedure is proposed as a strategy requiring only linear structural analysis, while acceptance criteria of nonlinear analysis is implicitly satisfied.

Hermite전개법에 의한 비선형계의 상태추정 및 동정에 관한 연구 (State Estimation and Identification of Nonlinear Systems by Hermitian Expansion of Probability Distributions)

  • 김경기
    • 전기의세계
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    • 제22권3호
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    • pp.49-62
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    • 1973
  • An algorithm for the state estimation and identification of multivariable nonlinear systems with noisy nonlinear observation has been investigated on the basis of the multidimensional Hermitian expansion for the a posteriori probability densities of the predicted observation, the predicted state and the observation conditioned by the state. A new approach for construction of this sequential nonlinear estimator, retaining up to the second order term of the observation error, has been developed, along with the approximation of nonlinear system functions, truncating at the second term. The estimation of the unknown parameters has been established by extending the state estimation technique, regarding the parameters as another state variables. The results of investigation indicate the feasibility of the schemes presented in this paper.

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자기공명영상에서 다양한 구조들을 고려한 비선형 이방성 필터링 (Nonlinear Anisotropic Filtering with Considering of Various Structures in Magnetic Resonance Imaging)

  • 송영철
    • 대한전기학회논문지:시스템및제어부문D
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    • 제52권3호
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    • pp.148-155
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    • 2003
  • In this paper, a nonlinear anisotropic filtering method without the loss of important information happened due to the repeated filtering in magnetic resonance images is proposed. First of all original images are divided into four regions, e.g., SPR(Strong Plain Region), EPR(Easy Plain Region), SER(Strong Edge Region), and EER(Easy Edge Region). An optimal template among multiple templates is selected, then the nonlinear anisotropic filtering based on the template is applied in pixel by pixel basis. In the proposed algorithm, filtering strength of EER containing important information is adjusted very weak and filtering strength for remaining regions is also adjusted according to the degree of the importance. In spite of repeated filtering, resulting images by the proposed method could still preserve anatomy information of original images without any degradation. Compared to the existing nonlinear anisotropic filtering, the proposed filtering method with multiple templates provides higher reliability for filtered images.

7자유도 센서차량모델 제어를 위한 비선형신경망 (Nonlinear Neural Networks for Vehicle Modeling Control Algorithm based on 7-Depth Sensor Measurements)

  • 김종만;김원섭;신동용
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2008년도 하계학술대회 논문집 Vol.9
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    • pp.525-526
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    • 2008
  • For measuring nonlinear Vehicle Modeling based on 7-Depth Sensor, the neural networks are proposed m adaptive and in realtime. The structure of it is similar to recurrent neural networks; a delayed output as the input and a delayed error between the output of plant and neural networks as a bias input. In addition, we compute the desired value of hidden layer by an optimal method instead of transfering desired values by backpropagation and each weights are updated by RLS(Recursive Least Square). Consequently, this neural networks are not sensitive to initial weights and a learning rate, and have a faster convergence rate than conventional neural networks. This new neural networks is Error Estimated Neural Networks. We can estimate nonlinear models in realtime by the proposed networks and control nonlinear models.

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Analytical solution for nonlinear vibration of an eccentrically reinforced cylindrical shell

  • Bayat, Mahmoud;Pakar, Iman;Bayat, Mahdi
    • Steel and Composite Structures
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    • 제14권5호
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    • pp.511-521
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    • 2013
  • In this study we have considered the governing nonlinear equation of an eccentrically reinforced cylindrical shell. A new analytical method called He's Variational Approach (VA) is used to obtain the natural frequency of the nonlinear equation. This analytical representation gives excellent approximations to the numerical solution for the whole range of the oscillation amplitude, reducing the respective error of angular frequency in comparison with the variation approach method. It has been proved that the variational approach is very effective, convenient and does not require any linearization or small perturbation. Additionally it has been demonstrated that the variational approach is adequately accurate to nonlinear problems in physics and engineering.

최적화 기법을 이용한 Nash 모형과 Diskin 모형의 매개변수 추정 (Parameter Estimation for Nash Model and Diskin Model by Optimization Techniques)

  • 최민하;안재현;김중훈;윤용남
    • 한국방재학회 논문집
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    • 제1권3호
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    • pp.73-82
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    • 2001
  • 본 연구에서는 선형모형인 Nash 모형(1957)과 비 선형모형인 Diskin 모형(1964)의 매개변수를 최적화 기법을 사용하여 구하고 모형의 적용성을 검토하였다. 최적화 기법 중에서 최근 들어 활발히 연구되고 있는 유전자 알고리즘(Genetic Algorithm)과 비선형 계획법(Non-linear Programming)을 사용하여 Nash 모형과 Diskin 모형의 매개변수를 추정하였으며, 이를 소양강댐 유역의 호우사상에 적용하여 보았다. Nash 모형과 Diskin 모형에서 각각 유전자 알고리즘과 비 선형 계획법으로 구한 매개변수는 다소의 차이를 나타내며, 유전자 알고리즘과 비선형 계획법을 이용하여 Diskin 모형의 매개변수를 구하여 모의된 유출 수문곡선이 유전자 알고리즘과 비선형 계획법을 이용하여 Nash 모형의 매개변수를 구하여 모의된 유출수문곡선에 비해 실제 유출수문곡선에 더 근접한 결과를 나타냈으며 특히, 첨두치를 더 정확히 모의하였다.

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신경회로망을 이용한 직접 자기동조제어기의 설계 (Design of a Direct Self-tuning Controller Using Neural Network)

  • 조원철;이인수
    • 전자공학회논문지SC
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    • 제40권4호
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    • pp.264-274
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    • 2003
  • 본 논문에서는 잡음과 시간지연이 존재하며 시스템 파라미터가 변하는 비선형 비최소위상 시스템에 적응하는 신경회로망이 결합된 PID구조를 갖는 일반화 최소분산 자기동조제어기를 제안한다. PID구조를 갖는 자기동조는 PID제어기처럼 구조가 간단하고 계통을 정밀하게 제어하는 자기동조 제어기의 특성을 그대로 유지할 수 있다. 일반화 최소분산 자기동조 제어기 파라미터는 비선형 시스템을 선형시스템으로 간주하고 순환최소자승법으로 추정하며 설계계수의 값은 확률근사법인 Robbins-Monro 알고리듬을 이용하여 자동조정하였다. 역전파 학습 알고리듬을 사용하는 신경회로망 제어기는 비선형 부분의 제어를 보상하기 위해 필터된 기준입력과 필터된 플랜트 출력이 같도록 제어값을 출력한다. 컴퓨터 시뮬레이션을 통해 제안한 방법이 시스템의 파라미터가 변하는 비최소위상 시스템에 잘 적응함을 보였다.

Robust market-based control method for nonlinear structure

  • Song, Jian-Zhu;Li, Hong-Nan;Li, Gang
    • Earthquakes and Structures
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    • 제10권6호
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    • pp.1253-1272
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    • 2016
  • For a nonlinear control system, there are many uncertainties, such as the structural model, controlled parameters and external loads. Although the significant progress has been achieved on the robust control of nonlinear systems through some researches on this issue, there are still some limitations, for instance, the complicated solving process, weak conservatism of system, involuted structures and high order of controllers. In this study, the computational structural mechanics and optimal control theory are adopted to address above problems. The induced norm is the eigenvalue problem in structural mechanics, i.e., the elastic stable Euler critical force or eigenfrequency of structural system. The segment mixed energy is introduced with a precise integration and an extended Wittrick-Williams (W-W) induced norm calculation method. This is then incorporated in the market-based control (MBC) theory and combined with the force analogy method (FAM) to solve the MBC robust strategy (R-MBC) of nonlinear systems. Finally, a single-degree-of-freedom (SDOF) system and a 9-stories steel frame structure are analyzed. The results are compared with those calculated by the $H{\infty}$-robust (R-$H{\infty}$) algorithm, and show the induced norm leads to the infinite control output as soon as it reaches the critical value. The R-MBC strategy has a better control effect than the R-$H{\infty}$ algorithm and has the advantage of strong strain capacity and short online computation time. Thus, it can be applied to large complex structures.

DC 모터 파라메터 변동에 대한 면역 알고리즘 제어기 설계 (Immune Algorithm Controller Design of DC Motor with parameters variation)

  • 박진현;전향식;이민중;김현식;최영규
    • 한국지능시스템학회논문지
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    • 제12권4호
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    • pp.353-360
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    • 2002
  • PID 제어기의 자동 동조 방법이 제어분야에서 많은 연구가 되어 왔으며, 제안된 제어기 또한 PID 제어기 자동동조에 관한 연구이다. 제안된 면역 알고리즘은 인간의 면역 체계를 모방한 최적화 알고리즘으로 기억 세포 메카니즘과 다른 면역 알고리즘에 비하여 덜 복잡한 구조를 가지고 있다. 이렇게 제안된 면역 알고리즘을 PID 제어기의 파라메터를 최적화하는데 사용하고자 한다. 현재까지 면역 알고리즘은 주로 시스템 파라메터의 변동이 없는 최적화 문제에 적용되어왔다. 그러므로 면역 알고리즘에서의 기억세포 메카니즘에 대한 유용성이 없으며, 또한 그에 대한 연구가 미진한 상태이다. 본 연구에서는 비선형 가변 시스템에 기억세포를 사용한 면역 알고리즘을 적용하고자 한다. 제안된 면역 알고리즘의 성능 평가를 위하여 비선형 직류 모터의 속도 제어에 적용하고, 그 결과를 컴퓨터 모의실험을 통하여 제안된 면역 알고리즘이 가변 시스템 파리메에 대하여 빠른 수렴 성능과 좋은 제어 성능을 보임을 보이고자 한다.