• 제목/요약/키워드: Iteration Method

검색결과 1,147건 처리시간 0.022초

Multi-dimensional sensor placement optimization for Canton Tower focusing on application demands

  • Yi, Ting-Hua;Li, Hong-Nan;Wang, Xiang
    • Smart Structures and Systems
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    • 제12권3_4호
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    • pp.235-250
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    • 2013
  • Optimal sensor placement (OSP) technique plays a key role in the structural health monitoring (SHM) of large-scale structures. According to the mathematical background and implicit assumptions made in the triaxial effective independence (EfI) method, this paper presents a novel multi-dimensional OSP method for the Canton Tower focusing on application demands. In contrast to existing methods, the presented method renders the corresponding target mode shape partitions as linearly independent as possible and, at the same time, maintains the stability of the modal matrix in the iteration process. The modal assurance criterion (MAC), determinant of the Fisher Information Matrix (FIM) and condition number of the FIM have been taken as the optimal criteria, respectively, to demonstrate the feasibility and effectiveness of the proposed method. Numerical investigations suggest that the proposed method outperforms the original EfI method in all instances as expected, which is looked forward to be even more pronounced should it be used for other multi-dimensional optimization problems.

현수교 시스템의 초기형상 결정을 위한 개선된 초기부재력법 (An Improved Initial Force Method for Determining the Initial Configuration of Suspension Bridges)

  • 김민;김호경;김문영
    • 한국강구조학회 논문집
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    • 제23권2호
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    • pp.237-247
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    • 2011
  • 현수교의 초기평형상태를 결정하기 위한 개선된 초기부재력법을 제시한다. 먼저 현수교의 주케이블과 행어가 만나는 절점에서 힘의 평형조건을 이용하여 초기평형상태를 결정한 뒤, 이 때 계산된 주 케이블의 절점좌표와 각 케이블 부재의 무응력장을 입력 값으로 하여 초기부재력을 도입한 비선형 해석을 수행하였다. 일반적인 초기부재력법의 경우 각 단계에서 계산된 부재력을 통하여 케이블의 무응력장을 재산정하지만, 본 연구에서는 각 케이블 부재의 무응력장을 매 계산 단계에서 고정된 값으로 취한다. 2차원 및 3차원 현수교 모델에 공통적으로 적용할 수 있다. 수치예제 결과 값의 비교를 통하여 연구의 타당성을 검증하였다.

Nonlinear bending analysis of functionally graded CNT-reinforced composite plates

  • Cho, Jin-Rae
    • Steel and Composite Structures
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    • 제42권1호
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    • pp.23-32
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    • 2022
  • In this paper, a nonlinear numerical method to solve the large deflection problem is introduced. And the non-dimensional load-deflection behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates is parametrically investigated. The large deflection problem is formulated according to the von Kármán nonlinear theory and the (1,1,0)* hierarchical model, and it is approximated by 2-D natural element method (NEM). The shear locking phenomenon is suppressed by the selectively reduced integration method. The nonlinear matrix equations are solved by combining the incremental loading scheme and the Newton-Raphson iteration method. The proposed method is validated from the benchmark experiments, where the propose method shows an excellent agreement with the reference methods. The nonlinear behavior of FG-CNTRC plates is evaluated in terms of the non-dimensional load-deflection curve, and it is parametrically investigated with respect to the existence/non-existence and gradient pattern of CNTs, the width-to-thickness and aspect ratios of plates and the type of boundary conditions. The non-dimensional central deflection is significantly reduced when CNTs and added, and it decreases with the volume fraction of CNTs. But, it shows a uniform increase in proportion to the width-to-thickness and aspect ratios. Both the gradient pattern of CNTs and the type of boundary conditions do also show the remarkable effects.

변형률 공간에서 변형률속도 및 온도를 고려한 구성방정식의 개선된 적분방법 (Modified Integration Algorithm on the Strain-Space for Rate and Temperature Dependent Elasto-Plastic Constitutive model)

  • 조상순;허훈
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2007년도 춘계학술대회 논문집
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    • pp.272-275
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    • 2007
  • This paper is concerned with modified integration algorithm on the strain-space for rate and temperature dependent elasto-plastic constitutive relations in order to obtain more accurate results in numerical implementation. The proposed algorithm is integrated analytically using integration by part and chain rule and then is applied to the 2-stage Lobatto IIIA with second-order accuracy. It has advantage that is able to consider the convective stress rates on the yield surface of the strain-space. Also this paper is carried out the iteration procedure using the Newton-Raphson method to enforce consistency at the end of the step. And the performance of the proposed algorithm for rate and temperature dependent constitutive relation is illustrated by means of analysis of adiabatic shear bands.

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Fast LBG Algorithm to Reduce the Computational Complexity

  • Kim Dong-Hyun;Kang Chul-Ho
    • The Journal of the Acoustical Society of Korea
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    • 제24권4E호
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    • pp.123-127
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    • 2005
  • In this paper, we propose a new method for reducing the number of distance calculations in the LBG (Linde, Buzo, Gray) algorithm, which is widely used method to construct a codebook in vector quantization of speech recognition system. The proposed algorithm can reduce the distance calculation between input vector and codeword by utilizing the observation that codewords are quickly stabilized as the number of iteration increases. From the simulation results, it is shown that we can reduce the running times over $43.77\%$ on average in comparison with current LBG algorithm without sacrificing the performance of codebook.

회전 진동하는 원형실린더 주위 유동의 폐쇄효과 연구 (BLOCKAGE EFFECT ON FLOWS AROUND A ROTATIONALLY OSCILLATING CIRCULAR CYLINDER)

  • 강승희;권오준
    • 한국전산유체공학회지
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    • 제13권4호
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    • pp.33-38
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    • 2008
  • For study on the unsteady blockage effect, flows around a rotationally oscillating circular cylinder with relatively low forcing frequency in closed test-section wind tunnels have been numerically investigated by solving compressible Navier-Stokes equations. The numerical scheme is based on a node-based finite-volume method with the Roe's flux-difference splitting and an implicit time-integration method coupled with dual time-step sub-iteration. The computed results of the oscillating cylinder in the test section showed that the fluctuations of lift and drag are augmented by the blockage effects. The drag further increases because of low base pressure. The pressure on the test section wall shows the harmonics having the oscillating and the shedding frequencies contained in the blockage effect.

계층적 반복법을 이용한 비압축성 유동계산 (An Incompressible Flow Computation using a Hierarchical Iterative Method)

  • 김진환;정창률
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2004년도 학술대회지
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    • pp.216-221
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    • 2004
  • In two dimensional incompressible flaws, a preconditioning technique called Hierarchical Iterative Procedure(HIP) has been implemented on a SUPG finite element formulation. By using the SUPG formulation, one can escape from the LBB constraint and hence achieve an equal order formulation. In this paper, we increased the order of interpolation up to cubic. The conjugate gradient squared(CGS) method is used for the outer iteration, and the HIP for the preconditioning for the incompressible Navier-Stokes equation. The hierarchical elements has been used to achieve a higher order accuracy in fluid flaw analyses, but a proper efficient iterative procedure for higher order finite element formulation has not been available so far. The numerical results by the present HIP for the lid driven cavity flaw showed the present procedure to be stable, very efficient and useful in flaw analyses in conjunction with hierarchical elements.

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COMPUTATIONAL PITFALLS OF HIGH-ORDER METHODS FOR NONLINEAR EQUATIONS

  • Sen, Syamal K.;Agarwal, Ravi P.;Khattri, Sanjay K.
    • Journal of applied mathematics & informatics
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    • 제30권3_4호
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    • pp.395-411
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    • 2012
  • Several methods with order higher than that of Newton methods which are of order 2 have been reported in literature for solving nonlinear equations. The focus of most of these methods was to economize on/minimize the number of function evaluations per iterations. We have demonstrated here that there are several computational pit-falls, such as the violation of fixed-point theorem, that one could encounter while using these methods. Further it was also shown that the overall computational complexity could be more in these high-order methods than that in the second-order Newton method.

홀로그래픽 정보 저장 장치의 데이터 페이지 주파수 특성 및 광학 시스템 표현 (Frequency characters of Holographic data storage system's data page And Description of optical system)

  • 김활;전성빈;김도형;박노철;박영필
    • 정보저장시스템학회논문집
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    • 제11권1호
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    • pp.1-5
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    • 2015
  • The selective frequency analysis method is suggested in the holographic data storage system with the nyquist aperture to reduce the size of hologram. The image filter was designed with many different methods to improve the bit error rate caused by the nyquist aperture. In previous the methods of image restoration for HDS, an iteration time and a highly precise point spread function were necessary. In this paper, we describe the optical system with analytic method. Thereby, we expect our result help the researchers to design the filter.

이산 트랙탈 보간법을 이용한 영상 부호화 알고리즘 (An image coding algorithm using fractal interpolation method)

  • 이승현;정현민;윤택현;최일상;박규태
    • 전자공학회논문지B
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    • 제33B권6호
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    • pp.82-91
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    • 1996
  • In this paper, an image coding technique using fractal interpolation is proposed. Similar to the conventional methods, an image is partitioned into blocks and each block is coded independently. However, an interpolation point is ahsared by its neighboring blocks. This means that each block can use all its interpolation points with minimal increase of new data. For a simple implementation, triangular blocks are used instead of square blocks and new coefficients are difined. Data obtained in the encoding process hav estatistical characteristics suitable sfor entropy coding, an dthus arithmetic coding is perfomred for improving the compression efficiency. The results of the proposed coder in comparison with those of a conventional coder show that the interpolation method reduces block effect caused by a memoryless block coder, especially at low bit rates. This improvement is due to sharing of information between adjacent blocks. Moreover, th enumber of iteration required in ecoding process is reduced since more information is used to decode each block.

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