• 제목/요약/키워드: Gauss-Newton

검색결과 129건 처리시간 0.031초

Damage detection using finite element model updating with an improved optimization algorithm

  • Xu, Yalan;Qian, Yu;Song, Gangbing;Guo, Kongming
    • Steel and Composite Structures
    • /
    • 제19권1호
    • /
    • pp.191-208
    • /
    • 2015
  • The sensitivity-based finite element model updating method has received increasing attention in damage detection of structures based on measured modal parameters. Finding an optimization technique with high efficiency and fast convergence is one of the key issues for model updating-based damage detection. A new simple and computationally efficient optimization algorithm is proposed and applied to damage detection by using finite element model updating. The proposed method combines the Gauss-Newton method with region truncation of each iterative step, in which not only the constraints are introduced instead of penalty functions, but also the searching steps are restricted in a controlled region. The developed algorithm is illustrated by a numerically simulated 25-bar truss structure, and the results have been compared and verified with those obtained from the trust region method. In order to investigate the reliability of the proposed method in damage detection of structures, the influence of the uncertainties coming from measured modal parameters on the statistical characteristics of detection result is investigated by Monte-Carlo simulation, and the probability of damage detection is estimated using the probabilistic method.

NURB 곡선을 이용한 가스절연 원통형 관로 내에서의 전계 최적화 (Electric Field Optimization using the NURB curve in a Gas-Insulated Switchgear)

  • 한인수;김응식;민석원;이준호;박종근;이태형;박춘수
    • 전기학회논문지
    • /
    • 제58권3호
    • /
    • pp.548-558
    • /
    • 2009
  • This paper attempts to develop an algorithm which optimizes the electric field through the so-called NURB(Non-Uniform Rational B-spline) curve in order to improve the insulation capacity. In particular, the NURB curve is a kind of interpolation curve that can be expressed by a few variables. The electric field of a conductor is computed by Charge Simulation Method(CSM) while that of a spacer by Surface Charge Method(SCM); this mixed calculation method is adopted for the electric field optimization. For calculation of the initial and optimal shapes, the Gauss-Newton method, which is quite easy to formulate and has slightly faster convergence rate than other optimization techniques, was used. The tangential electric field, the total electric field, and the product of the tangential electric field and area (Area Effect) were chosen as the optimization objective function by the average value of electric field for the determined initial shape.

활률적 클러스터링에 의한 움직임 파라미터 추정과 세그맨테이션 (Motion Parameter Estimation and Segmentation with Probabilistic Clustering)

  • 정차근
    • 방송공학회논문지
    • /
    • 제3권1호
    • /
    • pp.50-60
    • /
    • 1998
  • 본 논문에서는 콤팩트한 동영상 표현과 객체기반의 generic한 동영상압축을 위한 파라미터릭 움직임 모델의 파라미터 추정과 세그맨테이션 기법에 관해서 기술한다. 동영상의 optical flow와 같은 국소적 움직임 정보와 파라미터 움직임 모델의 특징을 이용해서 영상의 콤팩트한 구조적 표현을 추출하기 위해, 본 논문에서는 2 스템의 과정 즉, 초기영역을 추출하는 과정과, 파라미터릭 움직임 파라미터의 추정과 세그맨테이션을 동시에 수행하는 과정으로 구성된 새로운 알고리즘을 제안한다. 혼합 모델이 ML 추정에 의거한 확률적 클러스터링에 의해 움직임 물체의 움직임과 형상을 반영한 초기영역을 추출하고, 파라미터릭 움직임 모델을 사용해서 각각의 초기 영역마다 움직임 파라미터를 추정하고 세그맨테이션을 수행한다. 또한, CIF 표준 동영상을 사용한 모의 실험을 통해 본 제안 알고리즘의 유효성을 평가한다.

  • PDF

등방성 및 복합재 플레이트용 16절점 요소의 강성행렬 계산 (Evaluation of Stiffness Matrix of 3-Dimensional Elements for Isotropic and Composite Plates)

  • 윤태혁;김정운;이재복
    • 대한기계학회논문집
    • /
    • 제18권10호
    • /
    • pp.2640-2652
    • /
    • 1994
  • The stiffness of 6-node isotropic element is stiffer than that of 8-node isotropic element of same configuration. This phenomenon was called 'Relative Stiffness Stiffening Phenomenon'. In this paper, an equation of sampling point modification which correct this phenomenon was derived for the composite plate, as well as an equation for an isotropic plate. The relative stiffness stiffening phenomena of an isotropic plate element could be corrected by modifying Gauss sampling points in the numerical integration of stiffness matrix. This technique could also be successfully applied to the static analyses of composite plate modeled by the 3-dimensional 16-node elements. We predicted theoretical errors of stiffness versus the number of layers that result from the reduction of numerical integration order. These errors coincide very well with the actual errors of stiffness. Therefore, we can choose full integration of reduced integration based upon the permissible error criterion and the number of layers by using the thoretically predicted error.

향상된 슈도-헤시안 행렬을 이용한 탄성파 완전 파형역산 (Frequency domain elastic full waveform inversion using the new pseudo-Hessian matrix: elastic Marmousi-2 synthetic test)

  • 최윤석;신창수;민동주
    • 한국지구물리탐사학회:학술대회논문집
    • /
    • 한국지구물리탐사학회 2007년도 공동학술대회 논문집
    • /
    • pp.329-336
    • /
    • 2007
  • For scaling of the gradient of misfit function, we develop a new pseudo-Hessian matrix constructed by combining amplitude field and pseudo-Hessian matrix. Since pseudo- Hessian matrix neglects the calculation of the zero-lag auto-correlation of impulse responses in the approximate Hessian matrix, the pseudo-Hessian matrix has a limitation to scale the gradient of misfit function compared to the approximate Hessian matrix. To validate the new pseudo- Hessian matrix, we perform frequency-domain elastic full waveform inversion using this Hessian matrix. By synthetic experiments, we show that the new pseudo-Hessian matrix can give better convergence to the true model than the old one does. Furthermore, since the amplitude fields are intrinsically obtained in forward modeling procedure, we do not have to pay any extra cost to compute the new pseudo-Hessian. We think that the new pseudo-Hessian matrix can be used as an alternative of the approximate Hessian matrix of the Gauss-Newton method.

  • PDF

다중경로 환경에서의 TOA방식과 TDOA방식의 측위성능 비교 (Comparisons of Error Characteristics between TOA and TDOA Positioning in Dense Multipath Environment)

  • 박지원;박지희;송승헌;성태경
    • 전기학회논문지
    • /
    • 제58권2호
    • /
    • pp.415-421
    • /
    • 2009
  • TOA(time-of-arrival) and TDOA(time-difference-of-arrival) positioning techniques are commonly used in many radio-navigation systems. From the literature, it is known that the position estimate and error covariance matrix of TDOA obtained by GN(Gauss-Newton) method is exactly the same as that of TOA when the error source of the range measurement is only an IID white Gaussian noise. In case of geo-location and indoor positioning, however, multi-path or NLOS(non-line-of-sight) error is frequently appeared in range measurements. Though its occurrence is random, the multipath acts like a bias for a stationary user if it occurs. This paper presents the comparisons of error characteristics between TOA and TDOA positioning in presence of multi-path or NLOS error. It is analytically shown that the position estimate of TDOA is exactly the same as that of TOA even when bias errors are included in range measurements with different magnitudes. By computer simulation, position estimation error and error distribution are analyzed in presence of range bias errors.

철근콘크리트의 3차원 재료비선형해석 (A Three-Dimensional Material Nonlinear Analysis of Reinforced Concrete)

  • 박성수;성재표
    • 콘크리트학회지
    • /
    • 제8권2호
    • /
    • pp.119-127
    • /
    • 1996
  • 본 연구는 철근콘크리트 부재의 3차원 재료적 비선형해석을 하기 위한 것이다. 콘크리트는 3축 비선형 응력-변형률 거동, 균열, 파쇄 및 변형률완화를 포함하는 3차원 16절점 고체요소를 사용하고, 철근은 변형률경화를 갖는 3차원 3절점 트러스요소를 사용한다. 균열 후 골재의 맞물림을 고려하는 유효전단계수를 평가하기 위해서 균열의 진행여부에 따른 전단유지계수를 도입하였으며, 수치해를 얻기 위해 수정뉴턴방법을 사용하였다. 가우스점에서의 해석결과는 그래픽으로 확인된다. 수치예제로서 Krahl의 철근콘크리트 보와 Hedgren의 철근콘크리트 쉘을 채택하여 해석결과와 비교하였다.

배전계통에 적용된 조류계산 알고리즘 적용사례 및 미래형 연구 (Current Case & Future Study applied on Distribution System Load Flow Algorithm)

  • 이상성;송광재;손진만;한중교;이태용;박종근;문승일;김재철;이송근
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2003년도 추계학술대회 논문집 전력기술부문
    • /
    • pp.181-183
    • /
    • 2003
  • 본 연구에서는 현재 국내-외 논문을 참조하여 배전계통에 적용된 조류계산 알고리즘의 적용사례를 조사하였다. 배전계통에 적용된 조류계산알고리즘은 Power Summation Method와 Current Summation Method가 있다. 배전계통은 선로의 구조가 거의 대부분 방사상으로 성되어 있기 때문에 Newton Raphson, Gauss Seidel, Fast Decoupled 방법을 그대로 사용하기는 문제가 있다. 그래서 DistFlow, Forward/Backward sweeping 법 등이 주로 사용되어 왔다. 그러나 미래의 계통은 현재와는 또 다른 Topology로 방사상과 루프가 혼합된 형태로 다르게 구성되어야 할 것이다. 이러한 상황에서 미래의 배전계통에 대하여 적용 가능한 알고리즘을 전망하고져 한다.

  • PDF

TAPINS: A THERMAL-HYDRAULIC SYSTEM CODE FOR TRANSIENT ANALYSIS OF A FULLY-PASSIVE INTEGRAL PWR

  • Lee, Yeon-Gun;Park, Goon-Cherl
    • Nuclear Engineering and Technology
    • /
    • 제45권4호
    • /
    • pp.439-458
    • /
    • 2013
  • REX-10 is a fully-passive small modular reactor in which the coolant flow is driven by natural circulation, the RCS is pressurized by a steam-gas pressurizer, and the decay heat is removed by the PRHRS. To confirm design decisions and analyze the transient responses of an integral PWR such as REX-10, a thermal-hydraulic system code named TAPINS (Thermal-hydraulic Analysis Program for INtegral reactor System) is developed in this study. Based on a one-dimensional four-equation drift-flux model, TAPINS incorporates mathematical models for the core, the helical-coil steam generator, and the steam-gas pressurizer. The system of difference equations derived from the semi-implicit finite-difference scheme is numerically solved by the Newton Block Gauss Seidel (NBGS) method. TAPINS is characterized by applicability to transients with non-equilibrium effects, better prediction of the transient behavior of a pressurizer containing non-condensable gas, and code assessment by using the experimental data from the autonomous integral effect tests in the RTF (REX-10 Test Facility). Details on the hydrodynamic models as well as a part of validation results that reveal the features of TAPINS are presented in this paper.

비선형 내력법을 이용한 단일 공기막의 형상 탐색 (Form Finding of a Single-layered Pneumatic Membrane Structures by Using Nonlinear Force Method)

  • 손수덕;하준홍;이승재
    • 한국공간구조학회논문집
    • /
    • 제21권4호
    • /
    • pp.49-56
    • /
    • 2021
  • This study aims to develop a form-finding algorithm for a single-layered pneumatic membrane. The initial shape of this pneumatic membrane, which is an air-supported type pneumatic membrane, is to find a state in which a given initial tension and internal pneumatic pressure are in equilibrium. The algorithm developed to satisfy these conditions is that a nonlinear optimization problem based on the force method considering the deformed shape is formulated, and, it's able to find the shape by iteratively repeating the process of obtaining a solution of the governing equations. An computational technique based on the Gauss-Newton method was used as a method for obtaining solutions of nonlinear equations. In order to verify the validity of the proposed form-finding algorithm, a single-curvature pneumatic membrane example and a double-curvature air pneumatic membrane example were adopted, respectively. In the results of these examples, it was possible to well observe the step-by-step convergence process of the shape of the pneumatic membrane, and it was also possible to confirm the change in shape according to the air pressure. In addition, the calculation results of the shape and internal force after deformation due to initial tension, air pressure, and self-weight were obtained.