• 제목/요약/키워드: Gauss-Newton Method

검색결과 107건 처리시간 0.026초

불균일 단면을 갖는 저장력 예인케이블의 동적해석을 위한 수치해석적 연구 (A Study on Numerical Simulation for Dynamic Analysis of Towed Low-Tension Cable with Nonuniform Characteristics)

  • 정동호
    • 한국전산구조공학회논문집
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    • 제16권1호
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    • pp.69-76
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    • 2003
  • 최근 들어 심해역에 대한 개발과 합섬섬유 재질 케이블의 발달로 인하여 저장력 케이블의 사용이 증가되었다. 저장력 케이블은 장력에 의한 복원력이 작기 때문에 대변위가 발생하게 되며, 따라서 기하학적 비선형이 강하게 나타나게 된다. 또한 해양환경에서는 유체 비선형도 작용하게 된다. 본 연구에서는 수치해석적 방법을 통하여 불균일하게 구성된 예인되는 저장력 케이블의 3차원 동적거동 해석을 수행한다. 수치해석에서는 유체 및 기하학적 비선형과 굽힘강성이 고려되며, 유한차분법(음해법)을 적용하여 풀이된다. 비선형 해를 구하기 위해서 뉴톤-랍슨 방법을 사용한다. 대형 행렬을 풀이하기 위하여 불록삼중대각행렬 풀이법이 적용되는데, 이 방법은 일반적인 행렬 풀이법인 가우스-조르단 방법에 비하여 계산시간을 상당히 줄일 수 있었다. 선배열 음탐 케이블에 대한 다양한 예제해석을 수행하였으며, 해석결과는 미국 우즈홀 해양연구소에서 개발된 프로그램 결과와 잘 일치하였다.

Face Recognition Based on Improved Fuzzy RBF Neural Network for Smar t Device

  • Lee, Eung-Joo
    • 한국멀티미디어학회논문지
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    • 제16권11호
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    • pp.1338-1347
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    • 2013
  • Face recognition is a science of automatically identifying individuals based their unique facial features. In order to avoid overfitting and reduce the computational reduce the computational burden, a new face recognition algorithm using PCA-fisher linear discriminant (PCA-FLD) and fuzzy radial basis function neural network (RBFNN) is proposed in this paper. First, face features are extracted by the principal component analysis (PCA) method. Then, the extracted features are further processed by the Fisher's linear discriminant technique to acquire lower-dimensional discriminant patterns, the processed features will be considered as the input of the fuzzy RBFNN. As a widely applied algorithm in fuzzy RBF neural network, BP learning algorithm has the low rate of convergence, therefore, an improved learning algorithm based on Levenberg-Marquart (L-M) for fuzzy RBF neural network is introduced in this paper, which combined the Gradient Descent algorithm with the Gauss-Newton algorithm. Experimental results on the ORL face database demonstrate that the proposed algorithm has satisfactory performance and high recognition rate.

전자파를 이용한 유방암 영상 복원 알고리즘 (Image reconstruction algorithm for Breast cancer by electromagnetic field)

  • 이윤주;김혁제;이종문;손성호;전순익
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2008년도 하계종합학술대회
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    • pp.1089-1090
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    • 2008
  • In this paper, it is applied the reconstruction algorithm to detection of breast cancer. To solve the forward and inverse problem, Finite-Difference Time-Domain (FDTD), Tikhonov regularization and Gauss-Newton method are used. And to confirm the accuracy of the algorithm, it is applied to arbitrary model.

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An efficient 3D inversion of magnetotelluric data

  • Han, Nu-Ree;Choi, Ji-Hyang;Nam, Myung-Jin;Kim, Hee-Joon;Lee, Tae-Jong;Song, Yoon-Ho;Suh, Jung-Hee
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2007년도 공동학술대회 논문집
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    • pp.261-266
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    • 2007
  • An efficient three-dimensional (3D) inversion of magnetotelluric (MT) data can be carried out by using approximate sensitivities or avoiding the calculation of a full sensitivity matrix. In this paper, we propose approximate sensitivities for efficient 3D MT inversion based on the Gauss-Newton method and test and compare four kinds of sensitivities. Applying the four sensitivities to both synthetic and field data shows that the effects of sensitivities are highly dependent on data and thus applying various combinations of sensitivities is recommended for efficient inversion and good images.

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위성-지상간 광통신용 지상단말기의 위성 지향을 위한 PAA 도출 및 제어 알고리즘 (Point Ahead Angle(PAA) Estimation and a Control Algorithm for Satellite-Pointing of the Ground Terminal in Satellite-to-Ground Optical Communication)

  • 윤태현
    • 한국군사과학기술학회지
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    • 제27권3호
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    • pp.329-337
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    • 2024
  • Free-space optical communication technology enables the high-speed data transmission and excellent anti-jamming security. We conduct research on satellite-to-ground free-space optical communication links for high-speed transmission of large-capacity surveillance and reconnaissance data. Since the satellite continues to move along its orbit while the optical signal is transmitted between the satellite and the ground, the pointing angle of the beam from the ground terminal needs to be corrected by Point Ahead Angle(PAA) so that the transmitted light reaches the expected location of the satellite. In this paper, we present the algorithm for PAA estimation and control.

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

  • Xu, Yalan;Qian, Yu;Song, Gangbing;Guo, Kongming
    • Steel and Composite Structures
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    • 제19권1호
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    • pp.191-208
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    • 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.

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
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    • 제21권4호
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    • pp.49-56
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    • 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.

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
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    • 제58권3호
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    • pp.548-558
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    • 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.

TDOA/FDOA 복합 위치추정 시스템에서 FDOA 측정 정확도에 따른 추정 성능 기여도 분석 (Analysis on the Contribution of FDOA Measurement Accuracy to the Performance of Combined TDOA/FDOA Localization Systems)

  • 김동규;김용희;한진우;송규하;김형남
    • 전자공학회논문지
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    • 제51권5호
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    • pp.88-96
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    • 2014
  • 현대 전자전 지원 시스템에서는 TDOA (time difference of arrival)나 FDOA (frequency difference of arrival)와 같은 비도래각 정보를 이용하여 미상 신호원의 위치를 추정하는 정밀 위치추정 기법의 필요성이 높아지고 있다. 기존의 단일 TDOA 기반 기법에 관한 연구는 위치추정 알고리즘뿐만 아니라 측정 정확도 향상에 대해 다양한 진척이 이루어졌으며, 최근에는 TDOA와 FDOA 정보를 동시에 사용하여 적은 수신단 수로 보다 많은 정보를 획득할 수 있고 신호원의 속도 추정이 가능한 복합 위치추정 시스템에 관한 연구가 수행되고 있다. 이러한 과정에서 TDOA/FDOA 복합 위치추정 시스템이 기존 단일 TDOA 시스템을 대체할 수 있는 추정 성능을 갖기 위해 요구되는 FDOA 측정 정확도와 성능분석 과정이 필요하다. 본 논문에서는 CRLB (Cramer-Lao lower bound)의 분석을 통해 TDOA/FDOA 위치추정 시스템이 단일 TDOA 위치추정 시스템에 비해 향상된 추정 정확도를 갖기 위해 요구되는 FDOA 측정 정확도의 기준과 이에 따른 기여도를 분석하고, Gauss-Newton 알고리즘을 이용하여 분석 결과를 검증한다.

IDENTIFICATINO OF DYNAMIC PARAMETER OF THE RUBBER CRAVLES SYSTEM FOR FARM MACHINERY

  • Inoue, Eiji;Konya, Hideyuki;Hirai, Yasumaru;Noguchi, Ryozo;Hashiguchi, Koichi;Choe, Jung-Seob
    • 한국농업기계학회:학술대회논문집
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    • 한국농업기계학회 2000년도 THE THIRD INTERNATIONAL CONFERENCE ON AGRICULTURAL MACHINERY ENGINEERING. V.II
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    • pp.146-153
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    • 2000
  • The rubber crawler system for farm machine is composed of driving units such as track rollers, driving sprockets and rubber crawlers. Vibration characteristics of the rubber crawler system varies by driving speed, center of gravity, mass□moment of inertial□location arrangement of track rollers and dynamic parameters such as dynamic spring constant (k) and viscous damping coefficient (c) of a rubber crawler. In general, vibration of the rubber crawler system occurs by reason for mechanical interaction between the rubber crawler and track rollers. Because the dynamic spring constant and viscous damping coefficient vary periodically by mechanical characteristics(deformation characteristics) of the rubber crawler when track rollers drive on the between lugs of the rubber crawler. Therefore, both dynamic parameters k and c were expressed as Fourier series by authors through the shaking test of the rubber crawler and further, vibration characteristics of the rubber crawler system could be simulated analytically. However, actual values of dynamic parameters k and c are different from those obtained by the shaking test because dynamic characteristics of the rubber crawler vary by the effect of variable tension and driving resistance of track rollers. So, actual values of k and c should be identified in the condition of actual driving test. In this study, dynamic parameters such as k and c of the rubber crawler system, which are expressed as Fourier series, were identified using the Gauss-Newton Method. Therefore, validity of identified parameters k and c was discussed through the simulation using experimental data of actual driving test. As a result, in the Fourier series of dynamic parameters of spring constant k and viscous damping coefficient c, excellent parameter convergence and simulation were observed using the Fourier series' zero order and first term of the dynamic model. Furthermore, it was clarified that identification for model parameters which are fitted to actual dynamic motion (vibration) wave of the crawler system was possible by using the time series data observed in vertical and pitching motion of the crawler system.

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