• Title/Summary/Keyword: 뉴턴-랩슨

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Local Nonlinear Static Analysis via Static Condensation (강성응축기법을 이용한 국부 비선형 정적 해석)

  • Shin, Han-Seop;Oh, Min-Han;Boo, Seung-Hwan
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.27 no.1
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    • pp.193-200
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    • 2021
  • In this study, an analysis technique using static condensation is proposed for an efficient local nonlinear static analysis. The static condensation method is a model reduction method based on the degrees of freedom, and the analysis model is divided into a target part and a condensed part to be omitted. In this study, the nonlinear and linear parts were designated to the target and the omitted parts, respectively, and both the stiffness matrix and load vector corresponding to the linear part were condensed into the nonlinear part. After model condensation, the reduced model comprising the stiffness matrix and the load vector for the nonlinear part is constructed, and only this reduced model was updated through the Newton-Raphson iteration for an efficient nonlinear analysis. Finally, the efficiency and reliability of the proposed analysis technique were presented by applying it to various numerical examples.

A Study on the Acceleration of the Solution Convergence for the Rigid Plastic FEM (강소성 유한요소해석에서 해의 수렴 가속화에 관한 연구)

  • 최영
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.347-350
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    • 2004
  • In this paper, the acceleration is studied for the rigid-plastic FEM of metal forming simulation. In the FEM, the direct iteration and Newton-Raphson iteration are applied to obtain the initial solution and accurate solution respectively. In general, the acceleration scheme for the direct iteration is not used. In this paper, an Aitken accelerator is applied to the direct iteration. In the modified Newton-Raphson iteration, the step length or the deceleration coefficient is used for the fast and robust convergence. The step length can be determined by using the accelerator. The numerical experiments have been performed for the comparisons. The faster convergence is obtained with the acceleration in the direct and Newton-Raphson iterations.

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A 3D Image Measurement Algorithm for the Distance Measurement to the Object on 3D Plane (평면상에 존재하는 물체의 거리계측을 위한 3차원 영상계측 알고리즘)

  • 김용준;서경호;김태효
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2000.12a
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    • pp.65-68
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    • 2000
  • 본 논문에서는 평면상에 존재하는 물체까지의 거리를 카메라시스템을 이용하여 실제 거리를 계측하는 알고기즘을 제안하였다. 계측 시스템을 교정하기 위해, 우선 3차인 실세계 좌표계와 2차원의 카메라 좌표계의 관계를 해석하고, 카메라의 변수들을 포함하는 카메라 좌표계의 변수들을 구하였다. 한편, 3파원 공간에서 계측면을 평면으로 가정하고 평면의 방정식과 좌표계 변환 방정식으로부터 뉴턴-랩슨법을 이용하여 최소값에 대응하는 근사치를 구함으로써 물체까지의 거리 정보를 추출하였다. 실제의 계측 실험에서, 도로에 표준 물체인 Ca]ibration 시트를 두고 승용차의 백미러 위치에 카메라를 설치하고 영상을 획득하였다. 계측 거리는 4m부터 lOm까지는 1m간격으로 계측하고, 10m부터 30m까지는 10m간격으로 계측하였다. 그 결과 4m에서는 약 1.4mm의 오차가 발생하였고, 30m의 거리에서는 3.5m의 오차를 보였는데 계측 거리가 길어질수록 오차가 지수함수적으로 증가함을 알 수 있었다.

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A Study on the Stability Boundaries for Single Layer Latticed Domes and Arch under Combined Loads (조합하중를 받는 단층 래티스 돔과 아치의 안정경계에 관한 연구)

  • Han, Sang-Eul;Lee, Sang-Ju;Lee, Kap-Su
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.3 s.13
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    • pp.103-109
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    • 2004
  • The lowest load when the equilibrium condition becomes to be unstable is defined as the buckling load. The primary objective of this paper is to be analyse stability boundaries for star dome under combined loads and is to investigate the iteration diagram under the independent loading parameter. In numerical procedure of the geometrically nonlinear problems, Arc Length Method and Newton-Raphson iteration method is used to find accurate critical point(bifurcation point and limit point). In this paper independent loading vector is combined as proportional value and star dome was used as numerical analysis model to find stability boundary among load parameters and many other models as multi-star dome and arch were studied. Through this study we can find the type of buckling mode and the value of buckling load.

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Finite Element Analysis of Bolted Connections Using Joint Elements (접합요소를 이용한 볼트 접합부의 유한요소해석)

  • 변대근;윤성기;박성수
    • Computational Structural Engineering
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    • v.7 no.2
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    • pp.139-146
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    • 1994
  • In this study, the finite element analysis using joint elements, bolt elements, and shell elements is presented to investigate the behavior of bolted connections. The contact of plates and the high-strength, pretensioned bolts are simply idealized by joint elements and bolt elements, respectively. The initial stiffness is determined through the presented method and the non-linear analysis is archived by a constant-arc-length method based on Newton-Raphson method. The analysis results of a semi-rigid connection(web & flange angles) and a moment connection (shear & moment plates) demonstrate the exactness and applicability of the presented method. And the results indicates that the consideration of slip and 3-dimensional deformation is needed for an accurate prediction of bolted connections.

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Evaluation of Two Robot Vision Control Algorithms Developed Based on N-R and EKF Methods for Slender Bar Placement (얇은막대 배치작업에 대한 N-R 과 EKF 방법을 이용하여 개발한 로봇 비젼 제어알고리즘의 평가)

  • Son, Jae Kyung;Jang, Wan Shik;Hong, Sung Mun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.4
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    • pp.447-459
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    • 2013
  • Many problems need to be solved before vision systems can actually be applied in industry, such as the precision of the kinematics model of the robot control algorithm based on visual information, active compensation of the camera's focal length and orientation during the movement of the robot, and understanding the mapping of the physical 3-D space into 2-D camera coordinates. An algorithm is proposed to enable robot to move actively even if the relative positions between the camera and the robot is unknown. To solve the correction problem, this study proposes vision system model with six camera parameters. To develop the robot vision control algorithm, the N-R and EKF methods are applied to the vision system model. Finally, the position accuracy and processing time of the two algorithms developed based based on the EKF and the N-R methods are compared experimentally by making the robot perform slender bar placement task.

A Study on the Development of a Robot Vision Control Scheme Based on the Newton-Raphson Method for the Uncertainty of Circumstance (불확실한 환경에서 N-R방법을 이용한 로봇 비젼 제어기법 개발에 대한 연구)

  • Jang, Min Woo;Jang, Wan Shik;Hong, Sung Mun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.3
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    • pp.305-315
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    • 2016
  • This study aims to develop a robot vision control scheme using the Newton-Raphson (N-R) method for the uncertainty of circumstance caused by the appearance of obstacles during robot movement. The vision system model used for this study involves six camera parameters (C1-C6). First, the estimation scheme for the six camera parameters is developed. Then, based on the six estimated parameters for three of the cameras, a scheme for the robot's joint angles is developed for the placement of a slender bar. For the placement of a slender bar for the uncertainty of circumstances, in particular, the discontinuous robot trajectory caused by obstacles is divided into three obstacle regions: the beginning region, middle region, and near-target region. Then, the effects of obstacles while using the proposed robot vision control scheme are investigated in each obstacle region by performing experiments with the placement of the slender bar.

The study on Lightness and Performance Improvement of Universal Code (BL-beta code) for Real-time Compressed Data Transferring in IoT Device (IoT 장비에 있어서 실시간 데이터 압축 전송을 위한 BL-beta 유니버설 코드의 경량화, 고속화 연구)

  • Jung-Hoon, Kim
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.15 no.6
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    • pp.492-505
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    • 2022
  • This study is a study on the results of improving the logic to effectively transmit and decode compressed data in real time by improving the encoding and decoding performance of BL-beta codes that can be used for lossless real-time transmission of IoT sensing data. The encoding process of BL-beta code includes log function, exponential function, division and square root operation, etc., which have relatively high computational burden. To improve them, using bit operation, binary number pattern analysis, and initial value setting of Newton-Raphson method using bit pattern, a new regularity that can quickly encode and decode data into BL-beta code was discovered, and by applying this, the encoding speed of the algorithm was improved by an average of 24.8% and the decoding speed by an average of 5.3% compared to previous study.

Internal Dose Assessment of Worker by Radioactive Aerosol Generated During Mechanical Cutting of Radioactive Concrete (원전 방사성 콘크리트 기계적 절단의 방사성 에어로졸에 대한 작업자 내부피폭선량 평가)

  • Park, Jihye;Yang, Wonseok;Chae, Nakkyu;Lee, Minho;Choi, Sungyeol
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.18 no.2
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    • pp.157-167
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    • 2020
  • Removing radioactive concrete is crucial in the decommissioning of nuclear power plants. However, this process generates radioactive aerosols, exposing workers to radiation. Although large amounts of radioactive concrete are generated during decommissioning, studies on the internal exposure of workers to radioactive aerosols generated from the cutting of radioactive concrete are very limited. In this study, therefore, we calculate the internal radiation doses of workers exposed to radioactive aerosols during activities such as drilling and cutting of radioactive concrete, using previous research data. The electrical-mobility-equivalent diameter measured in a previous study was converted to aerodynamic diameter using the Newton-Raphson method. Furthermore, the specific activity of each nuclide in radioactive concrete 10 years after nuclear power plants are shut down was calculated using the ORIGEN code. Eventually, we calculated the committed effective dose for each nuclide using the IMBA software. The maximum effective dose of 152Eu constituted 83.09% of the total dose; moreover, the five highest-ranked elements (152Eu, 154Eu, 60Co, 239Pu, 55Fe) constituted 99.63%. Therefore, we postulate that these major elements could be measured first for rapid radiation exposure management of workers involved in decommissioning of nuclear power plants, even if all radioactive elements in concrete are not considered.