• Title/Summary/Keyword: Newton-Raphson

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Geometrically Nonlinear Analysis of Higher Order Plate Bending Finite Element (고차 판 유한요소의 기하학적 비선형 해석)

  • Shin, Young Shik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.3
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    • pp.1-10
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    • 1988
  • A higher order plate bending finite element using cubic in-plane displacement profiles is proposed for geometrically nonlinear analysis of thin and thick plates. The higher order plate bending element has been derived from the three dimensional plate-like continuum by discretization of the equations of motion by Galerkin weighted residual method, together with enforcing higher order plate assumptions. Total Lagrangian formulation has been used for geometrically nonlinear analysis of plates and consistent linearization by Newton-Raphson method has been performed to solve the nonlinear equations. The element characteristics have been computed by, selective reduced integration technique using Gauss quadrature to avoid shear locking phenomenon in case of extremely thin plates. Several numerical examples were solved with FEAP macro program to demonstrate versatility and accuracy of the present higher order plate bending element.

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Stream Discharge Estimation by Hydraulic Channel Routing and Stage Measurement (수위관측과 수리학적 하도추적에 의한 하천유량 간접추정)

  • Lee, Sang-Ho;Gang, Sin-Uk
    • Journal of Korea Water Resources Association
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    • v.34 no.5
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    • pp.543-549
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    • 2001
  • This research estimated stream discharges indirectly by hydraulic channel routing. Only stage data from three stage stations and river cross section data were used to estimate Manning roughness coefficients and to compute stream discharges. When the discharges were estimated a stage-stage set of conditions was used for upstream-downstream boundary conditions. The research used the data from the upper Mississippi River. The hydraulic channel routings were performed by DWOPER (operational dynamic wave model). The global optimization program of SCE-UA was used to improve the roughness coefficient estimation module of the modified Newton-Raphson method in DWOPER. The results from SCE-US were better. For the case study of a flood, most estimated discharges except a few show errors within 10%.

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3-블레이드 회전익 항공기에서 기하학적 정밀 보의 공탄성 모델을 이용한 무베어링 로터의 자이로스코픽 세차 진동 제어

  • Im, Byeong-Uk;Kim, Yong-Se;Sin, Sang-Jun
    • Proceeding of EDISON Challenge
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    • 2017.03a
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    • pp.270-281
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    • 2017
  • In this paper, a vibratory disturbance to the rotor system generated by gyroscopic precession through helicopter rotor is examined. Also, active vibration reduction method is designed and simulated by designing feedback controller. For this purpose, structural analysis is carried out using EDISON's geometric exact beam program which can analyze the rotor with the cantilever condition. And the aeroelastic analysis is performed by coupling it with the simple aerodynamic model. In order to obtain the real-time structural response, the EDISON program analysis results were modeled by nonlinear equations and the Newton-Raphson method was used for the trim analysis.

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Analysis of Dynamic Equilibrium Configuration of Speed Governor (조속기의 동적 평형위치 해석)

  • Kang, Juseok
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.10
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    • pp.4733-4738
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    • 2013
  • This paper proposes a method to obtain the dynamic equilibrium configuration of a constrained mechanical system by using multibody dynamic analysis. Dynamic equilibrium equations with independent coordinates are derived from the time-dependent constraint equations and dynamic equations of a multibody system. The Newton-Raphson method is used to find numerical solutions for nonlinear algebraic equations that are composed of the dynamic equilibrium and constraint equations. The proposed method is applied to obtain the dynamic equilibrium configuration of a speed governor, and the results are verified on the basis of the results from conventional dynamic analysis. Furthermore, vertical displacements at equilibrium configuration, which varied with the rotational velocity of the speed governor, are calculated, and design parameter analysis of the equilibrium configuration is presented.

Limit Resolution in the Decoupled UPFC Model for Power Flow (조류계산을 위한 분리된 UPFC 모형에서의 제한값 해결)

  • Kim, Tae-Hyeon;Seo, Jang-Cheol;Im, Jeong-Uk;Mun, Seung-Il;Park, Jong-Geun;Han, Byeon-Mun
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.7
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    • pp.824-831
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    • 1999
  • This paper presents new methods to resolve the important limits in the decoupled UPFC model for power flow, by which conventional power flow program can be performed with addition of two buses per one UPFC. In order to operate UPFC to the desired value, the series voltage and shunt current of UPFC should be computed. So a method of calculating these by simple equations after power flow is derived. However, the calculated magnitude of series voltage and/or shunt current of UPFC may not be allowed because of the UPFC limit \ulcorner to the ratings of inverters. In this case, the active power and the reactive power (or the voltage magnitude) of UPFC buses should be revised to resolve the limit. This paper proposes the Newton Raphson method to resolve these limits. Particularly, when resolving the series voltage magnitude, three strategies are proposed according to the priority of the active power and the reactive power (or the voltage magnitude).

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Static Non-linear Finite Element Analysis of Spatial Cable Networks (3차원 케이블망의 초기평형상태 결정 및 정적 비선형 유한요소해석)

  • 김문영;김남일;안상섭
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.179-190
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    • 1998
  • A geometrically nonlinear finite element formulation of spatial cable networks is presented using two cable elements. Firstly, derivation procedures of tangent stiffness and mass matrices for the space truss element and the elastic catenary cable element are summarized. The load incremental method based on Newton-Raphson iteration method and the dynamic relaxation method are presented in order to determine the initial static state of cable nets subjected to self-weights and support motions. Furthermore, static non-linear analysis of cable structures under additional live loads are performed based on the initial configuration. Challenging example problems are presented and discussed in order to demonstrate the feasibility of the present finite element method and investigate static nonlinear behaviors of cable nets.

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Linear and Nonlinear Stability Analysis of Shells Using Degenerated Isoparametric Elements (등매개(等媒介) 변수요소(變數要素)를 이용한 쉘의 선형(線形) 및 비선형(非線形) 안정해석(安定解析))

  • Lee, Nam Ho;Choi, Chang Koan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.2
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    • pp.21-28
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    • 1987
  • The paper describes the analysis of large displacement problems including instability phenomena. The element used in this is a degenerated isoparametric shell element with eight nodes. Total Lagrangian formulation has been adopted in this study using Newton-Raphson iteration method with incremental load. The linear stability analyses performed usually for the initial position can be repeated at several advanced fundamental states on the non-linear buckling path. Thus a current estimate of the failure load is given. The numerical examples of a cylindrical panel under uniform load, simply supported plate under axial load, and clamped plate under uniform load are carried out. The examples applying degenerated isoparametric elements to bifurcation buckling and nonlinear collapse problems are also performed.

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A Study on the Robot Vision Control Schemes of N-R and EKF Methods for Tracking the Moving Targets (이동 타겟 추적을 위한 N-R과 EKF방법의 로봇비젼제어기법에 관한 연구)

  • Hong, Sung-Mun;Jang, Wan-Shik;Kim, Jae-Meung
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.23 no.5
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    • pp.485-497
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    • 2014
  • This paper presents the robot vision control schemes based on the Newton-Raphson (N-R) and the Extended Kalman Filter (EKF) methods for the tracking of moving targets. The vision system model used in this study involves the six camera parameters. The difference is that refers to the uncertainty of the camera's orientation and focal length, and refers to the unknown relative position between the camera and the robot. Both N-R and EKF methods are employed towards the estimation of the six camera parameters. Based on the these six parameters estimated using three cameras, the robot's joint angles are computed with respect to the moving targets, using both N-R and EKF methods. The two robot vision control schemes are tested by tracking the moving target experimentally. Given the experimental results, the two robot control schemes are compared in order to evaluate their strengths and weaknesses.

Direct Correction of Lens Distortions in Close-Range Digital Photogrammetry (근거리 수치사진측량에 있어서 렌즈왜곡의 직접 보정)

  • 안기원;박병욱;서두천
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.17 no.3
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    • pp.257-264
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    • 1999
  • The lens distortions were corrected directly using the high-order polynomial which was offered in camera calibration data for the forward transformation and the root of Newton-Raphson's $2\times{2}$ nonlinear system for the backward transformation. The 0.04~0.08 pixels increase in accuracy was indicated through the use of direct correction of lens distortions instead of least square methods of commercial software. The least square adjustment method of high-order polynomial requires many control points which has a same weight. But this suggested method which is unnecessary to determine control points was developed and applied. The algorithm showed improved efficacy.

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Target Detection Performance in a Clutter Environment Based on the Generalized Likelihood Ratio Test (클러터 환경에서의 GLRT 기반 표적 탐지성능)

  • Suh, Jin-Bae;Chun, Joo-Hwan;Jung, Ji-Hyun;Kim, Jin-Uk
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.30 no.5
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    • pp.365-372
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    • 2019
  • We propose a method to estimate unknown parameters(e.g., target amplitude and clutter parameters) in the generalized likelihood ratio test(GLRT) using maximum likelihood estimation and the Newton-Raphson method. When detecting targets in a clutter environ- ment, it is important to establish a modular model of clutter similar to the actual environment. These correlated clutter models can be generated using spherically invariant random vectors. We obtain the GLRT of the generated clutter model and check its detection probability using estimated parameters.