• 제목/요약/키워드: Newton raphson method (N-R)

검색결과 8건 처리시간 0.021초

Geometrical nonlinear bending characteristics of SWCNTRC doubly curved shell panels

  • Chavan, Shivaji G.;Lal, Achchhe
    • Advances in aircraft and spacecraft science
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    • 제5권1호
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    • pp.21-49
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    • 2018
  • In this paper, geometric nonlinear bending characteristics of single wall carbon nanotube reinforced composite (SWCNTRC) doubly curved shell panels subjected to uniform transversely loadings are investigated. The nonlinear mathematical model is developed for doubly curved SWCNTRC shell panel on the basis of higher-order shear deformation theory and Green- Lagrange nonlinearity. All nonlinear higher order terms are included in the mathematical model. The effective material properties of SWCNTRC are estimated by using Eshelby-Mori-Tanaka micromechanical approach. The governing equation of the shell panel is obtained using the total potential energy principle and a Newton-Raphson iterative method is employed to compute the nonlinear displacement and stresses. The present results are compared with published literature. The effect of SWCNT volume fraction, width-to-thickness ratio, radius-to-width ratio (R/a), boundary condition, linear and nonlinear deflection, stresses and different types of shell geometry on nonlinear bending response is investigated.

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

  • 장민우;장완식;홍성문
    • 대한기계학회논문집A
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    • 제40권3호
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    • pp.305-315
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    • 2016
  • 본 논문은 로봇이 이동하는 동안 장애물이 출현하는 불확실한 환경에서 N-R방법을 이용하여 개발된 로봇 비젼제어 기법의 효율성을 알아보고자 한다. 본 연구에 사용되는 비젼 시스템 모델은 6개의 카메라 매개변수(C1~C6)를 포함한다. N-R방법의 일괄처리기법을 이용하여 사용한 각 카메라에 대한 6개의 카메라 매개변수의 추정을 개발하고, 각 카메라에 대한 6개의 매개변수를 사용한 로봇 관절각 기법을 개발하여 얇은 막대 배치 작업을 수행한다. 특히, 불확실한 환경에서 얇은 막대 배치 작업을 위해 장애물에 의한 불연속 궤적은 시작영역, 중간영역, 타겟 근처 영역 등 3개 영역으로 구분하였다. 제안된 로봇 비젼 제어기법을 사용하여 얇은 막대 배치 실험을 통해 각 장애물 영역에서 장애물의 개수 증가에 따른 영향을 조사하고자 한다.

비디오 디스플레이 유니트용 고압발생 장치의 전압변동에 관한 연구 (A Study on the Voltage Regulation of High Voltage Generator for Video Display Unit.)

  • 지철근;박지식
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1987년도 전기.전자공학 학술대회 논문집(I)
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    • pp.706-709
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    • 1987
  • In this paper, the circuit analysis during the retrace period of E.H.T. generator is performed by means of the simplified equivalent circuit. The E.H.T. voltage and the beam current are computed by using Newton-Raphson method and the computed results are compared with those of experiment.

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수정N-R법과 연속음형법을 이용한 임계부하점 및 Nose Curve 산정기법 연구 (A Study on the Calculation Scheme of Extreme Loading Point and Nose Curves using Modified N-R and Continuation Method)

  • Yu, In-Keun
    • 대한전기학회논문지
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    • 제41권7호
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    • pp.712-722
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    • 1992
  • Several voltage instability/collapse problems that have occurred in the electric utility industry worldwide have gained the attention of engineers and researchers of electric power systems. This paper proposes an effective calculation scheme of the extreme loading point and nose curves(P-V curves) using modified Newton-Raphson(N-R) load flow method and the Continuation Method. This method provides detail and visual information of the power system voltage profile and operating margin ro operators and planners. In this paper, a modified load flow claculation method for ill-conditioned power systems is introduced for the purpose of seeking more precise load flow solutions and nose curves, and the Continuation Method is also used as a part of the solution algorithm for the calculation of extreme loading point and nose curves. The conventional polar coordinate based N-R load flow program is modified to avoid numerical difficulties caused by the singularity of the Jacobian matrix occuring in the vicinity of extreme loading point of heavily loaded systems. Application results of the proposed method to Klos-Kerner 11-bus system and modified IEE-30-bus system are presented to assure the usefulness of the approach.

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얇은 막대 배치작업을 위한 최적의 가중치 행렬을 사용한 실시간 로봇 비젼 제어기법 (Real-time Robotic Vision Control Scheme Using Optimal Weighting Matrix for Slender Bar Placement Task)

  • 장민우;김재명;장완식
    • 한국생산제조학회지
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    • 제26권1호
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    • pp.50-58
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    • 2017
  • This paper proposes a real-time robotic vision control scheme using the weighting matrix to efficiently process the vision data obtained during robotic movement to a target. This scheme is based on the vision system model that can actively control the camera parameter and robotic position change over previous studies. The vision control algorithm involves parameter estimation, joint angle estimation, and weighting matrix models. To demonstrate the effectiveness of the proposed control scheme, this study is divided into two parts: not applying the weighting matrix and applying the weighting matrix to the vision data obtained while the camera is moving towards the target. Finally, the position accuracy of the two cases is compared by performing the slender bar placement task experimentally.

Thermo-mechanically induced finite element based nonlinear static response of elastically supported functionally graded plate with random system properties

  • Lal, Achchhe;Jagtap, Kirankumar R.;Singh, Birgu N.
    • Advances in Computational Design
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    • 제2권3호
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    • pp.165-194
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    • 2017
  • The present work proposes the thermo mechanically induced statistics of nonlinear transverse central deflection of elastically supported functionally graded (FG) plate subjected to static loadings with random system properties. The FG plate is supported on two parameters Pasternak foundation with Winkler cubic nonlinearity. The random system properties such as material properties of FG material, external loading and foundation parameters are assumed as uncorrelated random variables. The material properties are assumed as non-uniform temperature distribution with temperature dependent (TD) material properties. The basic formulation for static is based on higher order shear deformation theory (HSDT) with von-Karman nonlinear strain kinematics through Newton-Raphson method. A second order perturbation technique (SOPT) and direct Monte Carlo simulation (MCS) are used to compute the nonlinear governing equation. The effects of load parameters, plate thickness ratios, aspect ratios, volume fraction, exponent, foundation parameters, and boundary conditions with random system properties are examined through parametric studies. The results of present approaches are compared with those results available in the literature and by employing direct Monte Carlo simulation (MCS).

Non-linear free vibrations and post-buckling analysis of shear flexible functionally graded beams

  • Anandrao, K. Sanjay;Gupta, R.K.;Ramchandran, P.;Rao, G. Venkateswara
    • Structural Engineering and Mechanics
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    • 제44권3호
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    • pp.339-361
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    • 2012
  • Large amplitude free vibration and thermal post-buckling of shear flexible Functionally Graded Material (FGM) beams is studied using finite element formulation based on first order Timoshenko beam theory. Classical boundary conditions are considered. The ends are assumed to be axially immovable. The von-Karman type strain-displacement relations are used to account for geometric non-linearity. For all the boundary conditions considered, hardening type of non-linearity is observed. For large amplitude vibration of FGM beams, a comprehensive study has been carried out with various lengths to height ratios, maximum lateral amplitude to radius of gyration ratios, volume fraction exponents and boundary conditions. It is observed that, for FGM beams, the non-linear frequencies are dependent on the sign of the vibration amplitudes. For thermal post-buckling of FGM beams, the effect of shear flexibility on the structural response is discussed in detail for different volume fraction exponents, length to height ratios and boundary conditions. The effect of shear flexibility is observed to be predominant for clamped beam as compared to simply supported beam.

HORIZON EXPANSION OF THERMAL-HYDRAULIC ACTIVITIES INTO HTGR SAFETY ANALYSIS INCLUDING GAS-TURBINE CYCLE AND HYDROGEN PLANT

  • No, Hee-Cheon;Yoon, Ho-Joon;Kim, Seung-Jun;Lee, Byeng-Jin;Kim, Ji-Hwang;Kim, Hyeun-Min;Lim, Hong-Sik
    • Nuclear Engineering and Technology
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    • 제41권7호
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    • pp.875-884
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    • 2009
  • We present three nuclear/hydrogen-related R&D activities being performed at KAIST: air-ingressed LOCA analysis code development, gas turbine analysis tool development, and hydrogen-production system analysis model development. The ICE numerical technique widely used for the safety analysis of water-reactors is successfully implemented into GAMMA, with which we solve the basic equations for continuity, momentum conservation, energy conservation of the gas mixture, and mass conservation of 6 species (He, N2, O2, CO, CO2, and H2O). GAMMA has been extensively validated using data from 14 test facilities. We developed a tool to predict the characteristics of HTGR helium turbines based on the throughflow calculation with a Newton-Raphson method that overcomes the weakness of the conventional method based on the successive iteration scheme. It is found that the current method reaches stable and quick convergence even under the off-normal condition with the same degree of accuracy. The dynamic equations for the distillation column of HI process are described with 4 material components involved in the HI process: H2O, HI, I2, H2. For the HI process we improved the Neumann model based on the NRTL (Non-Random Two-Liquid) model. The improved Neumann model predicted a total pressure with 8.6% maximum relative deviation from the data and 2.5% mean relative deviation, and liquid-liquid-separation with 9.52% maximum relative deviation from the data.