• Title/Summary/Keyword: Newton-Raphson Method

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Analysis on Kinematic Characteristics of a Machine Tool Parallel Manipulator Using Neural Network (신경망을 이용한 공작기계 병렬 매니퓰레이터의 기구학 특성 분석)

  • Lee, Je-Sub;Ko, Jun-Bin
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.3
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    • pp.1-7
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    • 2008
  • This paper describes the kinematics which is a new type of parallel manipulator, and the neural network is applied to solving the forward kinematics problem. The parallel manipulator called it as a Stewart platform has an easy and unique solution about the inverse kinematics. However, the forward kinematics is difficult to get a solution because of the lack of an efficient algorithm caused by its highly nonlinearity. This paper proposes the neural network scheme of an Newton-Raphson method alternatively. It is found that the neural network can be improved its accuracy by adjusting the offset of the obtained result.

A Study on the Numerical Technique for the Nonlinear Deformation Analysis of Solid Structures(1) -General Theory Development- (고체구조물의 비선형변형 수치해석에 대한 이론적 고찰(1) -일반이론-)

  • Youngjoo Kwon
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.10
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    • pp.193-202
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    • 1998
  • 본 논문에서는 비선형 고체역학 이론에 대하여 특히 시간에 무관한 변형을 하는 초탄성 및 탄소성고체물질의 비선형 변형이론에 대하여 철저한 분석을 수행하였다 특히 비선형 변형의 해석방범론에 대하여 특별한 관심을 가지고 분석하였다. 비선형 변형해석 방법론으로 널리 논의되고 있는 증분뉴튼랩슨 방법에 대하여 수정된 개념을 제시하여 비선형 변형 해석의 정 확성을 향상시켰다.

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Optimal Design of Functionally Graded Plates (경사기능재료 판의 최적설계)

  • Na, Kyung-Su;Kim, Ji-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.1061-1064
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    • 2006
  • Optimal design of functionally graded plates is investigated considering stress and critical temperature. Material properties are assumed to be temperature dependent and varied continuously in the thickness direction. The effective material properties are obtained by applying linear rule of mixtures. The 3-D finite element model is adopted using an 18-node solid element to analyze more accurately the variation of material properties and temperature field in the thickness direction. For stress analysis, the tensile stress ratio and compressive stress ratio of the structure under mechanical load are investigated. In the thermo-mechanical buckling analysis, temperature at each node is obtained by solving the steady-state heat transfer problem and Newton-Raphson method is used for material nonlinear analysis. Finally, the optimal design of FGM plates is studied for stress reduction and improving thermo-mechanical buckling behavior, simultaneously.

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A Study on the Steady-State Cornering of a Vehicle Considering Roll Motion (롤 운동을 고려한 차량의 정상상태 선회주행에 관한 연구)

  • 이장무;윤중락;강주석;배상우;탁태오
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.6
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    • pp.89-102
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    • 1997
  • In this study, the steady state cornering behavior of a vehicle is investigated by using a numerical model that has parameters associated with roll motion. The nonlinear characteristics of tire cornering forces and aligning torques are presented in analytical forms using the magic formula. The sets of nonlinear algebraic equations that govern the cornering motion are solved by the Newton-Raphson iteration method. The vehicle design parameters are measured by SPMD(Suspension Parameter Measuring Device), and its results are verified by carrying out a skid pad test. The design parameters that are most affecting the steady state cornering behavior are classified into four factors, and the contributions of the factors to understeer gradient are then calculated.

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Optimal Switching Pattern of SHE PWM for drive Three Phase Voltage Type Inverter (3상 전압형 인버어터를 구동하기 위한 SHE PWM의 최적 스위칭 패턴)

  • Lee, Yoon-Jong;Chung, Dong-Wha;Kim, Hyenk-Ju
    • Proceedings of the KIEE Conference
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    • 1987.11a
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    • pp.347-350
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    • 1987
  • This paper is proposed the optimal switching pattern of sleeted harmonic elimination (SHE PWM). It defined harmonic elimination band (HBE) to find the solution of Constant Voltage (CV), and sought all solutions which we are included HEB. Then, it calculated generalised klirr factor (GKF) by this solution and decided optimal switching pattern, used as initial conditions of newton raphson (NR) method to decide switching pattern at variable voltage (W). This strategy is applied to 1HP three phase induction motor. From the result, the validity of theoretical proposition can be verified.

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A new algorithm for power system stability calculations (전력계통안정도 계산앨고리즘의 개선에 관한 연구)

  • 박영문
    • 전기의세계
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    • v.29 no.3
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    • pp.193-200
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    • 1980
  • A new algorithm for power system stability calculations is developed which considers the nonlinear state equations of 8 state variables for each generator dynamics, expollential load models in respect to bus voltages for nonlinear loads, network equations expressed in terms of bus-injected current sources, various kinds of generator and transmission line outages, abrupt changes in loads, and operations of various kinds of portective relaying systems such as distance relaying, reclosing load shedding by under-frequency relays. In the algorithm are included efficient and reliable schemes for solving network equations by means of the Newton-Raphson iterative method and the Optimally-Ordered Triangular Factorization Technique, and simple procedures for determining fault-point negative and zero sequence impedances for unbalanced line faults. An application of the Optimally-Ordered Triangular Factorization Techniques results in remarkable savings in computing time and memory requirements.

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Prediction of the Forming Limit Diagram for AZ31B Sheet at Elevated Temperatures Considering the Strain-rate Effect (변형률속도 효과를 고려한 AZ31B 판재의 온간 성형한계도 예측)

  • Choi, S.C.;Kim, H.J.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.05a
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    • pp.172-175
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    • 2009
  • The purpose of this study is to predict the forming limit diagram (FLD) of strain-rate sensitive materials on the basis of the Marciniak and Kuczynski (M-K) theory. The strain-rate effect is taken into consideration in such a way that the stress-strain curves for various strain-rates are inputted into the formulation as point data, not as curve-fitted models such as power function. To solve the nonlinear system of equations derived from the equilibrium and constraints in the groove region and the safe zone, the Newton-Raphson method is used. The theoretical FLDs using four different yield criteria, that are von Mises, Hill (1948), Hill (1979), Logan and Hosford, are compared with the experimental, numerical (FEA) and other theoretical results. A new trial is made where a modified M-K model having n-step grooves is introduced to describe a real localized neck.

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Modeling of a Greenhouse Equipped with Latent Heat Storage System (잠열축열 장치를 갖춘 온실의 난방 열 특성 예측모형개발)

  • Ro, J.G.;Song, H.K.
    • Journal of the Korean Solar Energy Society
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    • v.21 no.3
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    • pp.51-60
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    • 2001
  • A greenhouse equipped with latent heat storage system was built to obtain various thermal properties, such as greenhouse air temperature, soil surface temperature, energy flow in latent heat storage, etc., which could be used in validation of greenhouse numerical model to be developed in this study. This numerical model expressed with Newton-Raphson method was programed by C-language and utilized to simulate greenhouse thermal behavior. Greenhouse air temperature and soil surface temperature predicted by the greenhouse model developed in this study were very close to the measured data obtained through almost 3 years of experiment. Therefore, it is concluded that the greenhouse model developed and verified by measured data could be utilized for simulating various thermal behaviors of greenhouses equipped with latent heat storage system to be used for energy saving purposes.

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A Theoretical Investigation on Shakedown Analysis of Framed Structures (강뼈대 구조물의 소성안정 해석에 관한 이론적 연구)

  • Lee, Jong-Seok
    • Journal of Ocean Engineering and Technology
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    • v.2 no.2
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    • pp.71-77
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    • 1988
  • For the collapse of structures due to the variable repeated load, two types of collapse mechanisms, i.e., incremental collapse and alternating plasticity, exist. Under the similar variable repeated loading conditions there exists shakedown state in the structures. In shakedown state, the number of plastic hinges are not increased and all further loading will be resulted in the elastic moment changes. Namely, under the shakedown state, structures do not collapse. In this investigation, shakedown analysis are performed by composing new computer programs. Basic theories employed to compose the programs are as follows. 1. Newton-Raphson methods are added to the existing matrix method for the plastic analysis. 2. An effort to construct the stiffness of axial and bending springs attached at both ends of the member has been made. By using the programs developed, it is possible to anticipate the collapse mechanisms (Incremental collapse, alternating plasticity). Lastly for the verification of performance of the program, demonstration examples have been solved and the results are compared with other sources.

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3D Finite Element Analysis of Nonlinear Magnetostatic Problem Using the Transmission Line Modeling(TLM) Method (TLM법을 이용한 3차원 비선형 정자계 해석)

  • Im, Chang-Hwan;Kim, Hong-Hyu;Jung, Hyun-Kyo
    • Proceedings of the KIEE Conference
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    • 1999.07a
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    • pp.70-72
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    • 1999
  • 일반적으로 비선형 정자계 문제를 해석하기 위해서 뉴튼-�N슨(Newton -Raphson : NR)법이 이용된다. 하지만 뉴튼-�N슨법의 경우 각 반복계산 때마다 새로운 선형 시스템의 해를 구하기 위해서 LU-decomposition과 같은 과정을 매 반복계산 때마다 시행해야 하므로 절점(node)의 수가 증가할 경우 계산시간이 증가한다는 단점이 있다. 이러한 단점을 보완하기 위해서 최근 TLM (Transmission Line Modeling)법이 새로운 반복계산법으로 비선형 유한 요소 해석에 적용되었으며 뉴튼-�N슨법에 비해 훨씬 우수한 특성을 보여주었다. 하지만 지금까지의 TLM법은 2차원의 정식화만 이루어졌고 3차원에는 적용되지 못한 것이 사실이다. 본 논문에서는 3차원의 비선형 정자계 문제에 TLM법을 적용할 수 있는 수식을 최초로 제안하며 3차원 코어(core)모델에 대해 TLM법을 적용하여 그 타당성을 검증하기로 한다. 또한 3차원 비선형 TLM법을 이용한 해석 결과가 뉴튼-�N슨법에 의한 결과와 완전히 일치하며 수렴 속도에 있어서도 훨씬 향상된 결과를 나타냄을 보이도록 하겠다.

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