• 제목/요약/키워드: Newton method

검색결과 1,015건 처리시간 0.025초

산사태 위험도 추정을 위한 간극수압 예측에 관한 연구(II) -산사면에서의 지하수위 예측 모델의 개발- (Porewater Pressure Predictions on Hillside Slopes for Assessing Landslide Risks (II) Development of Groundwater Flow Model)

  • 이인모;박경호;임충모
    • 한국지반공학회지:지반
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    • 제8권2호
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    • pp.5-20
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    • 1992
  • The physical-based and lumped-parameter hydrologic groundwater flow model for predicting the rainfall-triggered rise of groundwater levels in hillside slopes is developed in this paper to assess the risk of landslides. The developed model consists of a vertical infiltration model for unsaturated zone linked to a linear storage reservoir model(LSRM) for saturated zone. The groundwater flow model has uncertain constants like soil depttL slope angle, saturated permeability, and potential evapotranspiration and four free model parameters like a, b, c, and K. The free model parameters could be estimated from known input-output records. The BARD algorithm is uses as the parameter estimation technique which is based on a linearization of the proposed model by Gauss -Newton method and Taylor series expansion. The application to examine the capacity of prediction shows that the developed model has a potential of use in forecast systems of predicting landslides and that the optimal estimate of potential 'a' in infiltration model is the most important in the global optimum analysis because small variation of it results in the large change of the objective function, the sum of squares of deviations of the observed and computed groundwater levels. 본 논문에서는 가파른 산사면에서 산사태의 발생을 예측하기 위한 수문학적 인 지하수 흐름 모델을 개발하였다. 이 모델은 물리적인 개념에 기본하였으며, Lumped-parameter를 이용하였다. 개발된 지하수 흐름 모델은 두 모델을 조합하여 구성되어 있으며, 비포화대 흐름을 위해서는 수정된 abcd 모델을, 포화대 흐름에 대해서는 시간 지체 효과를 고려할 수 있는 선형 저수지 모델을 이용하였다. 지하수 흐름 모델은 토층의 두께, 산사면의 경사각, 포화투수계수, 잠재 증발산 량과 같은 불확실한 상수들과 a, b, c, 그리고 K와 같은 자유모델변수들을 가진다. 자유모델변수들은 유입-유출 자료들로부터 평가할 수 있으며, 이를 위해서 본 논문에서는 Gauss-Newton 방법을 이용한 Bard 알고리즘을 사용하였다. 서울 구로구 시흥동 산사태 발생 지역의 산사면에 대하여 개발된 모델을 적용하여 예제 해석을 수행함으로써, 지하수 흐름 모델이 산사태 발생 예측을 위하여 이용할 수 있음을 입증하였다. 또한, 매개변수분석 연구를 통하여, 변수 a값은 작은 변화에 대하여 목적함수값에 큰 변화를 일으키므로 a의 값에 대한 최적값을 구하는 것이 가장 중요한 요소라는 결론을 얻었다.

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고속증식로 사고분석 코드의 개발 (Development of the LMFBR Accident Analysis Computer Code)

  • Hee Cheon No
    • Nuclear Engineering and Technology
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    • 제16권2호
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    • pp.47-57
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    • 1984
  • 2상유동을 해석하기 위한 3차원 코드인 THERMIT-6S의 미분 방정식을 세우기 위해, 수학적으로 정확하게 유도된 시간과 공간에 대해 평균한 보존 방정식을 단순화했다. 미분 방정식을 불연속화(discretization)하여 THERMIT-6S의 차분방정식을 얻는다. First-order spatial scheme, donor cell method, 그리고, staggered mesh layout을 써서 공간에 대한 불연속화를 한다. 그리고 시간에 대한 불연속화는 first-order semi-implicit scheme으로써, sonic terms와 국부적인 전달 현상에 관계되는 항들은 implicit하게 그리고 대류 전달 항들은 explicit하게 취급한다. 이렇게 얻어진 방정식들은Newton-Raphson 방법으로 선형화된다. 축소된 압력 방정식을 만들기 위해 모든 변수들이 mesh cells사이에서 단지 압력 변수를 통해서만 결부되도록, 선형화된 방정식들을 처리한다. OPERA-15 실험을 수치해석적으로 모의실험하여 본 결과, THERMIT-6S가 flow coastdown, 역류, 유체진동(flow oscillation) 등을 포함하고, sodium boiling 후의 원자로내의 변화를 예측하는데 매우 유효하다는 것이 밝혀졌다.

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블록의 탑재 안전성을 위한 초기 평형 자세 탐색 방법 연구 (A Study on the Methods for Finding Initial Equilibrium Position of a Lifting Block for the Safe Erection)

  • 전도현;노명일;함승호;이혜원
    • 대한조선학회논문집
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    • 제55권4호
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    • pp.297-305
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    • 2018
  • In a shipyard, block lifting is an important process in the production of ships and offshore structures. Block lifting is a sensitive process because lifting blocks have to be erected with exact positions and orientations. If we use a numerical method for the process, it is important to find tensions of wires and positions of equalizers to maintain the initial equilibrium position of the block. At this time, equations of motion of the block should be solved to calculate the initial equilibrium position of the block. Because the solving technique changes according to the number of equalizers, a suitable equation for the corresponding problem is required. In this study, three types of equations are proposed to find the initial equilibrium position of the block according to the number of equalizers. The Newton-Raphson's method is used to solve nonlinear simultaneous equations and the optimization method is used to determine the appropriate solution to the undetermined problem. To evaluate the applicability of the proposed methods, the dynamic simulations are performed using the tensions calculated from the proposed methods, and the results are discussed. The results show that the proposed methods can be effectively used to determine initial equilibrium position of the block for the block lifting.

Combined multi-predict-correct iterative method for interaction between pulsatile flow and large deformation structure

  • Wang, Wenquan;Zhang, Li-Xiang;Yan, Yan;Guo, Yakun
    • Coupled systems mechanics
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    • 제1권4호
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    • pp.361-379
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    • 2012
  • This paper presents a fully coupled three-dimensional solver for the analysis of interaction between pulsatile flow and large deformation structure. A partitioned time marching algorithm is employed for the solution of the time dependent coupled discretised problem, enabling the use of highly developed, robust and well-tested solvers for each field. Conservative transfer of information at the fluid-structure interface is combined with an effective multi-predict-correct iterative scheme to enable implicit coupling of the interacting fields at each time increment. The three-dimensional unsteady incompressible fluid is solved using a powerful implicit time stepping technique and an ALE formulation for moving boundaries with second-order time accurate is used. A full spectrum of total variational diminishing (TVD) schemes in unstructured grids is allowed implementation for the advection terms and finite element shape functions are used to evaluate the solution and its variation within mesh elements. A finite element dynamic analysis of the highly deformable structure is carried out with a numerical strategy combining the implicit Newmark time integration algorithm with a Newton-Raphson second-order optimisation method. The proposed model is used to predict the wave flow fields of a particular flow-induced vibrational phenomenon, and comparison of the numerical results with available experimental data validates the methodology and assesses its accuracy. Another test case about three-dimensional biomedical model with pulsatile inflow is presented to benchmark the algorithm and to demonstrate the potential applications of this method.

항타응력 추정 (Prediction of Driving Stresses in Piles)

  • 진병익;황정규
    • 한국지반공학회지:지반
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    • 제3권1호
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    • pp.25-38
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    • 1987
  • 항타응력의 추정은 말뚝박기 해머의 선정, 기성말뚝의 설계, 말뚝박기 가능성의 판단 및 말뚝박기 시방서의 각성에 필요 불가결하다. 그러나, 현재 사용되고 있는 Newton의 충격이론에 의한 경타공식들은 토질이나 해머의 용량에 따라 나름데로 결함을 갖고 있으며, 파동방정식에 의하여 해석된 수치해석법은 대형컴퓨터를 사용하 여야 하고 몇가지의 토질정수를 가정에 의하여 입력하는 것과 말뚝을 타격할 때마다 누적되는 잔재 응력을 고려하지 않는 등의 이유로 즉시추정에는 제약이 따르고 오차가 누적되는 결과를 초래할 수 있으며, 또 한편, 계기에 의하여 항타응력을 실측하는 것은 많은 비용과 시간이 소요된다. 그러므로, 본 연구에서는 항타응력을 파동이론 및 말뚝의 잔류응력에 의하여 항타응력에 가장 크게 영향을 미치는 변수들을 고려하여 해석하므로써 대형컴퓨터를 사용할 수 없는 현장에서 말뚝의 전장에 걸쳐 항타응력을 추정할 수 있는 간편한 산출식을 제시하고, 이의 신뢰성을 고찰하였다.

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원형휜에서 열전달 특성분석 (Heat transfer on annular fins with one-dimensional radiative and convective heat exchange)

  • 이금배
    • 대한기계학회논문집
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    • 제14권6호
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    • pp.1621-1628
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    • 1990
  • 본 연구에서는 많은 실질적인 시스템에서, 많은 양의 복합된 전도, 대류, 복 사의 열전달 현상이 동시에 일어나기 때문에 복합된 열전달 모드가 다같이 다루어져야 만 한다. Fig.1에서 보는 바와 같이 얇은 원형휜이 튜브 주위에 무수히 부착되어 있 으며, 휜과 튜브주위를 기체가 흐르고 있다. 휜과 휜, 휜과 튜브표면, 휜과 주위환 경, 튜브표면과 주위환경 사이에서 복사 열전달 상호교환이 충분히 다루어졌다. 전 도, 대류, 복사기 동시에 일어나는 열전달 방정식은 비선형 적분-미분 방정식(nonlin- ear integro-differential equation)으로 표현된다. 온도 분포도(temperature dist- ributions), 열전달량(heat transfer rates), 휜효율(fin efficiencies), 휜유효성(f- ineffectivenesses)등이 계산되어졌고, 무차원 형태로 도표에 결과들을 제시하였다.

RSNT-cFastICA for Complex-Valued Noncircular Signals in Wireless Sensor Networks

  • Deng, Changliang;Wei, Yimin;Shen, Yuehong;Zhao, Wei;Li, Hongjun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권10호
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    • pp.4814-4834
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    • 2018
  • This paper presents an architecture for wireless sensor networks (WSNs) with blind source separation (BSS) applied to retrieve the received mixing signals of the sink nodes first. The little-to-no need of prior knowledge about the source signals of the sink nodes in the BSS method is obviously advantageous for WSNs. The optimization problem of the BSS of multiple independent source signals with complex and noncircular distributions from observed sensor nodes is considered and addressed. This paper applies Castella's reference-based scheme to Novey's negentropy-based algorithms, and then proposes a novel fast fixed-point (FastICA) algorithm, defined as the reference-signal negentropy complex FastICA (RSNT-cFastICA) for complex-valued noncircular-distribution source signals. The proposed method for the sink nodes is substantially more efficient than Novey's quasi-Newton algorithm in terms of computational speed under large numbers of samples, can effectively improve the power consumption effeciency of the sink nodes, and is significantly beneficial for WSNs and wireless communication networks (WCNs). The effectiveness and performance of the proposed method are validated and compared with three related BSS algorithms through theoretical analysis and simulations.

공간시계열 모형의 칼만필터 추정과 예측 (Kalman-Filter Estimation and Prediction for a Spatial Time Series Model)

  • 이성덕;한은희;김덕기
    • Communications for Statistical Applications and Methods
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    • 제18권1호
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    • pp.79-87
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    • 2011
  • 공간적, 시간적으로 퍼져나가는 전염성이 강한 질병인 수두자료를 이용하여 공간 시계열 자료를 분석하는데 있어 일반적으로 알려진 ARIMA 모형에 적합하여 분석을 행하면 공간적인 정보를 반영하지 못하기 때문에 기존에 시간만을 고려한 시계열 분석방법에 공간통계의 공간적 정보를 반영한 공간시계열 모형을 고려한다. 공간시계열 모형에서 공간의 위치 및 영향은 시계열 모형에 공간적 정보로써 가중치행렬을 더 함으로써 처리 가능해진다. 가중치행렬은 지리적으로 인접한 지역일수록 공간의존도가 높다는 것을 반영한 것이며 공간시계열 모형의 연구에서 가중치행렬은 인접한 지역들은 동일한 영향을 줄 것이라 가정하였다. 따라서 본 논문에서는 공간시계열 모형인 STARMA 모형과 STBL 모형에 대한 식별방법, 통계적 추론 및 예측력 비교에 대해 연구하였고 특히, 모수추정의 알고리즘 비교와 공간시계열 모형의 예측력 비교를 통해 Kalman-Filter 방법의 우수성을 보이고자 한다.

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.

Performance-based structural fire design of steel frames using conventional computer software

  • Chan, Y.K.;Iu, C.K.;Chan, S.L.;Albermani, F.G.
    • Steel and Composite Structures
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    • 제10권3호
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    • pp.207-222
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    • 2010
  • Fire incident in buildings is common, so the fire safety design of the framed structure is imperative, especially for the unprotected or partly protected bare steel frames. However, software for structural fire analysis is not widely available. As a result, the performance-based structural fire design is urged on the basis of using user-friendly and conventional nonlinear computer analysis programs so that engineers do not need to acquire new structural analysis software for structural fire analysis and design. The tool is desired to have the capacity of simulating the different fire scenarios and associated detrimental effects efficiently, which includes second-order P-D and P-d effects and material yielding. Also the nonlinear behaviour of large-scale structure becomes complicated when under fire, and thus its simulation relies on an efficient and effective numerical analysis to cope with intricate nonlinear effects due to fire. To this end, the present fire study utilizes a second-order elastic/plastic analysis software NIDA to predict structural behaviour of bare steel framed structures at elevated temperatures. This fire study considers thermal expansion and material degradation due to heating. Degradation of material strength with increasing temperature is included by a set of temperature-stress-strain curves according to BS5950 Part 8 mainly, which implicitly allows for creep deformation. This finite element stiffness formulation of beam-column elements is derived from the fifth-order PEP element which facilitates the computer modeling by one member per element. The Newton-Raphson method is used in the nonlinear solution procedure in order to trace the nonlinear equilibrium path at specified elevated temperatures. Several numerical and experimental verifications of framed structures are presented and compared against solutions in literature. The proposed method permits engineers to adopt the performance-based structural fire analysis and design using typical second-order nonlinear structural analysis software.