• Title/Summary/Keyword: Newton-Raphson

Search Result 589, Processing Time 0.027 seconds

Effect of Tributary Inflow on Downstream Water Level of the Han River (한강하류부 지천의 유입량이 한강수위에 미치는 영향 분석)

  • Lee, Jong Kyu;Jang, Ki Hwan;Yang, Hee Sung
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2004.05b
    • /
    • pp.1366-1370
    • /
    • 2004
  • 한강은 남한 제1의 하천으로 지리적으로 한반도의 중심부에 위치하여 동에서 서로 흐르는 대하천이다. 매년 발생하는 홍수에 대한 한강하류부의 홍수관리는 대단히 중요하다. 본 연구는 한강의 지천유입량이 한강본류 수위에 미치는 영향을 수리학적 홍수추적 모형을 이용하여 분석하였다. 수리학적 홍수추적 모형은 하천의 지형적 특성과 여러인자들을 반영하여 하천의 흐름을 해석하기 때문에 하천에 설치되어 있는 교량, 수중보, 지천유입량, 조도계수 등을 적절히 반영하였을 때 보다 정확한 결과를 얻을 수 있다. 본 연구에서는 1차원 부정류 흐름으로 해석하였으며 미국 NWS(National Weather Service)에서 기존의 DWOPER 모형과 댐파괴 모형인 DAMBRK 모형을 통합하여 개선한 FLDWAV 모형을 사용하였다. 이 모형의 지배방정식은 연속방정식과 운동량방정식으로 구성되어 확장된 Saint-Venant 방정식이고, 수치기법으로는 가중4점음해법을 이용하려 비선형 연립방정식을 Newton-Raphson 방법으로 해석한다. 모형의 상류경계는 팔당댐 시간 방류량을 하류경계로는 전류수위표 지점의 수위를 이용하였다. 한강하류부에는 많은 지천들이 흘러들어 유입되고 있는데 지천유입량이 한강수위에 미치는 영향을 분석하기 위하여 비교적 유역면적이 큰 왕숙천, 탄천, 중랑천, 안양천 등의 지천유입량을 고려하였다. 2000년과 2001년에 발생한 2개의 실측사상을 FLDWAV 모형을 이용하여 계산된 수위값과 검증해 본 결과 실측수위를 잘 재현하고 있는 것을 알 수 있었다. 검증된 모형을 가지고 동일한 사상에 대해서 지천 유입량을 고려하지 않고 모의를 한 결과 지천유입량을 고려하였을 때와 고려하지 않았을 때의 지천유입량에 대한 수위상승량은 $1\~5cm$ 정도로 나타났다. 지천유입량에 의한 수위상승이 어느정도 일어나고 있지만 홍수기간에 이 정도의 수위상승은 한강의 흐름이나 한강하류부에 설치된 구조물의 침수피해에 크게 영향을 주지않을 것으로 판단되었다. 한강하류부의 수위는 지천유입량의 영향보다는 팔당댐의 방류량에 의해서 좌우되고 있고 홍수시에는 한강의 수위상승으로 인하여 지천에 미치는 배수영향이 훨씬 더 클 것으로 판단된다.

  • PDF

A Study on a Nonlinear Cable Finite Element (非線形 케이블 有限要素에 관한 硏究)

  • 장승필;박정일
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.1 no.1
    • /
    • pp.93-101
    • /
    • 1989
  • A geometrically nonlinear cable finite element is presented to use in the static or dynamic modeling of offshore and onshore structures such as guyed tower, tension leg platform or mooring buoy, submarine cable, cable-stayed bridge, suspension bridge, cable roof and so on. The cable finite element is derived directly from the compatibility equations and flexibility matrix of elastic catenary cable theory for the arbitary plane loading and geome try. A general and virsatile computer program has been developed to perform the analyses of cable member itself or cable guyed or suspened structures, in which Newmark-$\beta$ method is used to obtain a time domain solution and Newton-Raphson iteration method is used to solve the nonlinear system of compatibility equations of cable and algebraic static or dynamic equations at each time step. The results from the static and dynamic analysis of a cable member by the computer program are summarized and presented.

  • PDF

Analysis of Pumping Test Data and The Prediction of Drawdown for Daejong-Chun Area (대종천유역 충적대수층의 수리성 분석 및 수위강하예측에 관한 연구)

  • Choi, Jae-Jin;Sung, Won-Mo;Hahn, Jeong-Sang
    • Economic and Environmental Geology
    • /
    • v.26 no.4
    • /
    • pp.541-549
    • /
    • 1993
  • The main goal of this paper is to determine hydraulic properties and to predict drawdown for the efficient and stable development of groundwater in the Daejong-Chun area, North of Kyungsang-Do. Based on geological survey and analysis of well logging data conducted in 1991, it is found that the type of aquifer of this area is considered to be an anisotropic unconfined aquifer with saturated thickness of 19.8 m. In order to characterize this aquifer pumping test was conducted, and the resulting drawdown data were utilized for the analysis by applying both type curve matching technique and semi-log straight line method. As a result, the average specific yield of this aquifer is estimated as 32.3%, and the average ratio of $K_H$ to $K_V$ is only 2.7, which means that gravitational effect is not significant factor for this type of aquifer. For the validation of the estimated hydraulic properties, the analytical model which was developed with Newton-Raphson iteration procedure in this study, was employed to generate the drawdown. And, the resulting drawdown was compared against actual drawdown data and it shows the excellent matches. The actual drawdown data for 9 hours of pumping were used for history matching purposes and relatively satisfactory matches were achieved in this match. Then, the model was run by using the tuned parameters that are obtained during history matching stage, and the drawdown was predicted for the next 30 years of pumping with $3,000m^3/day$ of constant pumping rate. Its result indicates that the drawdown was stabilized as 1.41 m from 20 days with $3,000m^3/day$ of constant pumping rate, which is the required amount of water to be safely supplied to this area.

  • PDF

A Study on the Elasto-Plasticity Behaviour of a Ship's Plate under Thrust According to Boundary Condition (압축력을 받는 선체판의 경계조건에 따른 탄소성거동에 관한 연구)

  • Ko Jae-Yong;Park Joo-Shin;Park Sung-Hyun
    • Journal of the Korean Society of Marine Environment & Safety
    • /
    • v.10 no.1 s.20
    • /
    • pp.29-33
    • /
    • 2004
  • Design of general steel structure had applied to achieve elastic designing concept so far. Because elastic design supposes that whole structure complies with elasticity formula so that achieve via allowable stress of material. It is concept that calculate stress distribution of construction about action external load and estimate load when the maximum stress reaches equally with allowable stress that is established by maximum safety load of the structure. But, absence that compose actuality structure by deal with external load increase small success surrender and structure hardness falls and structure in limited state finally on the whole as showing complicated process by interference between collapse and buckling under compression. Applied ANSYS (elasto-plasticity large deformation finite element method) to be mediocrity finite element program for analysis method and analysis control used in Newton-Raphson method & Arc-length method.

  • PDF

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
    • /
    • v.41 no.7
    • /
    • pp.875-884
    • /
    • 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.

A Study on the Geometric Optimization of Truss Structures by Decomposition Method (분할최적화 기법에 의한 트러스 구조물의 형상최적화에 관한 연구)

  • 김성완;이규원
    • Magazine of the Korean Society of Agricultural Engineers
    • /
    • v.29 no.4
    • /
    • pp.73-92
    • /
    • 1987
  • Formulation of the geometric optimization for truss structures based on the elasticity theory turn out to be the nonlinear programming problem which has to deal with the cross-sectional area of the member and the coordinates of its nodes simultaneously. A few techniques have been proposed and adopted for the analysis of this nonlinear programming problem for the time being. These techniques, however, bear some limitations on truss shapes, loading conditions and design criteria for the practical application to real structures. A generalized algorithm for the geometric optimization of the truss structures, which can eliminate the above mentioned limitations, is developed in this study. The algorithm proposed utilizes the two-levels technique. In the first level which consists of two phases, the cross-sectional area of the truss member is optimized by transforming the nonlinear problem into SUMT, and solving SUMT utilizing the modified Newton Raphson method. In the second level, which also consists of two phases the geometric shape is optimized utillzing the unindirectional search technique of the Powell method which make it possible to minimize only the objective functlon. The algorithm proposed in this study is numerically tested for several truss structures with various shapes, loading conditions and design criteria, and compared with the results of the other algorithms to examine its applicability and stability. The numerical comparisons show that the two- levels algorithm proposed in this study is safely applicable to any design criteria, and the convergency rate is relatively fast and stable compared with other iteration methods for the geometric optimization of truss structures. It was found for the result of the shape optimization in this study to be decreased greatly in the weight of truss structures in comparison with the shape optimization of the truss utilizing the algorithm proposed with the other area optimum method.

  • PDF

Study on Fatality Risk of Older Driver and Traffic Accident Cost (고령운전자 연령구간별 사망사고 발생위험도와 사고비용 분석 연구)

  • Choi, Jaesung
    • Journal of the Korean Society of Safety
    • /
    • v.33 no.4
    • /
    • pp.111-118
    • /
    • 2018
  • Korea is facing a surge in the aging population, showing that population aged 65 and above will be accounted for 42.5% of the total population in 2065 with the emphasis on the over-80 population consisting of 19.2%. In response to this abrupt change in population structure, the number of traffic fatality accident referring to older driver as aged 65+ years had been increasing from 605 fatalities in 2011 to 815 fatalities in 2015 resulting in increases in 34.7% in oppose to happening to decreases in 17.2% about non-older driver. With Logit analysis based on Newton-Raphson algorithm utilizing older driver's traffic fatality data for the 2011-2015 years, it was found that the likelihood of an accident resulting in a fatality for super older driver aged 80 years and above considerably increased compared to other older driver with aging classification: 2.24 times for violation of traffic lane, 2.04 times for violation of U-turn, 1.48 times for violation of safety distance, 1.35 times for violation of obstacle of passing; also average annual increase of traffic accident cost related to super older driver was fairly increased rather than other older driver groups. Hence, this study proposes that improving and amending transport safety system and Road Traffic Act for super older driver needs to be urgently in action about license management, safe driving education, etc. when considering the increase of over-80 population in the near future. Also, implementing a social agreement with all ages and social groups to apply with advanced driver assistance system for older driver groups will be able to become a critical factor to enhance safe driving over the face of the country.

The Transmission Line Modeling Method for Finite Element Analysis of Hysteretic Material (TLM법을 이용한 히스테리시스 자성체의 유한요소 해석)

  • Im, Chang-Hwan;Kim, Hong-Kyu;Jung, Hyun-Kyo
    • Proceedings of the KIEE Conference
    • /
    • 2000.07b
    • /
    • pp.825-827
    • /
    • 2000
  • 자성체를 포함하는 자기 시스템을 해석하는데 있어 비선형과 히스테리시스(Hysteresis)는 매우 중요한 역할을 한다. 특히 재질의 히스테리시스 특성을 유한요소법(FEM)을 이용하여 계산하기 위해서 많은 방법들이 소개되었다. 단순 반복법이나 Fixed Point Technique(FPT), M-iteration 법. 뉴튼 랍슨 (Newton-Raphson) 법 등이 그 예이다. 이 방법들 중에서 뉴튼 랍슨법은 빠른 수렴 특성으로 가장 많이 사용되고 있다. 하지만 뉴튼-랍슨법을 이용하여 히스테리시스 재질을 해석할 때는 매 반복 계산 때마다 계 계수행렬(System Stiffness matrix)이 변화하기 때문에 요소의 수가 매우 많을 경우 역행렬을 계산하기 위한 시간이 많이 소요되는 단점이 있다. 특히 히스테리시스 해석의 경우에는 주로 time-step법을 이용하여 계산하므로 가장 시간이 많이 소요되는 행렬 계산 시간을 단축함으로써 전체 계산 시간을 크게 줄일 수 있다. 최근 비선형 해석에서 TLM(Transmission Line Modeling)법이 도입되어 비선형 해석 시의 계산 시간을 크게 단축할 수 있게 되었다. 본 논문에서는 비선형 해석에 적용된 TLM법을 히스테리시스 해석에 적용하는 방법을 새로 제안한다. TLM법은 뉴튼-랍슨법과 달리 각 반복 계산 때마다 계수행렬식이 변화하지 않고 단지 구동항만 변하기 때문에 행렬의 LU를 한 번 저장해 두면 forward와 backward substitution만 시행하면 된다. 따라서 요소의 수가 증가할 경우 TLM법을 사용하면 뉴튼-랍슨법에 비해 매우 큰 계산 이득을 얻을 수 있다. 본 논문에서는 TLM법을 히스테리시스에 적용하는 방법을 기술하고 간단한 모델에 이 방법을 적용하여 뉴튼-랍슨법과의 비교를 통해 TLM법의 효용성을 보인다.

  • PDF

Large deflection behavior and stability of slender bars under self weight

  • Goncalves, Paulo B.;Jurjo, Daniel Leonardo B.R.;Magluta, Carlos;Roitman, Ney;Pamplona, Djenane
    • Structural Engineering and Mechanics
    • /
    • v.24 no.6
    • /
    • pp.709-725
    • /
    • 2006
  • In this paper the buckling and post-buckling behavior of slender bars under self-weight are studied. In order to study the post-buckling behavior of the bar, a geometrically exact formulation for the non-linear analysis of uni-directional structural elements is presented, considering arbitrary load distribution and boundary conditions. From this formulation one obtains a set of first-order coupled nonlinear equations which, together with the boundary conditions at the bar ends, form a two-point boundary value problem. This problem is solved by the simultaneous use of the Runge-Kutta integration scheme and the Newton-Raphson method. By virtue of a continuation algorithm, accurate solutions can be obtained for a variety of stability problems exhibiting either limit point or bifurcational-type buckling. Using this formulation, a detailed parametric analysis is conducted in order to study the buckling and post-buckling behavior of slender bars under self-weight, including the influence of boundary conditions on the stability and large deflection behavior of the bar. In order to evaluate the quality and accuracy of the results, an experimental analysis was conducted considering a clamped-free thin-walled metal bar. As this kind of structure presents a high index of slenderness, its answers could be affected by the introduction of conventional sensors. In this paper, an experimental methodology was developed, allowing the measurement of static or dynamic displacements without making contact with the structure, using digital image processing techniques. The proposed experimental procedure can be used to a wide class of problems involving large deflections and deformations. The experimental buckling and post-buckling behavior compared favorably with the theoretical and numerical results.

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
    • /
    • v.10 no.3
    • /
    • pp.207-222
    • /
    • 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.