• The Korean Journal of Applied Statistics
• /
• v.23 no.6
• /
• pp.1179-1190
• /
• 2010

Management of the existing traffic network and understanding current traffic conditions is the most important and effective way to solve traffic congestion. This research investigates the status of Korea expressway through the Speed-Flow-Density diagram and finds the best suitable queueing model for each area. Dynamic structure in the queueing model enables us to reflect the structural change of the road in case of traffic congestion. To find the best model and estimate the parameters, we use the Newton-Raphson method. Finally, we examine the road efficiency in view of the optimal speed and density using the conditional distribution of speed and density of a S-F-D diagram.

• Tribology and Lubricants
• /
• v.35 no.6
• /
• pp.369-375
• /
• 2019

This paper presents a new method on how to calculate the thrust forces acting on an auto-leveling device in headlamps for passenger vehicles. The leveling device is used to lower the angle of lights when a load in the trunk of the vehicle lifts it. In the process of the headlamp design, it is imperative to predict the external forces so that the designers can decide whether to proceed or not. The device is composed of three pivot joints with no reaction moment, a plate that holds the lamp, and a leveling motor that changes rotation to linear motion. In this study, force balance, moment balance, and geometric compatibility are applied to the leveling device system so that a nonlinear system of equations can be derived; the multi-dimensional Newton-Raphson algorithm is then used to solve these. A sensitivity analysis is carried out to verify which design variables affect the system the most: the mass of the lamp and the height between the pivot and leveling device affect the thrust forces the most. Then, considering the friction forces between the moving parts, the hysteresis of the forces are derived. An experimental apparatus, designed and developed in this study, is used to verify the exactness of the derived equations. The results from experiments coincide well with the calculated results. The friction hysteresis, in particular, proves this upon analysis.

• Journal of the Korean Society for Marine Environment & Energy
• /
• v.7 no.4
• /
• pp.185-191
• /
• 2004

A mooring system can be applied to keep the position of a floating structures. In this study, the structural analysis is carried out to analyze the dynamic characteristics of a mooring line for a floating breakwater. A three-dimensional equations of motion for a submerged chain are derived. Bending stiffness is considered for the necessary restoring force in the regions of zero tension. A fortran program is to be developed by employing finite difference method. In the algorithm, an implicit time integration and Newton-Raphson iteration are adopted. The results of simulation show good agreement in tension response pattern with the experimental results of a reference. The results of this study can contribute for the design of mooring system for a floating breakwater.

• Korean Journal of Soil Science and Fertilizer
• /
• v.34 no.3
• /
• pp.213-236
• /
• 2001

The ionic composition of soil solution is related to a nutrient uptake by plant. Many models for estimating ionic composition of solution have been developed, and most of them have been used for calculating a content of mineral and ionic species in a geochemical point of view. An approximation model considering both cation and anion in soil solution was developed. Variables such as pH, Eh, EC, cations(K, Ca, Mg. Na, Fe, Mn, Al, $NH_4{^+}$), anions(Si, S, P, CY, $NO_3{^-}$, $HCO_3{^-}$ and chemical equilibria of ionic species in soil solution were input into Excel sheet. The activities of soluble ion, ionpairs and complexes of input element were estimated by Newton-Raphson method using conditional equilibrium constant calculated by Davies equation and special models. Equilibrium contents of insoluble minerals and complexes were also calculated.

• Journal of the Earthquake Engineering Society of Korea
• /
• v.2 no.2
• /
• pp.87-94
• /
• 1998

Behavioral characteristics of shallow circular arches with dynamic loading and different end conditions are analysed. Geometric nonlinearity is modelled using Lagrangian description of the motion. The finite element analysis procedure is used to solve the dynamic equation of motion, and the Newmark method is adopted in the approximation of time integration. The behavior of arches is analysed using the buckling criterion and non-dimensional time, load and shape parameters which Humphreys suggested. But a new deflection-ratio formula including the effect of horizontal displacement plus vertical displacement is presented to apply for the non-symmetric buckling problems. Through the model analysis, it's confirmed that fix-ended arches have higher buckling stability than hinge-ended arches, and arches with the same shape parameter have the same deflection ratio at the same time parameter when loaded with the same parametric load.

• Composites Research
• /
• v.29 no.3
• /
• pp.91-97
• /
• 2016

In this paper, impulse-momentum theory was coupled to a constitutive equation both for implementing quasi-static and impact characteristics of EPP (Expanded polypropylene). Also, parameters which have physical meanings were expressed as functions of relative density. Simultaneous nonlinear Newton-Raphson method was applied to find the proper values for parameters in the constitutive equation along with quasi-static test data. Results from the impulse-momentum theory coupled constitutive equation showed good agreement with experimental data and the potential to be applied to different material type polymeric foam.

• KSCE Journal of Civil and Environmental Engineering Research
• /
• v.8 no.2
• /
• pp.13-24
• /
• 1988

A geometrically nonlinear analysis procedure for plane frame structures in order to study the static and dynamic post-buckling behavior of these structures subjected to circulatory forces is presented. The elastic and geometric stiffness matrices, the mass matrix and load correction stiffness matrix are derived from the extended virtual work principle, where the tangent stiffness matrix becomes non-symmetric due to the effects of non-conservative circulatory forces. The dynamic analysis of plane frame structures subjected to circulatory forces in pre- and post-buckling ranges is carried out by integrating the equations of motion directly by the numerically stable Newmark method. Numerical results are presented in order to demonstrate the vality and accuracy of the proposed procedure.

• 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.

• 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.

• 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.