• Title/Summary/Keyword: Newton method

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A Study on the Queueing Process with Dynamic Structure for Speed-Flow-Density Diagram (동적구조를 갖는 대기행렬 모형: Speed-Flow-Density 다이어그램을 중심으로)

  • Park, You-Sung;Jeon, Sae-Bom
    • The Korean Journal of Applied Statistics
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    • v.23 no.6
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    • pp.1179-1190
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    • 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.

Nonlinear Analysis of Improved Degenerated Shell Finite Element (개선된 Degenerated 쉘 유한요소의 비선형 해석)

  • 최창근;유승운
    • Computational Structural Engineering
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    • v.3 no.3
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    • pp.113-123
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    • 1990
  • The paper is concerned with the elasto-plastic and geometrically nonlinear analysis of shell structures using an improved degenerated shell element. In the formulation of the element stiffness, the combined use of three different techniques was made. They are; 1) an enhanced interpolation of transverse shear strains in the natural coordinate system to overcome the shear locking problem ; 2) the reduced integration technique in in-plane strains to avoid the membrane locking behavior ; and 3) selective addition of the nonconforming displacement modes to improve the element performances. This element is free of serious shear/membrane locking problems and undesirable compatible/commutable spurious kinematic deformation modes. In the formulation for plastic deformation, the concept of a layered element model is used and the material is assumed von Mises yield criterion. An incremental total Lagrangian formulation is presented which allows the calculation of arbitrarily large displacements and rotations. The resulting non-linear equilibrium equations are solved by the Netwon-Raphson method combined with load or displacement increment. The versatility and accuracy of this improved degenerated shell element are demonstrated by solving several numerical examples.

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A Dynamics Model of Rotor Blades for Real-time Simulation of Helicopters (실시간 헬리콥터 시뮬레이션을 위한 회전 깃의 역학적 모델)

  • Park, Su-Wan;Ryu, Kwan-Woo;Kim, Eun-Ju;Baek, Nak-Hoon
    • The KIPS Transactions:PartA
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    • v.14A no.5
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    • pp.255-262
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    • 2007
  • Physically-based researches on simulating helicopter motions have been achieved in the field of aeronautics, aerodynamics and others. These results, however, have not been appled in the computer graphics area, mainly due to their complex equations and heavy computations. In this paper, we propose a dynamics model of helicopter rotor blades, which would be easy to implement, and suitable for real-time simulations of helicopters in the computer graphics area. Helicopters fly by the forces due to the collisions between air and rotor blades. These forces can be interpreted as the impulsive forces between the fluid and the rigid body. Based on these impulsive forces, we propose an approximated dynamics model of rotor blades, and it enables us to simulate the helicopter motions using existing rigid body simulation methods. We compute forces due to the movement of rotor blades according to the Newton's method, to achieve its real-time computations. Our prototype implementation shows real-time aerial navigation of helicopters, which are murk similar to the realistic motions.

Ultrasonic C-scan Technique for Nondestructive Evaluation of Spot Weld Quality (Spot용접 접합면의 초음파 비파괴평가 기법 제 1보 C-scan 기법을 중심으로)

  • Park, Ik-Gun
    • Journal of the Korean Society for Nondestructive Testing
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    • v.14 no.2
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    • pp.112-121
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    • 1994
  • This paper discusses the feasibility of ultrasonic C-scan technique for nondestructive evaluation of spot weld quality. Ultrasonic evaluation for spot weld quality was performed by immersion method with the mechanical and the electronic scanning of point-focussed ultrasonic beam(25 MHz). For the sake of the approach to the quantitative measurement of nugget diameter and the discrimination of the corona bond from nugget, preliminary infinitesimal gap experiment by newton ring is tried in order to set up the optimum ultrasonic test condition. Ultrasonic image data obtained were confirmed and compared by optical microscope and SAM(Scanning Acoustic Microscope) observation of the spot-weld cross section. The results show that the nugget diameter can be measured with the accuracy of 1.0mm, and voids included in nugget can be detected to $10{\mu}m$ extent with simplicity and accuracy. Finally, it was found that it is necessary to make a profound study of definite discrimination of corona bond from nugget and the approach of quantitative evaluation of nugget diameter by utilizing the various image processing techniques.

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Effect of Friction on the Hysteresis of the Thrust Forces Acting on Auto Leveling Devices in Vehicle Head Lamps (헤드 램프 빛의 각도 자동 조절 장치에 작용하는 추력의 히스테리시스에 대한 마찰의 영향)

  • Baek, Hong;Kim, Jae-Hoon;Nam, Jin-Sik;Park, Sang-Shin
    • Tribology and Lubricants
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    • v.35 no.6
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    • pp.369-375
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    • 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.

A Study on the Design of a Double Cantilever Structure Friction Tester for Precision Friction Measurement (정밀 마찰측정을 위한 이중 캔틸레버 구조 마찰시험기의 설계에 관한 연구)

  • Kang, Won-Bin;Kim, Hyun-Joon
    • Tribology and Lubricants
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    • v.34 no.4
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    • pp.125-131
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    • 2018
  • A precision tribometer consisting of a cantilever was designed to measure frictional forces in the micro-Newton range. As frictional forces are measured based on the bending of the cantilever, vibration of the cantilever is the most significant factor affecting the quality of the friction measurement. Therefore, improved design of the tribometer with double cantilevers and a connecting plate that united the two cantilevers mechanically was suggested. For the verification of the modified design of the tribometer, numerical analysis and experiments were conducted. Examination using the finite element method revealed that the tribometer with a double cantilever and a connecting plate exhibited faster damping characteristics than the tribometer with a single cantilever. In the experiment, effectiveness of the double cantilever and connecting plate for vibration reduction was also confirmed. Vibration of the tribometer with double cantilever decreased eight times faster than that of the tribometer with a single cantilever. The faster damping of the double cantilever design is attributed to the mechanical interaction at the contacting surfaces between the cantilever and the connecting plate. Tribotesting using the tribometer with a single cantilever resulted in random fluctuation of frictional forces due to the stick-slip behavior. However, using the tribometer with a double cantilever and connecting plate for the tribotest gave relatively uniform and steady measurement of frictional forces. Increased stiffness owing to using a double cantilever and mechanical damping of the connecting plate were responsible for the stable friction signal.

Analysis on Tension Response of Mooring Line by Lateral Excitation (수평가진에 의한 계류라인의 장력응답 해석)

  • Jung Dong Ho;Kim Hyeon Ju;Moon Deok Su;Park Han Il;Choi Hak Sun
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.7 no.4
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    • pp.185-191
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    • 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.

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Design and Analysis of Computer Experiments with An Application to Quality Improvement (품질 향상에 적용되는 전산 실험의 계획과 분석)

  • Jung Wook Sim;Jeong Soo Park;Jong Sung Bae
    • The Korean Journal of Applied Statistics
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    • v.7 no.1
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    • pp.83-102
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    • 1994
  • Some optimal designs and data analysis methods based on a Gaussian spatial linear model for computer simulation experiments are considered. For designs of computer experiments, Latin-hypercube designs and some optimal designs are combined. A two-stage computational (2-points exchange and Newton-type) algorithm for finding the optimal Latin-hypercube design is presented. The spatial prediction model which was discussed by Sacks, Welch, Mitchell and Wynn(1989) for computer experiments, is used for analysis of the simulated data. Moreover, a method of contructing sequential (optimal) Latin-hypercube designs is considered. An application of this approach to the quality improvement and optimization of the integrated circuit design via the main-effects plot and the sequential experimental strategy is presented.

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Model for Ionic Species Estimation in Soil Solutio (토양용액의 이온조성 추정모델)

  • Kim, Yoo-Hak;Yoon, Jung-Hui;Jung, Beung-Gan;Kim, Min-Kyun
    • Korean Journal of Soil Science and Fertilizer
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    • v.34 no.3
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    • pp.213-236
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    • 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.

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A Study on Buckling Behavior of Shallow Circular Arches (낮은 원호아치의 좌굴거동에 대한 연구)

  • 김연태;허택녕;오순택
    • Journal of the Earthquake Engineering Society of Korea
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    • v.2 no.2
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    • pp.87-94
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    • 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.

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