• 제목/요약/키워드: Newton method

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유압 베인 펌프에서의 탄성유체윤활 해석 (Elastohydrodynamic Lubrication Analysis in Hydraulic Vane Pump)

  • 박태조
    • 드라이브 ㆍ 컨트롤
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    • 제10권3호
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    • pp.7-13
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    • 2013
  • Hydraulic vane pumps are widely used in various hydraulic systems because of its compactness and light weight. It is well known that the vanes and cam ring are separated by very thin liquid films which result in the EHL state. Contrary to the case of cylindrical roller bearings, the inlet and side boundary pressures are much higher than the atmospheric pressure. In this paper, a numerical solution of the EHL of finite line contacts between the cam ring and vane tip with profiled ends is presented. Using a finite difference method with non-uniform grids and the Newton-Raphson method, converged solutions are obtained for moderate load and material parameters. The EHL pressure distribution and film shape are considerably affected by pump delivery pressure and the side boundary condition applied. Both the maximum pressure and the minimum film thickness always occurred near the edge regions. The present results can be used in the design of optimum vane profile in hydraulic vane pump.

비선형 유한요소법에서 선탐색 알고리즘의 적용에 의한 수렴속도의 개선 (Improvement of Convergence Rate by Line Search Algorithm in Nonlinear Finite Element Method)

  • 구상완;김낙수
    • 대한기계학회논문집A
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    • 제27권8호
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    • pp.1281-1286
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    • 2003
  • A line search algorithm to increase a convergence in Newton's method is developed and applied to nonlinear finite element analysis. The algorithm is based on the slack line search theory which is an efficient algorithm to determine initial acceleration coefficient, variable backtracking algorithm proposed by some researchers, and convergence criterion based on residual norm. Also, it is capable of avoiding exceptional diverging conditions. Developed program is tested in metal forming simulation such as forging and ring rolling. Numerical result shows the validity of the algorithm for a highly nonlinear system .

부등호의 등호화를 통한 OPF 해석 알고리즘 개발 (Development of OPF Algorithm with Changing Inequality to Equality)

  • 주운표;김건중;최장흠;엄재선;이병일
    • 대한전기학회논문지:전력기술부문A
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    • 제49권7호
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    • pp.339-344
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    • 2000
  • This paper presents an improved optimal power flow algorithm, which solves an optimization problem with equality constraints with converted inequality constraints. The standard OPF and the penalty function method should do reconstructing active constraints among the inequality constraints so that the activation of the inequality constraints has been imposing an additional burden to solve OPF problem efficiently. However the proposed algorithm converts active inequality constraints into the equality constraints in order to preclude us from reconstructing the procedures. The effectiveness of the new OPF algorithm is validated by applying the IEEE 14 bus system.

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유압 피스톤 펌프의 피스톤과 실린더 사이의 윤활해석 (제2보 : 피스톤의 왕복운동에 의한 영향) (A Lubrication Analysis between the Piston and Cylinder in Hydraulic Piston Pumps Part II : The Effect of Piston Reciprocating Motion)

  • 박태조
    • Tribology and Lubricants
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    • 제17권6호
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    • pp.435-440
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    • 2001
  • A numerical analysis between the piston and cylinder in hydraulic piston pumps under reciprocating motion is presented. A finite difference method and the Newton-Raphson method are used simultaneously to solve the Reynolds equation in the clearance and the equation of motion for the piston. The tapered piston showed stable behaviors regardless of their initial eccentric positions in the clearance, and the reciprocating speed affect highly on the piston end trajectories. Therefore, the numerical methods and results of present study can be used in the lubrication study of other piston-cylinder type fluid machineries.

사판식 유압 피스톤 펌프의 윤활해석 : 피스톤 왕복운동의 영향 (A Lubrication Analysis in Swash Plate Type Hydraulic Piston Pump : Effect of Piston Reciprocating Motion)

  • 박태조;구칠효
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 1999년도 제30회 추계학술대회
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    • pp.129-135
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    • 1999
  • A numerical analysis between the piston and cylinder in swash plate type hydraulic piston pumps under reciprocating motion is presented. A finite difference method and the Newton-Raphson method are used simultaneously to solve the Reynolds equation In the clearance and the equation of motion for the piston. The tapered piston showed stable behaviors regardless of their initial eccentric conditions in the clearance and the reciprocating speed affect highly on the piston end trajectories. Therefore, the results of present study can be used other types fluid machineries.

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산-염기 적정 시스템의 비선형 회귀분석에 관한 고찰 (Nonlinear Regression Analysis of Acid-Base Titration System)

  • 박정오;홍재진
    • 대한임상검사과학회지
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    • 제40권1호
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    • pp.18-25
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    • 2008
  • In classical titrimetric analyses, the major concern is the concentration of titrant, usually the aqueous solution of hydrochloric acid or sodium hydroxide, that could be changed as time goes by and it is accompanied with the inaccuracy of the resulting data. And the statistical approach, the nonlinear regression analysis, which is a well-known statistical method, was introduced to determine the accurate concentration of the titrant and the exact value of parameters, $K_a$, r, $C_a$, $C_b$, for 0.01 M aqueous solutions of analytes, sodium pyruvate, sodium acetate, sodium bicarbonate, ammonium hydroxide, ammonium chloride and acetic acid at $25^{\circ}C$. We used Gauss-Newton method for the linearlization of the nonlinear titration system and the two-parameter fitting showed appreciable convergent data for the parameters of the analytes set with the various range of $K_a$ value.

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공작기계 오차 모델링과 보정에 관한 연구 (On Error Modeling and Compensation of Machine Tools)

  • 송일규;최영
    • 한국정밀공학회지
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    • 제13권1호
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    • pp.98-107
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    • 1996
  • The use of composite hyperpatch model is proposed to predict a machine tool positional error over the entire work space. This is an appropriate representation of the distorted work space. This model is valid for any configuration of 3-axis machine tool. Tool position, which is given NC data or CL data, contains error vector in actual work space. In this study, off-line compensation scheme was investigated for tool position error due to inaccuracy in machine tool structure. The error vector in actual work space is corrected by the error model using Newton-Raphson method. The proposed error compensation method shows the possibility of improving machine accuracy at a low cost.

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Multinomial Kernel Logistic Regression via Bound Optimization Approach

  • Shim, Joo-Yong;Hong, Dug-Hun;Kim, Dal-Ho;Hwang, Chang-Ha
    • Communications for Statistical Applications and Methods
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    • 제14권3호
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    • pp.507-516
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    • 2007
  • Multinomial logistic regression is probably the most popular representative of probabilistic discriminative classifiers for multiclass classification problems. In this paper, a kernel variant of multinomial logistic regression is proposed by combining a Newton's method with a bound optimization approach. This formulation allows us to apply highly efficient approximation methods that effectively overcomes conceptual and numerical problems of standard multiclass kernel classifiers. We also provide the approximate cross validation (ACV) method for choosing the hyperparameters which affect the performance of the proposed approach. Experimental results are then presented to indicate the performance of the proposed procedure.

변동물림강성/감쇠와 마찰을 고려한 기어구동계의 동특성 해석 (Dynamic Analysis of a Gear Driving System with Time-varying Mesh Stiffness/Damping and Friction)

  • 김우형;정태일;정진태
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.224-231
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    • 2006
  • A six-degree-of-freedom dynamic model with time-varying mesh stiffness/damping and friction has been developed for the dynamic analysis of a gear driving system. This model includes a spur gear pair, bearing, friction and prime mover. Using Newton???s method, equations of motion for the gear driving system were derived. Two computer programs are developed to calculate mesh stiffness, transmission error and friction force and analyze the dynamics of the modeled system using a time integration method. The influences of mesh stiffness/damping, bearing, and friction affecting the system were investigated by performing eigenvalue analysis and time response analysis. It is found that the reduction of the maximum peak magnitude by friction is decided according to designing the positions of pitch point and maximum peak in the responses.

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상태변수와 입력변수에 시간지연을 갖는 불확정 동적 시스템의 제어기 설계 (Delay-Dependent Stabilization for Uncertain Dynamic Systems with State and Input Delays)

  • 조현주;박주현
    • 대한전기학회논문지:시스템및제어부문D
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    • 제54권4호
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    • pp.215-219
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    • 2005
  • This paper aims at asymptotic stabilization for uncertain dynamic systems with state and input delays. We propose a memoryless state feedback controller which maximizes the delay bound for guaranteeing stability of the system. Using Lyapunov method and linear matrix inequality (LMI) approach, a delay-dependent stabilization criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. The criterion is represented in terms of LMIs, which can be solved by various efficient convex optimization algorithms. Numerical examples are given to illustrate our main method.