• Title/Summary/Keyword: Newton-Raphson

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Note on Calculation of Cnoidal Wave Parameters (크노이드파의 매개변수 산정)

  • Cho, Yong-Sik
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.7 no.3
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    • pp.227-232
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    • 1995
  • A new evaluation procedure for calculating the Jacobian elliptic parameter is presented. This procedure is useful in calculating the trajectory for cnoidal wave generation. Upon specification of water depth, the wave height and either the wave period or the wavelength, the presented algorithm uses the Newton-Raphson method and the arithmetic and geometric-mean scales to calculate the profile directly, without trial and error procedures or look-up in tables. It is shown that the algorithm provides equally accurate result as the ad hoc methods previously used.

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The Lubrication Characteristics of a Rotary Compressor Used for Refrigeration and Air-conditioning Systems (Part III; Analysis of partial elastohydrodynamic lubrication on vane tip)

  • 조인성;오석형;정재연
    • Tribology and Lubricants
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    • v.17 no.2
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    • pp.138-145
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    • 2001
  • The rolling piston type rotary compressor has been widely used for refrigeration and air-conditioning systems due to its compactness and high-speed operation. The present analysis is a part of research program directed toward maximizing these advantages of refrigerant compressors. The study of lubrication characteristics in the critical sliding component is essential for the design of refrigerant compressors. Therefore, theoretical investigation of the lubrication characteristics of a rotary compressor used for refrigeration and air-conditioning systems is studied. Newton-Raphson method is used for the partial elastohydrodynamic lubrication analysis between vane and rolling piston in the rotary compressor. The results show that the rotational speed of a shaft and the discharge pressure influence significantly the friction force and the energy loss between vane and rolling piston.

Elastohydrodynamic Film Thickness in Elliptical Contacts with Rolling and Spinning (구름/스핀 운동을 하는 경우의 타원접촉 EHL 유막두께)

  • Park, Tae-Jo
    • Tribology and Lubricants
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    • v.24 no.6
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    • pp.355-361
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    • 2008
  • In highly stressed machine elements such as angular contact ball bearings and toroidal type traction drives, the elastohydrodynamic lubrication of elliptical contacts with both rolling and spinning motion are occur. In this paper, a finite difference method with non-uniform grid systems and the Newton-Raphson method are applied to solve the problems. Pressure distributions, film contours and variations of the minimum and central film thicknesses are compared with various ellipticity parameter, dimensionless speed and load parameter. The results showed that the spinning motion has significant influence especially on the film shapes. Reduction of the minimum film thickness under spinning is remarkable whereas the central film thickness is relatively less. Especially variations of the minimum film thicknesses with rolling velocity, load and ellipticity ratio are a great different from those of pure rolling. Therefore present numerical scheme can be used in the analysis of general elliptical contact EHL problems and further studies are required.

Testing for a Unit Root in an ARIMA(p,1,q) Signal Observed with Measurement Error

  • Lee, Jong-Hyup;Shin, Dong-Wan
    • Journal of the Korean Statistical Society
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    • v.24 no.2
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    • pp.481-493
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    • 1995
  • An ARIMA signal observed with measurement error is shown to have another ARIMA representation with nonlinear restrictions on parameters. For this model, the restricted Newton-Raphson estimator(RNRE) of the unit root is shown to have the same limiting distribution as the ordinary least squares estimator of the unit root in an AR(1) model tabulated by Dickey and Fuller (1979). The RNRE of parameters of the ARIMA(p,1,k) process and unit root tests base on the RNRE are developed.

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Polychotomous Machines;

  • Koo, Ja-Yong;Park, Heon Jin;Choi, Daewoo
    • Communications for Statistical Applications and Methods
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    • v.10 no.1
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    • pp.225-232
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    • 2003
  • The support vector machine (SVM) is becoming increasingly popular in classification. The import vector machine (IVM) has been introduced for its advantages over SMV. This paper tries to improve the IVM. The proposed method, which is referred to as the polychotomous machine (PM), uses the Newton-Raphson method to find estimates of coefficients, and the Rao and Wald tests, respectively, for addition and deletion of import points. Because the PM basically follows the same addition step and adopts the deletion step, it uses, typically, less import vectors than the IVM without loosing accuracy. Simulated and real data sets are used to illustrate the performance of the proposed method.

n Analysis of Elastohydrodynamic lubrication in Line Contacts-the effect of temperature variation (유체 온도 변화를 고려한 선 접촉면사이의 탄성유체윤활 해석)

  • 서민호;임윤철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2001.11a
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    • pp.364-373
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    • 2001
  • This paper describes the variation of lubricant's temperature effects on elastohydrodynamic lubrication. The Newton-Raphson technique was used to solve the simultaneous system of Reynolds and elasticity equations. To show effects of lubricant's temperature, average temperature across the oil film was calculated using the energy equation. Pressure distribution, film shape, and temperature distribution were obtained for fully flooded conjunctions, and various dimensionless speed parameters while load and material parameters were held constant. Minimum film thickness were obtained for various material properties while load and velocity were held constant. It is drawn that the thermal effects have a strong influence on a minimum film thickness under high rolling velocity and slip ratio.

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Study on the flexible media behavior impacting on the horizontal guide (수평가이드에 충돌하는 유연매체의 거동에 관한 연구)

  • Jee, Jung-Geun;Hong, Sung-Kwon;Jang, Yong-Hoon;Park, No-Cheol;Park, Young-Pil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.388-391
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    • 2006
  • In the development of sheet-handling machinery, it is important to predict the static and dynamic behavior of the sheets with a high degree of reliability because the sheets are fed and stacked at such a high speed. Flexible media behaves geometric nonlinearity of large displacement and small strain. In this paper, static and dynamic analyses of flexible media are performed by FEM considering geometric nonlinearity. Linear stiffness matrix and geometric nonlinear stiffness matrix based on the Co-rotational(CR) approach are derived and numerical simulations are performed by Updated Newton-Raphson(UNR) method and Newmark integration scheme.

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Inverse Heat Conduction Problem in One-Dimensional Time-Dependent Medium with Modified Newton-Raphson Method

  • Kim, Sin;Lee, Yoon-Joon;Lee, Jung-hoon;Kim, Min-Chan
    • Journal of Energy Engineering
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    • v.9 no.1
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    • pp.37-40
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    • 2000
  • An inverse problem is solved to determine the space-dependent thermal conductivity in one-dimensinoal time-dependent heat conduction medium with the data imposed and measured at the two end-points. The thermal conductivity is approximated as a linear combination of known functions with unknown coefficients and the unknowns are obtained by the governing and sensitivity equations using modified Newton-Raphson method. The estimated results are compared with exact thermal conductivities and it shows good agreements. This approach is expected to be used to estimate spatial composition of heat conduction medium.

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A New Algorithm of Load Flow without Using Jacobian Matrix (Jacobian Matrix를 배제한 조류계산의 새 알고리즘에 관한 연구)

  • Moon, Young-Hyun;Roh, Tae-Hoon;Ryu, Heon-Soo;Heo, Young
    • Proceedings of the KIEE Conference
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    • 1997.07c
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    • pp.1074-1077
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    • 1997
  • Newton-Raphson method is mainly used since it shows remarkable convergence characteristics. It, however, needs considerable calculation time in construction and calculation of inverse Jacobian matrix. In this paper a new type of load flow equation is summarized as follows: Since inverse calculation of Jacobian matrix is not needed in the suggested algorithm but using complex bus voltage, the calculation process is simple. With the simple structure, reduction of calculation time is achieved.

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Development of Optimal Path Planning for Automated Excavator (자동화 굴삭기 최적경로 생성 알고리즘 개발)

  • Shin, Jin-Ok;Park, Hyong-Ju;Lee, Sang-Hak;Hong, Dae-Hee
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.78-83
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    • 2007
  • The paper focuses on the establishment of optimized bucket path planning and trajectory control designated for force-reflecting backhoe reacting to excavation environment, such as potential obstacles and ground characteristics. The developed path planning method can be used for precise bucket control, and more importantly for obstacle avoidance which is directly related to safety issues. The platform of this research was based on conventional papers regarding the kinematic model of excavator. Jacobian matrix was constructed to find optimal joint angles and rotation angles of bucket from position and orientation data of excavator. By applying Newton-Raphson method optimal joint angles and bucket orientation were derived simultaneously in the way of minimizing positional errors of excavator. The model presented in this paper was intended to function as a cornerstone to build complete and advanced path planning of excavator by implementing soil mechanics and further study of excavator dynamics together.

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