• Title/Summary/Keyword: Newton′s method

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Clearance and preload effects on NRRO of miniaturc ball bearings with waviness

  • Kim, Y.C.;Choi, S.K.;Yoon, K.C.
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.10b
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    • pp.303-304
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    • 2002
  • This paper presents theoretical analysis of the NRRO(the non-repeatable run-out) for a ball bearing with geometric imperfection. This imperfection contains ball size error, ball waviness, outer race waviness and inner race waviness. The 3D dynamic analysis of a ball bearing using the Newton-Raphson method is performed to calculate the displacement of shaft center. The radial and axial NRRO are simulated, and preload and clearance effects are investigated. Preload and clearance have significant effects on radial and axial NRRO of for miniature ball bearings.

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SOME OPTIMAL METHODS WITH EIGHTH-ORDER CONVERGENCE FOR THE SOLUTION OF NONLINEAR EQUATIONS

  • Kim, Weonbae;Chun, Changbum
    • Journal of the Chungcheong Mathematical Society
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    • v.29 no.4
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    • pp.663-676
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    • 2016
  • In this paper we propose a new family of eighth order optimal methods for solving nonlinear equations by using weight function methods. The methods of the family require three function and one derivative evaluations per step and has order of convergence eight, and so they are optimal in the sense of Kung-Traub hypothesis. Precise analysis of convergence is given. Some members of the family are compared with several existing methods to show their performance and as a result to confirm that our methods are as competitive as compared to them.

Face Recognition Based on Improved Fuzzy RBF Neural Network for Smar t Device

  • Lee, Eung-Joo
    • Journal of Korea Multimedia Society
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    • v.16 no.11
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    • pp.1338-1347
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    • 2013
  • Face recognition is a science of automatically identifying individuals based their unique facial features. In order to avoid overfitting and reduce the computational reduce the computational burden, a new face recognition algorithm using PCA-fisher linear discriminant (PCA-FLD) and fuzzy radial basis function neural network (RBFNN) is proposed in this paper. First, face features are extracted by the principal component analysis (PCA) method. Then, the extracted features are further processed by the Fisher's linear discriminant technique to acquire lower-dimensional discriminant patterns, the processed features will be considered as the input of the fuzzy RBFNN. As a widely applied algorithm in fuzzy RBF neural network, BP learning algorithm has the low rate of convergence, therefore, an improved learning algorithm based on Levenberg-Marquart (L-M) for fuzzy RBF neural network is introduced in this paper, which combined the Gradient Descent algorithm with the Gauss-Newton algorithm. Experimental results on the ORL face database demonstrate that the proposed algorithm has satisfactory performance and high recognition rate.

Minimum Disparity Estimation for Normal Models: Small Sample Efficiency

  • Cho M. J.;Hong C. S.;Jeong D. B.
    • Communications for Statistical Applications and Methods
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    • v.12 no.1
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    • pp.149-167
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    • 2005
  • The minimum disparity estimators introduced by Lindsay and Basu (1994) are studied empirically. An extensive simulation in this paper provides a location estimate of the small sample and supplies empirical evidence of the estimator performance for the univariate contaminated normal model. Empirical results show that the minimum generalized negative exponential disparity estimator (MGNEDE) obtains high efficiency for small sample sizes and dominates the maximum likelihood estimator (MLE) and the minimum blended weight Hellinger distance estimator (MBWHDE) with respect to efficiency at the contaminated model.

Dynamic Elastohydrodynamic Film Thickness in Rocker-Arm Valve Train System (로커암 밸브 트레인의 동적 탄성유체윤활 유막 연구)

  • 장시열;이희락
    • Tribology and Lubricants
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    • v.19 no.4
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    • pp.195-202
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    • 2003
  • Many computational researches have been performed about EHL film thickness in the contact between cam and follower in the engine valve train system. However, those computations do not explain the characteristics of dynamic film thickness which means squeeze film effect. Without the consideration of transient term in the Reynold's equation, the predicted film thickness from steady state condition has large difference from the actual film thickness. In this study, we have investigated the kinematic and dynamic simulations of rocker-arm valve train system. From the dynamic simulation, the applied load and the entraining velocity of the lubricant between cam and follower are obtained and with these values the dynamic film thickness is computed by Newton-Raphson method and compared with the steady state film thickness.

A FINITE ELEMENT APPROXIMATION OF A FOURTH-ORDER NONLINEAR BOUNDARY VALUE PROBLEM

  • Lee, Hyun-Yong;Ohm, Mi-Ray;Shin, Jun-Yong
    • Journal of applied mathematics & informatics
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    • v.8 no.3
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    • pp.935-942
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    • 2001
  • A finite element approximation of a fourth-order nonlinear boundary value problem is given. In the direct implementation, a nonlinear system will be obtained and also a full size matrix will be introduced when Newton’s method is adopted to solve the system. To avoid this difficulty we introduce an iterative scheme which can be shown to converge the positive solution of the system lying between 0 and $sin{\pi}x$.

Analysis of lever actuator for the optical disk (광 픽업용 레버 구동기의 해석)

  • 한창수;김수현
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.618-621
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    • 2001
  • The proposed lever actuator has no friction and mass balance characteristics in motion, which are adapt to high-speed and high-density optical disk system. This paper discussed about the theoretical analysis of the lever structure. The modeling of the lever actuator is found. Using the Newton's method, the motion of equation is deduced through the constraint equations and equilibrium equations in three directions (focusing, tracking and tilting). From the above analysis, we know that the shape of the hinge is the very important parameter on determining the performance of the lever actuator, and the actuator has the 2nd order system characteristics. And the first resonant frequency in transmissibility is dependent to the rigidity of the lever while the first transmissibility resonance of conventional actuators is dependent to the first natural resonance of those actuators. This means that the lever actuator is more stable to the external vibration.

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On statistical Computing via EM Algorithm in Logistic Linear Models Involving Non-ignorable Missing data

  • Jun, Yu-Na;Qian, Guoqi;Park, Jeong-Soo
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.11a
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    • pp.181-186
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    • 2005
  • Many data sets obtained from surveys or medical trials often include missing observations. When these data sets are analyzed, it is general to use only complete cases. However, it is possible to have big biases or involve inefficiency. In this paper, we consider a method for estimating parameters in logistic linear models involving non-ignorable missing data mechanism. A binomial response and normal exploratory model for the missing data are used. We fit the model using the EM algorithm. The E-step is derived by Metropolis-hastings algorithm to generate a sample for missing data and Monte-carlo technique, and the M-step is by Newton-Raphson to maximize likelihood function. Asymptotic variances of the MLE's are derived and the standard error and estimates of parameters are compared.

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A Position Control for a Parallel Stage with 6 degrees of freedom Using Magnetic Actuators (전자기 구동장치를 이용한 병렬형 6자유도 스테이지의 위치제어)

  • Lee Se-Han
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.7 s.172
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    • pp.102-111
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    • 2005
  • In this paper, we address a position control for a parallel stage, which is levitated and driven by electric magnetic force. This consists of a levitating object (called platen) with 4 permanent magnetic linear synchronous motors in parallel. Each motor generates vertical force for suspension against gravity and propulsion force horizontally as well. This stage can generate six degrees of freedom motion by the vertical and horizontal force. A dynamic equation of the stage system is derived based on Newton-Euler method and it's special Jacobian matrix describing a relation between the limited velocity and Cartesian velocity is done. There are proposed two control methods for positioning which are Cartesian space controller and Actuator space controller. The control performance of the Cartesian space controller is better than the Actuator space controller in task space trajectory while the Actuator space controller is simpler than the Cartesian space controller in controller realization.

Economic Load Flow Considering Generation Power Limits (발전력 상하한치를 고려한 경제조류계산)

  • Shin, M.C.;Kim, K.J.;Rhee, B.;Huh, H.;Choi, J.H.;Oh, S.K.
    • Proceedings of the KIEE Conference
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    • 2001.07a
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    • pp.119-121
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    • 2001
  • This paper deals with economic load flow which have objective funtion about generation fuel cost and constraints about power flow equation and generation power limits. A algorithm using penalty method with newton approach is presented. The proposed algorithm is verified through the comparison with lossless ELD on the IEEE 14 system.

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