• Title/Summary/Keyword: Newton-Raphson

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Position Measuring System Design using Time Difference of Arrival (송신 신호의 도달 시간차(TDOA)를 이용한 위치 측정 시스템의 구현)

  • Kim, Dong-Uk
    • Proceedings of the KIEE Conference
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    • 2001.11c
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    • pp.394-397
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    • 2001
  • There are several methods of measuring position. For example GPS, AOA, TDOA and using radio camera. In this Paper I used TDOA method in position measuring system. TDOA method uses arrival time difference. In position measuring system, three transfers which is placed in different position transfer signal to receiver in fixed time interval and receiver records arrival time of signal. Because receiver knows idle signal's arrival time, receiver can calculate the difference of the signal's arrival time between idle and real. When we obtain time difference we can know the receiver position by Newton Raphson method.

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Variance function estimation with LS-SVM for replicated data

  • Shim, Joo-Yong;Park, Hye-Jung;Seok, Kyung-Ha
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.5
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    • pp.925-931
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    • 2009
  • In this paper we propose a variance function estimation method for replicated data based on averages of squared residuals obtained from estimated mean function by the least squares support vector machine. Newton-Raphson method is used to obtain associated parameter vector for the variance function estimation. Furthermore, the cross validation functions are introduced to select the hyper-parameters which affect the performance of the proposed estimation method. Experimental results are then presented which illustrate the performance of the proposed procedure.

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Investigation on the Strength and Vibration Safety of the Oxidizer Turbopump (산화제 터보펌프의 구조 강도 및 진동 안전성에 관한 연구)

  • Jeon, Seong Min;Kim, Jinhan;Yang, Soo-Seok;Lee, Dae-Sung
    • 유체기계공업학회:학술대회논문집
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    • 2001.11a
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    • pp.271-278
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    • 2001
  • Structural and dynamic analyses of inducer and impeller for a oxidizer turbopump are peformed to investigate the safety level of strength and vibration at design point. Due to high rotational speed of turbopump, effects of centrifugal forces are carefully considered in the structural analysis. Hydrodynamic pressure is also considered as an external force applied to inducer and impeller blades. A three dimensional finite element method(FEM) is used for linear and nonlinear structural analyses with modified Newton-Raphson iteration method. After the nonlinear trim solution is obtained from the structural analysis, dynamic characteristics are obtained as a function of rotational speed from the linearized eigenvalue analysis at an equilibrium position. According to the results of numerical analysis, the safety margins of strength and vibration resonances m sufficient enough to be operated safely within the required life cycle.

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New Closed-Form Direct Kinematic Solution of the 3-6 Stewart-Gough Platform Using the Tetrahedron Approach

  • Song, Se-Kyong;Kwon, Dong-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.83.4-83
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    • 2001
  • The paper presents a new closed-form, not a polynomial-form, solution of the direct kinematics of the 3-6 (Stewart-Gough) Platform. Many research works have presented a single high-order polynomial equation of the direct kinematics. However the polynomial equation causes potential problems such as complicated formulation procedures and discrimination of the actual solution from all roots, which results in time-consuming task and heavy computational burden. Thus, to overcome these problems, we use a new formulation approach, based on the Tetrahedron Approach, to derive easily a closed-form nonlinear equation of the direct kinematics and use not the Newton-Raphson method, but the Secant method to obtain quickly the solution from ...

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Anti Roll Bar Force Computation Algorithm for Real Time Multibody Vehicle Dynamics (실시간 차량 동역학 해석을 위한 안티 롤 바 힘 계산 알고리듬)

  • Kim, Sung-Soo;Jeong, Wan-Hee;Ha, Kyoung-Nam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.2
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    • pp.170-176
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    • 2008
  • Anti roll bar model for real time multibody vehicle dynamics model has been proposed using kinematic constraint. Anti roll bar have been modeled by kinematic relationship, and mass properties are neglected. Relative angle of torsion bar spring is computed by constraint about drop-link using Newton-Raphson iteration, and then the torque of torsion bar spring can be computed with the angle and torsion spring stiffness. Finally anti roll bar force acting on both knuckle can be calculated. To validate the proposed method, half car simulations of McPherson strut suspension and full car simulations are also carried out comparing with the ADAMS vehicle model with anti roll bar. CPU times are also measured to see the real-time capabilities of the proposed method.

Forward Kinematics Analysis of a Parallel Manipulator Using Neural Network (MEURAL NETWORK을 이용한 병렬매니플레이터의 순기구학 해석)

  • 이제섭;최병오;조택동
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.224-228
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    • 2000
  • In this paper, the kinematics of the new type of parallel manipulator is studied, and neural network is applied to solve the forward kinematics problem. The parallel manipulator, called a Stewart platform, has an easy and unique solution about the inverse kinematics, however the forward kinematics is difficult to get the solution because of the lack of an efficient algorithm due to its highly nonlinearity. This paper proposes the neural network scheme as an alternative Newton-Raphson method. The neural network is found to improve its accuracy by adjusting the offset of the result obtained.

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A study on improving efficiency in computational procedure of finite element nonlinear analysis of plane frame structures (평면 프레임 구조물의 유한요소 비선형 해석을 위한 효율적인 수치해석 방법에 관한 연구)

  • 구정서;이병채;곽병만
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.4
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    • pp.631-641
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    • 1988
  • Computational procedures associated with finite element nonlinear analysis of plane frame structures were examined and new solution schemes were suggested. Element stiffness matrix was derived from the principle of virtual displacements. Geometric and material nonlinearities were considered in the formulation. Solution method was based upon the constant displacement length method in conjunction with the Newton-Raphson method. New solution schemes were introduced in determining the initial load increment and the sign of load increments and predicting the length of displacement increment to improve user convenience, efficiency and stability. Numerical experiments were performed for several typical problems and suggested schemes were found efficient and convenient for analyzing nonlinear frame structures.

An Efficient Iterative Inverse Kinematic Analysis for General Robot Manipulators Using Near Position (근접 위치를 이용한 일반적인 로봇 매니퓰레이터의 효율적인 반복적 역기구학 해석 문제)

  • 강성철;조소형;김문상;조선휘
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1640-1648
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    • 1991
  • 본 연구에서는 이러한 편사 함수 최소화의 방법을 적용함에 있어 보다 안정된 수렴성과 계산 시간을 단축시키기 위하여 근접 위치 방법(near position method)을 개 발하여 적용하였다. 근접 위치 방법이란 이론적 해석법으로 풀기가 불가능한 기구학 을 갖는 6관절 로봇을 반복적 해석법을 사용한다는 것을 전제로 하여, 초기 위치를 목 표 위치에 가능한 근접하게 잡아서 반복 계산을 수행하는 방법으로써 로봇의 기구학적 자세에 따른 수렴의 불안정성을 방지하고, 계산 시간을 단축하는데 그 목적이 있다.

Geometrically nonlinear analysis of laminated composites by an improved degenerated shell element

  • Yoo, Seung-Woon;Choi, Chang-Koon
    • Structural Engineering and Mechanics
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    • v.9 no.1
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    • pp.99-110
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    • 2000
  • The objective of this paper is to extend the use of the improved degenerated shell element to the linear and the large displacement analysis of plates and shells with laminated composites. In the formulation of the element stiffness, the combined use of three different techniques was made. This element is free of serious shear/membrane locking problems and undesirable compatible/commutable spurious kinematic deformation modes. The total Lagrangian approach has been utilized for the definition of the deformation and the solution to the nonlinear equilibrium equations is obtained by the Newton-Raphson method. The applicability and accuracy of this improved degenerated shell element in the analysis of laminated composite plates and shells are demonstrated by solving several numerical examples.

Large deflection analysis of point supported super-elliptical plates

  • Altekin, Murat
    • Structural Engineering and Mechanics
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    • v.51 no.2
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    • pp.333-347
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    • 2014
  • Nonlinear bending of super-elliptical plates of uniform thickness under uniform transverse pressure was investigated by the Ritz method. The material was assumed to be homogeneous and isotropic. The contribution of the boundary conditions at the point supports was introduced by the Lagrange multipliers. The solution was obtained by the Newton-Raphson method. The influence of the location of the point supports on the central deflection was highlighted by sensitivity analysis. An approximate relationship between the central deflection and the super-elliptical power was obtained using the method of least squares. The critical points where the maximum deflection may develop, and the influence of nonlinearity were highlighted. The nonlinearity was found to be sensitive to the aspect ratio. The accuracy of the algorithm was validated by comparing the central deflection with the solutions of elliptical and rectangular plates.