• 제목/요약/키워드: interpolation error

검색결과 503건 처리시간 0.032초

Lagrange 이차 보간 다항식을 이용한 적분연산 행렬의 오차 해석에 관한 연구 (A Study on The Error Analysis of Integration Operational Metrices by The Lagrange Second Order Interpolation Polvnomial)

  • 이해기;김태훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 학술대회 논문집 전문대학교육위원
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    • pp.55-57
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    • 2003
  • This paper presents a new method for finding the Block Pulse series coefficients and deriving the Block Pulse integration operational matrices which are necessary for the control fields using the Block Pulse functions. In this paper, the accuracy of the Block Pulse series coefficients derived by using the Lagrange second order interpolation polynomial is approved by the mathematical method.

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쿼터니언의 Spherical Cubic Interpolation 을 이용한 상하이송 로봇의 조향 방법에 관한 연구 (Steering Control Algorithm of an Up and Down Motion Robot Using a Quaternion with Spherical Cubic Interpolation)

  • 정원지;김기정;김성현;김효곤;서영교;이기상
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.1832-1835
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    • 2005
  • This paper presents the steering control algorithm of an up and down motion robot using a quaternion. The up and down motion robot is to be moved on an irregular floor that can inevitably result in the errors of both position and orientation. Especially the orientation error should be compensated every work in order to adjust the misaligned values of current orientation to those commanded values. In this paper, we propose a new steering control algorithm between the two values by using a quaternion with spherical cubic interpolation. The proposed algorithm is shown to be effective in terms of vibration when compared to a conventional simple compensation without interpolation, by using $MATLAB^{(R)}$ and $VisualNastran4D^{(R)}$

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Spatial Interpolation of Meteorologic Variables in Vietnam using the Kriging Method

  • Nguyen, Xuan Thanh;Nguyen, Ba Tung;Do, Khac Phong;Bui, Quang Hung;Nguyen, Thi Nhat Thanh;Vuong, Van Quynh;Le, Thanh Ha
    • Journal of Information Processing Systems
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    • 제11권1호
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    • pp.134-147
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    • 2015
  • This paper presents the applications of Kriging spatial interpolation methods for meteorologic variables, including temperature and relative humidity, in regions of Vietnam. Three types of interpolation methods are used, which are as follows: Ordinary Kriging, Universal Kriging, and Universal Kriging plus Digital Elevation model correction. The input meteorologic data was collected from 98 ground weather stations throughout Vietnam and the outputs were interpolated temperature and relative humidity gridded fields, along with their error maps. The experimental results showed that Universal Kriging plus the digital elevation model correction method outperformed the two other methods when applied to temperature. The interpolation effectiveness of Ordinary Kriging and Universal Kriging were almost the same when applied to both temperature and relative humidity.

적응 경계요소법을 이용한 2형원 정자계 해석 (2-D Magnetostatic Field Analysis Using Adaptive Boundary Element Method)

  • 고창섭;정현교;한송엽
    • 대한전기학회논문지
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    • 제40권3호
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    • pp.243-249
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    • 1991
  • Adaptive mesh refinement scheme is incorporated with the boundary element analysis in order to get accurate solution with relatively fewer unnowns for magnetostatic field analysis. A new andsimple posteriori local error estimate is also presented. The local error is defined as an integraktion over the element of the difference between solutions from quadratic interpolation functions and linear interpolation functions and is used as the criterion for mesh refinement. Case study with a singular point reveals that adaptive meshes are more efficient in accuracy of solutions than uniform meshs generated by dividing al the elements evenly. The adaptive meshes give much better rate of convergence in global errors than the uniform meshes.

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육면형 병렬공작기계의 보간기 설계 (Interpolator Design for Cubic Parallel Manipulator)

  • 김현;홍대희;최우천;송재복
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2001년도 춘계학술대회 논문집
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    • pp.492-495
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    • 2001
  • In order to utilize a parallel machine tool for CAM system, the development of adequate interpolator is necessary. This paper presents a quintic B-spline interpolator with algorithm of limiting maximum interpolation error. The favored property of near arc-length parametrization in the curve representation is used in the implementation of the reference command generation. Then, this interpolator is applied to cubic parallel manipulator to show its validity.

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CNC 공작기계의 실시간 3차원 NURBS 보간기 개발 (Development of the Real-Time 3D NURBS Interpolator for CNC Machines)

  • 홍원표;양민양
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2000년도 춘계학술대회 논문집
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    • pp.1032-1035
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    • 2000
  • Increasing demands on precision machining with computerized numerical control (CNC) machines have necessitated that the tool to move not only position error as small as possible, but also with smoothly varying feedrates in space. This paper presents a new high precision interpolation algorithm for 3-dimensional (3D) Non-Uniform Rational B-Spline (NURBS) curve in the reference-pulse CNC technique. Based on the minimum path error strategy, real-time NURBS interpolator was developed in software and this was implemented with a PC-NC milling machine. The several experimental results have shown that the proposed NURBS interpolator is useful for the high precision machining of complex shapes. It is expected that this algorithm can be applied to the CNC machines for the machining of 3D free-form surfaces.

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자기베어링으로 지지된 연삭 스핀들의 런아웃 제어 (Runout Control of a Magnetically Suspended Grinding Spindle)

  • 노승국;경진호;박종권;최언돈
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2000년도 춘계학술대회 논문집
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    • pp.1011-1015
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    • 2000
  • In this paper, the case studies of reducing rotational errors is theoretically done for a grinding spindle with an active magnetic bearing system. The rotational errors acting on the magnetic bearing spindle are due to mass unbalance of rotor, runout, grinding excitation and unmodeled nonlinear dynamics of electromagnets. The adaptive feedforward method based on LMS algorithm is discussed to compensate output and input disturbances, and investigated its effectiveness by numerical simulation. The feedforward control reduced external excitation and rotational error for specified frequency. The interpolation method using impulse function for cancelling the electrical 'uncut is studied. These methods show their effectiveness for the rotational accuracy of the improving magnetic bearing spindle through some simulation results of the rotational error decreased by them.

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CNC 공작기계의 AC 서보 모터의 위치 및 속도 제어 특성 (AC Servo Motor Position and Speed Control Characteristics of CNC Machine Tools)

  • 박인준;백형래;정헌상;정수복;최송철
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 1998년도 전력전자학술대회 논문집
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    • pp.352-356
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    • 1998
  • This paper is a study about Ac servo motor position and speed control characteristics which depend on feedforward control, the acceleration / deceleration time constant after the interpolation, and PI control, automatic deceleration at corner in order to shape cutting control of feed drive system of the machine tool. The shape error caused by delay of the servo system in the direction of radius at the time of circular cutting is reduced by feedforward control. The shape error generated by the position command delay is minimized by using the acceleration / deceleration time constant after the interpolation. The results were verified to optical machining center experimentation of the machine tool.

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A Comparative Study on the Spatial Statistical Models for the Estimation of Population Distribution

  • Oh, Doo-Ri;Hwang, Chul Sue
    • 한국측량학회지
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    • 제33권3호
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    • pp.145-153
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    • 2015
  • This study aims to accurately estimate population distribution more specifically than administrative unites using a RK (Regression-Kriging) model. The RK model is the areal interpolation technique that involves linear regression and the Kriging model. In order to estimate a population’s distribution using a sample region, four different models were used, namely; a regression model, RK model, OK (Ordinary Kriging) model and CK (Co-Kriging) model. The results were then compared with each other. Evaluation of the accuracy and validity of evaluation analysis results were the basis RMSE (Root Mean Square Error), MAE (Mean Absolute Error), G statistic and correlation coefficient (ρ). In the sample regions, every statistic value of the RK model showed better results than other models. The results of this comparative study will be useful to estimate a population distribution of the metropolitan areas with high population density

Towards improving finite element solutions automatically with enriched 2D solid elements

  • Lee, Chaemin;Kim, San
    • Structural Engineering and Mechanics
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    • 제76권3호
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    • pp.379-393
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    • 2020
  • In this paper, we propose an automatic procedure to improve the accuracy of finite element solutions using enriched 2D solid finite elements (4-node quadrilateral and 3-node triangular elements). The enriched elements can improve solution accuracy without mesh refinement by adding cover functions to the displacement interpolation of the standard elements. The enrichment scheme is more effective when used adaptively for areas with insufficient accuracy rather than the entire model. For given meshes, an error for each node is estimated, and then proper degrees of cover functions are applied to the selected nodes. A new error estimation method and cover function selection scheme are devised for the proposed adaptive enrichment scheme. Herein, we demonstrate the proposed enrichment scheme through several 2D problems.