• Title/Summary/Keyword: Iterative precision

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Large Deflection Analysis of Plates By Using Small Local Deflections And Rotational Unit Vectors (미소 변형 및 회전 단위 벡터를 이용한 판의 대변형 해석)

  • 이기수
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.2
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    • pp.201-210
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    • 2000
  • The large deflection of plate is analyzed by co-rotational formulations using small local displacements and rotating unit vectors on the nodal points. The rotational degrees of the freedom are represent ed by the unit vectors1 In the nodal points, and the equilibrium equations are formulated by using small deflection theories of the plates by assuming that the directions of the unit vectors of the nodal points are known apriori. The translational degrees of freedom are independently solved from the rotational degrees of freedom in the equilibrium equations, and the correct directions of the unit vectors are computed by the iterative scheme by imposing the moment equilibrium constraint. The equilibrium equations and the associated solution procedure are explained, and the verification problems are solved.

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Milling Chatter Stability Analysis in Consideration of Gyroscopic Effect (자이로 스코프 효과를 고려한 밀링 채터 안정성 해석)

  • 박재현;홍성욱;김현수;박중윤
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.2
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    • pp.58-63
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    • 2000
  • The dynamics of spindle-bearing-workpiece system significantly affects the cutting condition and stability in milling process. The present paper investigates the chatter stability of milling process due to the change in the dynamics of spindle-bearing-workpiece systems. In particular, the present paper focuses on chatter stability due to the presence of gyroscopic effect. An eigenvalue problem approach to the stability of milling process is extensively used in this paper. To incorporate the rotational speed dependent gyroscopic effect, an iterative algorithm is proposed. A numerical example is provided for examining the chatter stability problem in the presence of gyroscopic effects.

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자유곡면의 측정 및 공구경로산출을 위한 프로브반경보정 연구

  • 이성권;서석환
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.10a
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    • pp.71-76
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    • 2001
  • In the surface measurement system using touch probe, probe radius compensation is a key factor for accuracy. In this paper we investigate methods for compensating probe radius so that the surface equation for an "unknown surface" can be efficiently derived. The developed algorithm derives the surface equation by the iterative procedure of estimation, verification, and modification . Since the procedure is applied only for the surface region exceeding the tolerance limit, an accurate surface equation can be obtained with less computation and measurement point. The validity and effectiveness of the algorithm was tested by numerical simulations. The results convinced us that the develop algorithm can be used for surface measurement and tool path planning for NC machining.

Analysis of radial error motion in a small-sized and high-speed spindle (소형-고속 스핀들의 반경방향 오차분석 방법)

  • 이응삼;이재하;양승한
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.604-608
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    • 2004
  • In this paper, an efficient method is proposed to analyze the radial error of a miniaturized-high speed spindle system. Initially, a device is constructed for measuring the radial error motion using capacitance sensors. The capacitance sensors are placed perpendicular to the axis of the shaft and at 90o to each other. The spindle is rotated at high speed and the profile of the spindle is recorded. An algorithm is developed for analyzing the spindle data and determining the radial error of spindle. The present algorithm uses homogeneous transform matrix (HTM) method and iterative process for determining the radial error. The analysis procedure is performed for different speeds of the spindle. The data obtained from the present system and the results of evaluation are also presented in this paper. It is observed that this method is effective in determining and analyzing the spindle errors for high speed miniaturized spindle.

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An Interval Approach for Design and Analysis of Mechanical Systems with Uncertainties

  • Shin, Jae-Kyun;Li Chen;Jang, Woon-Geun
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.4
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    • pp.5-14
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    • 2002
  • This paper addresses the challenges of dealing with uncertainties based on interval analysis. An interval approach is proposed on the basis of Boundary Selection Method (BSM) for treating systems of linear interval equations in the presence of columnwise dependencies. An iterative procedure is developed for the problem solving where uncertainties are characterized in the form of interval quantities. An applied example is used to illustrate effectiveness and usefulness of the proposed approach. This new method can be applied for such circumstances that involve finite element analysis of structures, inverse dynamic analysis of mechanisms, and worst case design studies in the presence of the uncertainties.

A Camera Calibration Algorithm for an Ill-Conditioned Case (악조건하의 카메라 교정을 위한 알고리즘)

  • Lee, Jung-Hwa;Lee, Moon-Kyu
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.2 s.95
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    • pp.164-175
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    • 1999
  • If the camera plane is nearly parallel to the calibration board on which objects are defined, most of existing calibration approaches such as Tsai's radial-alignment-constraint method cannot be applied. Recently, for such an ill-conditioned case, Zhuang & Wu suggested the linear two-stage calibration algorithm assuming that the exact values of focal length and scale factor are known a priori. In this paper, we developed an iterative two-stage algorithm starts with initial guess fo the two parameters to determine the value of the others using Zhuang & Wu's method. In the second stage, the two parameters are locally optimized. This process is repeated until any improvement cannot be expected any more. The performance comparison between Zhuang & Wu's method and our algorithm shows the superiority of ours. Also included are the computational results for the effects of the distribution and the number of calibration points on the calibration performance.

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Automatic Mesh Generation in the General Three-Dimensional Trimmed Surface using Qua (쿼드트리를 이용한 일반적인 3차원 트림곡면에서의 유한요소 자동생성)

  • 유동진;윤정환
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.3
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    • pp.136-148
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    • 2000
  • In this work, a general method for the mathematical description of three-dimensional trimmed surface is proposed by introducing the base parametric surface and boundary curves. Since mesh density distribution for the analysis may vary by cases, a grid-based mesh generation algorithm using quadtree is proposed in the present work. For the assurance of connectivity of generated meshes among surfaces, a method for the pre-cleaning of boundary curves has been developed to be used in the automatic generation of the finite elements. In addition, mesh-smoothing algorithm is suggested which can be used in the general trimmed surface. In this algorithm nodes are moved on the original surface by the normal projection in each iterative smoothing procedure.

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A Study on the Development of the measurement system of the Power steering unit for Automobile (자동차용 Poewer steering unit 의 자동측정시스템 개발에 관한 연구)

  • 기창두;김상묵
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.925-928
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    • 1995
  • Recently, the system of the industry demands quick and accurate measurement for the mass production and high quality. Also, we need to improve the accuracy to decrease the failure rate in automatic assembly processing and improve the confidence, durability and the compatibility of parts. To answer this tendency and requirement, we have developed many accrate measuring instruments and methods. In this paper, we develop the whidows program using the DSP board(TMS320C25) which is used the data acquisition and the Visual C $^{++}$ , a windows programming language. We perform the measurement, analysis and output process in GUI(Graphic User Interface)environment. By using system, we will save the time required for the hand-worked measurement and avoid the useless iterative measurement. Furthermore, we expect to improve the productivity through automotive quality control in manufacturing process.s.

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A Numerical Method for Cam Synthesis (캠 합서에 관한 수치해석적 방법)

  • 심수섭;김창부
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.445-450
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    • 2000
  • In this paper, a numerical method is proposed for cam synthesis. kinematics of closed loop system with cam and follower is presented using relative coordinates. The system is transformed into an open loop system by cutting fictitiously higher-pair contact of cam and follower and envelope constraint equations are derived. Follower constraint equations are derived from the motion of the follower ends. The joint variables and follower profile parameters are calculated from the envelope constraint equations and follower constraint equations by using the Newton - Raphson iterative method. Algorithms for cam synthesis are presented and simulations are done to verify the effectiveness of the proposed method.

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Design Methodology of Preform for Reducing Tool Wear in Cold Forging (냉간 단조 금형의 마멸 감소를 위한 예비성형체 설계방법)

  • 이진호;김태형;김병민
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.4
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    • pp.118-124
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    • 1998
  • The die wear is one of the main factors affecting die accuracy and tool lifetime. It is desired to reduce die wear by developing simulation method to predict wear based on process variables, and then optimizing the process. Therefore, this paper describes methodology of preform design for minimizing wear of finisher die in multi-stage cold forging processes. The finite element method is combined with the routine of wear prediction. The cold forging process is analyzed using developed simulation method. In order to obtain preform to minimize die wear, the Flexible Polyhedron Search(FPS) algorithm is used. The optimal preform shape is found from iterative deformation analysis and wear calculation.

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