• Title/Summary/Keyword: Parametric error

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Unified Parametric Approaches for Observer Design in Matrix Second-order Linear Systems

  • Wu Yun-Li;Duan Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • v.3 no.2
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    • pp.159-165
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    • 2005
  • This paper designs observers for matrix second-order linear systems on the basis of generalized eigenstructure assignment via unified parametric approach. It is shown that the problem is closely related with a type of so-called generalized matrix second-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two unified complete parametric methods for the proposed observer design problem are presented. Both methods give simple complete parametric expressions for the observer gain matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the right factorization of the system, and allows eigenvalues of the error system to be set undetermined and sought via certain optimization procedures. A spring-mass system is utilized to show the effect of the proposed approaches.

Rank Transformation Technique in a Two-stage Two-level Balanced Nested Design (이단계 이수준 균형지분모형의 순위변환 기법연구)

  • Choi Young-Hun
    • The Korean Journal of Applied Statistics
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    • v.19 no.1
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    • pp.111-120
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    • 2006
  • In a two-stage two-level balanced nested design, type I error rates for the parametric tests and the rank transformed tests for the main effects and the nested effects are in overall similar to each other. Furthermore, powers for the rank transformed statistic for the main effects and the nested effects in a two-stage two-level balanced nested design are generally superior to powers for the parametric statistic When the effect size and the sample size are increased, we can find that powers increase for the parametric statistic and the rank transformed statistic are dramatically improved. Especially for the case of the fixed effects in the asymmetric distributions such as an exponential distribution, powers for the rank transformed tests are quite high rather than powers for the parametric tests.

DEVELOPMENT OF COMPUTER SOFTWARE FOR CALCULATION OF VOLUMETRIC ERROR MAP IN 3 AXIS CMMs

  • Park, H.;M.Burdekin;G.Peggs
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1992.03a
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    • pp.131-158
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    • 1992
  • Verification, calibration, and compensation are becoming more essential elements for manufacture and maintenance of high performance CMMs. A computer module of volumetric error generation has been developed to calculate volumetric errors (random as well as systematic) from measured parametric errors, accepting most types of CMMs in current use. New transformation rules have been derived to transform all the parametric errors with respect to the origin of working volume considered, then incorporated, then incorporated into the module of error calculation. Two cases of practical CMMs are tested with the developed module, and showed good performance.

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Development of Numerical CCM in Pursuit of Accuracy Assessment for Coordinate Measuring Machines (정밀도 성능평가를 위한 3차원 측정기 수치모델 개발)

  • Park, Hui-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.3
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    • pp.945-959
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    • 1996
  • In this paper, a comprehensive computer model is described which can be used to generate the volumetric error map combining the machine parametric errors and the measurement prove error, for most types of CMMs and axis configurations currently in use.

A Toolpath Generation for CNC Machining of Free-form Surfaces (자유 곡면의 CNC 가공을 위한 가공경로의 생성)

  • Seong, Wan;Choi, Chong-Ho;Song, O-Sok
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.4 s.97
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    • pp.129-137
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    • 1999
  • A parametric curve interpolator has been proposed for machining curves instead of a linear interpolator in which curves are approximated by a set of line segment. The parametric curve interpolator is superior to linear interpolator in machining time and contour error and generate exact position commands directly from curve equations. In this paper, a new toolpath generation method is proposed based on the parametric curve interpolator. This method retains all the benefits of parametric curve interpolator and can bound the scallop height within a specified value. By interpolating curves and surfaces directly from the mathematical equations, the amount of data from CAD/CAM system to CNC controller can be significantly reduced. The proposed method was implemented on a CNC controller and was confirmed to give a better result than the other existing method.

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Vibrations of a taut horizontal cable subjected to axial support excitations considering nonlinear quasi-static responses

  • Jiang Yi;Yingqi Liu
    • Structural Engineering and Mechanics
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    • v.86 no.2
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    • pp.221-235
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    • 2023
  • To calculate the vibrations of a tout cable subjected to axial support excitations, a nonlinear relationship of cable force and the support displacement under static situations are employed to depict the quasi-static vibration of the cable. The dynamic components of quasi-static vibration are inputted as "direct loads" to cause the parametric vibrations on the cable. Both the governing equations of motion and deformation compatibility for parametric vibrations are then derived, which indicates the high coupling of cable parametric force and deformation. Numerical solutions, based on the finite difference method, are put forward for the parametric vibrations, which is validated by the finite element method under periodic axial support excitations. For the quasi-static response, the shorter cables are more sensitive to support excitations than longer ones at small cable force. The quasi-static cable force makes the greatest contribution to the total cable force, but the parametric cable force is responsible for the occurrence of cable loosening at large excitation amplitudes. Moreover, this study also revealed that the traditional approach, assuming a linear relationship between quasi-static cable force and axial support displacement, would result in some great error of the cable parametric responses.

3-Dimensional Error Calibration of CMMs Using a Hole-Plate Artefaet (홀-플레이트(Hole-Plate)를 이용한 3차원좌표측정기의 공간오차 측정)

  • ;;M. Burdekin
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.4
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    • pp.67-74
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    • 1996
  • 3차원좌표측정기(Coordinate Measuring Machine)의 공간오차(Volumetric error)의 측정을 위하여 홀-플레이트(Hole-Plate)를 이용하는 방법이 연구되었다. 티타늄 또는 세라믹으로 제작되는 홀-플레이트의 설계 예를 보였다. 홀-플레이트의 측정홀 숫자와 진원도(Roundness)의 영향이 연구되었으며, 또한 홀-플레이트의 설치시 발생하는 오차도 검토되었다. 3차원좌표측정기의 공간오차성분 모두를 별도로 측정하는 방법이 제안되었다. 홀-플레이트를 이용 2차원 및 3차원 공간의 길이 오차를 직접적으로 측정하는 방법도 소개되었다.

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Parametric design for mechanical structure using knowledge-based system (역학적 구조에 대한 Knowledge-based 시스템을 이용한 파라메트릭 설계)

  • 이창호;김병인;정무영
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.1018-1023
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    • 1993
  • In mechanical structure design area, many FEM (Finite Element Method) packages are used. But the design using FEM packages depends on an iterative trial and error manner and general CAD systems cannot cope with the change of parameters. This paper presents a methodology for building a designing system of a mechanical structure. This system can generate the drawing for a designed structure automatically. It consists of three steps: generation of a structure by selection of the parameters, stress analysis, and generation of a drawing using CAD system. FEM module and parametric CAD module are developed for this system. Inference engine module generates the parameters with a rule base and a model base, and also evaluates the current structure. The parametric design module generates geometric shapes automatically with given dimension. Parametric design is implemented with the artificial intelligent technique. In older to the demonstrate the effectiveness of the developed system, a frame set of bicycle was designed. The system was implemented on an SUN workstation using C language under OpenWindows environment.

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A Technique of Calculating a Weighted Euclidean Distance with a Personalized Feature Set in Parametric Signature Verification (매개변수적 서명 검증에서 개인화된 특징 집합의 가중치 유클리드 거리 산출 기법)

  • Kim, Seong-Hoon
    • Journal of the Korea Society for Simulation
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    • v.14 no.3
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    • pp.137-146
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    • 2005
  • In parametric approach to a signature verification, it generally uses so many redundant features unsuitable for each individual signature that it causes harm, instead. This paper proposes a method of determining personalized weights of a feature set in signature verification with parametric approach by identifying the characteristics of each feature. For an individual signature, we define a degree of how difficult it is for any other person to forge the one's (called 'DFD' as the Degree of Forgery Difficulty). According to the statistical characteristics and the intuitional characteristics of each feature, the standard features are classified into four types. Four types of DFD functions are defined and applied into the distance calculation as a personalized weight factor. Using this method, the error rate of signature verification is reduced and the variation of the performance is less sensitive to the changes of decision threshold.

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