• Title/Summary/Keyword: fitting method

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A chord error conforming tool path B-spline fitting method for NC machining based on energy minimization and LSPIA

  • He, Shanshan;Ou, Daojiang;Yan, Changya;Lee, Chen-Han
    • Journal of Computational Design and Engineering
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    • 제2권4호
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    • pp.218-232
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    • 2015
  • Piecewise linear (G01-based) tool paths generated by CAM systems lack $G_1$ and $G_2$ continuity. The discontinuity causes vibration and unnecessary hesitation during machining. To ensure efficient high-speed machining, a method to improve the continuity of the tool paths is required, such as B-spline fitting that approximates G01 paths with B-spline curves. Conventional B-spline fitting approaches cannot be directly used for tool path B-spline fitting, because they have shortages such as numerical instability, lack of chord error constraint, and lack of assurance of a usable result. Progressive and Iterative Approximation for Least Squares (LSPIA) is an efficient method for data fitting that solves the numerical instability problem. However, it does not consider chord errors and needs more work to ensure ironclad results for commercial applications. In this paper, we use LSPIA method incorporating Energy term (ELSPIA) to avoid the numerical instability, and lower chord errors by using stretching energy term. We implement several algorithm improvements, including (1) an improved technique for initial control point determination over Dominant Point Method, (2) an algorithm that updates foot point parameters as needed, (3) analysis of the degrees of freedom of control points to insert new control points only when needed, (4) chord error refinement using a similar ELSPIA method with the above enhancements. The proposed approach can generate a shape-preserving B-spline curve. Experiments with data analysis and machining tests are presented for verification of quality and efficiency. Comparisons with other known solutions are included to evaluate the worthiness of the proposed solution.

압입공정에서 기어의 이끝 및 이뿌리 변형량 예측 (A Prediction of the Amount of Dimensional Deformation of Addendum and Dedendum after Shrink Fitting Process)

  • 김지산;황범철;배원병;김철
    • 한국정밀공학회지
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    • 제28권4호
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    • pp.463-473
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    • 2011
  • The warm shrink fitting process is generally used to assemble automobile transmission parts (shaft/gear). But the fitting process can cause the dimensions of addendum and dedendum of the gear to change with respect to the fitting interference and the profile of the gear. As a result, there may be additional noise and vibration between gears. To address these problems, we analyzed the warm shrink fitting process according to process parameters; the fitting interference between the outer diameter of the shaft and the inner diameter of the gear, the inner diameter of the gear, addendum and dedendum of the gear, the heating temperature. In this study, a closed form equation for predicting the amount of deformation of addendum and dedendum in the R-direction was proposed. And the FEA method to analyze the cooling process was proposed for thermal-structural-thermal coupled field analysis of the warm shrink fitting process (heating-fitting-cooling process).

바이크 사용자용 지능형 Smart Sizing 및 Fitting 시스템 구현 (Implementation of Intellectual Smart Sizing and Fitting System for Bike User)

  • 연상호;윤달환
    • 한국콘텐츠학회논문지
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    • 제13권5호
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    • pp.451-458
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    • 2013
  • 본 논문에서는 전문가용 Bike를 위한 sizing 및 fitting 시스템을 구현한다. 수동으로 신체의 사이즈를 측정하여 그에 맞는 프레임을 선정하여 산악용 바이크를 제작함으로써 많은 시간이 걸린다. 이 비해 신체의 조건을 자동측정하고 자전거의 프레임과 여러 가지 부품을 세팅함으로써 시간절약은 물론 무리한 운동으로 오는 질병을 예방할 수 있다. 본 연구는 신체의 자동측정을 위하여 크로마키 기법을 이용한 피사체의 아바타 영상정보 추출을 통하여 사이징(sizing)과 피팅(fitting)을 실시하는 알고리즘을 제시한다. 이때 사용자는 정보를 손쉽게 취득할 수 있고, 필요에 따라 그 정보를 활용함으로써 사용자는 고객관리 뿐만 아니라 보다 신속하고 정확한 데이터 관리에 충실함으로써 시간절약은 물론 서비스를 원활히 할 수 있다.

ESPI 에서의 이상적인 위상도 추출과 필터링 방법 (Ideal Phase map Extraction Method and Filtering of Electronic Speckle Pattern Interferometry)

  • 유원재;이주성;강영준;채희창
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2001년도 춘계학술대회 논문집
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    • pp.235-238
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    • 2001
  • Deformation phase can be obtained by using Least-Square Fitting. In extraction of phase values, Least-Square Fitting is superior to usual method like as 2, 3, 4-Bucket Algorithm. That can extract almost noise-free phase and retain 2$\pi$discontinuities. But more fringe in phase map, 2$\pi$ discontinuities is destroyed when that is filtered and reconstruction of deformation is not reliable. So, we adapted Least-Square Fitting using an isotropic window in dense fringe. using Sine-Cosine filter give us perfect 2$\pi$discontinuities information. We showed the process and result of extraction of phase map and filtering in this paper.

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전자 스페클 간섭법에서의 이상적인 위상도 추출과 필터링 방법 (Ideal Phase map Extraction Method and Filtering of Electronic Speckle Pattern Interferometry)

  • 강영준;이주성;박낙규;권용기
    • 한국정밀공학회지
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    • 제19권12호
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    • pp.20-26
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    • 2002
  • Deformation phase can be obtained by using Least-Square fitting. In extraction of phase values, Least-Square Fitting is superior to usual method such as 2, 3, 4-Bucket Algorithm. That can extract almost noise-free phase and retain 2 $\pi$ discontinuities. But more fringes in phase map, 2 $\pi$ discontinuities are destroyed when that are filtered and reconstruction of deformation is not reliable. So, we adapted Least-Square fitting using an isotropic window in dense fringe. Using Sine/cosine filter give us perfect 2 $\pi$ discontinuities information. We showed the process and result of extraction of phase map and filtering in this paper.

무 결합계수-회전변환의, 최적화된 유리함수 Fitting에 의한 효율적인 RF대역 여파기 설계기법 (An Efficient Design Method of RF Filters via Optimized Rational-Function Fitting, without Coupling-Coefficient Similarity Transformation)

  • 주정호;강승택;김형석
    • 한국정보통신설비학회:학술대회논문집
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    • 한국정보통신설비학회 2006년도 하계학술대회
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    • pp.202-204
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    • 2006
  • A new method is presented to design RF filters without the Similarity Transform of their coupling coefficient matrix as circuit parameters which is very tedious due to pivoting and deciding rotation angles needed during the iterations. The transfer function of a filter is directly used for the design and its desired form is derived by the optimized rational-function fitting technique. A 3rd order Coaxial Lowpass filter and an 8th order dual-mode elliptic integral function response filter are taken as an example to validate the proposed method.

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비선형 최소제곱법을 이용한 점탄성 감쇠를 갖는 원통셀의 실험진동해석 (Experimental Vibration Analysis for Viscoelastically Damped Circular Cylindrical Shell Using Nonlinear Least Square Method)

  • 민천홍;박한일;배수룡
    • 한국해양공학회지
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    • 제22권3호
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    • pp.41-46
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    • 2008
  • It is a recent trend for advanced ships and submarines to incorporate composite structures with viscoelastically damping material. Much research has been done on curve-fitting techniquesto identify vibration characteristic parameters such as natural frequencies, modal damping ratios, and mode shapes of the composite structure. In this study, an advanced technique for accurately determining vibration characteristic of a circular cylindrical shell-attached viscoelastically damping material is used, based on a multi-degree of freedom (MDOF) curve-fitting method. First, an initial value is obtained by using a linear least square method. Next, using the initial value, the exact modal parameters of the composite circular cylindrical shell are obtained by using a nonlinear least square method. Results show computation time is greatly decreased and accurate results are obtained by the MDOF curve-fitting method.

인벌류트 곡선의 Biarc Curve Fitting 최적화에 관한 연구 (A Study on the Optimized Biarc Curve Fitting of Involute Curve)

  • 조승래;이춘만
    • 한국정밀공학회지
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    • 제16권4호통권97호
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    • pp.71-78
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    • 1999
  • The determination of the optimum biarc curve passing through a given set of points along involute curve is studied. The method adopted is that of finding the optimum number of span and the optimum length of the span such that error between the biarc curve and involute curve minimum. Iterative method is effectively used to find the optimim number and length of the span on involute curve with reduced length of NC-code.

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Involute Curve의 Biarc Curve Fitting에 관한 연구 (A study on the biarc curve fitting of involute curve)

  • 이춘만;이승훈;조승래
    • 한국정밀공학회지
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    • 제13권12호
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    • pp.78-85
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    • 1996
  • The determination of the optimum biarc curve passing through a given set of points along involute curve is studied. The method adopted is that of finding the optimum no. of span and the optimum length of the span such that the error between the biarc curve and involute curve is minimum. Irregular curve span method is effectively used to describe the involute curve with reduced length of NC-Code.

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크리프 균열 성장 실험을 위한 소성 변위 결정법 (Plastic Displacement Estimates in Creep Crack Growth Testing)

  • 허남수;윤기봉;김윤재
    • 대한기계학회논문집A
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    • 제30권10호
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    • pp.1219-1226
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    • 2006
  • The ASTM test standard recommends the use of the compact tension specimen for creep crack growth rates measurement. In the creep crack growth rate test, the displacement rate due to creep is obtained by subtracting the contribution of elastic and plastic components from the total load line displacement rate based on displacement partitioning method fur determining $C^*-integral$, which involves Ramberg-Osgood (R-O) fitting procedures. This paper investigates the effect of the R-O fitting procedures on plastic displacement rate estimates in creep crack growth testing, via detailed two-dimensional and three-dimensional finite element analyses of the standard compact tension specimen. Four different R-O fitting procedures are considered; (i) fitting the entire true stress-strain data up to the ultimate tensile strength, (ii) fitting the true stress-strain data from 0.1% strain to 0.8 of the true ultimate strain, (iii) fitting the true stress-strain data only up to 5% strain, and (iv) fitting the engineering stress-strain data. It is found that the last two procedures provide reasonably accurate plastic displacement rates and thus should be recommended in creep crack growth testing. Moreover, several advantages of fitting the engineering stress-strain data over fitting the true stress-strain data only up to 5% strain are discussed.