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contributor authorKaan Erkorkmaz
contributor authorYusuf Altintas
contributor authorASME Fellow
date accessioned2017-05-09T00:16:58Z
date available2017-05-09T00:16:58Z
date copyrightMay, 2005
date issued2005
identifier issn1087-1357
identifier otherJMSEFK-27864#339_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/132198
description abstractThis paper presents a parameterization and an interpolation method for quintic splines, which result in a smooth and consistent feed rate profile. The discrepancy between the spline parameter and the actual arc length leads to undesirable feed fluctuations and discontinuity, which elicit themselves as high frequency acceleration and jerk harmonics, causing unwanted structural vibrations and excessive tracking error. Two different approaches are presented that alleviate this problem. The first approach is based on modifying the spline tool path so that it is optimally parameterized with respect to its arc length, which allows it to be accurately interpolated in real-time with minimal complexity. The second approach is based on scheduling the spline parameter to accurately yield the desired arc displacement (hence feed rate), either by approximation of the relationship between the arc length and the spline parameter with a feed correction polynomial, or by solving the spline parameter iteratively in real-time at each interpolation step. This approach is particularly suited for predetermined spline tool paths, which are not arc-length parameterized and cannot be modified. The proposed methods have been compared to approximately arc-length C3 quintic spline parameterization (Wang, F.-C., Wright, P. K., Barsky, B. A., and Yang, D. C. H., 1999, “Approximately Arc-Length Parameterized C3 Quintic Interpolatory Splines,” ASME J. Mech. Des, 121 , No. 3., pp. 430–439) and first- and second-order Taylor series interpolation techniques (Huang, J.-T., and Yang, D. C. H., 1992, “Precision Command Generation for Computer Controlled Machines,” Precision Machining: Technology and Machine Development and Improvement, ASME-PED 58 , pp. 89–104; Lin, R.-S. 2000, “Real-Time Surface Interpolator for 3-D Parametric Surface Machining on 3-Axis Machine Tools,” Intl. J. Mach. Tools Manuf., 40 , No.10, pp. 1513–1526) in terms of feed rate consistency, computational efficiency, and experimental contouring accuracy.
publisherThe American Society of Mechanical Engineers (ASME)
titleQuintic Spline Interpolation With Minimal Feed Fluctuation
typeJournal Paper
journal volume127
journal issue2
journal titleJournal of Manufacturing Science and Engineering
identifier doi10.1115/1.1830493
journal fristpage339
journal lastpage349
identifier eissn1528-8935
keywordsSplines
keywordsInterpolation AND Polynomials
treeJournal of Manufacturing Science and Engineering:;2005:;volume( 127 ):;issue: 002
contenttypeFulltext


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