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Blade geometry design with kinematic ruled surface approximation

Authors:

Yayun Zhou,

Jörg Schulze,

Stefan SchäfflerAuthors Info & Claims

SAC '10: Proceedings of the 2010 ACM Symposium on Applied Computing

Pages 1266 - 1267

https://doi.org/10.1145/1774088.1774357

Published: 22 March 2010 Publication History

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Abstract

A blade geometry design method is proposed in this paper, which adopts a novel kinematic ruled surface approximation algorithm. The algorithm is applied to approximate a free-form blade surface as a ruled surface in order to reduce the manufacturing cost. By applying Klein mapping and Study mapping, a ruled surface in Euclidean space is transformed to a curve on a Dual Unit Sphere (DUS). The kinematic ruled surface approximation algorithm is set up based on the novel definition of a spline on the DUS and the corresponding spline interpolation algorithm. This representation of ruled surface links directly to the manufacture procedure.

References

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H. Chen and H. Pottmann. Approximation by ruled surfaces. J. Comput. Appl. Math., 102(1):143--156, 1999.

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J. Hoschek and U. Schwanecke. Interpolation and approximation with ruled surfaces. In R. Cripps, editor, The Mathematics of Surfaces VIII, pages 213--231. Information Geometers, 1998.

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K. S. Sprott. Kinematically generated ruled surfaces with applications in NC maching. PhD thesis, University of California, Davis, 2000.

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Y. Zhou, J. Schulze, and S. Schäffler. Dual spherical spline and its application in ruled surface approximation. 2009. submitted to Computer Aided Design.

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Cited By

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Zhou GLi YLiu CHao X(2015)A feature-based automatic broken surfaces fitting method for complex aircraft skin partsThe International Journal of Advanced Manufacturing Technology10.1007/s00170-015-7774-yOnline publication date: 8-Sep-2015
https://doi.org/10.1007/s00170-015-7774-y
Wang CElber G(2014)Multi-dimensional dynamic programming in ruled surface fittingComputer-Aided Design10.1016/j.cad.2014.02.00451(39-49)Online publication date: Jun-2014
https://doi.org/10.1016/j.cad.2014.02.004
Bi QLu YLi ZZhu LDing HLiu G(2013)Constrained Ruled Surface Reconstruction for 5-Axis NC Machining of Aero-StructureApplied Mechanics and Materials10.4028/www.scientific.net/AMM.365-366.938365-366(938-945)Online publication date: Aug-2013
https://doi.org/10.4028/www.scientific.net/AMM.365-366.938
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Blade geometry design with kinematic ruled surface approximation

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Published In

SAC '10: Proceedings of the 2010 ACM Symposium on Applied Computing

March 2010

2712 pages

ISBN:9781605586397

DOI:10.1145/1774088

Conference Chairs:
Sung Y. Shin
South Dakota State University
,
Sascha Ossowski
University Rey Juan Carlos, Spain
,
Michael Schumacher
University of Applied Sciences Western Switzerland, Switzerland
,
Program Chairs:
Mathew J. Palakal
Indiana University Purdue University
,
Chih-Cheng Hung
Southern Polytechnic State University

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

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Published: 22 March 2010

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SAC'10: The 2010 ACM Symposium on Applied Computing

March 22 - 26, 2010

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SAC '10 Paper Acceptance Rate 364 of 1,353 submissions, 27%;

Overall Acceptance Rate 1,650 of 6,669 submissions, 25%

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Zhou GLi YLiu CHao X(2015)A feature-based automatic broken surfaces fitting method for complex aircraft skin partsThe International Journal of Advanced Manufacturing Technology10.1007/s00170-015-7774-yOnline publication date: 8-Sep-2015
https://doi.org/10.1007/s00170-015-7774-y
Wang CElber G(2014)Multi-dimensional dynamic programming in ruled surface fittingComputer-Aided Design10.1016/j.cad.2014.02.00451(39-49)Online publication date: Jun-2014
https://doi.org/10.1016/j.cad.2014.02.004
Bi QLu YLi ZZhu LDing HLiu G(2013)Constrained Ruled Surface Reconstruction for 5-Axis NC Machining of Aero-StructureApplied Mechanics and Materials10.4028/www.scientific.net/AMM.365-366.938365-366(938-945)Online publication date: Aug-2013
https://doi.org/10.4028/www.scientific.net/AMM.365-366.938
Zhou YSchulze JSchäffler S(2013)Dual Spherical Spline and Its Application in Tool Path Planing for 5-Axis Flank MillingComputer Vision, Imaging and Computer Graphics. Theory and Applications10.1007/978-3-642-32350-8_2(19-32)Online publication date: 2013
https://doi.org/10.1007/978-3-642-32350-8_2
Zhou YSchulze JSchaffler S(2012)Dual spherical spline: A new representation of ruled surface optimization2012 12th International Conference on Control Automation Robotics & Vision (ICARCV)10.1109/ICARCV.2012.6485356(1193-1198)Online publication date: Dec-2012
https://doi.org/10.1109/ICARCV.2012.6485356

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Cone spline approximation via fat conic spline fitting

Computing the Minkowski sum of ruled surfaces

Improved positioning of cylindrical cutter for flank milling ruled surfaces

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