Abstract
This paper proposes anew general classification model and quantifying method for local shape errors of free-form surfaces. We extended Gaussian curvature for describing of local shape variations of any kinds of smooth surfaces by subtraction of each principle curvature between the erroneous surface and the original surface. According to the patterns of increase and decrease of the two principle curvatures, surface errors can be exactly categorized into three cases; (1) Up-bend (Mount) Case: both curvatures are increased, (2) Down-bend (Valley) Case: both curvature are decreased, (3) Twist CASE: one is increased and the other is decreased, at each corresponding location. As examples, identification and comparison between difference of numerical simulation result and measurement data from CAD data in sheet metal forming are shown.
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© 1998 Springer Science+Business Media Dordrecht
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Kase, K., Matsuki, N., Suzuki, H., Kimura, F., Makinouchi, A. (1998). Geometrical evaluation models in sheet metal forming: A classification method for shape errors of free-form surfaces. In: ElMaraghy, H.A. (eds) Geometric Design Tolerancing: Theories, Standards and Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5797-5_32
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DOI: https://doi.org/10.1007/978-1-4615-5797-5_32
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7656-9
Online ISBN: 978-1-4615-5797-5
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