The generalised Cornu spiral and its application to span generation
نویسنده
چکیده
A Cornu spiral is a plane curve having a linear curvature pro le. This paper considers plane curves having rational linear curvature pro les. These curves are de ned to be generalised Cornu spirals (GCS) and are quality curves in the sense that they are continuous and smooth, can contain one in ection at most, and have a bounded and monotonic curvature pro le. In addition, the GCS has an extra degree of freedom over the Cornu spiral that is available for shape control. Starting from the intrinsic equation of the GCS, the technique of curve synthesis is used to design a quality curve that can be applied to a wide range of span generation problems. c © 1999 Elsevier Science B.V. All rights reserved.
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تاریخ انتشار 1999