The Use of a Tension Parameter in Surface Modeling

Da-Pan Chen and Tser-Liang Lin
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Da-Pan Chen: National Chiao Tung University, Department of Mechanical Engineering
Tser-Liang Lin: National Chiao Tung University, Department of Mechanical Engineering

Chapter S6 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 579-586 from Springer

Abstract: Abstract In this paper, the Nu-spline surface is derived and used to model several complicated machine parts, A Nu-spline is essentially a conventional cubic spline with tension control. Tensions applied at the joints of the curve segments enable the curve to turn around sharp corners without undesirable oscillations. The Nu-spline surface thus can turn around sharp edges without undesirable effects. It is derived on the basis to satisfy the G2-continuity. Several restrictions are imposed to the surface to make it practicable.

Keywords: Internal Combustion Engine; Curve Segment; Spline Curve; Tension Parameter; Tension Control (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-94-009-3653-9_64

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