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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



The fairing of ship lines on a high-speed computer

Authors: Feodor Theilheimer and William Starkweather
Journal: Math. Comp. 15 (1961), 338-355
MSC: Primary 68.00
MathSciNet review: 0128588
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Abstract: Methods for using a digital high-speed computer to determine ship lines are presented. It is assumed that the offsets of a small number of points were taken from a preliminary design, and that it is desired to compute the offsets of an arbitrarily large number of points on the ship's surface. Procedures for using a computer for the solution of this problem are described. Special emphasis is placed on the detection, by a computational criterion, of unwanted fluctuations and the correction of such fluctuations if they should occur. The method also includes a special procedure which takes care that those portions which are straight in the preliminary design remain straight in the final form. Illustrative examples of the methods are discussed.

References [Enhancements On Off] (What's this?)

  • [1] D. W. Taylor, ``Calculations for ships' forms and the light thrown by model experiments upon resistance, propulsion, and rolling of ships,'' Trans. International Engrg. Congress, San Francisco, 1915.
  • [2] H. E. Saunders, Hydrodynamics in Ship Design, v. 2, The Society of Naval Architects and Marine Engineers, New York, 1957, p. 186-205.
  • [3] W. H. Rösingh & J. Berghius, ``Mathematical ship form,'' International Shipbuilding Progress, v. 6, January 1959.
  • [4] P. C. Pien, Mathematical Ship Surface, David Taylor Model Basin Report 1398, January 1960.
  • [5] J. E. Kerwin, ``Polynomial surface representation of arbitrary ship forms,'' J. of Ship Research, v. 4, June 1960.

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Article copyright: © Copyright 1961 American Mathematical Society