Mathematical Ship Lofting

Author:

Berger S. A.1,Webster W. C.2,Tapia R. A.3,Atkins D. A.3

Affiliation:

1. University of California and Todd Shipyards Corporation

2. Hydronautics, Inc.

3. Todd Shipyards Corporation

Abstract

The problem of fairing the hull surface of a ship is formulated as a linear programming problem using an analytic representation of the technique commonly employed in graphical lofts, i.e., the use of battens. With the help of a smoothing procedure devised for this problem it is shown how one may mathematically proceed from the naval architect's preliminary offsets to the faired, molded hull form with little, if any, human intervention; the final form satisfying the same continuity conditions as if it were faired graphically. The solution of the linear programming problem results in a surface equation from which all of the usual loft information needed for parts definition (shell-plate development, longitudinals, and so on) can be obtained. The method is intended to be accurate enough to be employed as a production tool in the shipyard. Examples of the application of the results to specific ship surfaces is presented.

Publisher

The Society of Naval Architects and Marine Engineers

Subject

Applied Mathematics,Mechanical Engineering,Ocean Engineering,Numerical Analysis,Civil and Structural Engineering

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Protein image alignment via tensor product cubic splines;Optimization Methods and Software;2007-02

2. An optimization approach for fairing of ship hull forms;Ocean Engineering;2006-11

3. A History of Curves and Surfaces in CAGD;Handbook of Computer Aided Geometric Design;2002

4. References;Handbook of Splines;1999

5. Automatic hull form generation: a practical tool for design and research;Developments in Marine Technology;1998

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