Creation of Ship Body Form with Minimum Theoretical Resistance Using Finite Element Method

Jan P. Michalski, Antti Pramila and Simo Virtanen
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Jan P. Michalski: Technical University of Gdansk
Antti Pramila: Tampere University of Technology
Simo Virtanen: Tampere University of Technology

Chapter D30 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 263-270 from Springer

Abstract: Summary The paper presents an approximate solution of a nonlinear, isoperimetric and stationary variational problem. This is a mathematical model of an interesting engineering task in the field of Naval Architecture: creation process of such a surface S(Ω)⊂R3 which describes a ship body form with minimum theoretical total resistance for a given velocity of the ship. The surface S is a graph of an extremal which minimizes a functional representing mathematical model of ship resistance. An analytical model of the problem is formulated, and next, it is discretised using FEM approximation procedure with such basis and transformation functions that local domains are convex and global solution is of class C1(Ω) on a given domain Ω⊂R2. Using Ritz-finite element method the conditions for a stationary point are formulated and the solution is sought by math ematical programming technique. An illustrative example on an engineering task and a graphical representation of the solution is shown.

Keywords: Frictional Resistance; Naval Architecture; Hull Surface; Ship Form; Approximate Mathematical Model (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3653-9_30

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DOI: 10.1007/978-94-009-3653-9_30

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